TSTP Solution File: ALG148+1 by Zenon---0.7.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : ALG148+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 18:30:31 EDT 2022
% Result : Unsatisfiable 9.82s 10.09s
% Output : Proof 10.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : ALG148+1 : TPTP v8.1.0. Released v2.7.0.
% 0.00/0.11 % Command : run_zenon %s %d
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 600
% 0.10/0.30 % DateTime : Tue Jun 7 23:33:36 EDT 2022
% 0.10/0.31 % CPUTime :
% 9.82/10.09 (* PROOF-FOUND *)
% 9.82/10.09 % SZS status Unsatisfiable
% 9.82/10.09 (* BEGIN-PROOF *)
% 9.82/10.09 % SZS output start Proof
% 9.82/10.09 Theorem zenon_thm : False.
% 9.82/10.09 Proof.
% 9.82/10.09 assert (zenon_L1_ : ((op (e1) (e1)) = (e1)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> False).
% 9.82/10.09 do 0 intro. intros zenon_H1d zenon_H1e zenon_H1f.
% 9.82/10.09 elim (classic ((op (e1) (e1)) = (op (e1) (e1)))); [ zenon_intro zenon_H20 | zenon_intro zenon_H21 ].
% 9.82/10.09 cut (((op (e1) (e1)) = (op (e1) (e1))) = ((op (e0) (e1)) = (op (e1) (e1)))).
% 9.82/10.09 intro zenon_D_pnotp.
% 9.82/10.09 apply zenon_H1f.
% 9.82/10.09 rewrite <- zenon_D_pnotp.
% 9.82/10.09 exact zenon_H20.
% 9.82/10.09 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H21].
% 9.82/10.09 cut (((op (e1) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H22].
% 9.82/10.09 congruence.
% 9.82/10.09 cut (((op (e1) (e1)) = (e1)) = ((op (e1) (e1)) = (op (e0) (e1)))).
% 9.82/10.09 intro zenon_D_pnotp.
% 9.82/10.09 apply zenon_H22.
% 9.82/10.09 rewrite <- zenon_D_pnotp.
% 9.82/10.09 exact zenon_H1d.
% 9.82/10.09 cut (((e1) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H23].
% 9.82/10.09 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H21].
% 9.82/10.09 congruence.
% 9.82/10.09 apply zenon_H21. apply refl_equal.
% 9.82/10.09 apply zenon_H23. apply sym_equal. exact zenon_H1e.
% 9.82/10.09 apply zenon_H21. apply refl_equal.
% 9.82/10.09 apply zenon_H21. apply refl_equal.
% 9.82/10.09 (* end of lemma zenon_L1_ *)
% 9.82/10.09 assert (zenon_L2_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e0)) = (e3))) -> False).
% 9.82/10.09 do 0 intro. intros zenon_H24 zenon_H25 zenon_H26 zenon_H1e zenon_H27 zenon_H28.
% 9.82/10.09 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H2a | zenon_intro zenon_H29 ].
% 9.82/10.09 exact (zenon_H25 zenon_H2a).
% 9.82/10.09 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_H2c | zenon_intro zenon_H2b ].
% 9.82/10.09 elim (classic ((op (e0) (e1)) = (op (e0) (e1)))); [ zenon_intro zenon_H2d | zenon_intro zenon_H2e ].
% 9.82/10.09 cut (((op (e0) (e1)) = (op (e0) (e1))) = ((op (e0) (e0)) = (op (e0) (e1)))).
% 9.82/10.09 intro zenon_D_pnotp.
% 9.82/10.09 apply zenon_H26.
% 9.82/10.09 rewrite <- zenon_D_pnotp.
% 9.82/10.09 exact zenon_H2d.
% 9.82/10.09 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H2e].
% 9.82/10.09 cut (((op (e0) (e1)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 9.82/10.09 congruence.
% 9.82/10.09 cut (((op (e0) (e1)) = (e1)) = ((op (e0) (e1)) = (op (e0) (e0)))).
% 9.82/10.09 intro zenon_D_pnotp.
% 9.82/10.09 apply zenon_H2f.
% 9.82/10.09 rewrite <- zenon_D_pnotp.
% 9.82/10.09 exact zenon_H1e.
% 9.82/10.09 cut (((e1) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H30].
% 9.82/10.09 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H2e].
% 9.82/10.09 congruence.
% 9.82/10.09 apply zenon_H2e. apply refl_equal.
% 9.82/10.09 apply zenon_H30. apply sym_equal. exact zenon_H2c.
% 9.82/10.09 apply zenon_H2e. apply refl_equal.
% 9.82/10.09 apply zenon_H2e. apply refl_equal.
% 9.82/10.09 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H32 | zenon_intro zenon_H31 ].
% 9.82/10.09 exact (zenon_H27 zenon_H32).
% 9.82/10.09 exact (zenon_H28 zenon_H31).
% 9.82/10.09 (* end of lemma zenon_L2_ *)
% 9.82/10.09 assert (zenon_L3_ : (~((e1) = (e1))) -> False).
% 9.82/10.09 do 0 intro. intros zenon_H33.
% 9.82/10.09 apply zenon_H33. apply refl_equal.
% 9.82/10.09 (* end of lemma zenon_L3_ *)
% 9.82/10.09 assert (zenon_L4_ : ((op (e0) (e1)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> (~((e1) = (e2))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H1e zenon_H34 zenon_H35.
% 9.92/10.09 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ].
% 9.92/10.09 cut (((e2) = (e2)) = ((e1) = (e2))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H35.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H36.
% 9.92/10.09 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 9.92/10.09 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 9.92/10.09 congruence.
% 9.92/10.09 cut (((op (e0) (e1)) = (e1)) = ((e2) = (e1))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H38.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H1e.
% 9.92/10.09 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 9.92/10.09 cut (((op (e0) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H39].
% 9.92/10.09 congruence.
% 9.92/10.09 exact (zenon_H39 zenon_H34).
% 9.92/10.09 apply zenon_H33. apply refl_equal.
% 9.92/10.09 apply zenon_H37. apply refl_equal.
% 9.92/10.09 apply zenon_H37. apply refl_equal.
% 9.92/10.09 (* end of lemma zenon_L4_ *)
% 9.92/10.09 assert (zenon_L5_ : ((op (e2) (e2)) = (e2)) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H3a zenon_H3b zenon_H3c.
% 9.92/10.09 elim (classic ((op (e2) (e2)) = (op (e2) (e2)))); [ zenon_intro zenon_H3d | zenon_intro zenon_H3e ].
% 9.92/10.09 cut (((op (e2) (e2)) = (op (e2) (e2))) = ((op (e0) (e2)) = (op (e2) (e2)))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H3c.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H3d.
% 9.92/10.09 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H3e].
% 9.92/10.09 cut (((op (e2) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H3f].
% 9.92/10.09 congruence.
% 9.92/10.09 cut (((op (e2) (e2)) = (e2)) = ((op (e2) (e2)) = (op (e0) (e2)))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H3f.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H3a.
% 9.92/10.09 cut (((e2) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 9.92/10.09 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H3e].
% 9.92/10.09 congruence.
% 9.92/10.09 apply zenon_H3e. apply refl_equal.
% 9.92/10.09 apply zenon_H40. apply sym_equal. exact zenon_H3b.
% 9.92/10.09 apply zenon_H3e. apply refl_equal.
% 9.92/10.09 apply zenon_H3e. apply refl_equal.
% 9.92/10.09 (* end of lemma zenon_L5_ *)
% 9.92/10.09 assert (zenon_L6_ : (~((e0) = (e0))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H41.
% 9.92/10.09 apply zenon_H41. apply refl_equal.
% 9.92/10.09 (* end of lemma zenon_L6_ *)
% 9.92/10.09 assert (zenon_L7_ : (((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) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e2))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H42 zenon_H27 zenon_H35 zenon_H1e zenon_H3c zenon_H3a zenon_H43 zenon_H44.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 9.92/10.09 exact (zenon_H27 zenon_H32).
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 9.92/10.09 apply (zenon_L4_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 9.92/10.09 apply (zenon_L5_); trivial.
% 9.92/10.09 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ].
% 9.92/10.09 cut (((e2) = (e2)) = ((e0) = (e2))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H44.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H36.
% 9.92/10.09 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 9.92/10.09 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H48].
% 9.92/10.09 congruence.
% 9.92/10.09 cut (((op (e0) (e3)) = (e0)) = ((e2) = (e0))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H48.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H43.
% 9.92/10.09 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H41].
% 9.92/10.09 cut (((op (e0) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H49].
% 9.92/10.09 congruence.
% 9.92/10.09 exact (zenon_H49 zenon_H47).
% 9.92/10.09 apply zenon_H41. apply refl_equal.
% 9.92/10.09 apply zenon_H37. apply refl_equal.
% 9.92/10.09 apply zenon_H37. apply refl_equal.
% 9.92/10.09 (* end of lemma zenon_L7_ *)
% 9.92/10.09 assert (zenon_L8_ : ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H4a zenon_H35 zenon_H3c zenon_H3a zenon_H44 zenon_H42 zenon_H25 zenon_H26 zenon_H1e zenon_H27 zenon_H24.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 9.92/10.09 apply (zenon_L2_); trivial.
% 9.92/10.09 apply (zenon_L7_); trivial.
% 9.92/10.09 (* end of lemma zenon_L8_ *)
% 9.92/10.09 assert (zenon_L9_ : ((op (e0) (e1)) = (e1)) -> ((op (e0) (e1)) = (e3)) -> (~((e1) = (e3))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H1e zenon_H4b zenon_H4c.
% 9.92/10.09 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H4d | zenon_intro zenon_H4e ].
% 9.92/10.09 cut (((e3) = (e3)) = ((e1) = (e3))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H4c.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H4d.
% 9.92/10.09 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 9.92/10.09 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4f].
% 9.92/10.09 congruence.
% 9.92/10.09 cut (((op (e0) (e1)) = (e1)) = ((e3) = (e1))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H4f.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H1e.
% 9.92/10.09 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 9.92/10.09 cut (((op (e0) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H50].
% 9.92/10.09 congruence.
% 9.92/10.09 exact (zenon_H50 zenon_H4b).
% 9.92/10.09 apply zenon_H33. apply refl_equal.
% 9.92/10.09 apply zenon_H4e. apply refl_equal.
% 9.92/10.09 apply zenon_H4e. apply refl_equal.
% 9.92/10.09 (* end of lemma zenon_L9_ *)
% 9.92/10.09 assert (zenon_L10_ : ((op (e0) (e2)) = (e0)) -> ((op (e0) (e2)) = (e3)) -> (~((e0) = (e3))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H51 zenon_H52 zenon_H53.
% 9.92/10.09 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H4d | zenon_intro zenon_H4e ].
% 9.92/10.09 cut (((e3) = (e3)) = ((e0) = (e3))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H53.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H4d.
% 9.92/10.09 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 9.92/10.09 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H54].
% 9.92/10.09 congruence.
% 9.92/10.09 cut (((op (e0) (e2)) = (e0)) = ((e3) = (e0))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H54.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H51.
% 9.92/10.09 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H41].
% 9.92/10.09 cut (((op (e0) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H55].
% 9.92/10.09 congruence.
% 9.92/10.09 exact (zenon_H55 zenon_H52).
% 9.92/10.09 apply zenon_H41. apply refl_equal.
% 9.92/10.09 apply zenon_H4e. apply refl_equal.
% 9.92/10.09 apply zenon_H4e. apply refl_equal.
% 9.92/10.09 (* end of lemma zenon_L10_ *)
% 9.92/10.09 assert (zenon_L11_ : (((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)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H24 zenon_H25 zenon_H56 zenon_H27 zenon_H57 zenon_H58.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H2a | zenon_intro zenon_H29 ].
% 9.92/10.09 exact (zenon_H25 zenon_H2a).
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_H2c | zenon_intro zenon_H2b ].
% 9.92/10.09 exact (zenon_H56 zenon_H2c).
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H32 | zenon_intro zenon_H31 ].
% 9.92/10.09 exact (zenon_H27 zenon_H32).
% 9.92/10.09 elim (classic ((op (e0) (e3)) = (op (e0) (e3)))); [ zenon_intro zenon_H59 | zenon_intro zenon_H5a ].
% 9.92/10.09 cut (((op (e0) (e3)) = (op (e0) (e3))) = ((op (e0) (e0)) = (op (e0) (e3)))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H58.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H59.
% 9.92/10.09 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H5a].
% 9.92/10.09 cut (((op (e0) (e3)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H5b].
% 9.92/10.09 congruence.
% 9.92/10.09 cut (((op (e0) (e3)) = (e3)) = ((op (e0) (e3)) = (op (e0) (e0)))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H5b.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H57.
% 9.92/10.09 cut (((e3) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H5c].
% 9.92/10.09 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H5a].
% 9.92/10.09 congruence.
% 9.92/10.09 apply zenon_H5a. apply refl_equal.
% 9.92/10.09 apply zenon_H5c. apply sym_equal. exact zenon_H31.
% 9.92/10.09 apply zenon_H5a. apply refl_equal.
% 9.92/10.09 apply zenon_H5a. apply refl_equal.
% 9.92/10.09 (* end of lemma zenon_L11_ *)
% 9.92/10.09 assert (zenon_L12_ : ((op (e0) (e2)) = (e0)) -> ((op (e0) (e2)) = (e1)) -> (~((e0) = (e1))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H51 zenon_H5d zenon_H5e.
% 9.92/10.09 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H5f | zenon_intro zenon_H33 ].
% 9.92/10.09 cut (((e1) = (e1)) = ((e0) = (e1))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H5e.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H5f.
% 9.92/10.09 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 9.92/10.09 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 9.92/10.09 congruence.
% 9.92/10.09 cut (((op (e0) (e2)) = (e0)) = ((e1) = (e0))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H60.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H51.
% 9.92/10.09 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H41].
% 9.92/10.09 cut (((op (e0) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H61].
% 9.92/10.09 congruence.
% 9.92/10.09 exact (zenon_H61 zenon_H5d).
% 9.92/10.09 apply zenon_H41. apply refl_equal.
% 9.92/10.09 apply zenon_H33. apply refl_equal.
% 9.92/10.09 apply zenon_H33. apply refl_equal.
% 9.92/10.09 (* end of lemma zenon_L12_ *)
% 9.92/10.09 assert (zenon_L13_ : ((op (e0) (e3)) = (e1)) -> ((op (e0) (e3)) = (e3)) -> (~((e1) = (e3))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H62 zenon_H57 zenon_H4c.
% 9.92/10.09 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H4d | zenon_intro zenon_H4e ].
% 9.92/10.09 cut (((e3) = (e3)) = ((e1) = (e3))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H4c.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H4d.
% 9.92/10.09 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 9.92/10.09 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4f].
% 9.92/10.09 congruence.
% 9.92/10.09 cut (((op (e0) (e3)) = (e1)) = ((e3) = (e1))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H4f.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H62.
% 9.92/10.09 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 9.92/10.09 cut (((op (e0) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H63].
% 9.92/10.09 congruence.
% 9.92/10.09 exact (zenon_H63 zenon_H57).
% 9.92/10.09 apply zenon_H33. apply refl_equal.
% 9.92/10.09 apply zenon_H4e. apply refl_equal.
% 9.92/10.09 apply zenon_H4e. apply refl_equal.
% 9.92/10.09 (* end of lemma zenon_L13_ *)
% 9.92/10.09 assert (zenon_L14_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e3)) -> (~((e1) = (e3))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H64 zenon_H56 zenon_H1f zenon_H1d zenon_H5e zenon_H51 zenon_H57 zenon_H4c.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 9.92/10.09 exact (zenon_H56 zenon_H2c).
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 9.92/10.09 apply (zenon_L1_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 9.92/10.09 apply (zenon_L12_); trivial.
% 9.92/10.09 apply (zenon_L13_); trivial.
% 9.92/10.09 (* end of lemma zenon_L14_ *)
% 9.92/10.09 assert (zenon_L15_ : ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((e0) = (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)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e3)) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H67 zenon_H1f zenon_H1d zenon_H5e zenon_H4c zenon_H64 zenon_H25 zenon_H56 zenon_H58 zenon_H57 zenon_H24.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 9.92/10.09 apply (zenon_L11_); trivial.
% 9.92/10.09 apply (zenon_L14_); trivial.
% 9.92/10.09 (* end of lemma zenon_L15_ *)
% 9.92/10.09 assert (zenon_L16_ : ((op (e0) (e1)) = (e0)) -> ((op (e0) (e1)) = (e2)) -> (~((e0) = (e2))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H68 zenon_H34 zenon_H44.
% 9.92/10.09 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ].
% 9.92/10.09 cut (((e2) = (e2)) = ((e0) = (e2))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H44.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H36.
% 9.92/10.09 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 9.92/10.09 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H48].
% 9.92/10.09 congruence.
% 9.92/10.09 cut (((op (e0) (e1)) = (e0)) = ((e2) = (e0))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H48.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H68.
% 9.92/10.09 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H41].
% 9.92/10.09 cut (((op (e0) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H39].
% 9.92/10.09 congruence.
% 9.92/10.09 exact (zenon_H39 zenon_H34).
% 9.92/10.09 apply zenon_H41. apply refl_equal.
% 9.92/10.09 apply zenon_H37. apply refl_equal.
% 9.92/10.09 apply zenon_H37. apply refl_equal.
% 9.92/10.09 (* end of lemma zenon_L16_ *)
% 9.92/10.09 assert (zenon_L17_ : ((op (e1) (e0)) = (e0)) -> ((op (e1) (e0)) = (e2)) -> (~((e0) = (e2))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H69 zenon_H6a zenon_H44.
% 9.92/10.09 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ].
% 9.92/10.09 cut (((e2) = (e2)) = ((e0) = (e2))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H44.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H36.
% 9.92/10.09 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 9.92/10.09 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H48].
% 9.92/10.09 congruence.
% 9.92/10.09 cut (((op (e1) (e0)) = (e0)) = ((e2) = (e0))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H48.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H69.
% 9.92/10.09 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H41].
% 9.92/10.09 cut (((op (e1) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 9.92/10.09 congruence.
% 9.92/10.09 exact (zenon_H6b zenon_H6a).
% 9.92/10.09 apply zenon_H41. apply refl_equal.
% 9.92/10.09 apply zenon_H37. apply refl_equal.
% 9.92/10.09 apply zenon_H37. apply refl_equal.
% 9.92/10.09 (* end of lemma zenon_L17_ *)
% 9.92/10.09 assert (zenon_L18_ : ((op (e1) (e0)) = (e0)) -> ((op (e1) (e0)) = (e3)) -> (~((e0) = (e3))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H69 zenon_H6c zenon_H53.
% 9.92/10.09 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H4d | zenon_intro zenon_H4e ].
% 9.92/10.09 cut (((e3) = (e3)) = ((e0) = (e3))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H53.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H4d.
% 9.92/10.09 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 9.92/10.09 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H54].
% 9.92/10.09 congruence.
% 9.92/10.09 cut (((op (e1) (e0)) = (e0)) = ((e3) = (e0))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H54.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H69.
% 9.92/10.09 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H41].
% 9.92/10.09 cut (((op (e1) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H6d].
% 9.92/10.09 congruence.
% 9.92/10.09 exact (zenon_H6d zenon_H6c).
% 9.92/10.09 apply zenon_H41. apply refl_equal.
% 9.92/10.09 apply zenon_H4e. apply refl_equal.
% 9.92/10.09 apply zenon_H4e. apply refl_equal.
% 9.92/10.09 (* end of lemma zenon_L18_ *)
% 9.92/10.09 assert (zenon_L19_ : ((op (e1) (e2)) = (e2)) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H6e zenon_H3b zenon_H6f.
% 9.92/10.09 elim (classic ((op (e1) (e2)) = (op (e1) (e2)))); [ zenon_intro zenon_H70 | zenon_intro zenon_H71 ].
% 9.92/10.09 cut (((op (e1) (e2)) = (op (e1) (e2))) = ((op (e0) (e2)) = (op (e1) (e2)))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H6f.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H70.
% 9.92/10.09 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H71].
% 9.92/10.09 cut (((op (e1) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H72].
% 9.92/10.09 congruence.
% 9.92/10.09 cut (((op (e1) (e2)) = (e2)) = ((op (e1) (e2)) = (op (e0) (e2)))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H72.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H6e.
% 9.92/10.09 cut (((e2) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 9.92/10.09 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H71].
% 9.92/10.09 congruence.
% 9.92/10.09 apply zenon_H71. apply refl_equal.
% 9.92/10.09 apply zenon_H40. apply sym_equal. exact zenon_H3b.
% 9.92/10.09 apply zenon_H71. apply refl_equal.
% 9.92/10.09 apply zenon_H71. apply refl_equal.
% 9.92/10.09 (* end of lemma zenon_L19_ *)
% 9.92/10.09 assert (zenon_L20_ : ((op (e2) (e0)) = (e0)) -> ((op (e2) (e0)) = (e3)) -> (~((e0) = (e3))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H73 zenon_H74 zenon_H53.
% 9.92/10.09 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H4d | zenon_intro zenon_H4e ].
% 9.92/10.09 cut (((e3) = (e3)) = ((e0) = (e3))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H53.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H4d.
% 9.92/10.09 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 9.92/10.09 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H54].
% 9.92/10.09 congruence.
% 9.92/10.09 cut (((op (e2) (e0)) = (e0)) = ((e3) = (e0))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H54.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H73.
% 9.92/10.09 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H41].
% 9.92/10.09 cut (((op (e2) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H75].
% 9.92/10.09 congruence.
% 9.92/10.09 exact (zenon_H75 zenon_H74).
% 9.92/10.09 apply zenon_H41. apply refl_equal.
% 9.92/10.09 apply zenon_H4e. apply refl_equal.
% 9.92/10.09 apply zenon_H4e. apply refl_equal.
% 9.92/10.09 (* end of lemma zenon_L20_ *)
% 9.92/10.09 assert (zenon_L21_ : ((op (e2) (e0)) = (e1)) -> ((op (e2) (e0)) = (e3)) -> (~((e1) = (e3))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H76 zenon_H74 zenon_H4c.
% 9.92/10.09 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H4d | zenon_intro zenon_H4e ].
% 9.92/10.09 cut (((e3) = (e3)) = ((e1) = (e3))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H4c.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H4d.
% 9.92/10.09 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 9.92/10.09 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4f].
% 9.92/10.09 congruence.
% 9.92/10.09 cut (((op (e2) (e0)) = (e1)) = ((e3) = (e1))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H4f.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H76.
% 9.92/10.09 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 9.92/10.09 cut (((op (e2) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H75].
% 9.92/10.09 congruence.
% 9.92/10.09 exact (zenon_H75 zenon_H74).
% 9.92/10.09 apply zenon_H33. apply refl_equal.
% 9.92/10.09 apply zenon_H4e. apply refl_equal.
% 9.92/10.09 apply zenon_H4e. apply refl_equal.
% 9.92/10.09 (* end of lemma zenon_L21_ *)
% 9.92/10.09 assert (zenon_L22_ : (~((e0) = (e1))) -> ((op (e2) (e1)) = (e1)) -> ((op (e2) (e1)) = (e0)) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H5e zenon_H77 zenon_H78.
% 9.92/10.09 cut (((op (e2) (e1)) = (e1)) = ((e0) = (e1))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H5e.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H77.
% 9.92/10.09 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 9.92/10.09 cut (((op (e2) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H79].
% 9.92/10.09 congruence.
% 9.92/10.09 exact (zenon_H79 zenon_H78).
% 9.92/10.09 apply zenon_H33. apply refl_equal.
% 9.92/10.09 (* end of lemma zenon_L22_ *)
% 9.92/10.09 assert (zenon_L23_ : (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> ((op (e3) (e3)) = (e0)) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H7a zenon_H43 zenon_H7b.
% 9.92/10.09 cut (((op (e0) (e3)) = (e0)) = ((op (e0) (e3)) = (op (e3) (e3)))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H7a.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H43.
% 9.92/10.09 cut (((e0) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H7c].
% 9.92/10.09 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H5a].
% 9.92/10.09 congruence.
% 9.92/10.09 apply zenon_H5a. apply refl_equal.
% 9.92/10.09 apply zenon_H7c. apply sym_equal. exact zenon_H7b.
% 9.92/10.09 (* end of lemma zenon_L23_ *)
% 9.92/10.09 assert (zenon_L24_ : (((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 (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H7d zenon_H43 zenon_H7a zenon_H7e zenon_H7f zenon_H80.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H7b | zenon_intro zenon_H81 ].
% 9.92/10.09 apply (zenon_L23_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H83 | zenon_intro zenon_H82 ].
% 9.92/10.09 exact (zenon_H7e zenon_H83).
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H85 | zenon_intro zenon_H84 ].
% 9.92/10.09 exact (zenon_H7f zenon_H85).
% 9.92/10.09 exact (zenon_H80 zenon_H84).
% 9.92/10.09 (* end of lemma zenon_L24_ *)
% 9.92/10.09 assert (zenon_L25_ : (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e0)) -> ((op (e3) (e3)) = (e0)) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H86 zenon_H87 zenon_H7b.
% 9.92/10.09 cut (((op (e1) (e3)) = (e0)) = ((op (e1) (e3)) = (op (e3) (e3)))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H86.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H87.
% 9.92/10.09 cut (((e0) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H7c].
% 9.92/10.09 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H88].
% 9.92/10.09 congruence.
% 9.92/10.09 apply zenon_H88. apply refl_equal.
% 9.92/10.09 apply zenon_H7c. apply sym_equal. exact zenon_H7b.
% 9.92/10.09 (* end of lemma zenon_L25_ *)
% 9.92/10.09 assert (zenon_L26_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H7d zenon_H87 zenon_H86 zenon_H7e zenon_H7f zenon_H80.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H7b | zenon_intro zenon_H81 ].
% 9.92/10.09 apply (zenon_L25_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H83 | zenon_intro zenon_H82 ].
% 9.92/10.09 exact (zenon_H7e zenon_H83).
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H85 | zenon_intro zenon_H84 ].
% 9.92/10.09 exact (zenon_H7f zenon_H85).
% 9.92/10.09 exact (zenon_H80 zenon_H84).
% 9.92/10.09 (* end of lemma zenon_L26_ *)
% 9.92/10.09 assert (zenon_L27_ : ((op (e2) (e3)) = (e0)) -> ((op (e2) (e3)) = (e1)) -> (~((e0) = (e1))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H89 zenon_H8a zenon_H5e.
% 9.92/10.09 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H5f | zenon_intro zenon_H33 ].
% 9.92/10.09 cut (((e1) = (e1)) = ((e0) = (e1))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H5e.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H5f.
% 9.92/10.09 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 9.92/10.09 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 9.92/10.09 congruence.
% 9.92/10.09 cut (((op (e2) (e3)) = (e0)) = ((e1) = (e0))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H60.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H89.
% 9.92/10.09 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H41].
% 9.92/10.09 cut (((op (e2) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H8b].
% 9.92/10.09 congruence.
% 9.92/10.09 exact (zenon_H8b zenon_H8a).
% 9.92/10.09 apply zenon_H41. apply refl_equal.
% 9.92/10.09 apply zenon_H33. apply refl_equal.
% 9.92/10.09 apply zenon_H33. apply refl_equal.
% 9.92/10.09 (* end of lemma zenon_L27_ *)
% 9.92/10.09 assert (zenon_L28_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (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))))) -> (~((e0) = (e1))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e3) (e3)) = (e0))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H8c zenon_H7a zenon_H80 zenon_H7f zenon_H7e zenon_H86 zenon_H7d zenon_H5e zenon_H8a zenon_H8d.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H43 | zenon_intro zenon_H8e ].
% 9.92/10.09 apply (zenon_L24_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H87 | zenon_intro zenon_H8f ].
% 9.92/10.09 apply (zenon_L26_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H7b ].
% 9.92/10.09 apply (zenon_L27_); trivial.
% 9.92/10.09 exact (zenon_H8d zenon_H7b).
% 9.92/10.09 (* end of lemma zenon_L28_ *)
% 9.92/10.09 assert (zenon_L29_ : (((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)) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (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))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H90 zenon_H4c zenon_H74 zenon_H78 zenon_H91 zenon_H8c zenon_H7a zenon_H80 zenon_H7f zenon_H7e zenon_H86 zenon_H7d zenon_H5e zenon_H8d.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H76 | zenon_intro zenon_H92 ].
% 9.92/10.09 apply (zenon_L21_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H77 | zenon_intro zenon_H93 ].
% 9.92/10.09 apply (zenon_L22_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H94 | zenon_intro zenon_H8a ].
% 9.92/10.09 exact (zenon_H91 zenon_H94).
% 9.92/10.09 apply (zenon_L28_); trivial.
% 9.92/10.09 (* end of lemma zenon_L29_ *)
% 9.92/10.09 assert (zenon_L30_ : ((op (e0) (e1)) = (e0)) -> ((op (e0) (e1)) = (e3)) -> (~((e0) = (e3))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H68 zenon_H4b zenon_H53.
% 9.92/10.09 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H4d | zenon_intro zenon_H4e ].
% 9.92/10.09 cut (((e3) = (e3)) = ((e0) = (e3))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H53.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H4d.
% 9.92/10.09 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 9.92/10.09 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H54].
% 9.92/10.09 congruence.
% 9.92/10.09 cut (((op (e0) (e1)) = (e0)) = ((e3) = (e0))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H54.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H68.
% 9.92/10.09 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H41].
% 9.92/10.09 cut (((op (e0) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H50].
% 9.92/10.09 congruence.
% 9.92/10.09 exact (zenon_H50 zenon_H4b).
% 9.92/10.09 apply zenon_H41. apply refl_equal.
% 9.92/10.09 apply zenon_H4e. apply refl_equal.
% 9.92/10.09 apply zenon_H4e. apply refl_equal.
% 9.92/10.09 (* end of lemma zenon_L30_ *)
% 9.92/10.09 assert (zenon_L31_ : (~((e2) = (e2))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H37.
% 9.92/10.09 apply zenon_H37. apply refl_equal.
% 9.92/10.09 (* end of lemma zenon_L31_ *)
% 9.92/10.09 assert (zenon_L32_ : ((op (e0) (e2)) = (e2)) -> ((op (e0) (e2)) = (e3)) -> (~((e2) = (e3))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H3b zenon_H52 zenon_H95.
% 9.92/10.09 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H4d | zenon_intro zenon_H4e ].
% 9.92/10.09 cut (((e3) = (e3)) = ((e2) = (e3))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H95.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H4d.
% 9.92/10.09 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 9.92/10.09 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H96].
% 9.92/10.09 congruence.
% 9.92/10.09 cut (((op (e0) (e2)) = (e2)) = ((e3) = (e2))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H96.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H3b.
% 9.92/10.09 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 9.92/10.09 cut (((op (e0) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H55].
% 9.92/10.09 congruence.
% 9.92/10.09 exact (zenon_H55 zenon_H52).
% 9.92/10.09 apply zenon_H37. apply refl_equal.
% 9.92/10.09 apply zenon_H4e. apply refl_equal.
% 9.92/10.09 apply zenon_H4e. apply refl_equal.
% 9.92/10.09 (* end of lemma zenon_L32_ *)
% 9.92/10.09 assert (zenon_L33_ : (((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)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H97 zenon_H28 zenon_H53 zenon_H68 zenon_H95 zenon_H3b zenon_H62 zenon_H4c.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H31 | zenon_intro zenon_H98 ].
% 9.92/10.09 exact (zenon_H28 zenon_H31).
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ].
% 9.92/10.09 apply (zenon_L30_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H52 | zenon_intro zenon_H57 ].
% 9.92/10.09 apply (zenon_L32_); trivial.
% 9.92/10.09 apply (zenon_L13_); trivial.
% 9.92/10.09 (* end of lemma zenon_L33_ *)
% 9.92/10.09 assert (zenon_L34_ : ((op (e1) (e3)) = (e1)) -> ((op (e1) (e3)) = (e2)) -> (~((e1) = (e2))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H9a zenon_H9b zenon_H35.
% 9.92/10.09 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ].
% 9.92/10.09 cut (((e2) = (e2)) = ((e1) = (e2))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H35.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H36.
% 9.92/10.09 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 9.92/10.09 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 9.92/10.09 congruence.
% 9.92/10.09 cut (((op (e1) (e3)) = (e1)) = ((e2) = (e1))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H38.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H9a.
% 9.92/10.09 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 9.92/10.09 cut (((op (e1) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H9c].
% 9.92/10.09 congruence.
% 9.92/10.09 exact (zenon_H9c zenon_H9b).
% 9.92/10.09 apply zenon_H33. apply refl_equal.
% 9.92/10.09 apply zenon_H37. apply refl_equal.
% 9.92/10.09 apply zenon_H37. apply refl_equal.
% 9.92/10.09 (* end of lemma zenon_L34_ *)
% 9.92/10.09 assert (zenon_L35_ : (~((e3) = (e3))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H4e.
% 9.92/10.09 apply zenon_H4e. apply refl_equal.
% 9.92/10.09 (* end of lemma zenon_L35_ *)
% 9.92/10.09 assert (zenon_L36_ : (~((op (op (e3) (e3)) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e1)) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H9d zenon_H83.
% 9.92/10.09 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 9.92/10.09 cut (((op (e3) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H7e].
% 9.92/10.09 congruence.
% 9.92/10.09 exact (zenon_H7e zenon_H83).
% 9.92/10.09 apply zenon_H4e. apply refl_equal.
% 9.92/10.09 (* end of lemma zenon_L36_ *)
% 9.92/10.09 assert (zenon_L37_ : ((op (e2) (e3)) = (e0)) -> ((op (e1) (e3)) = (e2)) -> ((op (e3) (e3)) = (e1)) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H89 zenon_H9b zenon_H83.
% 9.92/10.09 apply (zenon_notand_s _ _ ax12); [ zenon_intro zenon_H9f | zenon_intro zenon_H9e ].
% 9.92/10.09 apply zenon_H9f. apply sym_equal. exact zenon_H83.
% 9.92/10.09 apply (zenon_notand_s _ _ zenon_H9e); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha0 ].
% 9.92/10.09 elim (classic ((op (op (op (e3) (e3)) (e3)) (e3)) = (op (op (op (e3) (e3)) (e3)) (e3)))); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Ha3 ].
% 9.92/10.09 cut (((op (op (op (e3) (e3)) (e3)) (e3)) = (op (op (op (e3) (e3)) (e3)) (e3))) = ((e0) = (op (op (op (e3) (e3)) (e3)) (e3)))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_Ha1.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_Ha2.
% 9.92/10.09 cut (((op (op (op (e3) (e3)) (e3)) (e3)) = (op (op (op (e3) (e3)) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Ha3].
% 9.92/10.09 cut (((op (op (op (e3) (e3)) (e3)) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Ha4].
% 9.92/10.09 congruence.
% 9.92/10.09 cut (((op (e2) (e3)) = (e0)) = ((op (op (op (e3) (e3)) (e3)) (e3)) = (e0))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_Ha4.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H89.
% 9.92/10.09 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H41].
% 9.92/10.09 cut (((op (e2) (e3)) = (op (op (op (e3) (e3)) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Ha5].
% 9.92/10.09 congruence.
% 9.92/10.09 elim (classic ((op (op (op (e3) (e3)) (e3)) (e3)) = (op (op (op (e3) (e3)) (e3)) (e3)))); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Ha3 ].
% 9.92/10.09 cut (((op (op (op (e3) (e3)) (e3)) (e3)) = (op (op (op (e3) (e3)) (e3)) (e3))) = ((op (e2) (e3)) = (op (op (op (e3) (e3)) (e3)) (e3)))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_Ha5.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_Ha2.
% 9.92/10.09 cut (((op (op (op (e3) (e3)) (e3)) (e3)) = (op (op (op (e3) (e3)) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Ha3].
% 9.92/10.09 cut (((op (op (op (e3) (e3)) (e3)) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Ha6].
% 9.92/10.09 congruence.
% 9.92/10.09 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 9.92/10.09 cut (((op (op (e3) (e3)) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Ha7].
% 9.92/10.09 congruence.
% 9.92/10.09 cut (((op (e1) (e3)) = (e2)) = ((op (op (e3) (e3)) (e3)) = (e2))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_Ha7.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H9b.
% 9.92/10.09 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 9.92/10.09 cut (((op (e1) (e3)) = (op (op (e3) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Ha8].
% 9.92/10.09 congruence.
% 9.92/10.09 elim (classic ((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Haa ].
% 9.92/10.09 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3))) = ((op (e1) (e3)) = (op (op (e3) (e3)) (e3)))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_Ha8.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_Ha9.
% 9.92/10.09 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Haa].
% 9.92/10.09 cut (((op (op (e3) (e3)) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H9d].
% 9.92/10.09 congruence.
% 9.92/10.09 apply (zenon_L36_); trivial.
% 9.92/10.09 apply zenon_Haa. apply refl_equal.
% 9.92/10.09 apply zenon_Haa. apply refl_equal.
% 9.92/10.09 apply zenon_H37. apply refl_equal.
% 9.92/10.09 apply zenon_H4e. apply refl_equal.
% 9.92/10.09 apply zenon_Ha3. apply refl_equal.
% 9.92/10.09 apply zenon_Ha3. apply refl_equal.
% 9.92/10.09 apply zenon_H41. apply refl_equal.
% 9.92/10.09 apply zenon_Ha3. apply refl_equal.
% 9.92/10.09 apply zenon_Ha3. apply refl_equal.
% 9.92/10.09 elim (classic ((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Haa ].
% 9.92/10.09 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3))) = ((e2) = (op (op (e3) (e3)) (e3)))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_Ha0.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_Ha9.
% 9.92/10.09 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Haa].
% 9.92/10.09 cut (((op (op (e3) (e3)) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Ha7].
% 9.92/10.09 congruence.
% 9.92/10.09 cut (((op (e1) (e3)) = (e2)) = ((op (op (e3) (e3)) (e3)) = (e2))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_Ha7.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H9b.
% 9.92/10.09 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 9.92/10.09 cut (((op (e1) (e3)) = (op (op (e3) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Ha8].
% 9.92/10.09 congruence.
% 9.92/10.09 elim (classic ((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Haa ].
% 9.92/10.09 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3))) = ((op (e1) (e3)) = (op (op (e3) (e3)) (e3)))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_Ha8.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_Ha9.
% 9.92/10.09 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Haa].
% 9.92/10.09 cut (((op (op (e3) (e3)) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H9d].
% 9.92/10.09 congruence.
% 9.92/10.09 apply (zenon_L36_); trivial.
% 9.92/10.09 apply zenon_Haa. apply refl_equal.
% 9.92/10.09 apply zenon_Haa. apply refl_equal.
% 9.92/10.09 apply zenon_H37. apply refl_equal.
% 9.92/10.09 apply zenon_Haa. apply refl_equal.
% 9.92/10.09 apply zenon_Haa. apply refl_equal.
% 9.92/10.09 (* end of lemma zenon_L37_ *)
% 9.92/10.09 assert (zenon_L38_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (~((e2) = (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))))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> ((op (e2) (e3)) = (e0)) -> ((op (e1) (e3)) = (e2)) -> False).
% 9.92/10.09 do 0 intro. intros zenon_Hab zenon_H4c zenon_H3b zenon_H95 zenon_H68 zenon_H53 zenon_H28 zenon_H97 zenon_H35 zenon_H5e zenon_H89 zenon_H9b.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H62 | zenon_intro zenon_Hac ].
% 9.92/10.09 apply (zenon_L33_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H9a | zenon_intro zenon_Had ].
% 9.92/10.09 apply (zenon_L34_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H8a | zenon_intro zenon_H83 ].
% 9.92/10.09 apply (zenon_L27_); trivial.
% 9.92/10.09 apply (zenon_L37_); trivial.
% 9.92/10.09 (* end of lemma zenon_L38_ *)
% 9.92/10.09 assert (zenon_L39_ : (((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 (e0) (e2)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (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 (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (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) (e2)) = (e1))) -> ((op (e2) (e0)) = (e3)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (~((e2) = (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))))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_Hae zenon_H44 zenon_H69 zenon_Haf zenon_H6f zenon_Hb0 zenon_H8d zenon_H7d zenon_H86 zenon_H7e zenon_H7f zenon_H80 zenon_H7a zenon_H8c zenon_H91 zenon_H74 zenon_H90 zenon_Hb1 zenon_Hab zenon_H4c zenon_H3b zenon_H95 zenon_H68 zenon_H53 zenon_H28 zenon_H97 zenon_H35 zenon_H5e.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6a | zenon_intro zenon_Hb2 ].
% 9.92/10.09 apply (zenon_L17_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb3 ].
% 9.92/10.09 exact (zenon_Haf zenon_Hb4).
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H6e | zenon_intro zenon_H9b ].
% 9.92/10.09 apply (zenon_L19_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hb5 ].
% 9.92/10.09 apply (zenon_L20_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H78 | zenon_intro zenon_Hb6 ].
% 9.92/10.09 apply (zenon_L29_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H89 ].
% 9.92/10.09 exact (zenon_Hb1 zenon_Hb7).
% 9.92/10.09 apply (zenon_L38_); trivial.
% 9.92/10.09 (* end of lemma zenon_L39_ *)
% 9.92/10.09 assert (zenon_L40_ : ((op (e2) (e1)) = (e2)) -> ((op (e2) (e1)) = (e3)) -> (~((e2) = (e3))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_Hb8 zenon_Hb9 zenon_H95.
% 9.92/10.09 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H4d | zenon_intro zenon_H4e ].
% 9.92/10.09 cut (((e3) = (e3)) = ((e2) = (e3))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H95.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H4d.
% 9.92/10.09 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 9.92/10.09 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H96].
% 9.92/10.09 congruence.
% 9.92/10.09 cut (((op (e2) (e1)) = (e2)) = ((e3) = (e2))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H96.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_Hb8.
% 9.92/10.09 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 9.92/10.09 cut (((op (e2) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hba].
% 9.92/10.09 congruence.
% 9.92/10.09 exact (zenon_Hba zenon_Hb9).
% 9.92/10.09 apply zenon_H37. apply refl_equal.
% 9.92/10.09 apply zenon_H4e. apply refl_equal.
% 9.92/10.09 apply zenon_H4e. apply refl_equal.
% 9.92/10.09 (* end of lemma zenon_L40_ *)
% 9.92/10.09 assert (zenon_L41_ : (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e3) (e1)) = (e3)) -> False).
% 9.92/10.09 do 0 intro. intros zenon_Hbb zenon_Hbc zenon_Hbd.
% 9.92/10.09 cut (((op (e3) (e0)) = (e3)) = ((op (e3) (e0)) = (op (e3) (e1)))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_Hbb.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_Hbc.
% 9.92/10.09 cut (((e3) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hbe].
% 9.92/10.09 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hbf].
% 9.92/10.09 congruence.
% 9.92/10.09 apply zenon_Hbf. apply refl_equal.
% 9.92/10.09 apply zenon_Hbe. apply sym_equal. exact zenon_Hbd.
% 9.92/10.09 (* end of lemma zenon_L41_ *)
% 9.92/10.09 assert (zenon_L42_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e3)) -> False).
% 9.92/10.09 do 0 intro. intros zenon_Hc0 zenon_H53 zenon_H68 zenon_Hc1 zenon_H95 zenon_Hb8 zenon_Hbb zenon_Hbc.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H4b | zenon_intro zenon_Hc2 ].
% 9.92/10.09 apply (zenon_L30_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc3 ].
% 9.92/10.09 exact (zenon_Hc1 zenon_Hc4).
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hbd ].
% 9.92/10.09 apply (zenon_L40_); trivial.
% 9.92/10.09 apply (zenon_L41_); trivial.
% 9.92/10.09 (* end of lemma zenon_L42_ *)
% 9.92/10.09 assert (zenon_L43_ : (((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).
% 9.92/10.09 do 0 intro. intros zenon_Hc5 zenon_H73 zenon_Hc6 zenon_H91 zenon_Hc7 zenon_Hc8.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ].
% 9.92/10.09 cut (((op (e2) (e0)) = (e0)) = ((op (e2) (e0)) = (op (e2) (e2)))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_Hc6.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H73.
% 9.92/10.09 cut (((e0) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hca].
% 9.92/10.09 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hcb].
% 9.92/10.09 congruence.
% 9.92/10.09 apply zenon_Hcb. apply refl_equal.
% 9.92/10.09 apply zenon_Hca. apply sym_equal. exact zenon_Hb7.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H94 | zenon_intro zenon_Hcc ].
% 9.92/10.09 exact (zenon_H91 zenon_H94).
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H3a | zenon_intro zenon_Hcd ].
% 9.92/10.09 exact (zenon_Hc7 zenon_H3a).
% 9.92/10.09 exact (zenon_Hc8 zenon_Hcd).
% 9.92/10.09 (* end of lemma zenon_L43_ *)
% 9.92/10.09 assert (zenon_L44_ : (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e2) (e3)) = (e2)) -> False).
% 9.92/10.09 do 0 intro. intros zenon_Hce zenon_Hcf zenon_Hd0.
% 9.92/10.09 cut (((op (e2) (e0)) = (e2)) = ((op (e2) (e0)) = (op (e2) (e3)))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_Hce.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_Hcf.
% 9.92/10.09 cut (((e2) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hd1].
% 9.92/10.09 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hcb].
% 9.92/10.09 congruence.
% 9.92/10.09 apply zenon_Hcb. apply refl_equal.
% 9.92/10.09 apply zenon_Hd1. apply sym_equal. exact zenon_Hd0.
% 9.92/10.09 (* end of lemma zenon_L44_ *)
% 9.92/10.09 assert (zenon_L45_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_Hd2 zenon_Hcf zenon_Hce zenon_Hc6 zenon_H73 zenon_H91 zenon_Hc7 zenon_Hc5.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 9.92/10.09 apply (zenon_L43_); trivial.
% 9.92/10.09 apply (zenon_L44_); trivial.
% 9.92/10.09 (* end of lemma zenon_L45_ *)
% 9.92/10.09 assert (zenon_L46_ : (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e2) (e1)) = (e0)) -> False).
% 9.92/10.09 do 0 intro. intros zenon_Hd3 zenon_H68 zenon_H78.
% 9.92/10.09 cut (((op (e0) (e1)) = (e0)) = ((op (e0) (e1)) = (op (e2) (e1)))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_Hd3.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H68.
% 9.92/10.09 cut (((e0) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hd4].
% 9.92/10.09 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H2e].
% 9.92/10.09 congruence.
% 9.92/10.09 apply zenon_H2e. apply refl_equal.
% 9.92/10.09 apply zenon_Hd4. apply sym_equal. exact zenon_H78.
% 9.92/10.09 (* end of lemma zenon_L46_ *)
% 9.92/10.09 assert (zenon_L47_ : (~((e1) = (e2))) -> ((op (e2) (e0)) = (e2)) -> ((op (e2) (e0)) = (e1)) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H35 zenon_Hcf zenon_H76.
% 9.92/10.09 cut (((op (e2) (e0)) = (e2)) = ((e1) = (e2))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H35.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_Hcf.
% 9.92/10.09 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 9.92/10.09 cut (((op (e2) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hd5].
% 9.92/10.09 congruence.
% 9.92/10.09 exact (zenon_Hd5 zenon_H76).
% 9.92/10.09 apply zenon_H37. apply refl_equal.
% 9.92/10.09 (* end of lemma zenon_L47_ *)
% 9.92/10.09 assert (zenon_L48_ : ((op (e2) (e1)) = (e1)) -> ((op (e2) (e1)) = (e3)) -> (~((e1) = (e3))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H77 zenon_Hb9 zenon_H4c.
% 9.92/10.09 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H4d | zenon_intro zenon_H4e ].
% 9.92/10.09 cut (((e3) = (e3)) = ((e1) = (e3))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H4c.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H4d.
% 9.92/10.09 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 9.92/10.09 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4f].
% 9.92/10.09 congruence.
% 9.92/10.09 cut (((op (e2) (e1)) = (e1)) = ((e3) = (e1))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H4f.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H77.
% 9.92/10.09 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 9.92/10.09 cut (((op (e2) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hba].
% 9.92/10.09 congruence.
% 9.92/10.09 exact (zenon_Hba zenon_Hb9).
% 9.92/10.09 apply zenon_H33. apply refl_equal.
% 9.92/10.09 apply zenon_H4e. apply refl_equal.
% 9.92/10.09 apply zenon_H4e. apply refl_equal.
% 9.92/10.09 (* end of lemma zenon_L48_ *)
% 9.92/10.09 assert (zenon_L49_ : (((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)) -> (~((op (e2) (e2)) = (e1))) -> ((op (e2) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H90 zenon_Hcf zenon_H35 zenon_H4c zenon_Hb9 zenon_H91 zenon_H89 zenon_H5e.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H76 | zenon_intro zenon_H92 ].
% 9.92/10.09 apply (zenon_L47_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H77 | zenon_intro zenon_H93 ].
% 9.92/10.09 apply (zenon_L48_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H94 | zenon_intro zenon_H8a ].
% 9.92/10.09 exact (zenon_H91 zenon_H94).
% 9.92/10.09 apply (zenon_L27_); trivial.
% 9.92/10.09 (* end of lemma zenon_L49_ *)
% 9.92/10.09 assert (zenon_L50_ : (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> ((op (e3) (e1)) = (e2)) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H95 zenon_Hbd zenon_Hd6.
% 9.92/10.09 cut (((op (e3) (e1)) = (e3)) = ((e2) = (e3))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H95.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_Hbd.
% 9.92/10.09 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 9.92/10.09 cut (((op (e3) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hd7].
% 9.92/10.09 congruence.
% 9.92/10.09 exact (zenon_Hd7 zenon_Hd6).
% 9.92/10.09 apply zenon_H4e. apply refl_equal.
% 9.92/10.09 (* end of lemma zenon_L50_ *)
% 9.92/10.09 assert (zenon_L51_ : (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> ((op (e3) (e0)) = (e2)) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H95 zenon_Hbc zenon_Hd8.
% 9.92/10.09 cut (((op (e3) (e0)) = (e3)) = ((e2) = (e3))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H95.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_Hbc.
% 9.92/10.09 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 9.92/10.09 cut (((op (e3) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hd9].
% 9.92/10.09 congruence.
% 9.92/10.09 exact (zenon_Hd9 zenon_Hd8).
% 9.92/10.09 apply zenon_H4e. apply refl_equal.
% 9.92/10.09 (* end of lemma zenon_L51_ *)
% 9.92/10.09 assert (zenon_L52_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e1))) -> (~((e1) = (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)) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (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 (e3) (e3)) = (e0))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e2)) -> False).
% 9.92/10.09 do 0 intro. intros zenon_Hda zenon_H5e zenon_H35 zenon_H97 zenon_H28 zenon_H53 zenon_H68 zenon_H3b zenon_H4c zenon_Hab zenon_Hb1 zenon_H90 zenon_H91 zenon_H8c zenon_H7a zenon_H80 zenon_H7f zenon_H7e zenon_H86 zenon_H7d zenon_H8d zenon_Hb0 zenon_H6f zenon_Haf zenon_H69 zenon_H44 zenon_Hae zenon_H95 zenon_Hd8.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdb ].
% 9.92/10.09 exact (zenon_H28 zenon_H31).
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H6c | zenon_intro zenon_Hdc ].
% 9.92/10.09 apply (zenon_L18_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H74 | zenon_intro zenon_Hbc ].
% 9.92/10.09 apply (zenon_L39_); trivial.
% 9.92/10.09 apply (zenon_L51_); trivial.
% 9.92/10.09 (* end of lemma zenon_L52_ *)
% 9.92/10.09 assert (zenon_L53_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (((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) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (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 (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e1))) -> (~((e1) = (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)) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (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 (e3) (e3)) = (e0))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e2) = (e3))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_Hdd zenon_H27 zenon_Hc5 zenon_Hc7 zenon_Hc6 zenon_Hce zenon_Hd2 zenon_Hd3 zenon_Hc1 zenon_Hc0 zenon_Hbb zenon_Hde zenon_Hda zenon_H5e zenon_H35 zenon_H97 zenon_H28 zenon_H53 zenon_H68 zenon_H3b zenon_H4c zenon_Hab zenon_Hb1 zenon_H90 zenon_H91 zenon_H8c zenon_H7a zenon_H80 zenon_H7f zenon_H7e zenon_H86 zenon_H7d zenon_H8d zenon_Hb0 zenon_H6f zenon_Haf zenon_H69 zenon_H44 zenon_Hae zenon_H95.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hdf ].
% 9.92/10.09 exact (zenon_H27 zenon_H32).
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H6a | zenon_intro zenon_He0 ].
% 9.92/10.09 apply (zenon_L17_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd8 ].
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdb ].
% 9.92/10.09 exact (zenon_H28 zenon_H31).
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H6c | zenon_intro zenon_Hdc ].
% 9.92/10.09 apply (zenon_L18_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H74 | zenon_intro zenon_Hbc ].
% 9.92/10.09 apply (zenon_L39_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H34 | zenon_intro zenon_He1 ].
% 9.92/10.09 apply (zenon_L16_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_Hb4 | zenon_intro zenon_He2 ].
% 9.92/10.09 exact (zenon_Haf zenon_Hb4).
% 9.92/10.09 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ].
% 9.92/10.09 apply (zenon_L42_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H4b | zenon_intro zenon_Hc2 ].
% 9.92/10.09 apply (zenon_L30_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc3 ].
% 9.92/10.09 exact (zenon_Hc1 zenon_Hc4).
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hbd ].
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hb5 ].
% 9.92/10.09 apply (zenon_L45_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H78 | zenon_intro zenon_Hb6 ].
% 9.92/10.09 apply (zenon_L46_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H89 ].
% 9.92/10.09 exact (zenon_Hb1 zenon_Hb7).
% 9.92/10.09 apply (zenon_L49_); trivial.
% 9.92/10.09 apply (zenon_L50_); trivial.
% 9.92/10.09 apply (zenon_L52_); trivial.
% 9.92/10.09 (* end of lemma zenon_L53_ *)
% 9.92/10.09 assert (zenon_L54_ : ((op (e0) (e3)) = (e2)) -> ((op (e0) (e3)) = (e3)) -> (~((e2) = (e3))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H47 zenon_H57 zenon_H95.
% 9.92/10.09 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H4d | zenon_intro zenon_H4e ].
% 9.92/10.09 cut (((e3) = (e3)) = ((e2) = (e3))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H95.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H4d.
% 9.92/10.09 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 9.92/10.09 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H96].
% 9.92/10.09 congruence.
% 9.92/10.09 cut (((op (e0) (e3)) = (e2)) = ((e3) = (e2))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H96.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H47.
% 9.92/10.09 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 9.92/10.09 cut (((op (e0) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H63].
% 9.92/10.09 congruence.
% 9.92/10.09 exact (zenon_H63 zenon_H57).
% 9.92/10.09 apply zenon_H37. apply refl_equal.
% 9.92/10.09 apply zenon_H4e. apply refl_equal.
% 9.92/10.09 apply zenon_H4e. apply refl_equal.
% 9.92/10.09 (* end of lemma zenon_L54_ *)
% 9.92/10.09 assert (zenon_L55_ : (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e3)) = (e0)) -> False).
% 9.92/10.09 do 0 intro. intros zenon_He3 zenon_He4 zenon_H7b.
% 9.92/10.09 cut (((op (e3) (e0)) = (e0)) = ((op (e3) (e0)) = (op (e3) (e3)))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_He3.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_He4.
% 9.92/10.09 cut (((e0) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H7c].
% 9.92/10.09 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hbf].
% 9.92/10.09 congruence.
% 9.92/10.09 apply zenon_Hbf. apply refl_equal.
% 9.92/10.09 apply zenon_H7c. apply sym_equal. exact zenon_H7b.
% 9.92/10.09 (* end of lemma zenon_L55_ *)
% 9.92/10.09 assert (zenon_L56_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H7d zenon_He4 zenon_He3 zenon_H7e zenon_H7f zenon_H80.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H7b | zenon_intro zenon_H81 ].
% 9.92/10.09 apply (zenon_L55_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H83 | zenon_intro zenon_H82 ].
% 9.92/10.09 exact (zenon_H7e zenon_H83).
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H85 | zenon_intro zenon_H84 ].
% 9.92/10.09 exact (zenon_H7f zenon_H85).
% 9.92/10.09 exact (zenon_H80 zenon_H84).
% 9.92/10.09 (* end of lemma zenon_L56_ *)
% 9.92/10.09 assert (zenon_L57_ : (~((e0) = (e2))) -> ((op (e2) (e1)) = (e2)) -> ((op (e2) (e1)) = (e0)) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H44 zenon_Hb8 zenon_H78.
% 9.92/10.09 cut (((op (e2) (e1)) = (e2)) = ((e0) = (e2))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H44.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_Hb8.
% 9.92/10.09 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 9.92/10.09 cut (((op (e2) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H79].
% 9.92/10.09 congruence.
% 9.92/10.09 exact (zenon_H79 zenon_H78).
% 9.92/10.09 apply zenon_H37. apply refl_equal.
% 9.92/10.09 (* end of lemma zenon_L57_ *)
% 9.92/10.09 assert (zenon_L58_ : (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e1)) = (e0)) -> False).
% 9.92/10.09 do 0 intro. intros zenon_Hbb zenon_He4 zenon_He5.
% 9.92/10.09 cut (((op (e3) (e0)) = (e0)) = ((op (e3) (e0)) = (op (e3) (e1)))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_Hbb.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_He4.
% 9.92/10.09 cut (((e0) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_He6].
% 9.92/10.09 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hbf].
% 9.92/10.09 congruence.
% 9.92/10.09 apply zenon_Hbf. apply refl_equal.
% 9.92/10.09 apply zenon_He6. apply sym_equal. exact zenon_He5.
% 9.92/10.09 (* end of lemma zenon_L58_ *)
% 9.92/10.09 assert (zenon_L59_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (e0))) -> ((op (e2) (e1)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> False).
% 9.92/10.09 do 0 intro. intros zenon_He7 zenon_H53 zenon_H4b zenon_He8 zenon_Hb8 zenon_H44 zenon_Hbb zenon_He4.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H68 | zenon_intro zenon_He9 ].
% 9.92/10.09 apply (zenon_L30_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Heb | zenon_intro zenon_Hea ].
% 9.92/10.09 exact (zenon_He8 zenon_Heb).
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H78 | zenon_intro zenon_He5 ].
% 9.92/10.09 apply (zenon_L57_); trivial.
% 9.92/10.09 apply (zenon_L58_); trivial.
% 9.92/10.09 (* end of lemma zenon_L59_ *)
% 9.92/10.09 assert (zenon_L60_ : (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e3)) -> ((op (e3) (e2)) = (e3)) -> False).
% 9.92/10.09 do 0 intro. intros zenon_Hec zenon_Hbd zenon_Hed.
% 9.92/10.09 cut (((op (e3) (e1)) = (e3)) = ((op (e3) (e1)) = (op (e3) (e2)))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_Hec.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_Hbd.
% 9.92/10.09 cut (((e3) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hee].
% 9.92/10.09 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hef].
% 9.92/10.09 congruence.
% 9.92/10.09 apply zenon_Hef. apply refl_equal.
% 9.92/10.09 apply zenon_Hee. apply sym_equal. exact zenon_Hed.
% 9.92/10.09 (* end of lemma zenon_L60_ *)
% 9.92/10.09 assert (zenon_L61_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (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))))) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> False).
% 9.92/10.09 do 0 intro. intros zenon_Hc0 zenon_He4 zenon_Hbb zenon_H44 zenon_He8 zenon_H53 zenon_He7 zenon_Hc1 zenon_H95 zenon_Hb8 zenon_Hec zenon_Hed.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H4b | zenon_intro zenon_Hc2 ].
% 9.92/10.09 apply (zenon_L59_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc3 ].
% 9.92/10.09 exact (zenon_Hc1 zenon_Hc4).
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hbd ].
% 9.92/10.09 apply (zenon_L40_); trivial.
% 9.92/10.09 apply (zenon_L60_); trivial.
% 9.92/10.09 (* end of lemma zenon_L61_ *)
% 9.92/10.09 assert (zenon_L62_ : ((op (e3) (e0)) = (e0)) -> ((op (e3) (e0)) = (e1)) -> (~((e0) = (e1))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_He4 zenon_Hf0 zenon_H5e.
% 9.92/10.09 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H5f | zenon_intro zenon_H33 ].
% 9.92/10.09 cut (((e1) = (e1)) = ((e0) = (e1))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H5e.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H5f.
% 9.92/10.09 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 9.92/10.09 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 9.92/10.09 congruence.
% 9.92/10.09 cut (((op (e3) (e0)) = (e0)) = ((e1) = (e0))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H60.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_He4.
% 9.92/10.09 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H41].
% 9.92/10.09 cut (((op (e3) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hf1].
% 9.92/10.09 congruence.
% 9.92/10.09 exact (zenon_Hf1 zenon_Hf0).
% 9.92/10.09 apply zenon_H41. apply refl_equal.
% 9.92/10.09 apply zenon_H33. apply refl_equal.
% 9.92/10.09 apply zenon_H33. apply refl_equal.
% 9.92/10.09 (* end of lemma zenon_L62_ *)
% 9.92/10.09 assert (zenon_L63_ : ((op (e3) (e1)) = (e1)) -> ((op (e3) (e1)) = (e2)) -> (~((e1) = (e2))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_Hf2 zenon_Hd6 zenon_H35.
% 9.92/10.09 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ].
% 9.92/10.09 cut (((e2) = (e2)) = ((e1) = (e2))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H35.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H36.
% 9.92/10.09 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 9.92/10.09 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 9.92/10.09 congruence.
% 9.92/10.09 cut (((op (e3) (e1)) = (e1)) = ((e2) = (e1))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H38.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_Hf2.
% 9.92/10.09 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 9.92/10.09 cut (((op (e3) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hd7].
% 9.92/10.09 congruence.
% 9.92/10.09 exact (zenon_Hd7 zenon_Hd6).
% 9.92/10.09 apply zenon_H33. apply refl_equal.
% 9.92/10.09 apply zenon_H37. apply refl_equal.
% 9.92/10.09 apply zenon_H37. apply refl_equal.
% 9.92/10.09 (* end of lemma zenon_L63_ *)
% 9.92/10.09 assert (zenon_L64_ : (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (e2)) = (e1)) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H4c zenon_Hed zenon_Hf3.
% 9.92/10.09 cut (((op (e3) (e2)) = (e3)) = ((e1) = (e3))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H4c.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_Hed.
% 9.92/10.09 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 9.92/10.09 cut (((op (e3) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hf4].
% 9.92/10.09 congruence.
% 9.92/10.09 exact (zenon_Hf4 zenon_Hf3).
% 9.92/10.09 apply zenon_H4e. apply refl_equal.
% 9.92/10.09 (* end of lemma zenon_L64_ *)
% 9.92/10.09 assert (zenon_L65_ : (((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)) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_Hf5 zenon_H5e zenon_He4 zenon_H35 zenon_Hd6 zenon_Hed zenon_H4c zenon_H7e.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hf6 ].
% 9.92/10.09 apply (zenon_L62_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hf7 ].
% 9.92/10.09 apply (zenon_L63_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H83 ].
% 9.92/10.09 apply (zenon_L64_); trivial.
% 9.92/10.09 exact (zenon_H7e zenon_H83).
% 9.92/10.09 (* end of lemma zenon_L65_ *)
% 9.92/10.09 assert (zenon_L66_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (((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 (e3) (e0)) = (op (e3) (e1)))) -> (((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)) -> (~((e1) = (e2))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_Hde zenon_H68 zenon_Haf zenon_Hec zenon_H95 zenon_Hc1 zenon_He7 zenon_H53 zenon_He8 zenon_H44 zenon_Hbb zenon_Hc0 zenon_Hf5 zenon_H5e zenon_He4 zenon_H35 zenon_Hed zenon_H4c zenon_H7e.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H34 | zenon_intro zenon_He1 ].
% 9.92/10.09 apply (zenon_L16_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_Hb4 | zenon_intro zenon_He2 ].
% 9.92/10.09 exact (zenon_Haf zenon_Hb4).
% 9.92/10.09 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ].
% 9.92/10.09 apply (zenon_L61_); trivial.
% 9.92/10.09 apply (zenon_L65_); trivial.
% 9.92/10.09 (* end of lemma zenon_L66_ *)
% 9.92/10.09 assert (zenon_L67_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (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 (e1) (e1)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((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))))) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_Hf8 zenon_H44 zenon_H68 zenon_Haf zenon_Hc0 zenon_Hec zenon_H95 zenon_Hc1 zenon_H53 zenon_He8 zenon_Hbb zenon_He7 zenon_Hf5 zenon_H4c zenon_H35 zenon_H5e zenon_Hde zenon_He3 zenon_He4 zenon_H7e zenon_H80 zenon_H7d.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 9.92/10.09 apply (zenon_L56_); trivial.
% 9.92/10.09 apply (zenon_L66_); trivial.
% 9.92/10.09 (* end of lemma zenon_L67_ *)
% 9.92/10.09 assert (zenon_L68_ : ((op (e3) (e3)) = (e3)) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H84 zenon_H57 zenon_H7a.
% 9.92/10.09 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hfa ].
% 9.92/10.09 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e0) (e3)) = (op (e3) (e3)))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H7a.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_Hf9.
% 9.92/10.09 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hfa].
% 9.92/10.09 cut (((op (e3) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hfb].
% 9.92/10.09 congruence.
% 9.92/10.09 cut (((op (e3) (e3)) = (e3)) = ((op (e3) (e3)) = (op (e0) (e3)))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_Hfb.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H84.
% 9.92/10.09 cut (((e3) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hfc].
% 9.92/10.09 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hfa].
% 9.92/10.09 congruence.
% 9.92/10.09 apply zenon_Hfa. apply refl_equal.
% 9.92/10.09 apply zenon_Hfc. apply sym_equal. exact zenon_H57.
% 9.92/10.09 apply zenon_Hfa. apply refl_equal.
% 9.92/10.09 apply zenon_Hfa. apply refl_equal.
% 9.92/10.09 (* end of lemma zenon_L68_ *)
% 9.92/10.09 assert (zenon_L69_ : (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e0) (e2)) = (e0)) -> False).
% 9.92/10.09 do 0 intro. intros zenon_Hfd zenon_H68 zenon_H51.
% 9.92/10.09 cut (((op (e0) (e1)) = (e0)) = ((op (e0) (e1)) = (op (e0) (e2)))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_Hfd.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H68.
% 9.92/10.09 cut (((e0) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hfe].
% 9.92/10.09 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H2e].
% 9.92/10.09 congruence.
% 9.92/10.09 apply zenon_H2e. apply refl_equal.
% 9.92/10.09 apply zenon_Hfe. apply sym_equal. exact zenon_H51.
% 9.92/10.09 (* end of lemma zenon_L69_ *)
% 9.92/10.09 assert (zenon_L70_ : ((op (e0) (e2)) = (e1)) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e2))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H5d zenon_H3b zenon_H35.
% 9.92/10.09 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ].
% 9.92/10.09 cut (((e2) = (e2)) = ((e1) = (e2))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H35.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H36.
% 9.92/10.09 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 9.92/10.09 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 9.92/10.09 congruence.
% 9.92/10.09 cut (((op (e0) (e2)) = (e1)) = ((e2) = (e1))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H38.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H5d.
% 9.92/10.09 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 9.92/10.09 cut (((op (e0) (e2)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hff].
% 9.92/10.09 congruence.
% 9.92/10.09 exact (zenon_Hff zenon_H3b).
% 9.92/10.09 apply zenon_H33. apply refl_equal.
% 9.92/10.09 apply zenon_H37. apply refl_equal.
% 9.92/10.09 apply zenon_H37. apply refl_equal.
% 9.92/10.09 (* end of lemma zenon_L70_ *)
% 9.92/10.09 assert (zenon_L71_ : (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> ((op (e1) (e2)) = (e0)) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H5e zenon_H100 zenon_H101.
% 9.92/10.09 cut (((op (e1) (e2)) = (e1)) = ((e0) = (e1))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H5e.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H100.
% 9.92/10.09 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 9.92/10.09 cut (((op (e1) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H102].
% 9.92/10.09 congruence.
% 9.92/10.09 exact (zenon_H102 zenon_H101).
% 9.92/10.09 apply zenon_H33. apply refl_equal.
% 9.92/10.09 (* end of lemma zenon_L71_ *)
% 9.92/10.09 assert (zenon_L72_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e2)) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H103 zenon_H35 zenon_H3b zenon_H101 zenon_H5e zenon_H91 zenon_H4c zenon_Hed.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H5d | zenon_intro zenon_H104 ].
% 9.92/10.09 apply (zenon_L70_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_H100 | zenon_intro zenon_H105 ].
% 9.92/10.09 apply (zenon_L71_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf3 ].
% 9.92/10.09 exact (zenon_H91 zenon_H94).
% 9.92/10.09 apply (zenon_L64_); trivial.
% 9.92/10.09 (* end of lemma zenon_L72_ *)
% 9.92/10.09 assert (zenon_L73_ : (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (e2)) = (e0)) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H53 zenon_Hed zenon_H106.
% 9.92/10.09 cut (((op (e3) (e2)) = (e3)) = ((e0) = (e3))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H53.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_Hed.
% 9.92/10.09 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 9.92/10.09 cut (((op (e3) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H107].
% 9.92/10.09 congruence.
% 9.92/10.09 exact (zenon_H107 zenon_H106).
% 9.92/10.09 apply zenon_H4e. apply refl_equal.
% 9.92/10.09 (* end of lemma zenon_L73_ *)
% 9.92/10.09 assert (zenon_L74_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H108 zenon_H68 zenon_Hfd zenon_H4c zenon_H91 zenon_H5e zenon_H3b zenon_H35 zenon_H103 zenon_Hb1 zenon_H53 zenon_Hed.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H51 | zenon_intro zenon_H109 ].
% 9.92/10.09 apply (zenon_L69_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H101 | zenon_intro zenon_H10a ].
% 9.92/10.09 apply (zenon_L72_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H106 ].
% 9.92/10.09 exact (zenon_Hb1 zenon_Hb7).
% 9.92/10.09 apply (zenon_L73_); trivial.
% 9.92/10.09 (* end of lemma zenon_L74_ *)
% 9.92/10.09 assert (zenon_L75_ : ((op (e3) (e2)) = (e3)) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_Hed zenon_H52 zenon_H10b.
% 9.92/10.09 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_H10c | zenon_intro zenon_H10d ].
% 9.92/10.09 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (e0) (e2)) = (op (e3) (e2)))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H10b.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H10c.
% 9.92/10.09 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H10d].
% 9.92/10.09 cut (((op (e3) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H10e].
% 9.92/10.09 congruence.
% 9.92/10.09 cut (((op (e3) (e2)) = (e3)) = ((op (e3) (e2)) = (op (e0) (e2)))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H10e.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_Hed.
% 9.92/10.09 cut (((e3) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H10f].
% 9.92/10.09 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H10d].
% 9.92/10.09 congruence.
% 9.92/10.09 apply zenon_H10d. apply refl_equal.
% 9.92/10.09 apply zenon_H10f. apply sym_equal. exact zenon_H52.
% 9.92/10.09 apply zenon_H10d. apply refl_equal.
% 9.92/10.09 apply zenon_H10d. apply refl_equal.
% 9.92/10.09 (* end of lemma zenon_L75_ *)
% 9.92/10.09 assert (zenon_L76_ : (((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 (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H97 zenon_H28 zenon_H53 zenon_H68 zenon_H10b zenon_Hed zenon_H47 zenon_H95.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H31 | zenon_intro zenon_H98 ].
% 9.92/10.09 exact (zenon_H28 zenon_H31).
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ].
% 9.92/10.09 apply (zenon_L30_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H52 | zenon_intro zenon_H57 ].
% 9.92/10.09 apply (zenon_L75_); trivial.
% 9.92/10.09 apply (zenon_L54_); trivial.
% 9.92/10.09 (* end of lemma zenon_L76_ *)
% 9.92/10.09 assert (zenon_L77_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((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 (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((e2) = (e3))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H42 zenon_H27 zenon_H44 zenon_Hb1 zenon_H103 zenon_H35 zenon_H5e zenon_H91 zenon_H4c zenon_Hfd zenon_H108 zenon_H97 zenon_H28 zenon_H53 zenon_H68 zenon_H10b zenon_Hed zenon_H95.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 9.92/10.09 exact (zenon_H27 zenon_H32).
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 9.92/10.09 apply (zenon_L16_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 9.92/10.09 apply (zenon_L74_); trivial.
% 9.92/10.09 apply (zenon_L76_); trivial.
% 9.92/10.09 (* end of lemma zenon_L77_ *)
% 9.92/10.09 assert (zenon_L78_ : (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e2) (e1)) = (e1)) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H110 zenon_H1d zenon_H77.
% 9.92/10.09 cut (((op (e1) (e1)) = (e1)) = ((op (e1) (e1)) = (op (e2) (e1)))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H110.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H1d.
% 9.92/10.09 cut (((e1) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H111].
% 9.92/10.09 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H21].
% 9.92/10.09 congruence.
% 9.92/10.09 apply zenon_H21. apply refl_equal.
% 9.92/10.09 apply zenon_H111. apply sym_equal. exact zenon_H77.
% 9.92/10.09 (* end of lemma zenon_L78_ *)
% 9.92/10.09 assert (zenon_L79_ : (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e2) (e1)) = (e2)) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H112 zenon_Hcf zenon_Hb8.
% 9.92/10.09 cut (((op (e2) (e0)) = (e2)) = ((op (e2) (e0)) = (op (e2) (e1)))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H112.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_Hcf.
% 9.92/10.09 cut (((e2) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H113].
% 9.92/10.09 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hcb].
% 9.92/10.09 congruence.
% 9.92/10.09 apply zenon_Hcb. apply refl_equal.
% 9.92/10.09 apply zenon_H113. apply sym_equal. exact zenon_Hb8.
% 9.92/10.09 (* end of lemma zenon_L79_ *)
% 9.92/10.09 assert (zenon_L80_ : ((op (e3) (e1)) = (e3)) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_Hbd zenon_Hb9 zenon_H114.
% 9.92/10.09 elim (classic ((op (e3) (e1)) = (op (e3) (e1)))); [ zenon_intro zenon_H115 | zenon_intro zenon_Hef ].
% 9.92/10.09 cut (((op (e3) (e1)) = (op (e3) (e1))) = ((op (e2) (e1)) = (op (e3) (e1)))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H114.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H115.
% 9.92/10.09 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hef].
% 9.92/10.09 cut (((op (e3) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H116].
% 9.92/10.09 congruence.
% 9.92/10.09 cut (((op (e3) (e1)) = (e3)) = ((op (e3) (e1)) = (op (e2) (e1)))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H116.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_Hbd.
% 9.92/10.09 cut (((e3) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H117].
% 9.92/10.09 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hef].
% 9.92/10.09 congruence.
% 9.92/10.09 apply zenon_Hef. apply refl_equal.
% 9.92/10.09 apply zenon_H117. apply sym_equal. exact zenon_Hb9.
% 9.92/10.09 apply zenon_Hef. apply refl_equal.
% 9.92/10.09 apply zenon_Hef. apply refl_equal.
% 9.92/10.09 (* end of lemma zenon_L80_ *)
% 9.92/10.09 assert (zenon_L81_ : (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H118 zenon_H68 zenon_Hd3 zenon_H1d zenon_H110 zenon_Hcf zenon_H112 zenon_Hbd zenon_H114.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H78 | zenon_intro zenon_H119 ].
% 9.92/10.09 apply (zenon_L46_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H77 | zenon_intro zenon_H11a ].
% 9.92/10.09 apply (zenon_L78_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hb9 ].
% 9.92/10.09 apply (zenon_L79_); trivial.
% 9.92/10.09 apply (zenon_L80_); trivial.
% 9.92/10.09 (* end of lemma zenon_L81_ *)
% 9.92/10.09 assert (zenon_L82_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e3)) -> ((op (e2) (e1)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (~((e2) = (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))))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e2)) -> False).
% 9.92/10.09 do 0 intro. intros zenon_Hb0 zenon_H74 zenon_Hb8 zenon_H44 zenon_Hb1 zenon_Hab zenon_H4c zenon_H3b zenon_H95 zenon_H68 zenon_H53 zenon_H28 zenon_H97 zenon_H35 zenon_H5e zenon_H9b.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hb5 ].
% 9.92/10.09 apply (zenon_L20_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H78 | zenon_intro zenon_Hb6 ].
% 9.92/10.09 apply (zenon_L57_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H89 ].
% 9.92/10.09 exact (zenon_Hb1 zenon_Hb7).
% 9.92/10.09 apply (zenon_L38_); trivial.
% 9.92/10.09 (* end of lemma zenon_L82_ *)
% 9.92/10.09 assert (zenon_L83_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e1)) = (e3)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((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))))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e2)) = (op (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).
% 9.92/10.09 do 0 intro. intros zenon_Hda zenon_Hbd zenon_Hb0 zenon_H44 zenon_Hb1 zenon_Hab zenon_H4c zenon_H3b zenon_H68 zenon_H53 zenon_H28 zenon_H97 zenon_H35 zenon_H5e zenon_Haf zenon_Hde zenon_H6f zenon_H69 zenon_Hae zenon_H95 zenon_Hd8.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdb ].
% 9.92/10.09 exact (zenon_H28 zenon_H31).
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H6c | zenon_intro zenon_Hdc ].
% 9.92/10.09 apply (zenon_L18_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H74 | zenon_intro zenon_Hbc ].
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6a | zenon_intro zenon_Hb2 ].
% 9.92/10.09 apply (zenon_L17_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb3 ].
% 9.92/10.09 exact (zenon_Haf zenon_Hb4).
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H6e | zenon_intro zenon_H9b ].
% 9.92/10.09 apply (zenon_L19_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H34 | zenon_intro zenon_He1 ].
% 9.92/10.09 apply (zenon_L16_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_Hb4 | zenon_intro zenon_He2 ].
% 9.92/10.09 exact (zenon_Haf zenon_Hb4).
% 9.92/10.09 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ].
% 9.92/10.09 apply (zenon_L82_); trivial.
% 9.92/10.09 apply (zenon_L50_); trivial.
% 9.92/10.09 apply (zenon_L51_); trivial.
% 9.92/10.09 (* end of lemma zenon_L83_ *)
% 9.92/10.09 assert (zenon_L84_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (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) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e1)) = (e3)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((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))))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e2) = (e3))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_Hdd zenon_H27 zenon_H114 zenon_H112 zenon_H110 zenon_H1d zenon_Hd3 zenon_H118 zenon_Hda zenon_Hbd zenon_Hb0 zenon_H44 zenon_Hb1 zenon_Hab zenon_H4c zenon_H3b zenon_H68 zenon_H53 zenon_H28 zenon_H97 zenon_H35 zenon_H5e zenon_Haf zenon_Hde zenon_H6f zenon_H69 zenon_Hae zenon_H95.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hdf ].
% 9.92/10.09 exact (zenon_H27 zenon_H32).
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H6a | zenon_intro zenon_He0 ].
% 9.92/10.09 apply (zenon_L17_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd8 ].
% 9.92/10.09 apply (zenon_L81_); trivial.
% 9.92/10.09 apply (zenon_L83_); trivial.
% 9.92/10.09 (* end of lemma zenon_L84_ *)
% 9.92/10.09 assert (zenon_L85_ : (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e1)) = (e0)) -> ((op (e0) (e3)) = (e0)) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H11b zenon_H68 zenon_H43.
% 9.92/10.09 cut (((op (e0) (e1)) = (e0)) = ((op (e0) (e1)) = (op (e0) (e3)))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H11b.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H68.
% 9.92/10.09 cut (((e0) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H11c].
% 9.92/10.09 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H2e].
% 9.92/10.09 congruence.
% 9.92/10.09 apply zenon_H2e. apply refl_equal.
% 9.92/10.09 apply zenon_H11c. apply sym_equal. exact zenon_H43.
% 9.92/10.09 (* end of lemma zenon_L85_ *)
% 9.92/10.09 assert (zenon_L86_ : (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e3) (e3)) = (e1)) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H7a zenon_H62 zenon_H83.
% 9.92/10.09 cut (((op (e0) (e3)) = (e1)) = ((op (e0) (e3)) = (op (e3) (e3)))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H7a.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H62.
% 9.92/10.09 cut (((e1) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H9f].
% 9.92/10.09 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H5a].
% 9.92/10.09 congruence.
% 9.92/10.09 apply zenon_H5a. apply refl_equal.
% 9.92/10.09 apply zenon_H9f. apply sym_equal. exact zenon_H83.
% 9.92/10.09 (* end of lemma zenon_L86_ *)
% 9.92/10.09 assert (zenon_L87_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H7d zenon_H8d zenon_H62 zenon_H7a zenon_H7f zenon_H80.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H7b | zenon_intro zenon_H81 ].
% 9.92/10.09 exact (zenon_H8d zenon_H7b).
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H83 | zenon_intro zenon_H82 ].
% 9.92/10.09 apply (zenon_L86_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H85 | zenon_intro zenon_H84 ].
% 9.92/10.09 exact (zenon_H7f zenon_H85).
% 9.92/10.09 exact (zenon_H80 zenon_H84).
% 9.92/10.09 (* end of lemma zenon_L87_ *)
% 9.92/10.09 assert (zenon_L88_ : (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e1) (e3)) = (e1)) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H11d zenon_H1d zenon_H9a.
% 9.92/10.09 cut (((op (e1) (e1)) = (e1)) = ((op (e1) (e1)) = (op (e1) (e3)))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H11d.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H1d.
% 9.92/10.09 cut (((e1) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H11e].
% 9.92/10.09 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H21].
% 9.92/10.09 congruence.
% 9.92/10.09 apply zenon_H21. apply refl_equal.
% 9.92/10.09 apply zenon_H11e. apply sym_equal. exact zenon_H9a.
% 9.92/10.09 (* end of lemma zenon_L88_ *)
% 9.92/10.09 assert (zenon_L89_ : (~((e1) = (e3))) -> ((op (e2) (e3)) = (e3)) -> ((op (e2) (e3)) = (e1)) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H4c zenon_H11f zenon_H8a.
% 9.92/10.09 cut (((op (e2) (e3)) = (e3)) = ((e1) = (e3))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H4c.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H11f.
% 9.92/10.09 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 9.92/10.09 cut (((op (e2) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H8b].
% 9.92/10.09 congruence.
% 9.92/10.09 exact (zenon_H8b zenon_H8a).
% 9.92/10.09 apply zenon_H4e. apply refl_equal.
% 9.92/10.09 (* end of lemma zenon_L89_ *)
% 9.92/10.09 assert (zenon_L90_ : ((op (e1) (e3)) = (e0)) -> ((op (e3) (e3)) = (e1)) -> (~((e0) = (op (op (e3) (e3)) (e3)))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H87 zenon_H83 zenon_H120.
% 9.92/10.09 elim (classic ((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Haa ].
% 9.92/10.09 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3))) = ((e0) = (op (op (e3) (e3)) (e3)))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H120.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_Ha9.
% 9.92/10.09 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Haa].
% 9.92/10.09 cut (((op (op (e3) (e3)) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H121].
% 9.92/10.09 congruence.
% 9.92/10.09 cut (((op (e1) (e3)) = (e0)) = ((op (op (e3) (e3)) (e3)) = (e0))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H121.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H87.
% 9.92/10.09 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H41].
% 9.92/10.09 cut (((op (e1) (e3)) = (op (op (e3) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Ha8].
% 9.92/10.09 congruence.
% 9.92/10.09 elim (classic ((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Haa ].
% 9.92/10.09 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3))) = ((op (e1) (e3)) = (op (op (e3) (e3)) (e3)))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_Ha8.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_Ha9.
% 9.92/10.09 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Haa].
% 9.92/10.09 cut (((op (op (e3) (e3)) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H9d].
% 9.92/10.09 congruence.
% 9.92/10.09 apply (zenon_L36_); trivial.
% 9.92/10.09 apply zenon_Haa. apply refl_equal.
% 9.92/10.09 apply zenon_Haa. apply refl_equal.
% 9.92/10.09 apply zenon_H41. apply refl_equal.
% 9.92/10.09 apply zenon_Haa. apply refl_equal.
% 9.92/10.09 apply zenon_Haa. apply refl_equal.
% 9.92/10.09 (* end of lemma zenon_L90_ *)
% 9.92/10.09 assert (zenon_L91_ : ((op (e0) (e3)) = (e2)) -> ((op (e1) (e3)) = (e0)) -> ((op (e3) (e3)) = (e1)) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H47 zenon_H87 zenon_H83.
% 9.92/10.09 apply (zenon_notand_s _ _ ax14); [ zenon_intro zenon_H9f | zenon_intro zenon_H122 ].
% 9.92/10.09 apply zenon_H9f. apply sym_equal. exact zenon_H83.
% 9.92/10.09 apply (zenon_notand_s _ _ zenon_H122); [ zenon_intro zenon_H123 | zenon_intro zenon_H120 ].
% 9.92/10.09 elim (classic ((op (op (op (e3) (e3)) (e3)) (e3)) = (op (op (op (e3) (e3)) (e3)) (e3)))); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Ha3 ].
% 9.92/10.09 cut (((op (op (op (e3) (e3)) (e3)) (e3)) = (op (op (op (e3) (e3)) (e3)) (e3))) = ((e2) = (op (op (op (e3) (e3)) (e3)) (e3)))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H123.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_Ha2.
% 9.92/10.09 cut (((op (op (op (e3) (e3)) (e3)) (e3)) = (op (op (op (e3) (e3)) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Ha3].
% 9.92/10.09 cut (((op (op (op (e3) (e3)) (e3)) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H124].
% 9.92/10.09 congruence.
% 9.92/10.09 cut (((op (e0) (e3)) = (e2)) = ((op (op (op (e3) (e3)) (e3)) (e3)) = (e2))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H124.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H47.
% 9.92/10.09 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 9.92/10.09 cut (((op (e0) (e3)) = (op (op (op (e3) (e3)) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H125].
% 9.92/10.09 congruence.
% 9.92/10.09 elim (classic ((op (op (op (e3) (e3)) (e3)) (e3)) = (op (op (op (e3) (e3)) (e3)) (e3)))); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Ha3 ].
% 9.92/10.09 cut (((op (op (op (e3) (e3)) (e3)) (e3)) = (op (op (op (e3) (e3)) (e3)) (e3))) = ((op (e0) (e3)) = (op (op (op (e3) (e3)) (e3)) (e3)))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H125.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_Ha2.
% 9.92/10.09 cut (((op (op (op (e3) (e3)) (e3)) (e3)) = (op (op (op (e3) (e3)) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Ha3].
% 9.92/10.09 cut (((op (op (op (e3) (e3)) (e3)) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H126].
% 9.92/10.09 congruence.
% 9.92/10.09 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 9.92/10.09 cut (((op (op (e3) (e3)) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H121].
% 9.92/10.09 congruence.
% 9.92/10.09 cut (((op (e1) (e3)) = (e0)) = ((op (op (e3) (e3)) (e3)) = (e0))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H121.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H87.
% 9.92/10.09 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H41].
% 9.92/10.09 cut (((op (e1) (e3)) = (op (op (e3) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Ha8].
% 9.92/10.09 congruence.
% 9.92/10.09 elim (classic ((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Haa ].
% 9.92/10.09 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3))) = ((op (e1) (e3)) = (op (op (e3) (e3)) (e3)))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_Ha8.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_Ha9.
% 9.92/10.09 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Haa].
% 9.92/10.09 cut (((op (op (e3) (e3)) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H9d].
% 9.92/10.09 congruence.
% 9.92/10.09 apply (zenon_L36_); trivial.
% 9.92/10.09 apply zenon_Haa. apply refl_equal.
% 9.92/10.09 apply zenon_Haa. apply refl_equal.
% 9.92/10.09 apply zenon_H41. apply refl_equal.
% 9.92/10.09 apply zenon_H4e. apply refl_equal.
% 9.92/10.09 apply zenon_Ha3. apply refl_equal.
% 9.92/10.09 apply zenon_Ha3. apply refl_equal.
% 9.92/10.09 apply zenon_H37. apply refl_equal.
% 9.92/10.09 apply zenon_Ha3. apply refl_equal.
% 9.92/10.09 apply zenon_Ha3. apply refl_equal.
% 9.92/10.09 apply (zenon_L90_); trivial.
% 9.92/10.09 (* end of lemma zenon_L91_ *)
% 9.92/10.09 assert (zenon_L92_ : ((op (e1) (e3)) = (e0)) -> ((op (e1) (e3)) = (e2)) -> (~((e0) = (e2))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H87 zenon_H9b zenon_H44.
% 9.92/10.09 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ].
% 9.92/10.09 cut (((e2) = (e2)) = ((e0) = (e2))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H44.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H36.
% 9.92/10.09 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 9.92/10.09 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H48].
% 9.92/10.09 congruence.
% 9.92/10.09 cut (((op (e1) (e3)) = (e0)) = ((e2) = (e0))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H48.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H87.
% 9.92/10.09 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H41].
% 9.92/10.09 cut (((op (e1) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H9c].
% 9.92/10.09 congruence.
% 9.92/10.09 exact (zenon_H9c zenon_H9b).
% 9.92/10.09 apply zenon_H41. apply refl_equal.
% 9.92/10.09 apply zenon_H37. apply refl_equal.
% 9.92/10.09 apply zenon_H37. apply refl_equal.
% 9.92/10.09 (* end of lemma zenon_L92_ *)
% 9.92/10.09 assert (zenon_L93_ : (~((e2) = (e3))) -> ((op (e2) (e3)) = (e3)) -> ((op (e2) (e3)) = (e2)) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H95 zenon_H11f zenon_Hd0.
% 9.92/10.09 cut (((op (e2) (e3)) = (e3)) = ((e2) = (e3))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H95.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H11f.
% 9.92/10.09 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 9.92/10.09 cut (((op (e2) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H127].
% 9.92/10.09 congruence.
% 9.92/10.09 exact (zenon_H127 zenon_Hd0).
% 9.92/10.09 apply zenon_H4e. apply refl_equal.
% 9.92/10.09 (* end of lemma zenon_L93_ *)
% 9.92/10.09 assert (zenon_L94_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e3)) = (e1)) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e0)) -> ((op (e2) (e3)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H128 zenon_H83 zenon_H44 zenon_H87 zenon_H11f zenon_H95 zenon_H7f.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H47 | zenon_intro zenon_H129 ].
% 9.92/10.09 apply (zenon_L91_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H9b | zenon_intro zenon_H12a ].
% 9.92/10.09 apply (zenon_L92_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H85 ].
% 9.92/10.09 apply (zenon_L93_); trivial.
% 9.92/10.09 exact (zenon_H7f zenon_H85).
% 9.92/10.09 (* end of lemma zenon_L94_ *)
% 9.92/10.09 assert (zenon_L95_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e0)) -> ((op (e2) (e3)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_Hab zenon_H80 zenon_H7a zenon_H8d zenon_H7d zenon_H1d zenon_H11d zenon_H4c zenon_H128 zenon_H44 zenon_H87 zenon_H11f zenon_H95 zenon_H7f.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H62 | zenon_intro zenon_Hac ].
% 9.92/10.09 apply (zenon_L87_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H9a | zenon_intro zenon_Had ].
% 9.92/10.09 apply (zenon_L88_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H8a | zenon_intro zenon_H83 ].
% 9.92/10.09 apply (zenon_L89_); trivial.
% 9.92/10.09 apply (zenon_L94_); trivial.
% 9.92/10.09 (* end of lemma zenon_L95_ *)
% 9.92/10.09 assert (zenon_L96_ : (~((e0) = (e3))) -> ((op (e2) (e3)) = (e3)) -> ((op (e2) (e3)) = (e0)) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H53 zenon_H11f zenon_H89.
% 9.92/10.09 cut (((op (e2) (e3)) = (e3)) = ((e0) = (e3))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H53.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H11f.
% 9.92/10.09 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 9.92/10.09 cut (((op (e2) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H12b].
% 9.92/10.09 congruence.
% 9.92/10.09 exact (zenon_H12b zenon_H89).
% 9.92/10.09 apply zenon_H4e. apply refl_equal.
% 9.92/10.09 (* end of lemma zenon_L96_ *)
% 9.92/10.09 assert (zenon_L97_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (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 (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e3)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H8c zenon_H68 zenon_H11b zenon_H7f zenon_H95 zenon_H44 zenon_H128 zenon_H4c zenon_H11d zenon_H1d zenon_H7d zenon_H7a zenon_H80 zenon_Hab zenon_H11f zenon_H53 zenon_H8d.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H43 | zenon_intro zenon_H8e ].
% 9.92/10.09 apply (zenon_L85_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H87 | zenon_intro zenon_H8f ].
% 9.92/10.09 apply (zenon_L95_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H7b ].
% 9.92/10.09 apply (zenon_L96_); trivial.
% 9.92/10.09 exact (zenon_H8d zenon_H7b).
% 9.92/10.09 (* end of lemma zenon_L97_ *)
% 9.92/10.09 assert (zenon_L98_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (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 (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_H12c zenon_H73 zenon_H114 zenon_Hbd zenon_Hc8 zenon_H8c zenon_H68 zenon_H11b zenon_H7f zenon_H95 zenon_H44 zenon_H128 zenon_H4c zenon_H11d zenon_H1d zenon_H7d zenon_H7a zenon_H80 zenon_Hab zenon_H53 zenon_H8d.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H74 | zenon_intro zenon_H12d ].
% 9.92/10.09 apply (zenon_L20_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H12e ].
% 9.92/10.09 apply (zenon_L80_); trivial.
% 9.92/10.09 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hcd | zenon_intro zenon_H11f ].
% 9.92/10.09 exact (zenon_Hc8 zenon_Hcd).
% 9.92/10.09 apply (zenon_L97_); trivial.
% 9.92/10.09 (* end of lemma zenon_L98_ *)
% 9.92/10.09 assert (zenon_L99_ : ((op (e3) (e0)) = (e0)) -> ((op (e3) (e0)) = (e2)) -> (~((e0) = (e2))) -> False).
% 9.92/10.09 do 0 intro. intros zenon_He4 zenon_Hd8 zenon_H44.
% 9.92/10.09 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ].
% 9.92/10.09 cut (((e2) = (e2)) = ((e0) = (e2))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H44.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_H36.
% 9.92/10.09 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 9.92/10.09 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H48].
% 9.92/10.09 congruence.
% 9.92/10.09 cut (((op (e3) (e0)) = (e0)) = ((e2) = (e0))).
% 9.92/10.09 intro zenon_D_pnotp.
% 9.92/10.09 apply zenon_H48.
% 9.92/10.09 rewrite <- zenon_D_pnotp.
% 9.92/10.09 exact zenon_He4.
% 9.92/10.09 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H41].
% 9.92/10.09 cut (((op (e3) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hd9].
% 9.92/10.10 congruence.
% 9.92/10.10 exact (zenon_Hd9 zenon_Hd8).
% 9.92/10.10 apply zenon_H41. apply refl_equal.
% 9.92/10.10 apply zenon_H37. apply refl_equal.
% 9.92/10.10 apply zenon_H37. apply refl_equal.
% 9.92/10.10 (* end of lemma zenon_L99_ *)
% 9.92/10.10 assert (zenon_L100_ : (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> ((op (e1) (e0)) = (e0)) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H12f zenon_H2a zenon_H69.
% 9.92/10.10 cut (((op (e0) (e0)) = (e0)) = ((op (e0) (e0)) = (op (e1) (e0)))).
% 9.92/10.10 intro zenon_D_pnotp.
% 9.92/10.10 apply zenon_H12f.
% 9.92/10.10 rewrite <- zenon_D_pnotp.
% 9.92/10.10 exact zenon_H2a.
% 9.92/10.10 cut (((e0) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H130].
% 9.92/10.10 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H131].
% 9.92/10.10 congruence.
% 9.92/10.10 apply zenon_H131. apply refl_equal.
% 9.92/10.10 apply zenon_H130. apply sym_equal. exact zenon_H69.
% 9.92/10.10 (* end of lemma zenon_L100_ *)
% 9.92/10.10 assert (zenon_L101_ : (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e0)) -> ((op (e0) (e2)) = (e0)) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H132 zenon_H2a zenon_H51.
% 9.92/10.10 cut (((op (e0) (e0)) = (e0)) = ((op (e0) (e0)) = (op (e0) (e2)))).
% 9.92/10.10 intro zenon_D_pnotp.
% 9.92/10.10 apply zenon_H132.
% 9.92/10.10 rewrite <- zenon_D_pnotp.
% 9.92/10.10 exact zenon_H2a.
% 9.92/10.10 cut (((e0) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hfe].
% 9.92/10.10 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H131].
% 9.92/10.10 congruence.
% 9.92/10.10 apply zenon_H131. apply refl_equal.
% 9.92/10.10 apply zenon_Hfe. apply sym_equal. exact zenon_H51.
% 9.92/10.10 (* end of lemma zenon_L101_ *)
% 9.92/10.10 assert (zenon_L102_ : (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e1)) -> ((op (e2) (e2)) = (e1)) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H3c zenon_H5d zenon_H94.
% 9.92/10.10 cut (((op (e0) (e2)) = (e1)) = ((op (e0) (e2)) = (op (e2) (e2)))).
% 9.92/10.10 intro zenon_D_pnotp.
% 9.92/10.10 apply zenon_H3c.
% 9.92/10.10 rewrite <- zenon_D_pnotp.
% 9.92/10.10 exact zenon_H5d.
% 9.92/10.10 cut (((e1) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H133].
% 9.92/10.10 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H134].
% 9.92/10.10 congruence.
% 9.92/10.10 apply zenon_H134. apply refl_equal.
% 9.92/10.10 apply zenon_H133. apply sym_equal. exact zenon_H94.
% 9.92/10.10 (* end of lemma zenon_L102_ *)
% 9.92/10.10 assert (zenon_L103_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> False).
% 9.92/10.10 do 0 intro. intros zenon_Hc5 zenon_Hb1 zenon_H5d zenon_H3c zenon_Hc7 zenon_Hc8.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ].
% 9.92/10.10 exact (zenon_Hb1 zenon_Hb7).
% 9.92/10.10 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H94 | zenon_intro zenon_Hcc ].
% 9.92/10.10 apply (zenon_L102_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H3a | zenon_intro zenon_Hcd ].
% 9.92/10.10 exact (zenon_Hc7 zenon_H3a).
% 9.92/10.10 exact (zenon_Hc8 zenon_Hcd).
% 9.92/10.10 (* end of lemma zenon_L103_ *)
% 9.92/10.10 assert (zenon_L104_ : ((op (e3) (e2)) = (e2)) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H135 zenon_H3b zenon_H10b.
% 9.92/10.10 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_H10c | zenon_intro zenon_H10d ].
% 9.92/10.10 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (e0) (e2)) = (op (e3) (e2)))).
% 9.92/10.10 intro zenon_D_pnotp.
% 9.92/10.10 apply zenon_H10b.
% 9.92/10.10 rewrite <- zenon_D_pnotp.
% 9.92/10.10 exact zenon_H10c.
% 9.92/10.10 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H10d].
% 9.92/10.10 cut (((op (e3) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H10e].
% 9.92/10.10 congruence.
% 9.92/10.10 cut (((op (e3) (e2)) = (e2)) = ((op (e3) (e2)) = (op (e0) (e2)))).
% 9.92/10.10 intro zenon_D_pnotp.
% 9.92/10.10 apply zenon_H10e.
% 9.92/10.10 rewrite <- zenon_D_pnotp.
% 9.92/10.10 exact zenon_H135.
% 9.92/10.10 cut (((e2) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H40].
% 9.92/10.10 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H10d].
% 9.92/10.10 congruence.
% 9.92/10.10 apply zenon_H10d. apply refl_equal.
% 9.92/10.10 apply zenon_H40. apply sym_equal. exact zenon_H3b.
% 9.92/10.10 apply zenon_H10d. apply refl_equal.
% 9.92/10.10 apply zenon_H10d. apply refl_equal.
% 9.92/10.10 (* end of lemma zenon_L104_ *)
% 9.92/10.10 assert (zenon_L105_ : (~((op (op (e2) (e2)) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e1)) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H136 zenon_H94.
% 9.92/10.10 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 9.92/10.10 cut (((op (e2) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H91].
% 9.92/10.10 congruence.
% 9.92/10.10 exact (zenon_H91 zenon_H94).
% 9.92/10.10 apply zenon_H37. apply refl_equal.
% 9.92/10.10 (* end of lemma zenon_L105_ *)
% 9.92/10.10 assert (zenon_L106_ : ((op (e1) (e2)) = (e0)) -> ((op (e2) (e2)) = (e1)) -> (~((e0) = (op (op (e2) (e2)) (e2)))) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H101 zenon_H94 zenon_H137.
% 9.92/10.10 elim (classic ((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [ zenon_intro zenon_H138 | zenon_intro zenon_H139 ].
% 9.92/10.10 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2))) = ((e0) = (op (op (e2) (e2)) (e2)))).
% 9.92/10.10 intro zenon_D_pnotp.
% 9.92/10.10 apply zenon_H137.
% 9.92/10.10 rewrite <- zenon_D_pnotp.
% 9.92/10.10 exact zenon_H138.
% 9.92/10.10 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H139].
% 9.92/10.10 cut (((op (op (e2) (e2)) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H13a].
% 9.92/10.10 congruence.
% 9.92/10.10 cut (((op (e1) (e2)) = (e0)) = ((op (op (e2) (e2)) (e2)) = (e0))).
% 9.92/10.10 intro zenon_D_pnotp.
% 9.92/10.10 apply zenon_H13a.
% 9.92/10.10 rewrite <- zenon_D_pnotp.
% 9.92/10.10 exact zenon_H101.
% 9.92/10.10 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H41].
% 9.92/10.10 cut (((op (e1) (e2)) = (op (op (e2) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H13b].
% 9.92/10.10 congruence.
% 9.92/10.10 elim (classic ((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [ zenon_intro zenon_H138 | zenon_intro zenon_H139 ].
% 9.92/10.10 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2))) = ((op (e1) (e2)) = (op (op (e2) (e2)) (e2)))).
% 9.92/10.10 intro zenon_D_pnotp.
% 9.92/10.10 apply zenon_H13b.
% 9.92/10.10 rewrite <- zenon_D_pnotp.
% 9.92/10.10 exact zenon_H138.
% 9.92/10.10 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H139].
% 9.92/10.10 cut (((op (op (e2) (e2)) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H136].
% 9.92/10.10 congruence.
% 9.92/10.10 apply (zenon_L105_); trivial.
% 9.92/10.10 apply zenon_H139. apply refl_equal.
% 9.92/10.10 apply zenon_H139. apply refl_equal.
% 9.92/10.10 apply zenon_H41. apply refl_equal.
% 9.92/10.10 apply zenon_H139. apply refl_equal.
% 9.92/10.10 apply zenon_H139. apply refl_equal.
% 9.92/10.10 (* end of lemma zenon_L106_ *)
% 9.92/10.10 assert (zenon_L107_ : ((op (e0) (e2)) = (e3)) -> ((op (e1) (e2)) = (e0)) -> ((op (e2) (e2)) = (e1)) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H52 zenon_H101 zenon_H94.
% 9.92/10.10 apply (zenon_notand_s _ _ ax16); [ zenon_intro zenon_H133 | zenon_intro zenon_H13c ].
% 9.92/10.10 apply zenon_H133. apply sym_equal. exact zenon_H94.
% 9.92/10.10 apply (zenon_notand_s _ _ zenon_H13c); [ zenon_intro zenon_H13d | zenon_intro zenon_H137 ].
% 9.92/10.10 elim (classic ((op (op (op (e2) (e2)) (e2)) (e2)) = (op (op (op (e2) (e2)) (e2)) (e2)))); [ zenon_intro zenon_H13e | zenon_intro zenon_H13f ].
% 9.92/10.10 cut (((op (op (op (e2) (e2)) (e2)) (e2)) = (op (op (op (e2) (e2)) (e2)) (e2))) = ((e3) = (op (op (op (e2) (e2)) (e2)) (e2)))).
% 9.92/10.10 intro zenon_D_pnotp.
% 9.92/10.10 apply zenon_H13d.
% 9.92/10.10 rewrite <- zenon_D_pnotp.
% 9.92/10.10 exact zenon_H13e.
% 9.92/10.10 cut (((op (op (op (e2) (e2)) (e2)) (e2)) = (op (op (op (e2) (e2)) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H13f].
% 9.92/10.10 cut (((op (op (op (e2) (e2)) (e2)) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H140].
% 9.92/10.10 congruence.
% 9.92/10.10 cut (((op (e0) (e2)) = (e3)) = ((op (op (op (e2) (e2)) (e2)) (e2)) = (e3))).
% 9.92/10.10 intro zenon_D_pnotp.
% 9.92/10.10 apply zenon_H140.
% 9.92/10.10 rewrite <- zenon_D_pnotp.
% 9.92/10.10 exact zenon_H52.
% 9.92/10.10 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 9.92/10.10 cut (((op (e0) (e2)) = (op (op (op (e2) (e2)) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H141].
% 9.92/10.10 congruence.
% 9.92/10.10 elim (classic ((op (op (op (e2) (e2)) (e2)) (e2)) = (op (op (op (e2) (e2)) (e2)) (e2)))); [ zenon_intro zenon_H13e | zenon_intro zenon_H13f ].
% 9.92/10.10 cut (((op (op (op (e2) (e2)) (e2)) (e2)) = (op (op (op (e2) (e2)) (e2)) (e2))) = ((op (e0) (e2)) = (op (op (op (e2) (e2)) (e2)) (e2)))).
% 9.92/10.10 intro zenon_D_pnotp.
% 9.92/10.10 apply zenon_H141.
% 9.92/10.10 rewrite <- zenon_D_pnotp.
% 9.92/10.10 exact zenon_H13e.
% 9.92/10.10 cut (((op (op (op (e2) (e2)) (e2)) (e2)) = (op (op (op (e2) (e2)) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H13f].
% 9.92/10.10 cut (((op (op (op (e2) (e2)) (e2)) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H142].
% 9.92/10.10 congruence.
% 9.92/10.10 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 9.92/10.10 cut (((op (op (e2) (e2)) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H13a].
% 9.92/10.10 congruence.
% 9.92/10.10 cut (((op (e1) (e2)) = (e0)) = ((op (op (e2) (e2)) (e2)) = (e0))).
% 9.92/10.10 intro zenon_D_pnotp.
% 9.92/10.10 apply zenon_H13a.
% 9.92/10.10 rewrite <- zenon_D_pnotp.
% 9.92/10.10 exact zenon_H101.
% 9.92/10.10 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H41].
% 9.92/10.10 cut (((op (e1) (e2)) = (op (op (e2) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H13b].
% 9.92/10.10 congruence.
% 9.92/10.10 elim (classic ((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [ zenon_intro zenon_H138 | zenon_intro zenon_H139 ].
% 9.92/10.10 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2))) = ((op (e1) (e2)) = (op (op (e2) (e2)) (e2)))).
% 9.92/10.10 intro zenon_D_pnotp.
% 9.92/10.10 apply zenon_H13b.
% 9.92/10.10 rewrite <- zenon_D_pnotp.
% 9.92/10.10 exact zenon_H138.
% 9.92/10.10 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H139].
% 9.92/10.10 cut (((op (op (e2) (e2)) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H136].
% 9.92/10.10 congruence.
% 9.92/10.10 apply (zenon_L105_); trivial.
% 9.92/10.10 apply zenon_H139. apply refl_equal.
% 9.92/10.10 apply zenon_H139. apply refl_equal.
% 9.92/10.10 apply zenon_H41. apply refl_equal.
% 9.92/10.10 apply zenon_H37. apply refl_equal.
% 9.92/10.10 apply zenon_H13f. apply refl_equal.
% 9.92/10.10 apply zenon_H13f. apply refl_equal.
% 9.92/10.10 apply zenon_H4e. apply refl_equal.
% 9.92/10.10 apply zenon_H13f. apply refl_equal.
% 9.92/10.10 apply zenon_H13f. apply refl_equal.
% 9.92/10.10 apply (zenon_L106_); trivial.
% 9.92/10.10 (* end of lemma zenon_L107_ *)
% 9.92/10.10 assert (zenon_L108_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> ((op (e1) (e2)) = (e0)) -> ((op (e0) (e2)) = (e3)) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> False).
% 9.92/10.10 do 0 intro. intros zenon_Hc5 zenon_Hb1 zenon_H101 zenon_H52 zenon_Hc7 zenon_Hc8.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ].
% 9.92/10.10 exact (zenon_Hb1 zenon_Hb7).
% 9.92/10.10 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H94 | zenon_intro zenon_Hcc ].
% 9.92/10.10 apply (zenon_L107_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H3a | zenon_intro zenon_Hcd ].
% 9.92/10.10 exact (zenon_Hc7 zenon_H3a).
% 9.92/10.10 exact (zenon_Hc8 zenon_Hcd).
% 9.92/10.10 (* end of lemma zenon_L108_ *)
% 9.92/10.10 assert (zenon_L109_ : ((op (e3) (e2)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((e2) = (e3))) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H135 zenon_Hed zenon_H95.
% 9.92/10.10 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H4d | zenon_intro zenon_H4e ].
% 9.92/10.10 cut (((e3) = (e3)) = ((e2) = (e3))).
% 9.92/10.10 intro zenon_D_pnotp.
% 9.92/10.10 apply zenon_H95.
% 9.92/10.10 rewrite <- zenon_D_pnotp.
% 9.92/10.10 exact zenon_H4d.
% 9.92/10.10 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 9.92/10.10 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H96].
% 9.92/10.10 congruence.
% 9.92/10.10 cut (((op (e3) (e2)) = (e2)) = ((e3) = (e2))).
% 9.92/10.10 intro zenon_D_pnotp.
% 9.92/10.10 apply zenon_H96.
% 9.92/10.10 rewrite <- zenon_D_pnotp.
% 9.92/10.10 exact zenon_H135.
% 9.92/10.10 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 9.92/10.10 cut (((op (e3) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H143].
% 9.92/10.10 congruence.
% 9.92/10.10 exact (zenon_H143 zenon_Hed).
% 9.92/10.10 apply zenon_H37. apply refl_equal.
% 9.92/10.10 apply zenon_H4e. apply refl_equal.
% 9.92/10.10 apply zenon_H4e. apply refl_equal.
% 9.92/10.10 (* end of lemma zenon_L109_ *)
% 9.92/10.10 assert (zenon_L110_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((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))))) -> False).
% 9.92/10.10 do 0 intro. intros zenon_Hf8 zenon_H95 zenon_H12f zenon_H2a zenon_He8 zenon_H144 zenon_H135 zenon_H10b zenon_Hb1 zenon_H3c zenon_Hc7 zenon_Hc8 zenon_Hc5 zenon_H132 zenon_H7d zenon_H80 zenon_H7e zenon_H86 zenon_H145.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H69 | zenon_intro zenon_H146 ].
% 9.92/10.10 apply (zenon_L100_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Heb | zenon_intro zenon_H147 ].
% 9.92/10.10 exact (zenon_He8 zenon_Heb).
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H101 | zenon_intro zenon_H87 ].
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H51 | zenon_intro zenon_H148 ].
% 9.92/10.10 apply (zenon_L101_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H5d | zenon_intro zenon_H149 ].
% 9.92/10.10 apply (zenon_L103_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H3b | zenon_intro zenon_H52 ].
% 9.92/10.10 apply (zenon_L104_); trivial.
% 9.92/10.10 apply (zenon_L108_); trivial.
% 9.92/10.10 apply (zenon_L26_); trivial.
% 9.92/10.10 apply (zenon_L109_); trivial.
% 9.92/10.10 (* end of lemma zenon_L110_ *)
% 9.92/10.10 assert (zenon_L111_ : (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((op (e0) (e0)) = (e0)) -> ((op (e3) (e0)) = (e0)) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H14a zenon_H2a zenon_He4.
% 9.92/10.10 cut (((op (e0) (e0)) = (e0)) = ((op (e0) (e0)) = (op (e3) (e0)))).
% 9.92/10.10 intro zenon_D_pnotp.
% 9.92/10.10 apply zenon_H14a.
% 9.92/10.10 rewrite <- zenon_D_pnotp.
% 9.92/10.10 exact zenon_H2a.
% 9.92/10.10 cut (((e0) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H14b].
% 9.92/10.10 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H131].
% 9.92/10.10 congruence.
% 9.92/10.10 apply zenon_H131. apply refl_equal.
% 9.92/10.10 apply zenon_H14b. apply sym_equal. exact zenon_He4.
% 9.92/10.10 (* end of lemma zenon_L111_ *)
% 9.92/10.10 assert (zenon_L112_ : (~((e0) = (e3))) -> ((op (e3) (e1)) = (e3)) -> ((op (e3) (e1)) = (e0)) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H53 zenon_Hbd zenon_He5.
% 9.92/10.10 cut (((op (e3) (e1)) = (e3)) = ((e0) = (e3))).
% 9.92/10.10 intro zenon_D_pnotp.
% 9.92/10.10 apply zenon_H53.
% 9.92/10.10 rewrite <- zenon_D_pnotp.
% 9.92/10.10 exact zenon_Hbd.
% 9.92/10.10 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 9.92/10.10 cut (((op (e3) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H14c].
% 9.92/10.10 congruence.
% 9.92/10.10 exact (zenon_H14c zenon_He5).
% 9.92/10.10 apply zenon_H4e. apply refl_equal.
% 9.92/10.10 (* end of lemma zenon_L112_ *)
% 9.92/10.10 assert (zenon_L113_ : (~((e0) = (e2))) -> ((op (e3) (e2)) = (e2)) -> ((op (e3) (e2)) = (e0)) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H44 zenon_H135 zenon_H106.
% 9.92/10.10 cut (((op (e3) (e2)) = (e2)) = ((e0) = (e2))).
% 9.92/10.10 intro zenon_D_pnotp.
% 9.92/10.10 apply zenon_H44.
% 9.92/10.10 rewrite <- zenon_D_pnotp.
% 9.92/10.10 exact zenon_H135.
% 9.92/10.10 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 9.92/10.10 cut (((op (e3) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H107].
% 9.92/10.10 congruence.
% 9.92/10.10 exact (zenon_H107 zenon_H106).
% 9.92/10.10 apply zenon_H37. apply refl_equal.
% 9.92/10.10 (* end of lemma zenon_L113_ *)
% 9.92/10.10 assert (zenon_L114_ : (((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)) = (e3)) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H14d zenon_H2a zenon_H14a zenon_Hbd zenon_H53 zenon_H135 zenon_H44 zenon_H8d.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_He4 | zenon_intro zenon_H14e ].
% 9.92/10.10 apply (zenon_L111_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_He5 | zenon_intro zenon_H14f ].
% 9.92/10.10 apply (zenon_L112_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H106 | zenon_intro zenon_H7b ].
% 9.92/10.10 apply (zenon_L113_); trivial.
% 9.92/10.10 exact (zenon_H8d zenon_H7b).
% 9.92/10.10 (* end of lemma zenon_L114_ *)
% 9.92/10.10 assert (zenon_L115_ : ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (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 (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))))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H150 zenon_Hbb zenon_Hf8 zenon_H95 zenon_H12f zenon_H2a zenon_He8 zenon_H144 zenon_H135 zenon_H10b zenon_Hb1 zenon_H3c zenon_Hc7 zenon_Hc8 zenon_Hc5 zenon_H132 zenon_H7d zenon_H80 zenon_H86 zenon_H145 zenon_H14d zenon_H44 zenon_H53 zenon_H14a zenon_H151.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 9.92/10.10 apply (zenon_L110_); trivial.
% 9.92/10.10 apply (zenon_L114_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 9.92/10.10 apply (zenon_L110_); trivial.
% 9.92/10.10 apply (zenon_L41_); trivial.
% 9.92/10.10 (* end of lemma zenon_L115_ *)
% 9.92/10.10 assert (zenon_L116_ : ((op (e3) (e2)) = (e2)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H135 zenon_H3a zenon_H152.
% 9.92/10.10 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_H10c | zenon_intro zenon_H10d ].
% 9.92/10.10 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (e2) (e2)) = (op (e3) (e2)))).
% 9.92/10.10 intro zenon_D_pnotp.
% 9.92/10.10 apply zenon_H152.
% 9.92/10.10 rewrite <- zenon_D_pnotp.
% 9.92/10.10 exact zenon_H10c.
% 9.92/10.10 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H10d].
% 9.92/10.10 cut (((op (e3) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H153].
% 9.92/10.10 congruence.
% 9.92/10.10 cut (((op (e3) (e2)) = (e2)) = ((op (e3) (e2)) = (op (e2) (e2)))).
% 9.92/10.10 intro zenon_D_pnotp.
% 9.92/10.10 apply zenon_H153.
% 9.92/10.10 rewrite <- zenon_D_pnotp.
% 9.92/10.10 exact zenon_H135.
% 9.92/10.10 cut (((e2) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H154].
% 9.92/10.10 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H10d].
% 9.92/10.10 congruence.
% 9.92/10.10 apply zenon_H10d. apply refl_equal.
% 9.92/10.10 apply zenon_H154. apply sym_equal. exact zenon_H3a.
% 9.92/10.10 apply zenon_H10d. apply refl_equal.
% 9.92/10.10 apply zenon_H10d. apply refl_equal.
% 9.92/10.10 (* end of lemma zenon_L116_ *)
% 9.92/10.10 assert (zenon_L117_ : (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e0)) -> ((op (e2) (e2)) = (e0)) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H155 zenon_H101 zenon_Hb7.
% 9.92/10.10 cut (((op (e1) (e2)) = (e0)) = ((op (e1) (e2)) = (op (e2) (e2)))).
% 9.92/10.10 intro zenon_D_pnotp.
% 9.92/10.10 apply zenon_H155.
% 9.92/10.10 rewrite <- zenon_D_pnotp.
% 9.92/10.10 exact zenon_H101.
% 9.92/10.10 cut (((e0) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hca].
% 9.92/10.10 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H71].
% 9.92/10.10 congruence.
% 9.92/10.10 apply zenon_H71. apply refl_equal.
% 9.92/10.10 apply zenon_Hca. apply sym_equal. exact zenon_Hb7.
% 9.92/10.10 (* end of lemma zenon_L117_ *)
% 9.92/10.10 assert (zenon_L118_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> False).
% 9.92/10.10 do 0 intro. intros zenon_Hc5 zenon_H101 zenon_H155 zenon_H91 zenon_Hc7 zenon_Hc8.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ].
% 9.92/10.10 apply (zenon_L117_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H94 | zenon_intro zenon_Hcc ].
% 9.92/10.10 exact (zenon_H91 zenon_H94).
% 9.92/10.10 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H3a | zenon_intro zenon_Hcd ].
% 9.92/10.10 exact (zenon_Hc7 zenon_H3a).
% 9.92/10.10 exact (zenon_Hc8 zenon_Hcd).
% 9.92/10.10 (* end of lemma zenon_L118_ *)
% 9.92/10.10 assert (zenon_L119_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (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))) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H145 zenon_H2a zenon_H12f zenon_He8 zenon_Hc8 zenon_Hc7 zenon_H91 zenon_H155 zenon_Hc5 zenon_H7d zenon_H86 zenon_H7e zenon_H7f zenon_H80.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H69 | zenon_intro zenon_H146 ].
% 9.92/10.10 apply (zenon_L100_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Heb | zenon_intro zenon_H147 ].
% 9.92/10.10 exact (zenon_He8 zenon_Heb).
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H101 | zenon_intro zenon_H87 ].
% 9.92/10.10 apply (zenon_L118_); trivial.
% 9.92/10.10 apply (zenon_L26_); trivial.
% 9.92/10.10 (* end of lemma zenon_L119_ *)
% 9.92/10.10 assert (zenon_L120_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((op (e3) (e2)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((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))))) -> False).
% 9.92/10.10 do 0 intro. intros zenon_Hf8 zenon_H135 zenon_H95 zenon_H12f zenon_H2a zenon_He8 zenon_Hc5 zenon_Hc8 zenon_Hc7 zenon_H91 zenon_H155 zenon_H7d zenon_H80 zenon_H7e zenon_H86 zenon_H145.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 9.92/10.10 apply (zenon_L119_); trivial.
% 9.92/10.10 apply (zenon_L109_); trivial.
% 9.92/10.10 (* end of lemma zenon_L120_ *)
% 9.92/10.10 assert (zenon_L121_ : ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((op (e3) (e2)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (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))))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H150 zenon_Hbb zenon_Hf8 zenon_H135 zenon_H95 zenon_H12f zenon_H2a zenon_He8 zenon_Hc5 zenon_Hc8 zenon_Hc7 zenon_H91 zenon_H155 zenon_H7d zenon_H80 zenon_H86 zenon_H145 zenon_H14d zenon_H44 zenon_H53 zenon_H14a zenon_H151.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 9.92/10.10 apply (zenon_L120_); trivial.
% 9.92/10.10 apply (zenon_L114_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 9.92/10.10 apply (zenon_L120_); trivial.
% 9.92/10.10 apply (zenon_L41_); trivial.
% 9.92/10.10 (* end of lemma zenon_L121_ *)
% 9.92/10.10 assert (zenon_L122_ : ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (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 (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))))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H156 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_Hf8 zenon_H95 zenon_H12f zenon_H2a zenon_He8 zenon_H144 zenon_H135 zenon_H10b zenon_H3c zenon_Hc8 zenon_Hc5 zenon_H132 zenon_H7d zenon_H80 zenon_H86 zenon_H145 zenon_H14d zenon_H44 zenon_H53 zenon_H14a zenon_H151 zenon_H152 zenon_H158.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 9.92/10.10 apply (zenon_L115_); trivial.
% 9.92/10.10 apply (zenon_L116_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 9.92/10.10 apply (zenon_L121_); trivial.
% 9.92/10.10 apply (zenon_L116_); trivial.
% 9.92/10.10 apply (zenon_L79_); trivial.
% 9.92/10.10 (* end of lemma zenon_L122_ *)
% 9.92/10.10 assert (zenon_L123_ : (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (e2)) = (e1)) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H159 zenon_H15a zenon_H100.
% 9.92/10.10 cut (((op (e1) (e0)) = (e1)) = ((op (e1) (e0)) = (op (e1) (e2)))).
% 9.92/10.10 intro zenon_D_pnotp.
% 9.92/10.10 apply zenon_H159.
% 9.92/10.10 rewrite <- zenon_D_pnotp.
% 9.92/10.10 exact zenon_H15a.
% 9.92/10.10 cut (((e1) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H15b].
% 9.92/10.10 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H15c].
% 9.92/10.10 congruence.
% 9.92/10.10 apply zenon_H15c. apply refl_equal.
% 9.92/10.10 apply zenon_H15b. apply sym_equal. exact zenon_H100.
% 9.92/10.10 (* end of lemma zenon_L123_ *)
% 9.92/10.10 assert (zenon_L124_ : (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> ((op (e1) (e2)) = (e0)) -> ((op (e2) (e2)) = (e1)) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H144 zenon_H2a zenon_H132 zenon_H3c zenon_H10b zenon_H135 zenon_H101 zenon_H94.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H51 | zenon_intro zenon_H148 ].
% 9.92/10.10 apply (zenon_L101_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H5d | zenon_intro zenon_H149 ].
% 9.92/10.10 apply (zenon_L102_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H3b | zenon_intro zenon_H52 ].
% 9.92/10.10 apply (zenon_L104_); trivial.
% 9.92/10.10 apply (zenon_L107_); trivial.
% 9.92/10.10 (* end of lemma zenon_L124_ *)
% 9.92/10.10 assert (zenon_L125_ : (~((e1) = (e2))) -> ((op (e3) (e2)) = (e2)) -> ((op (e3) (e2)) = (e1)) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H35 zenon_H135 zenon_Hf3.
% 9.92/10.10 cut (((op (e3) (e2)) = (e2)) = ((e1) = (e2))).
% 9.92/10.10 intro zenon_D_pnotp.
% 9.92/10.10 apply zenon_H35.
% 9.92/10.10 rewrite <- zenon_D_pnotp.
% 9.92/10.10 exact zenon_H135.
% 9.92/10.10 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 9.92/10.10 cut (((op (e3) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hf4].
% 9.92/10.10 congruence.
% 9.92/10.10 exact (zenon_Hf4 zenon_Hf3).
% 9.92/10.10 apply zenon_H37. apply refl_equal.
% 9.92/10.10 (* end of lemma zenon_L125_ *)
% 9.92/10.10 assert (zenon_L126_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e2)) = (e2)) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H103 zenon_Hc8 zenon_Hc7 zenon_Hb1 zenon_Hc5 zenon_H15a zenon_H159 zenon_H101 zenon_H10b zenon_H3c zenon_H132 zenon_H2a zenon_H144 zenon_H35 zenon_H135.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H5d | zenon_intro zenon_H104 ].
% 9.92/10.10 apply (zenon_L103_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_H100 | zenon_intro zenon_H105 ].
% 9.92/10.10 apply (zenon_L123_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf3 ].
% 9.92/10.10 apply (zenon_L124_); trivial.
% 9.92/10.10 apply (zenon_L125_); trivial.
% 9.92/10.10 (* end of lemma zenon_L126_ *)
% 9.92/10.10 assert (zenon_L127_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e2))) -> ((op (e3) (e2)) = (e2)) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H108 zenon_H35 zenon_H144 zenon_H2a zenon_H132 zenon_H3c zenon_H10b zenon_H159 zenon_H15a zenon_Hc5 zenon_Hc7 zenon_Hc8 zenon_H103 zenon_Hb1 zenon_H44 zenon_H135.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H51 | zenon_intro zenon_H109 ].
% 9.92/10.10 apply (zenon_L101_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H101 | zenon_intro zenon_H10a ].
% 9.92/10.10 apply (zenon_L126_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H106 ].
% 9.92/10.10 exact (zenon_Hb1 zenon_Hb7).
% 9.92/10.10 apply (zenon_L113_); trivial.
% 9.92/10.10 (* end of lemma zenon_L127_ *)
% 9.92/10.10 assert (zenon_L128_ : (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e2) (e2)) = (e0)) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H3c zenon_H51 zenon_Hb7.
% 9.92/10.10 cut (((op (e0) (e2)) = (e0)) = ((op (e0) (e2)) = (op (e2) (e2)))).
% 9.92/10.10 intro zenon_D_pnotp.
% 9.92/10.10 apply zenon_H3c.
% 9.92/10.10 rewrite <- zenon_D_pnotp.
% 9.92/10.10 exact zenon_H51.
% 9.92/10.10 cut (((e0) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hca].
% 9.92/10.10 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H134].
% 9.92/10.10 congruence.
% 9.92/10.10 apply zenon_H134. apply refl_equal.
% 9.92/10.10 apply zenon_Hca. apply sym_equal. exact zenon_Hb7.
% 9.92/10.10 (* end of lemma zenon_L128_ *)
% 9.92/10.10 assert (zenon_L129_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> False).
% 9.92/10.10 do 0 intro. intros zenon_Hc5 zenon_H51 zenon_H3c zenon_H91 zenon_Hc7 zenon_Hc8.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ].
% 9.92/10.10 apply (zenon_L128_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H94 | zenon_intro zenon_Hcc ].
% 9.92/10.10 exact (zenon_H91 zenon_H94).
% 9.92/10.10 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H3a | zenon_intro zenon_Hcd ].
% 9.92/10.10 exact (zenon_Hc7 zenon_H3a).
% 9.92/10.10 exact (zenon_Hc8 zenon_Hcd).
% 9.92/10.10 (* end of lemma zenon_L129_ *)
% 9.92/10.10 assert (zenon_L130_ : ((op (e0) (e2)) = (e1)) -> ((op (e0) (e2)) = (e3)) -> (~((e1) = (e3))) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H5d zenon_H52 zenon_H4c.
% 9.92/10.10 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H4d | zenon_intro zenon_H4e ].
% 9.92/10.10 cut (((e3) = (e3)) = ((e1) = (e3))).
% 9.92/10.10 intro zenon_D_pnotp.
% 9.92/10.10 apply zenon_H4c.
% 9.92/10.10 rewrite <- zenon_D_pnotp.
% 9.92/10.10 exact zenon_H4d.
% 9.92/10.10 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 9.92/10.10 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4f].
% 9.92/10.10 congruence.
% 9.92/10.10 cut (((op (e0) (e2)) = (e1)) = ((e3) = (e1))).
% 9.92/10.10 intro zenon_D_pnotp.
% 9.92/10.10 apply zenon_H4f.
% 9.92/10.10 rewrite <- zenon_D_pnotp.
% 9.92/10.10 exact zenon_H5d.
% 9.92/10.10 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 9.92/10.10 cut (((op (e0) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H55].
% 9.92/10.10 congruence.
% 9.92/10.10 exact (zenon_H55 zenon_H52).
% 9.92/10.10 apply zenon_H33. apply refl_equal.
% 9.92/10.10 apply zenon_H4e. apply refl_equal.
% 9.92/10.10 apply zenon_H4e. apply refl_equal.
% 9.92/10.10 (* end of lemma zenon_L130_ *)
% 9.92/10.10 assert (zenon_L131_ : (~((op (op (e2) (e2)) (e2)) = (op (e0) (e2)))) -> ((op (e2) (e2)) = (e0)) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H15d zenon_Hb7.
% 9.92/10.10 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 9.92/10.10 cut (((op (e2) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Hb1].
% 9.92/10.10 congruence.
% 9.92/10.10 exact (zenon_Hb1 zenon_Hb7).
% 9.92/10.10 apply zenon_H37. apply refl_equal.
% 9.92/10.10 (* end of lemma zenon_L131_ *)
% 9.92/10.10 assert (zenon_L132_ : ((op (e0) (e2)) = (e1)) -> ((op (e2) (e2)) = (e0)) -> (~((e1) = (op (op (e2) (e2)) (e2)))) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H5d zenon_Hb7 zenon_H15e.
% 9.92/10.10 elim (classic ((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [ zenon_intro zenon_H138 | zenon_intro zenon_H139 ].
% 9.92/10.10 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2))) = ((e1) = (op (op (e2) (e2)) (e2)))).
% 9.92/10.10 intro zenon_D_pnotp.
% 9.92/10.10 apply zenon_H15e.
% 9.92/10.10 rewrite <- zenon_D_pnotp.
% 9.92/10.10 exact zenon_H138.
% 9.92/10.10 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H139].
% 9.92/10.10 cut (((op (op (e2) (e2)) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H15f].
% 9.92/10.10 congruence.
% 9.92/10.10 cut (((op (e0) (e2)) = (e1)) = ((op (op (e2) (e2)) (e2)) = (e1))).
% 9.92/10.10 intro zenon_D_pnotp.
% 9.92/10.10 apply zenon_H15f.
% 9.92/10.10 rewrite <- zenon_D_pnotp.
% 9.92/10.10 exact zenon_H5d.
% 9.92/10.10 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 9.92/10.10 cut (((op (e0) (e2)) = (op (op (e2) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H160].
% 9.92/10.10 congruence.
% 9.92/10.10 elim (classic ((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [ zenon_intro zenon_H138 | zenon_intro zenon_H139 ].
% 9.92/10.10 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2))) = ((op (e0) (e2)) = (op (op (e2) (e2)) (e2)))).
% 9.92/10.10 intro zenon_D_pnotp.
% 9.92/10.10 apply zenon_H160.
% 9.92/10.10 rewrite <- zenon_D_pnotp.
% 9.92/10.10 exact zenon_H138.
% 9.92/10.10 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H139].
% 9.92/10.10 cut (((op (op (e2) (e2)) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H15d].
% 9.92/10.10 congruence.
% 9.92/10.10 apply (zenon_L131_); trivial.
% 9.92/10.10 apply zenon_H139. apply refl_equal.
% 9.92/10.10 apply zenon_H139. apply refl_equal.
% 9.92/10.10 apply zenon_H33. apply refl_equal.
% 9.92/10.10 apply zenon_H139. apply refl_equal.
% 9.92/10.10 apply zenon_H139. apply refl_equal.
% 9.92/10.10 (* end of lemma zenon_L132_ *)
% 9.92/10.10 assert (zenon_L133_ : ((op (e1) (e2)) = (e3)) -> ((op (e0) (e2)) = (e1)) -> ((op (e2) (e2)) = (e0)) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H161 zenon_H5d zenon_Hb7.
% 9.92/10.10 apply (zenon_notand_s _ _ ax10); [ zenon_intro zenon_Hca | zenon_intro zenon_H162 ].
% 9.92/10.10 apply zenon_Hca. apply sym_equal. exact zenon_Hb7.
% 9.92/10.10 apply (zenon_notand_s _ _ zenon_H162); [ zenon_intro zenon_H13d | zenon_intro zenon_H15e ].
% 9.92/10.10 elim (classic ((op (op (op (e2) (e2)) (e2)) (e2)) = (op (op (op (e2) (e2)) (e2)) (e2)))); [ zenon_intro zenon_H13e | zenon_intro zenon_H13f ].
% 9.92/10.10 cut (((op (op (op (e2) (e2)) (e2)) (e2)) = (op (op (op (e2) (e2)) (e2)) (e2))) = ((e3) = (op (op (op (e2) (e2)) (e2)) (e2)))).
% 9.92/10.10 intro zenon_D_pnotp.
% 9.92/10.10 apply zenon_H13d.
% 9.92/10.10 rewrite <- zenon_D_pnotp.
% 9.92/10.10 exact zenon_H13e.
% 9.92/10.10 cut (((op (op (op (e2) (e2)) (e2)) (e2)) = (op (op (op (e2) (e2)) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H13f].
% 9.92/10.10 cut (((op (op (op (e2) (e2)) (e2)) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H140].
% 9.92/10.10 congruence.
% 9.92/10.10 cut (((op (e1) (e2)) = (e3)) = ((op (op (op (e2) (e2)) (e2)) (e2)) = (e3))).
% 9.92/10.10 intro zenon_D_pnotp.
% 9.92/10.10 apply zenon_H140.
% 9.92/10.10 rewrite <- zenon_D_pnotp.
% 9.92/10.10 exact zenon_H161.
% 9.92/10.10 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 9.92/10.10 cut (((op (e1) (e2)) = (op (op (op (e2) (e2)) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H163].
% 9.92/10.10 congruence.
% 9.92/10.10 elim (classic ((op (op (op (e2) (e2)) (e2)) (e2)) = (op (op (op (e2) (e2)) (e2)) (e2)))); [ zenon_intro zenon_H13e | zenon_intro zenon_H13f ].
% 9.92/10.10 cut (((op (op (op (e2) (e2)) (e2)) (e2)) = (op (op (op (e2) (e2)) (e2)) (e2))) = ((op (e1) (e2)) = (op (op (op (e2) (e2)) (e2)) (e2)))).
% 9.92/10.10 intro zenon_D_pnotp.
% 9.92/10.10 apply zenon_H163.
% 9.92/10.10 rewrite <- zenon_D_pnotp.
% 9.92/10.10 exact zenon_H13e.
% 9.92/10.10 cut (((op (op (op (e2) (e2)) (e2)) (e2)) = (op (op (op (e2) (e2)) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H13f].
% 9.92/10.10 cut (((op (op (op (e2) (e2)) (e2)) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H164].
% 9.92/10.10 congruence.
% 9.92/10.10 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 9.92/10.10 cut (((op (op (e2) (e2)) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H15f].
% 9.92/10.10 congruence.
% 9.92/10.10 cut (((op (e0) (e2)) = (e1)) = ((op (op (e2) (e2)) (e2)) = (e1))).
% 9.92/10.10 intro zenon_D_pnotp.
% 9.92/10.10 apply zenon_H15f.
% 9.92/10.10 rewrite <- zenon_D_pnotp.
% 9.92/10.10 exact zenon_H5d.
% 9.92/10.10 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 9.92/10.10 cut (((op (e0) (e2)) = (op (op (e2) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H160].
% 9.92/10.10 congruence.
% 9.92/10.10 elim (classic ((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [ zenon_intro zenon_H138 | zenon_intro zenon_H139 ].
% 9.92/10.10 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2))) = ((op (e0) (e2)) = (op (op (e2) (e2)) (e2)))).
% 9.92/10.10 intro zenon_D_pnotp.
% 9.92/10.10 apply zenon_H160.
% 9.92/10.10 rewrite <- zenon_D_pnotp.
% 9.92/10.10 exact zenon_H138.
% 9.92/10.10 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H139].
% 9.92/10.10 cut (((op (op (e2) (e2)) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H15d].
% 9.92/10.10 congruence.
% 9.92/10.10 apply (zenon_L131_); trivial.
% 9.92/10.10 apply zenon_H139. apply refl_equal.
% 9.92/10.10 apply zenon_H139. apply refl_equal.
% 9.92/10.10 apply zenon_H33. apply refl_equal.
% 9.92/10.10 apply zenon_H37. apply refl_equal.
% 9.92/10.10 apply zenon_H13f. apply refl_equal.
% 9.92/10.10 apply zenon_H13f. apply refl_equal.
% 9.92/10.10 apply zenon_H4e. apply refl_equal.
% 9.92/10.10 apply zenon_H13f. apply refl_equal.
% 9.92/10.10 apply zenon_H13f. apply refl_equal.
% 9.92/10.10 apply (zenon_L132_); trivial.
% 9.92/10.10 (* end of lemma zenon_L133_ *)
% 9.92/10.10 assert (zenon_L134_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e2)) = (e0)) -> ((op (e0) (e2)) = (e1)) -> (~((op (e2) (e2)) = (e3))) -> ((op (e3) (e2)) = (e2)) -> (~((e2) = (e3))) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H165 zenon_H4c zenon_Hb7 zenon_H5d zenon_Hc8 zenon_H135 zenon_H95.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H52 | zenon_intro zenon_H166 ].
% 9.92/10.10 apply (zenon_L130_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H161 | zenon_intro zenon_H167 ].
% 9.92/10.10 apply (zenon_L133_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hed ].
% 9.92/10.10 exact (zenon_Hc8 zenon_Hcd).
% 9.92/10.10 apply (zenon_L109_); trivial.
% 9.92/10.10 (* end of lemma zenon_L134_ *)
% 9.92/10.10 assert (zenon_L135_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e2) (e2)) = (e0)) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e2))) -> ((op (e3) (e2)) = (e2)) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H103 zenon_H95 zenon_Hc8 zenon_Hb7 zenon_H4c zenon_H165 zenon_H15a zenon_H159 zenon_H91 zenon_H35 zenon_H135.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H5d | zenon_intro zenon_H104 ].
% 9.92/10.10 apply (zenon_L134_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_H100 | zenon_intro zenon_H105 ].
% 9.92/10.10 apply (zenon_L123_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf3 ].
% 9.92/10.10 exact (zenon_H91 zenon_H94).
% 9.92/10.10 apply (zenon_L125_); trivial.
% 9.92/10.10 (* end of lemma zenon_L135_ *)
% 9.92/10.10 assert (zenon_L136_ : (((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)) = (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 (e2) (e2)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e2))) -> ((op (e3) (e2)) = (e2)) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H108 zenon_H3c zenon_Hc7 zenon_H155 zenon_Hc5 zenon_H35 zenon_H91 zenon_H159 zenon_H15a zenon_H165 zenon_H4c zenon_Hc8 zenon_H95 zenon_H103 zenon_H44 zenon_H135.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H51 | zenon_intro zenon_H109 ].
% 9.92/10.10 apply (zenon_L129_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H101 | zenon_intro zenon_H10a ].
% 9.92/10.10 apply (zenon_L118_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H106 ].
% 9.92/10.10 apply (zenon_L135_); trivial.
% 9.92/10.10 apply (zenon_L113_); trivial.
% 9.92/10.10 (* end of lemma zenon_L136_ *)
% 9.92/10.10 assert (zenon_L137_ : ((~((op (e2) (e2)) = (e2)))\/((op (e2) (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) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e2)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H158 zenon_H152 zenon_Hc5 zenon_Hc8 zenon_H91 zenon_H3c zenon_H155 zenon_H103 zenon_H35 zenon_H15a zenon_H159 zenon_H4c zenon_H95 zenon_H135 zenon_H165 zenon_H44 zenon_H108.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 9.92/10.10 apply (zenon_L136_); trivial.
% 9.92/10.10 apply (zenon_L116_); trivial.
% 9.92/10.10 (* end of lemma zenon_L137_ *)
% 9.92/10.10 assert (zenon_L138_ : ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((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))))) -> (~((e1) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> (((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 (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)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e2) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H168 zenon_H103 zenon_H35 zenon_H159 zenon_H108 zenon_H165 zenon_H4c zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H53 zenon_H44 zenon_H14d zenon_H145 zenon_H86 zenon_H80 zenon_H7d zenon_H132 zenon_Hc5 zenon_Hc8 zenon_H3c zenon_H10b zenon_H135 zenon_H144 zenon_H2a zenon_H12f zenon_H95 zenon_Hf8 zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 9.92/10.10 apply (zenon_L122_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 9.92/10.10 apply (zenon_L127_); trivial.
% 9.92/10.10 apply (zenon_L116_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 9.92/10.10 apply (zenon_L137_); trivial.
% 9.92/10.10 apply (zenon_L79_); trivial.
% 9.92/10.10 (* end of lemma zenon_L138_ *)
% 9.92/10.10 assert (zenon_L139_ : (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> ((op (e3) (e0)) = (e1)) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H4c zenon_Hbc zenon_Hf0.
% 9.92/10.10 cut (((op (e3) (e0)) = (e3)) = ((e1) = (e3))).
% 9.92/10.10 intro zenon_D_pnotp.
% 9.92/10.10 apply zenon_H4c.
% 9.92/10.10 rewrite <- zenon_D_pnotp.
% 9.92/10.10 exact zenon_Hbc.
% 9.92/10.10 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 9.92/10.10 cut (((op (e3) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hf1].
% 9.92/10.10 congruence.
% 9.92/10.10 exact (zenon_Hf1 zenon_Hf0).
% 9.92/10.10 apply zenon_H4e. apply refl_equal.
% 9.92/10.10 (* end of lemma zenon_L139_ *)
% 9.92/10.10 assert (zenon_L140_ : (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e3) (e1)) = (e1)) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H169 zenon_H1d zenon_Hf2.
% 9.92/10.10 cut (((op (e1) (e1)) = (e1)) = ((op (e1) (e1)) = (op (e3) (e1)))).
% 9.92/10.10 intro zenon_D_pnotp.
% 9.92/10.10 apply zenon_H169.
% 9.92/10.10 rewrite <- zenon_D_pnotp.
% 9.92/10.10 exact zenon_H1d.
% 9.92/10.10 cut (((e1) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H16a].
% 9.92/10.10 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H21].
% 9.92/10.10 congruence.
% 9.92/10.10 apply zenon_H21. apply refl_equal.
% 9.92/10.10 apply zenon_H16a. apply sym_equal. exact zenon_Hf2.
% 9.92/10.10 (* end of lemma zenon_L140_ *)
% 9.92/10.10 assert (zenon_L141_ : (((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 (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e1)) -> False).
% 9.92/10.10 do 0 intro. intros zenon_Hf5 zenon_H5e zenon_He4 zenon_H1d zenon_H169 zenon_H135 zenon_H35 zenon_H7a zenon_H62.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hf6 ].
% 9.92/10.10 apply (zenon_L62_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hf7 ].
% 9.92/10.10 apply (zenon_L140_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H83 ].
% 9.92/10.10 apply (zenon_L125_); trivial.
% 9.92/10.10 apply (zenon_L86_); trivial.
% 9.92/10.10 (* end of lemma zenon_L141_ *)
% 9.92/10.10 assert (zenon_L142_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((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 (e3) (e1)) = (e3)) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H14d zenon_H62 zenon_H7a zenon_H35 zenon_H169 zenon_H1d zenon_H5e zenon_Hf5 zenon_Hbd zenon_H53 zenon_H135 zenon_H44 zenon_H8d.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_He4 | zenon_intro zenon_H14e ].
% 9.92/10.10 apply (zenon_L141_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_He5 | zenon_intro zenon_H14f ].
% 9.92/10.10 apply (zenon_L112_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H106 | zenon_intro zenon_H7b ].
% 9.92/10.10 apply (zenon_L113_); trivial.
% 9.92/10.10 exact (zenon_H8d zenon_H7b).
% 9.92/10.10 (* end of lemma zenon_L142_ *)
% 9.92/10.10 assert (zenon_L143_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e2)) = (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)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((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 (e3) (e1)) = (e3)) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H64 zenon_H56 zenon_H1f zenon_Hc8 zenon_Hc7 zenon_H3c zenon_Hb1 zenon_Hc5 zenon_H14d zenon_H7a zenon_H35 zenon_H169 zenon_H1d zenon_H5e zenon_Hf5 zenon_Hbd zenon_H53 zenon_H135 zenon_H44 zenon_H8d.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 9.92/10.10 exact (zenon_H56 zenon_H2c).
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 9.92/10.10 apply (zenon_L1_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 9.92/10.10 apply (zenon_L103_); trivial.
% 9.92/10.10 apply (zenon_L142_); trivial.
% 9.92/10.10 (* end of lemma zenon_L143_ *)
% 9.92/10.10 assert (zenon_L144_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (~((e0) = (e2))) -> (~((e0) = (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)))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (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)) = (e0))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e3)) = (e3))) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H16b zenon_Hf0 zenon_H4c zenon_H8d zenon_H44 zenon_H53 zenon_Hf5 zenon_H5e zenon_H1d zenon_H169 zenon_H35 zenon_H7a zenon_H14d zenon_Hc5 zenon_Hb1 zenon_H3c zenon_Hc7 zenon_Hc8 zenon_H1f zenon_H56 zenon_H64 zenon_H95 zenon_H135 zenon_H80.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Hbc | zenon_intro zenon_H16c ].
% 9.92/10.10 apply (zenon_L139_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_Hbd | zenon_intro zenon_H16d ].
% 9.92/10.10 apply (zenon_L143_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hed | zenon_intro zenon_H84 ].
% 9.92/10.10 apply (zenon_L109_); trivial.
% 9.92/10.10 exact (zenon_H80 zenon_H84).
% 9.92/10.10 (* end of lemma zenon_L144_ *)
% 9.92/10.10 assert (zenon_L145_ : (((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).
% 9.92/10.10 do 0 intro. intros zenon_Hf5 zenon_Hbc zenon_H4c zenon_H1d zenon_H169 zenon_H135 zenon_H35 zenon_H7e.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hf6 ].
% 9.92/10.10 apply (zenon_L139_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hf7 ].
% 9.92/10.10 apply (zenon_L140_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H83 ].
% 9.92/10.10 apply (zenon_L125_); trivial.
% 9.92/10.10 exact (zenon_H7e zenon_H83).
% 9.92/10.10 (* end of lemma zenon_L145_ *)
% 9.92/10.10 assert (zenon_L146_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((e1) = (e2))) -> ((op (e3) (e2)) = (e2)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H151 zenon_Hbb zenon_H4c zenon_Hbc zenon_H169 zenon_H1d zenon_H35 zenon_H135 zenon_Hf5.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 9.92/10.10 apply (zenon_L145_); trivial.
% 9.92/10.10 apply (zenon_L41_); trivial.
% 9.92/10.10 (* end of lemma zenon_L146_ *)
% 9.92/10.10 assert (zenon_L147_ : ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e1) = (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))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e1))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> (~((e2) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H150 zenon_Hbb zenon_H4c zenon_H64 zenon_Hf5 zenon_H7a zenon_H135 zenon_H35 zenon_H169 zenon_H5e zenon_H53 zenon_H44 zenon_H14d zenon_Hb1 zenon_H3c zenon_Hc7 zenon_Hc8 zenon_Hc5 zenon_H1d zenon_H1f zenon_H56 zenon_H95 zenon_H80 zenon_H16b zenon_H151.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 9.92/10.10 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hf6 ].
% 9.92/10.10 apply (zenon_L144_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hf7 ].
% 9.92/10.10 apply (zenon_L140_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H83 ].
% 9.92/10.10 apply (zenon_L125_); trivial.
% 9.92/10.10 exact (zenon_H7e zenon_H83).
% 9.92/10.10 apply (zenon_L143_); trivial.
% 9.92/10.10 apply (zenon_L146_); trivial.
% 9.92/10.10 (* end of lemma zenon_L147_ *)
% 9.92/10.10 assert (zenon_L148_ : ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H158 zenon_H152 zenon_H151 zenon_H16b zenon_H80 zenon_H95 zenon_H56 zenon_H1f zenon_H1d zenon_Hc5 zenon_Hc8 zenon_H3c zenon_Hb1 zenon_H14d zenon_H44 zenon_H53 zenon_H5e zenon_H169 zenon_H35 zenon_H135 zenon_H7a zenon_Hf5 zenon_H64 zenon_H4c zenon_Hbb zenon_H150.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 9.92/10.10 apply (zenon_L147_); trivial.
% 9.92/10.10 apply (zenon_L116_); trivial.
% 9.92/10.10 (* end of lemma zenon_L148_ *)
% 9.92/10.10 assert (zenon_L149_ : (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> ((op (e1) (e2)) = (e1)) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H16e zenon_H1d zenon_H100.
% 9.92/10.10 cut (((op (e1) (e1)) = (e1)) = ((op (e1) (e1)) = (op (e1) (e2)))).
% 9.92/10.10 intro zenon_D_pnotp.
% 9.92/10.10 apply zenon_H16e.
% 9.92/10.10 rewrite <- zenon_D_pnotp.
% 9.92/10.10 exact zenon_H1d.
% 9.92/10.10 cut (((e1) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H15b].
% 9.92/10.10 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H21].
% 9.92/10.10 congruence.
% 9.92/10.10 apply zenon_H21. apply refl_equal.
% 9.92/10.10 apply zenon_H15b. apply sym_equal. exact zenon_H100.
% 9.92/10.10 (* end of lemma zenon_L149_ *)
% 9.92/10.10 assert (zenon_L150_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e2) (e2)) = (e0)) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e2))) -> ((op (e3) (e2)) = (e2)) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H103 zenon_H95 zenon_Hc8 zenon_Hb7 zenon_H4c zenon_H165 zenon_H1d zenon_H16e zenon_H91 zenon_H35 zenon_H135.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H5d | zenon_intro zenon_H104 ].
% 9.92/10.10 apply (zenon_L134_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_H100 | zenon_intro zenon_H105 ].
% 9.92/10.10 apply (zenon_L149_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf3 ].
% 9.92/10.10 exact (zenon_H91 zenon_H94).
% 9.92/10.10 apply (zenon_L125_); trivial.
% 9.92/10.10 (* end of lemma zenon_L150_ *)
% 9.92/10.10 assert (zenon_L151_ : (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> ((op (e1) (e2)) = (e0)) -> ((op (e2) (e2)) = (e1)) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H144 zenon_H68 zenon_Hfd zenon_H3c zenon_H10b zenon_H135 zenon_H101 zenon_H94.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H51 | zenon_intro zenon_H148 ].
% 9.92/10.10 apply (zenon_L69_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H5d | zenon_intro zenon_H149 ].
% 9.92/10.10 apply (zenon_L102_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H3b | zenon_intro zenon_H52 ].
% 9.92/10.10 apply (zenon_L104_); trivial.
% 9.92/10.10 apply (zenon_L107_); trivial.
% 9.92/10.10 (* end of lemma zenon_L151_ *)
% 9.92/10.10 assert (zenon_L152_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e2)) = (e2)) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H103 zenon_Hc8 zenon_Hc7 zenon_Hb1 zenon_Hc5 zenon_H1d zenon_H16e zenon_H101 zenon_H10b zenon_H3c zenon_Hfd zenon_H68 zenon_H144 zenon_H35 zenon_H135.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H5d | zenon_intro zenon_H104 ].
% 9.92/10.10 apply (zenon_L103_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_H100 | zenon_intro zenon_H105 ].
% 9.92/10.10 apply (zenon_L149_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf3 ].
% 9.92/10.10 apply (zenon_L151_); trivial.
% 9.92/10.10 apply (zenon_L125_); trivial.
% 9.92/10.10 (* end of lemma zenon_L152_ *)
% 9.92/10.10 assert (zenon_L153_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e2))) -> ((op (e3) (e2)) = (e2)) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H108 zenon_H35 zenon_H144 zenon_H68 zenon_Hfd zenon_H3c zenon_H10b zenon_H16e zenon_H1d zenon_Hc5 zenon_Hc7 zenon_Hc8 zenon_H103 zenon_Hb1 zenon_H44 zenon_H135.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H51 | zenon_intro zenon_H109 ].
% 9.92/10.10 apply (zenon_L69_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H101 | zenon_intro zenon_H10a ].
% 9.92/10.10 apply (zenon_L152_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H106 ].
% 9.92/10.10 exact (zenon_Hb1 zenon_Hb7).
% 9.92/10.10 apply (zenon_L113_); trivial.
% 9.92/10.10 (* end of lemma zenon_L153_ *)
% 9.92/10.10 assert (zenon_L154_ : ((op (e3) (e0)) = (e3)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> False).
% 9.92/10.10 do 0 intro. intros zenon_Hbc zenon_H6c zenon_H16f.
% 9.92/10.10 elim (classic ((op (e3) (e0)) = (op (e3) (e0)))); [ zenon_intro zenon_H170 | zenon_intro zenon_Hbf ].
% 9.92/10.10 cut (((op (e3) (e0)) = (op (e3) (e0))) = ((op (e1) (e0)) = (op (e3) (e0)))).
% 9.92/10.10 intro zenon_D_pnotp.
% 9.92/10.10 apply zenon_H16f.
% 9.92/10.10 rewrite <- zenon_D_pnotp.
% 9.92/10.10 exact zenon_H170.
% 9.92/10.10 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hbf].
% 9.92/10.10 cut (((op (e3) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H171].
% 9.92/10.10 congruence.
% 9.92/10.10 cut (((op (e3) (e0)) = (e3)) = ((op (e3) (e0)) = (op (e1) (e0)))).
% 9.92/10.10 intro zenon_D_pnotp.
% 9.92/10.10 apply zenon_H171.
% 9.92/10.10 rewrite <- zenon_D_pnotp.
% 9.92/10.10 exact zenon_Hbc.
% 9.92/10.10 cut (((e3) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H172].
% 9.92/10.10 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hbf].
% 9.92/10.10 congruence.
% 9.92/10.10 apply zenon_Hbf. apply refl_equal.
% 9.92/10.10 apply zenon_H172. apply sym_equal. exact zenon_H6c.
% 9.92/10.10 apply zenon_Hbf. apply refl_equal.
% 9.92/10.10 apply zenon_Hbf. apply refl_equal.
% 9.92/10.10 (* end of lemma zenon_L154_ *)
% 9.92/10.10 assert (zenon_L155_ : ((op (e2) (e0)) = (e2)) -> ((op (e2) (e0)) = (e3)) -> (~((e2) = (e3))) -> False).
% 9.92/10.10 do 0 intro. intros zenon_Hcf zenon_H74 zenon_H95.
% 9.92/10.10 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H4d | zenon_intro zenon_H4e ].
% 9.92/10.10 cut (((e3) = (e3)) = ((e2) = (e3))).
% 9.92/10.10 intro zenon_D_pnotp.
% 9.92/10.10 apply zenon_H95.
% 9.92/10.10 rewrite <- zenon_D_pnotp.
% 9.92/10.10 exact zenon_H4d.
% 9.92/10.10 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 9.92/10.10 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H96].
% 9.92/10.10 congruence.
% 9.92/10.10 cut (((op (e2) (e0)) = (e2)) = ((e3) = (e2))).
% 9.92/10.10 intro zenon_D_pnotp.
% 9.92/10.10 apply zenon_H96.
% 9.92/10.10 rewrite <- zenon_D_pnotp.
% 9.92/10.10 exact zenon_Hcf.
% 9.92/10.10 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 9.92/10.10 cut (((op (e2) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H75].
% 9.92/10.10 congruence.
% 9.92/10.10 exact (zenon_H75 zenon_H74).
% 9.92/10.10 apply zenon_H37. apply refl_equal.
% 9.92/10.10 apply zenon_H4e. apply refl_equal.
% 9.92/10.10 apply zenon_H4e. apply refl_equal.
% 9.92/10.10 (* end of lemma zenon_L155_ *)
% 9.92/10.10 assert (zenon_L156_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e3) (e2)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H151 zenon_H28 zenon_H16b zenon_H80 zenon_H135 zenon_H95 zenon_Hd3 zenon_H68 zenon_H110 zenon_H1d zenon_H112 zenon_Hcf zenon_H114 zenon_H118 zenon_H16f zenon_Hf5 zenon_H35 zenon_H169 zenon_H4c zenon_Hda.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 9.92/10.10 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdb ].
% 9.92/10.10 exact (zenon_H28 zenon_H31).
% 9.92/10.10 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H6c | zenon_intro zenon_Hdc ].
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Hbc | zenon_intro zenon_H16c ].
% 9.92/10.10 apply (zenon_L154_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_Hbd | zenon_intro zenon_H16d ].
% 9.92/10.10 apply (zenon_L81_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hed | zenon_intro zenon_H84 ].
% 9.92/10.10 apply (zenon_L109_); trivial.
% 9.92/10.10 exact (zenon_H80 zenon_H84).
% 9.92/10.10 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H74 | zenon_intro zenon_Hbc ].
% 9.92/10.10 apply (zenon_L155_); trivial.
% 9.92/10.10 apply (zenon_L145_); trivial.
% 9.92/10.10 apply (zenon_L81_); trivial.
% 9.92/10.10 (* end of lemma zenon_L156_ *)
% 9.92/10.10 assert (zenon_L157_ : ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((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 (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e2) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H156 zenon_Hda zenon_H4c zenon_H169 zenon_Hf5 zenon_H16f zenon_H118 zenon_H114 zenon_H112 zenon_H110 zenon_Hd3 zenon_H95 zenon_H80 zenon_H16b zenon_H28 zenon_H151 zenon_H108 zenon_H44 zenon_Hc5 zenon_Hc8 zenon_H3c zenon_H16e zenon_H1d zenon_H144 zenon_H135 zenon_H10b zenon_H35 zenon_H103 zenon_H68 zenon_Hfd zenon_H152 zenon_H158.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 9.92/10.10 apply (zenon_L153_); trivial.
% 9.92/10.10 apply (zenon_L116_); trivial.
% 9.92/10.10 apply (zenon_L156_); trivial.
% 9.92/10.10 (* end of lemma zenon_L157_ *)
% 9.92/10.10 assert (zenon_L158_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (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 (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e1) = (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))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e1))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e3)) = (e3))) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H173 zenon_Hf8 zenon_H12f zenon_H132 zenon_H7d zenon_H86 zenon_H145 zenon_H14a zenon_H159 zenon_H168 zenon_H156 zenon_H155 zenon_H103 zenon_H16e zenon_H165 zenon_H108 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_H4c zenon_H64 zenon_Hf5 zenon_H7a zenon_H35 zenon_H169 zenon_H5e zenon_H53 zenon_H44 zenon_H14d zenon_H3c zenon_Hc8 zenon_Hc5 zenon_H1f zenon_H95 zenon_H16b zenon_H151 zenon_H158 zenon_Hda zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_H28 zenon_H144 zenon_H10b zenon_Hfd zenon_H174 zenon_H152 zenon_H135 zenon_H80.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 9.92/10.10 apply (zenon_L138_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 9.92/10.10 apply (zenon_L148_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H51 | zenon_intro zenon_H109 ].
% 9.92/10.10 apply (zenon_L129_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H101 | zenon_intro zenon_H10a ].
% 9.92/10.10 apply (zenon_L118_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H106 ].
% 9.92/10.10 apply (zenon_L150_); trivial.
% 9.92/10.10 apply (zenon_L113_); trivial.
% 9.92/10.10 apply (zenon_L116_); trivial.
% 9.92/10.10 apply (zenon_L79_); trivial.
% 9.92/10.10 apply (zenon_L157_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 9.92/10.10 apply (zenon_L116_); trivial.
% 9.92/10.10 exact (zenon_H80 zenon_H84).
% 9.92/10.10 (* end of lemma zenon_L158_ *)
% 9.92/10.10 assert (zenon_L159_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (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)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H177 zenon_He4 zenon_Hbd zenon_H80 zenon_H152 zenon_H174 zenon_Hfd zenon_H10b zenon_H144 zenon_H28 zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hda zenon_H158 zenon_H151 zenon_H16b zenon_H95 zenon_H1f zenon_Hc5 zenon_Hc8 zenon_H3c zenon_H14d zenon_H44 zenon_H53 zenon_H5e zenon_H169 zenon_H35 zenon_H7a zenon_Hf5 zenon_H64 zenon_H4c zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H108 zenon_H165 zenon_H16e zenon_H103 zenon_H155 zenon_H156 zenon_H168 zenon_H159 zenon_H14a zenon_H145 zenon_H86 zenon_H7d zenon_H132 zenon_H12f zenon_Hf8 zenon_H173 zenon_H7f.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H178 ].
% 9.92/10.10 apply (zenon_L99_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H179 ].
% 9.92/10.10 apply (zenon_L50_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H135 | zenon_intro zenon_H85 ].
% 9.92/10.10 apply (zenon_L158_); trivial.
% 9.92/10.10 exact (zenon_H7f zenon_H85).
% 9.92/10.10 (* end of lemma zenon_L159_ *)
% 9.92/10.10 assert (zenon_L160_ : (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (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))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e0) = (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)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (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 (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))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((e1) = (e3))) -> (((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 (e1) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> False).
% 9.92/10.10 do 0 intro. intros zenon_Hec zenon_H44 zenon_He4 zenon_H95 zenon_Hbd zenon_H173 zenon_H16e zenon_H64 zenon_Hf5 zenon_H7a zenon_H169 zenon_H5e zenon_H1f zenon_H16b zenon_Hda zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_H28 zenon_Hfd zenon_H174 zenon_H156 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_Hf8 zenon_H12f zenon_H144 zenon_H10b zenon_H3c zenon_Hc8 zenon_Hc5 zenon_H132 zenon_H7d zenon_H80 zenon_H86 zenon_H145 zenon_H14d zenon_H53 zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H4c zenon_H165 zenon_H108 zenon_H159 zenon_H35 zenon_H103 zenon_H168 zenon_H177.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 9.92/10.10 apply (zenon_L159_); trivial.
% 9.92/10.10 apply (zenon_L60_); trivial.
% 9.92/10.10 (* end of lemma zenon_L160_ *)
% 9.92/10.10 assert (zenon_L161_ : ((op (e3) (e3)) = (e3)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H84 zenon_Hbd zenon_H17a.
% 9.92/10.10 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hfa ].
% 9.92/10.10 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e3) (e1)) = (op (e3) (e3)))).
% 9.92/10.10 intro zenon_D_pnotp.
% 9.92/10.10 apply zenon_H17a.
% 9.92/10.10 rewrite <- zenon_D_pnotp.
% 9.92/10.10 exact zenon_Hf9.
% 9.92/10.10 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hfa].
% 9.92/10.10 cut (((op (e3) (e3)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H17b].
% 9.92/10.10 congruence.
% 9.92/10.10 cut (((op (e3) (e3)) = (e3)) = ((op (e3) (e3)) = (op (e3) (e1)))).
% 9.92/10.10 intro zenon_D_pnotp.
% 9.92/10.10 apply zenon_H17b.
% 9.92/10.10 rewrite <- zenon_D_pnotp.
% 9.92/10.10 exact zenon_H84.
% 9.92/10.10 cut (((e3) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hbe].
% 9.92/10.10 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hfa].
% 9.92/10.10 congruence.
% 9.92/10.10 apply zenon_Hfa. apply refl_equal.
% 9.92/10.10 apply zenon_Hbe. apply sym_equal. exact zenon_Hbd.
% 9.92/10.10 apply zenon_Hfa. apply refl_equal.
% 9.92/10.10 apply zenon_Hfa. apply refl_equal.
% 9.92/10.10 (* end of lemma zenon_L161_ *)
% 9.92/10.10 assert (zenon_L162_ : ((op (e2) (e3)) = (e2)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 9.92/10.10 do 0 intro. intros zenon_Hd0 zenon_H9b zenon_H17c.
% 9.92/10.10 elim (classic ((op (e2) (e3)) = (op (e2) (e3)))); [ zenon_intro zenon_H17d | zenon_intro zenon_H17e ].
% 9.92/10.10 cut (((op (e2) (e3)) = (op (e2) (e3))) = ((op (e1) (e3)) = (op (e2) (e3)))).
% 9.92/10.10 intro zenon_D_pnotp.
% 9.92/10.10 apply zenon_H17c.
% 9.92/10.10 rewrite <- zenon_D_pnotp.
% 9.92/10.10 exact zenon_H17d.
% 9.92/10.10 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H17e].
% 9.92/10.10 cut (((op (e2) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H17f].
% 9.92/10.10 congruence.
% 9.92/10.10 cut (((op (e2) (e3)) = (e2)) = ((op (e2) (e3)) = (op (e1) (e3)))).
% 9.92/10.10 intro zenon_D_pnotp.
% 9.92/10.10 apply zenon_H17f.
% 9.92/10.10 rewrite <- zenon_D_pnotp.
% 9.92/10.10 exact zenon_Hd0.
% 9.92/10.10 cut (((e2) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H180].
% 9.92/10.10 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H17e].
% 9.92/10.10 congruence.
% 9.92/10.10 apply zenon_H17e. apply refl_equal.
% 9.92/10.10 apply zenon_H180. apply sym_equal. exact zenon_H9b.
% 9.92/10.10 apply zenon_H17e. apply refl_equal.
% 9.92/10.10 apply zenon_H17e. apply refl_equal.
% 9.92/10.10 (* end of lemma zenon_L162_ *)
% 9.92/10.10 assert (zenon_L163_ : ((op (e2) (e3)) = (e2)) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 9.92/10.10 do 0 intro. intros zenon_Hd0 zenon_H47 zenon_H181.
% 9.92/10.10 elim (classic ((op (e2) (e3)) = (op (e2) (e3)))); [ zenon_intro zenon_H17d | zenon_intro zenon_H17e ].
% 9.92/10.10 cut (((op (e2) (e3)) = (op (e2) (e3))) = ((op (e0) (e3)) = (op (e2) (e3)))).
% 9.92/10.10 intro zenon_D_pnotp.
% 9.92/10.10 apply zenon_H181.
% 9.92/10.10 rewrite <- zenon_D_pnotp.
% 9.92/10.10 exact zenon_H17d.
% 9.92/10.10 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H17e].
% 9.92/10.10 cut (((op (e2) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H182].
% 9.92/10.10 congruence.
% 9.92/10.10 cut (((op (e2) (e3)) = (e2)) = ((op (e2) (e3)) = (op (e0) (e3)))).
% 9.92/10.10 intro zenon_D_pnotp.
% 9.92/10.10 apply zenon_H182.
% 9.92/10.10 rewrite <- zenon_D_pnotp.
% 9.92/10.10 exact zenon_Hd0.
% 9.92/10.10 cut (((e2) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H183].
% 9.92/10.10 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H17e].
% 9.92/10.10 congruence.
% 9.92/10.10 apply zenon_H17e. apply refl_equal.
% 9.92/10.10 apply zenon_H183. apply sym_equal. exact zenon_H47.
% 9.92/10.10 apply zenon_H17e. apply refl_equal.
% 9.92/10.10 apply zenon_H17e. apply refl_equal.
% 9.92/10.10 (* end of lemma zenon_L163_ *)
% 9.92/10.10 assert (zenon_L164_ : (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e2) (e3)) = (e2)) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H184 zenon_Hb8 zenon_Hd0.
% 9.92/10.10 cut (((op (e2) (e1)) = (e2)) = ((op (e2) (e1)) = (op (e2) (e3)))).
% 9.92/10.10 intro zenon_D_pnotp.
% 9.92/10.10 apply zenon_H184.
% 9.92/10.10 rewrite <- zenon_D_pnotp.
% 9.92/10.10 exact zenon_Hb8.
% 9.92/10.10 cut (((e2) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hd1].
% 9.92/10.10 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H185].
% 9.92/10.10 congruence.
% 9.92/10.10 apply zenon_H185. apply refl_equal.
% 9.92/10.10 apply zenon_Hd1. apply sym_equal. exact zenon_Hd0.
% 9.92/10.10 (* end of lemma zenon_L164_ *)
% 9.92/10.10 assert (zenon_L165_ : ((op (e2) (e0)) = (e0)) -> ((op (e2) (e0)) = (e1)) -> (~((e0) = (e1))) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H73 zenon_H76 zenon_H5e.
% 9.92/10.10 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H5f | zenon_intro zenon_H33 ].
% 9.92/10.10 cut (((e1) = (e1)) = ((e0) = (e1))).
% 9.92/10.10 intro zenon_D_pnotp.
% 9.92/10.10 apply zenon_H5e.
% 9.92/10.10 rewrite <- zenon_D_pnotp.
% 9.92/10.10 exact zenon_H5f.
% 9.92/10.10 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 9.92/10.10 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 9.92/10.10 congruence.
% 9.92/10.10 cut (((op (e2) (e0)) = (e0)) = ((e1) = (e0))).
% 9.92/10.10 intro zenon_D_pnotp.
% 9.92/10.10 apply zenon_H60.
% 9.92/10.10 rewrite <- zenon_D_pnotp.
% 9.92/10.10 exact zenon_H73.
% 9.92/10.10 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H41].
% 9.92/10.10 cut (((op (e2) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hd5].
% 9.92/10.10 congruence.
% 9.92/10.10 exact (zenon_Hd5 zenon_H76).
% 9.92/10.10 apply zenon_H41. apply refl_equal.
% 9.92/10.10 apply zenon_H33. apply refl_equal.
% 9.92/10.10 apply zenon_H33. apply refl_equal.
% 9.92/10.10 (* end of lemma zenon_L165_ *)
% 9.92/10.10 assert (zenon_L166_ : (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e3)) = (e1)) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H17c zenon_H9a zenon_H8a.
% 9.92/10.10 cut (((op (e1) (e3)) = (e1)) = ((op (e1) (e3)) = (op (e2) (e3)))).
% 9.92/10.10 intro zenon_D_pnotp.
% 9.92/10.10 apply zenon_H17c.
% 9.92/10.10 rewrite <- zenon_D_pnotp.
% 9.92/10.10 exact zenon_H9a.
% 9.92/10.10 cut (((e1) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H186].
% 9.92/10.10 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H88].
% 9.92/10.10 congruence.
% 9.92/10.10 apply zenon_H88. apply refl_equal.
% 9.92/10.10 apply zenon_H186. apply sym_equal. exact zenon_H8a.
% 9.92/10.10 (* end of lemma zenon_L166_ *)
% 9.92/10.10 assert (zenon_L167_ : (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> ((op (e1) (e3)) = (e3)) -> False).
% 9.92/10.10 do 0 intro. intros zenon_H187 zenon_H57 zenon_H188.
% 9.92/10.10 cut (((op (e0) (e3)) = (e3)) = ((op (e0) (e3)) = (op (e1) (e3)))).
% 9.92/10.10 intro zenon_D_pnotp.
% 9.92/10.10 apply zenon_H187.
% 9.92/10.10 rewrite <- zenon_D_pnotp.
% 9.92/10.10 exact zenon_H57.
% 9.92/10.10 cut (((e3) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H189].
% 9.92/10.10 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H5a].
% 9.92/10.10 congruence.
% 9.92/10.10 apply zenon_H5a. apply refl_equal.
% 9.92/10.10 apply zenon_H189. apply sym_equal. exact zenon_H188.
% 9.92/10.10 (* end of lemma zenon_L167_ *)
% 9.92/10.10 assert (zenon_L168_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (((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)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e2)) -> False).
% 9.92/10.10 do 0 intro. intros zenon_Hc0 zenon_H53 zenon_H68 zenon_Hc1 zenon_H57 zenon_H187 zenon_Hd0 zenon_H17c zenon_H86 zenon_H18a zenon_H5e zenon_H7d zenon_H7e zenon_H7f zenon_H80 zenon_H7a zenon_H8c zenon_H91 zenon_H4c zenon_H73 zenon_H90 zenon_H95 zenon_Hd6.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H4b | zenon_intro zenon_Hc2 ].
% 9.92/10.10 apply (zenon_L30_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc3 ].
% 9.92/10.10 exact (zenon_Hc1 zenon_Hc4).
% 9.92/10.10 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hbd ].
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H76 | zenon_intro zenon_H92 ].
% 9.92/10.10 apply (zenon_L165_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H77 | zenon_intro zenon_H93 ].
% 9.92/10.10 apply (zenon_L48_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H94 | zenon_intro zenon_H8a ].
% 9.92/10.10 exact (zenon_H91 zenon_H94).
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H43 | zenon_intro zenon_H8e ].
% 9.92/10.10 apply (zenon_L24_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H87 | zenon_intro zenon_H8f ].
% 9.92/10.10 apply (zenon_L26_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H7b ].
% 9.92/10.10 apply (zenon_L27_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H87 | zenon_intro zenon_H18b ].
% 9.92/10.10 apply (zenon_L25_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H9a | zenon_intro zenon_H18c ].
% 9.92/10.10 apply (zenon_L166_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H9b | zenon_intro zenon_H188 ].
% 9.92/10.10 apply (zenon_L162_); trivial.
% 9.92/10.10 apply (zenon_L167_); trivial.
% 9.92/10.10 apply (zenon_L50_); trivial.
% 9.92/10.10 (* end of lemma zenon_L168_ *)
% 9.92/10.10 assert (zenon_L169_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e0)) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((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) = (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) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (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) (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).
% 9.92/10.10 do 0 intro. intros zenon_H42 zenon_H27 zenon_H95 zenon_H90 zenon_H73 zenon_H4c zenon_H91 zenon_H8c zenon_H7a zenon_H80 zenon_H7f zenon_H7e zenon_H7d zenon_H5e zenon_H18a zenon_H86 zenon_H17c zenon_H187 zenon_Hc1 zenon_H68 zenon_H53 zenon_Hc0 zenon_H184 zenon_Haf zenon_H44 zenon_Hde zenon_H28 zenon_H97 zenon_Hd0 zenon_H181.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 9.92/10.10 exact (zenon_H27 zenon_H32).
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 9.92/10.10 apply (zenon_L16_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H31 | zenon_intro zenon_H98 ].
% 9.92/10.10 exact (zenon_H28 zenon_H31).
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ].
% 9.92/10.10 apply (zenon_L30_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H52 | zenon_intro zenon_H57 ].
% 9.92/10.10 apply (zenon_L32_); trivial.
% 9.92/10.10 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H34 | zenon_intro zenon_He1 ].
% 9.94/10.11 apply (zenon_L16_); trivial.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_Hb4 | zenon_intro zenon_He2 ].
% 9.94/10.11 exact (zenon_Haf zenon_Hb4).
% 9.94/10.11 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ].
% 9.94/10.11 apply (zenon_L164_); trivial.
% 9.94/10.11 apply (zenon_L168_); trivial.
% 9.94/10.11 apply (zenon_L163_); trivial.
% 9.94/10.11 (* end of lemma zenon_L169_ *)
% 9.94/10.11 assert (zenon_L170_ : (((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)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 9.94/10.11 do 0 intro. intros zenon_H97 zenon_H28 zenon_H53 zenon_H68 zenon_H95 zenon_H3b zenon_H84 zenon_H7a.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H31 | zenon_intro zenon_H98 ].
% 9.94/10.11 exact (zenon_H28 zenon_H31).
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ].
% 9.94/10.11 apply (zenon_L30_); trivial.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H52 | zenon_intro zenon_H57 ].
% 9.94/10.11 apply (zenon_L32_); trivial.
% 9.94/10.11 apply (zenon_L68_); trivial.
% 9.94/10.11 (* end of lemma zenon_L170_ *)
% 9.94/10.11 assert (zenon_L171_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((e2) = (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 (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 9.94/10.11 do 0 intro. intros zenon_H42 zenon_H27 zenon_H44 zenon_H7a zenon_H84 zenon_H95 zenon_H68 zenon_H53 zenon_H28 zenon_H97 zenon_Hd0 zenon_H181.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 9.94/10.11 exact (zenon_H27 zenon_H32).
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 9.94/10.11 apply (zenon_L16_); trivial.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 9.94/10.11 apply (zenon_L170_); trivial.
% 9.94/10.11 apply (zenon_L163_); trivial.
% 9.94/10.11 (* end of lemma zenon_L171_ *)
% 9.94/10.11 assert (zenon_L172_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (((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))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (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)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> False).
% 9.94/10.11 do 0 intro. intros zenon_Hd2 zenon_H27 zenon_H44 zenon_H68 zenon_H97 zenon_H84 zenon_H7a zenon_H95 zenon_H53 zenon_H28 zenon_H181 zenon_H42 zenon_Hc6 zenon_H73 zenon_H91 zenon_Hc7 zenon_Hc5.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 9.94/10.11 apply (zenon_L43_); trivial.
% 9.94/10.11 apply (zenon_L171_); trivial.
% 9.94/10.11 (* end of lemma zenon_L172_ *)
% 9.94/10.11 assert (zenon_L173_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 9.94/10.11 do 0 intro. intros zenon_Hc0 zenon_H53 zenon_H68 zenon_Hc1 zenon_H95 zenon_Hb8 zenon_H84 zenon_H17a.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H4b | zenon_intro zenon_Hc2 ].
% 9.94/10.11 apply (zenon_L30_); trivial.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc3 ].
% 9.94/10.11 exact (zenon_Hc1 zenon_Hc4).
% 9.94/10.11 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hbd ].
% 9.94/10.11 apply (zenon_L40_); trivial.
% 9.94/10.11 apply (zenon_L161_); trivial.
% 9.94/10.11 (* end of lemma zenon_L173_ *)
% 9.94/10.11 assert (zenon_L174_ : ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((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)) = (e3))) -> (~((e0) = (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 (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> False).
% 9.94/10.11 do 0 intro. intros zenon_H157 zenon_Hc1 zenon_H17a zenon_Hc0 zenon_Hc5 zenon_Hc7 zenon_H73 zenon_Hc6 zenon_H42 zenon_H181 zenon_H28 zenon_H53 zenon_H95 zenon_H7a zenon_H84 zenon_H97 zenon_H68 zenon_H44 zenon_H27 zenon_Hd2.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 9.94/10.11 apply (zenon_L172_); trivial.
% 9.94/10.11 apply (zenon_L173_); trivial.
% 9.94/10.11 (* end of lemma zenon_L174_ *)
% 9.94/10.11 assert (zenon_L175_ : ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((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 (e2) (e0)) = (e0)) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((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) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> False).
% 9.94/10.11 do 0 intro. intros zenon_H18d zenon_Hd2 zenon_Hc6 zenon_Hc7 zenon_Hc5 zenon_H17a zenon_H157 zenon_H27 zenon_H44 zenon_H68 zenon_H97 zenon_Haf zenon_H184 zenon_Hd0 zenon_Hc0 zenon_H5e zenon_H73 zenon_H4c zenon_H91 zenon_H8c zenon_H17c zenon_H187 zenon_H18a zenon_H86 zenon_H7a zenon_H7e zenon_H7f zenon_H7d zenon_H90 zenon_Hc1 zenon_Hde zenon_H95 zenon_H53 zenon_H28 zenon_H181 zenon_H42.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 9.94/10.11 apply (zenon_L169_); trivial.
% 9.94/10.11 apply (zenon_L174_); trivial.
% 9.94/10.11 (* end of lemma zenon_L175_ *)
% 9.94/10.11 assert (zenon_L176_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((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)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (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 (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 (e1) (e1)) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (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 (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 9.94/10.11 do 0 intro. intros zenon_H151 zenon_H25 zenon_H42 zenon_H181 zenon_Haf zenon_H6f zenon_H17c zenon_Hd0 zenon_Hae zenon_H68 zenon_H44 zenon_H27 zenon_H18d zenon_Hd2 zenon_Hc6 zenon_Hc7 zenon_Hc5 zenon_H17a zenon_H157 zenon_H97 zenon_H184 zenon_Hc0 zenon_H5e zenon_H4c zenon_H91 zenon_H8c zenon_H187 zenon_H18a zenon_H86 zenon_H7a zenon_H7d zenon_H90 zenon_Hc1 zenon_Hde zenon_H95 zenon_H53 zenon_H28 zenon_He3 zenon_H18e zenon_H10b zenon_Hfd zenon_H103 zenon_H35 zenon_Hb1 zenon_H108 zenon_Hf8.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 9.94/10.11 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 9.94/10.11 exact (zenon_H25 zenon_H2a).
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 9.94/10.11 exact (zenon_H27 zenon_H32).
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 9.94/10.11 apply (zenon_L16_); trivial.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 9.94/10.11 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6a | zenon_intro zenon_Hb2 ].
% 9.94/10.11 apply (zenon_L17_); trivial.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb3 ].
% 9.94/10.11 exact (zenon_Haf zenon_Hb4).
% 9.94/10.11 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H6e | zenon_intro zenon_H9b ].
% 9.94/10.11 apply (zenon_L19_); trivial.
% 9.94/10.11 apply (zenon_L162_); trivial.
% 9.94/10.11 apply (zenon_L163_); trivial.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 9.94/10.11 apply (zenon_L175_); trivial.
% 9.94/10.11 apply (zenon_L56_); trivial.
% 9.94/10.11 apply (zenon_L171_); trivial.
% 9.94/10.11 apply (zenon_L77_); trivial.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H34 | zenon_intro zenon_He1 ].
% 9.94/10.11 apply (zenon_L16_); trivial.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_Hb4 | zenon_intro zenon_He2 ].
% 9.94/10.11 exact (zenon_Haf zenon_Hb4).
% 9.94/10.11 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ].
% 9.94/10.11 apply (zenon_L164_); trivial.
% 9.94/10.11 apply (zenon_L50_); trivial.
% 9.94/10.11 (* end of lemma zenon_L176_ *)
% 9.94/10.11 assert (zenon_L177_ : (((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 (e1) (e3)) = (op (e2) (e3)))) -> (~((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)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (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 (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 (e1) (e1)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (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 (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)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e1) (e1)) = (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)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e3)) = (e3)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e0))) -> ((~((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 (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (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 (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (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)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (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 (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 (e1) (e1)) = (e1)) -> (~((op (e2) (e0)) = (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 (e3) (e1)) = (op (e3) (e3)))) -> False).
% 9.94/10.11 do 0 intro. intros zenon_H18a zenon_H187 zenon_H184 zenon_H17c zenon_H181 zenon_H108 zenon_H103 zenon_Hfd zenon_H10b zenon_H18e zenon_He3 zenon_Hf5 zenon_He7 zenon_He8 zenon_Hec zenon_Hf8 zenon_H27 zenon_H44 zenon_H68 zenon_Hdd zenon_H28 zenon_H53 zenon_Hae zenon_H90 zenon_H7d zenon_H7a zenon_H86 zenon_H8d zenon_H8c zenon_H91 zenon_H5e zenon_H4c zenon_Hb1 zenon_Hab zenon_H35 zenon_H95 zenon_H97 zenon_Hb0 zenon_H6f zenon_Haf zenon_Hde zenon_Hd3 zenon_Hc5 zenon_Hc7 zenon_Hc6 zenon_Hce zenon_Hd2 zenon_Hc1 zenon_Hbb zenon_Hc0 zenon_Hda zenon_H57 zenon_H42 zenon_H25 zenon_H18d zenon_H177 zenon_H168 zenon_H159 zenon_H165 zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H14d zenon_H145 zenon_H132 zenon_H3c zenon_H144 zenon_H12f zenon_H150 zenon_H157 zenon_H155 zenon_H156 zenon_H174 zenon_H16f zenon_H16b zenon_H1f zenon_H169 zenon_H64 zenon_H16e zenon_H173 zenon_H11d zenon_H128 zenon_H11b zenon_H12c zenon_H110 zenon_H1d zenon_H112 zenon_H114 zenon_H118 zenon_H17a.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 9.94/10.11 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 9.94/10.11 exact (zenon_H25 zenon_H2a).
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 9.94/10.11 exact (zenon_H27 zenon_H32).
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 9.94/10.11 apply (zenon_L16_); trivial.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 9.94/10.11 apply (zenon_L53_); trivial.
% 9.94/10.11 apply (zenon_L54_); trivial.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 9.94/10.11 apply (zenon_L43_); trivial.
% 9.94/10.11 apply (zenon_L67_); trivial.
% 9.94/10.11 apply (zenon_L68_); trivial.
% 9.94/10.11 apply (zenon_L77_); trivial.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 9.94/10.11 exact (zenon_H25 zenon_H2a).
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 9.94/10.11 exact (zenon_H27 zenon_H32).
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 9.94/10.11 apply (zenon_L16_); trivial.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 9.94/10.11 apply (zenon_L84_); trivial.
% 9.94/10.11 apply (zenon_L54_); trivial.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 9.94/10.11 apply (zenon_L98_); trivial.
% 9.94/10.11 apply (zenon_L160_); trivial.
% 9.94/10.11 apply (zenon_L161_); trivial.
% 9.94/10.11 apply (zenon_L60_); trivial.
% 9.94/10.11 apply (zenon_L176_); trivial.
% 9.94/10.11 (* end of lemma zenon_L177_ *)
% 9.94/10.11 assert (zenon_L178_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e0) (e3)) = (e3)) -> (~((e2) = (e3))) -> False).
% 9.94/10.11 do 0 intro. intros zenon_H42 zenon_H27 zenon_H44 zenon_H68 zenon_H3c zenon_H3a zenon_H57 zenon_H95.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 9.94/10.11 exact (zenon_H27 zenon_H32).
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 9.94/10.11 apply (zenon_L16_); trivial.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 9.94/10.11 apply (zenon_L5_); trivial.
% 9.94/10.11 apply (zenon_L54_); trivial.
% 9.94/10.11 (* end of lemma zenon_L178_ *)
% 9.94/10.11 assert (zenon_L179_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e0) (e2)) = (op (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)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (~((e2) = (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))))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> False).
% 9.94/10.11 do 0 intro. intros zenon_Hae zenon_H69 zenon_Haf zenon_H6f zenon_Hb0 zenon_H74 zenon_Hb8 zenon_H44 zenon_Hb1 zenon_Hab zenon_H4c zenon_H3b zenon_H95 zenon_H68 zenon_H53 zenon_H28 zenon_H97 zenon_H35 zenon_H5e.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6a | zenon_intro zenon_Hb2 ].
% 9.94/10.11 apply (zenon_L17_); trivial.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb3 ].
% 9.94/10.11 exact (zenon_Haf zenon_Hb4).
% 9.94/10.11 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H6e | zenon_intro zenon_H9b ].
% 9.94/10.11 apply (zenon_L19_); trivial.
% 9.94/10.11 apply (zenon_L82_); trivial.
% 9.94/10.11 (* end of lemma zenon_L179_ *)
% 9.94/10.11 assert (zenon_L180_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e1))) -> (~((e1) = (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)) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (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).
% 9.94/10.11 do 0 intro. intros zenon_Hda zenon_H5e zenon_H35 zenon_H97 zenon_H28 zenon_H53 zenon_H68 zenon_H3b zenon_H4c zenon_Hab zenon_Hb1 zenon_H44 zenon_Hb8 zenon_Hb0 zenon_H6f zenon_Haf zenon_H69 zenon_Hae zenon_H95 zenon_Hd8.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdb ].
% 9.94/10.11 exact (zenon_H28 zenon_H31).
% 9.94/10.11 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H6c | zenon_intro zenon_Hdc ].
% 9.94/10.11 apply (zenon_L18_); trivial.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H74 | zenon_intro zenon_Hbc ].
% 9.94/10.11 apply (zenon_L179_); trivial.
% 9.94/10.11 apply (zenon_L51_); trivial.
% 9.94/10.11 (* end of lemma zenon_L180_ *)
% 9.94/10.11 assert (zenon_L181_ : (((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) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e1))) -> (~((e1) = (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)) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e2) = (e3))) -> False).
% 9.94/10.11 do 0 intro. intros zenon_Hdd zenon_H27 zenon_H112 zenon_Hda zenon_H5e zenon_H35 zenon_H97 zenon_H28 zenon_H53 zenon_H68 zenon_H3b zenon_H4c zenon_Hab zenon_Hb1 zenon_H44 zenon_Hb8 zenon_Hb0 zenon_H6f zenon_Haf zenon_H69 zenon_Hae zenon_H95.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hdf ].
% 9.94/10.11 exact (zenon_H27 zenon_H32).
% 9.94/10.11 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H6a | zenon_intro zenon_He0 ].
% 9.94/10.11 apply (zenon_L17_); trivial.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd8 ].
% 9.94/10.11 apply (zenon_L79_); trivial.
% 9.94/10.11 apply (zenon_L180_); trivial.
% 9.94/10.11 (* end of lemma zenon_L181_ *)
% 9.94/10.11 assert (zenon_L182_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (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)) = (e0)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (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 (e3) (e3)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 9.94/10.11 do 0 intro. intros zenon_Hc0 zenon_Hc1 zenon_Hb8 zenon_H12c zenon_H73 zenon_H114 zenon_Hc8 zenon_H8c zenon_H68 zenon_H11b zenon_H7f zenon_H95 zenon_H44 zenon_H128 zenon_H4c zenon_H11d zenon_H1d zenon_H7d zenon_H7a zenon_H80 zenon_Hab zenon_H53 zenon_H8d.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H4b | zenon_intro zenon_Hc2 ].
% 9.94/10.11 apply (zenon_L30_); trivial.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc3 ].
% 9.94/10.11 exact (zenon_Hc1 zenon_Hc4).
% 9.94/10.11 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hbd ].
% 9.94/10.11 apply (zenon_L40_); trivial.
% 9.94/10.11 apply (zenon_L98_); trivial.
% 9.94/10.11 (* end of lemma zenon_L182_ *)
% 9.94/10.11 assert (zenon_L183_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> False).
% 9.94/10.11 do 0 intro. intros zenon_Hc0 zenon_H53 zenon_H68 zenon_Hc1 zenon_H95 zenon_Hb8 zenon_Hec zenon_Hed.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H4b | zenon_intro zenon_Hc2 ].
% 9.94/10.11 apply (zenon_L30_); trivial.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc3 ].
% 9.94/10.11 exact (zenon_Hc1 zenon_Hc4).
% 9.94/10.11 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hbd ].
% 9.94/10.11 apply (zenon_L40_); trivial.
% 9.94/10.11 apply (zenon_L60_); trivial.
% 9.94/10.11 (* end of lemma zenon_L183_ *)
% 9.94/10.11 assert (zenon_L184_ : ((op (e0) (e1)) = (e2)) -> ((op (e0) (e1)) = (e3)) -> (~((e2) = (e3))) -> False).
% 9.94/10.11 do 0 intro. intros zenon_H34 zenon_H4b zenon_H95.
% 9.94/10.11 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H4d | zenon_intro zenon_H4e ].
% 9.94/10.11 cut (((e3) = (e3)) = ((e2) = (e3))).
% 9.94/10.11 intro zenon_D_pnotp.
% 9.94/10.11 apply zenon_H95.
% 9.94/10.11 rewrite <- zenon_D_pnotp.
% 9.94/10.11 exact zenon_H4d.
% 9.94/10.11 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 9.94/10.11 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H96].
% 9.94/10.11 congruence.
% 9.94/10.11 cut (((op (e0) (e1)) = (e2)) = ((e3) = (e2))).
% 9.94/10.11 intro zenon_D_pnotp.
% 9.94/10.11 apply zenon_H96.
% 9.94/10.11 rewrite <- zenon_D_pnotp.
% 9.94/10.11 exact zenon_H34.
% 9.94/10.11 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 9.94/10.11 cut (((op (e0) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H50].
% 9.94/10.11 congruence.
% 9.94/10.11 exact (zenon_H50 zenon_H4b).
% 9.94/10.11 apply zenon_H37. apply refl_equal.
% 9.94/10.11 apply zenon_H4e. apply refl_equal.
% 9.94/10.11 apply zenon_H4e. apply refl_equal.
% 9.94/10.11 (* end of lemma zenon_L184_ *)
% 9.94/10.11 assert (zenon_L185_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (e0))) -> (~((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)) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((e0) = (e3))) -> False).
% 9.94/10.11 do 0 intro. intros zenon_He7 zenon_He8 zenon_H44 zenon_Hc0 zenon_H34 zenon_Hc1 zenon_H95 zenon_Hb8 zenon_H53.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H68 | zenon_intro zenon_He9 ].
% 9.94/10.11 apply (zenon_L16_); trivial.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Heb | zenon_intro zenon_Hea ].
% 9.94/10.11 exact (zenon_He8 zenon_Heb).
% 9.94/10.11 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H78 | zenon_intro zenon_He5 ].
% 9.94/10.11 apply (zenon_L57_); trivial.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H4b | zenon_intro zenon_Hc2 ].
% 9.94/10.11 apply (zenon_L184_); trivial.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc3 ].
% 9.94/10.11 exact (zenon_Hc1 zenon_Hc4).
% 9.94/10.11 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hbd ].
% 9.94/10.11 apply (zenon_L40_); trivial.
% 9.94/10.11 apply (zenon_L112_); trivial.
% 9.94/10.11 (* end of lemma zenon_L185_ *)
% 9.94/10.11 assert (zenon_L186_ : ((~((op (e3) (e3)) = (e2)))\/((op (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)) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((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 (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> False).
% 9.94/10.11 do 0 intro. intros zenon_Hf8 zenon_He7 zenon_Hbb zenon_Hb8 zenon_H44 zenon_He8 zenon_H53 zenon_Hc1 zenon_H95 zenon_Hec zenon_Hc0 zenon_He3 zenon_He4 zenon_H7e zenon_H80 zenon_H7d.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 9.94/10.11 apply (zenon_L56_); trivial.
% 9.94/10.11 apply (zenon_L61_); trivial.
% 9.94/10.11 (* end of lemma zenon_L186_ *)
% 9.94/10.11 assert (zenon_L187_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((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))))) -> (~((e1) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (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 (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (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 (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((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 (e1) (e1)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 9.94/10.11 do 0 intro. intros zenon_H177 zenon_H168 zenon_H103 zenon_H35 zenon_H159 zenon_H108 zenon_H165 zenon_H4c zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H14d zenon_H145 zenon_H86 zenon_H132 zenon_Hc5 zenon_Hc8 zenon_H3c zenon_H10b zenon_H144 zenon_H12f zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H174 zenon_Hfd zenon_H28 zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hda zenon_H16b zenon_H1f zenon_H5e zenon_H169 zenon_H7a zenon_Hf5 zenon_H64 zenon_H16e zenon_H173 zenon_H7d zenon_H80 zenon_He4 zenon_He3 zenon_Hc0 zenon_Hec zenon_H95 zenon_Hc1 zenon_H53 zenon_He8 zenon_H44 zenon_Hb8 zenon_Hbb zenon_He7 zenon_Hf8.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 9.94/10.11 apply (zenon_L186_); trivial.
% 9.94/10.11 apply (zenon_L160_); trivial.
% 9.94/10.11 (* end of lemma zenon_L187_ *)
% 9.94/10.11 assert (zenon_L188_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (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)) = (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)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (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) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (~((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)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((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) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e0) (e3)) = (e3)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((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)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (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)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (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)) = (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)))) -> False).
% 9.94/10.11 do 0 intro. intros zenon_Hd2 zenon_H184 zenon_H18e zenon_He3 zenon_Hde zenon_Hf5 zenon_He7 zenon_Hbb zenon_He8 zenon_Hec zenon_Hf8 zenon_Hc1 zenon_H12c zenon_H11b zenon_H128 zenon_H1d zenon_H11d zenon_H8d zenon_H7a zenon_H7d zenon_H8c zenon_H114 zenon_Hc0 zenon_H27 zenon_H44 zenon_H68 zenon_Hdd zenon_H28 zenon_H53 zenon_Hae zenon_Hb1 zenon_Hab zenon_H5e zenon_H35 zenon_H95 zenon_H4c zenon_H97 zenon_Hb0 zenon_H6f zenon_Haf zenon_Hda zenon_Hb8 zenon_H112 zenon_H57 zenon_H42 zenon_H25 zenon_H18d zenon_H173 zenon_H16e zenon_H64 zenon_H169 zenon_H1f zenon_H16b zenon_H16f zenon_Hfd zenon_H174 zenon_H156 zenon_H155 zenon_H157 zenon_H150 zenon_H12f zenon_H144 zenon_H10b zenon_H3c zenon_Hc5 zenon_H132 zenon_H86 zenon_H145 zenon_H14d zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H165 zenon_H108 zenon_H159 zenon_H103 zenon_H168 zenon_H177 zenon_Hd3 zenon_H110 zenon_H118 zenon_H17a.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 9.94/10.11 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 9.94/10.11 exact (zenon_H25 zenon_H2a).
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 9.94/10.11 exact (zenon_H27 zenon_H32).
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 9.94/10.11 apply (zenon_L16_); trivial.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 9.94/10.11 apply (zenon_L181_); trivial.
% 9.94/10.11 apply (zenon_L54_); trivial.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 9.94/10.11 apply (zenon_L182_); trivial.
% 9.94/10.11 apply (zenon_L67_); trivial.
% 9.94/10.11 apply (zenon_L68_); trivial.
% 9.94/10.11 apply (zenon_L183_); trivial.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 9.94/10.11 exact (zenon_H25 zenon_H2a).
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 9.94/10.11 exact (zenon_H27 zenon_H32).
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 9.94/10.11 apply (zenon_L185_); trivial.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 9.94/10.11 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hdf ].
% 9.94/10.11 exact (zenon_H27 zenon_H32).
% 9.94/10.11 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H6a | zenon_intro zenon_He0 ].
% 9.94/10.11 apply (zenon_L17_); trivial.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd8 ].
% 9.94/10.11 apply (zenon_L81_); trivial.
% 9.94/10.11 apply (zenon_L180_); trivial.
% 9.94/10.11 apply (zenon_L54_); trivial.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 9.94/10.11 apply (zenon_L98_); trivial.
% 9.94/10.11 apply (zenon_L187_); trivial.
% 9.94/10.11 apply (zenon_L161_); trivial.
% 9.94/10.11 apply (zenon_L60_); trivial.
% 9.94/10.11 apply (zenon_L164_); trivial.
% 9.94/10.11 (* end of lemma zenon_L188_ *)
% 9.94/10.11 assert (zenon_L189_ : (((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 (e1) (e3)) = (op (e2) (e3)))) -> (~((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)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (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 (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 (e1) (e1)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (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 (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)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e1) (e1)) = (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)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e3)) = (e3)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e0))) -> ((~((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 (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (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 (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (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)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (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 (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 (e1) (e1)) = (e1)) -> (~((op (e2) (e0)) = (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 (e3) (e1)) = (op (e3) (e3)))) -> False).
% 9.94/10.11 do 0 intro. intros zenon_H18a zenon_H187 zenon_H184 zenon_H17c zenon_H181 zenon_H108 zenon_H103 zenon_Hfd zenon_H10b zenon_H18e zenon_He3 zenon_Hf5 zenon_He7 zenon_He8 zenon_Hec zenon_Hf8 zenon_H27 zenon_H44 zenon_H68 zenon_Hdd zenon_H28 zenon_H53 zenon_Hae zenon_H90 zenon_H7d zenon_H7a zenon_H86 zenon_H8d zenon_H8c zenon_H5e zenon_H4c zenon_Hb1 zenon_Hab zenon_H35 zenon_H95 zenon_H97 zenon_Hb0 zenon_H6f zenon_Haf zenon_Hde zenon_Hd3 zenon_Hc5 zenon_Hc6 zenon_Hce zenon_Hd2 zenon_Hc1 zenon_Hbb zenon_Hc0 zenon_Hda zenon_H57 zenon_H42 zenon_H25 zenon_H18d zenon_H177 zenon_H168 zenon_H159 zenon_H165 zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H14d zenon_H145 zenon_H132 zenon_H3c zenon_H144 zenon_H12f zenon_H150 zenon_H157 zenon_H155 zenon_H156 zenon_H174 zenon_H16f zenon_H16b zenon_H1f zenon_H169 zenon_H64 zenon_H16e zenon_H173 zenon_H11d zenon_H128 zenon_H11b zenon_H12c zenon_H110 zenon_H1d zenon_H112 zenon_H114 zenon_H118 zenon_H17a.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 9.94/10.11 apply (zenon_L177_); trivial.
% 9.94/10.11 apply (zenon_L178_); trivial.
% 9.94/10.11 apply (zenon_L188_); trivial.
% 9.94/10.11 (* end of lemma zenon_L189_ *)
% 9.94/10.11 assert (zenon_L190_ : (((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).
% 9.94/10.11 do 0 intro. intros zenon_H191 zenon_He8 zenon_H192 zenon_Haf zenon_Hc1.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Heb | zenon_intro zenon_H193 ].
% 9.94/10.11 exact (zenon_He8 zenon_Heb).
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H1d | zenon_intro zenon_H194 ].
% 9.94/10.11 exact (zenon_H192 zenon_H1d).
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hc4 ].
% 9.94/10.11 exact (zenon_Haf zenon_Hb4).
% 9.94/10.11 exact (zenon_Hc1 zenon_Hc4).
% 9.94/10.11 (* end of lemma zenon_L190_ *)
% 9.94/10.11 assert (zenon_L191_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> False).
% 9.94/10.11 do 0 intro. intros zenon_H191 zenon_H69 zenon_H195 zenon_H192 zenon_Haf zenon_Hc1.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Heb | zenon_intro zenon_H193 ].
% 9.94/10.11 cut (((op (e1) (e0)) = (e0)) = ((op (e1) (e0)) = (op (e1) (e1)))).
% 9.94/10.11 intro zenon_D_pnotp.
% 9.94/10.11 apply zenon_H195.
% 9.94/10.11 rewrite <- zenon_D_pnotp.
% 9.94/10.11 exact zenon_H69.
% 9.94/10.11 cut (((e0) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H196].
% 9.94/10.11 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H15c].
% 9.94/10.11 congruence.
% 9.94/10.11 apply zenon_H15c. apply refl_equal.
% 9.94/10.11 apply zenon_H196. apply sym_equal. exact zenon_Heb.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H1d | zenon_intro zenon_H194 ].
% 9.94/10.11 exact (zenon_H192 zenon_H1d).
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hc4 ].
% 9.94/10.11 exact (zenon_Haf zenon_Hb4).
% 9.94/10.11 exact (zenon_Hc1 zenon_Hc4).
% 9.94/10.11 (* end of lemma zenon_L191_ *)
% 9.94/10.11 assert (zenon_L192_ : (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> ((op (e1) (e3)) = (e0)) -> False).
% 9.94/10.11 do 0 intro. intros zenon_H5e zenon_H9a zenon_H87.
% 9.94/10.11 cut (((op (e1) (e3)) = (e1)) = ((e0) = (e1))).
% 9.94/10.11 intro zenon_D_pnotp.
% 9.94/10.11 apply zenon_H5e.
% 9.94/10.11 rewrite <- zenon_D_pnotp.
% 9.94/10.11 exact zenon_H9a.
% 9.94/10.11 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 9.94/10.11 cut (((op (e1) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H197].
% 9.94/10.11 congruence.
% 9.94/10.11 exact (zenon_H197 zenon_H87).
% 9.94/10.11 apply zenon_H33. apply refl_equal.
% 9.94/10.11 (* end of lemma zenon_L192_ *)
% 9.94/10.11 assert (zenon_L193_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> False).
% 9.94/10.11 do 0 intro. intros zenon_H145 zenon_H2a zenon_H12f zenon_He8 zenon_Hc8 zenon_Hc7 zenon_H91 zenon_H155 zenon_Hc5 zenon_H5e zenon_H9a.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H69 | zenon_intro zenon_H146 ].
% 9.94/10.11 apply (zenon_L100_); trivial.
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Heb | zenon_intro zenon_H147 ].
% 9.94/10.11 exact (zenon_He8 zenon_Heb).
% 9.94/10.11 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H101 | zenon_intro zenon_H87 ].
% 9.94/10.11 apply (zenon_L118_); trivial.
% 9.94/10.11 apply (zenon_L192_); trivial.
% 9.94/10.11 (* end of lemma zenon_L193_ *)
% 9.94/10.11 assert (zenon_L194_ : (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e1) (e3)) = (e1)) -> False).
% 9.94/10.11 do 0 intro. intros zenon_H198 zenon_H15a zenon_H9a.
% 9.94/10.11 cut (((op (e1) (e0)) = (e1)) = ((op (e1) (e0)) = (op (e1) (e3)))).
% 9.94/10.11 intro zenon_D_pnotp.
% 9.94/10.11 apply zenon_H198.
% 9.94/10.11 rewrite <- zenon_D_pnotp.
% 9.94/10.11 exact zenon_H15a.
% 9.94/10.11 cut (((e1) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H11e].
% 9.94/10.11 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H15c].
% 9.94/10.11 congruence.
% 9.94/10.11 apply zenon_H15c. apply refl_equal.
% 9.94/10.11 apply zenon_H11e. apply sym_equal. exact zenon_H9a.
% 9.94/10.11 (* end of lemma zenon_L194_ *)
% 9.94/10.11 assert (zenon_L195_ : ((op (e1) (e2)) = (e2)) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> False).
% 9.94/10.11 do 0 intro. intros zenon_H6e zenon_H6a zenon_H159.
% 9.94/10.11 elim (classic ((op (e1) (e2)) = (op (e1) (e2)))); [ zenon_intro zenon_H70 | zenon_intro zenon_H71 ].
% 9.94/10.11 cut (((op (e1) (e2)) = (op (e1) (e2))) = ((op (e1) (e0)) = (op (e1) (e2)))).
% 9.94/10.11 intro zenon_D_pnotp.
% 9.94/10.11 apply zenon_H159.
% 9.94/10.11 rewrite <- zenon_D_pnotp.
% 9.94/10.11 exact zenon_H70.
% 9.94/10.11 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H71].
% 9.94/10.11 cut (((op (e1) (e2)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H199].
% 9.94/10.11 congruence.
% 9.94/10.11 cut (((op (e1) (e2)) = (e2)) = ((op (e1) (e2)) = (op (e1) (e0)))).
% 9.94/10.11 intro zenon_D_pnotp.
% 9.94/10.11 apply zenon_H199.
% 9.94/10.11 rewrite <- zenon_D_pnotp.
% 9.94/10.11 exact zenon_H6e.
% 9.94/10.11 cut (((e2) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H19a].
% 9.94/10.11 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H71].
% 9.94/10.11 congruence.
% 9.94/10.11 apply zenon_H71. apply refl_equal.
% 9.94/10.11 apply zenon_H19a. apply sym_equal. exact zenon_H6a.
% 9.94/10.11 apply zenon_H71. apply refl_equal.
% 9.94/10.11 apply zenon_H71. apply refl_equal.
% 9.94/10.11 (* end of lemma zenon_L195_ *)
% 9.94/10.11 assert (zenon_L196_ : ((op (e2) (e1)) = (e1)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> False).
% 9.94/10.11 do 0 intro. intros zenon_H77 zenon_H1e zenon_Hd3.
% 9.94/10.11 elim (classic ((op (e2) (e1)) = (op (e2) (e1)))); [ zenon_intro zenon_H19b | zenon_intro zenon_H185 ].
% 9.94/10.11 cut (((op (e2) (e1)) = (op (e2) (e1))) = ((op (e0) (e1)) = (op (e2) (e1)))).
% 9.94/10.11 intro zenon_D_pnotp.
% 9.94/10.11 apply zenon_Hd3.
% 9.94/10.11 rewrite <- zenon_D_pnotp.
% 9.94/10.11 exact zenon_H19b.
% 9.94/10.11 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H185].
% 9.94/10.11 cut (((op (e2) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H19c].
% 9.94/10.11 congruence.
% 9.94/10.11 cut (((op (e2) (e1)) = (e1)) = ((op (e2) (e1)) = (op (e0) (e1)))).
% 9.94/10.11 intro zenon_D_pnotp.
% 9.94/10.11 apply zenon_H19c.
% 9.94/10.11 rewrite <- zenon_D_pnotp.
% 9.94/10.11 exact zenon_H77.
% 9.94/10.11 cut (((e1) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H23].
% 9.94/10.11 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H185].
% 9.94/10.11 congruence.
% 9.94/10.11 apply zenon_H185. apply refl_equal.
% 9.94/10.11 apply zenon_H23. apply sym_equal. exact zenon_H1e.
% 9.94/10.11 apply zenon_H185. apply refl_equal.
% 9.94/10.11 apply zenon_H185. apply refl_equal.
% 9.94/10.11 (* end of lemma zenon_L196_ *)
% 9.94/10.11 assert (zenon_L197_ : (~((op (op (e1) (e1)) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e3)) -> False).
% 9.94/10.11 do 0 intro. intros zenon_H19d zenon_Hc4.
% 9.94/10.11 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 9.94/10.11 cut (((op (e1) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hc1].
% 9.94/10.11 congruence.
% 9.94/10.11 exact (zenon_Hc1 zenon_Hc4).
% 9.94/10.11 apply zenon_H33. apply refl_equal.
% 9.94/10.11 (* end of lemma zenon_L197_ *)
% 9.94/10.11 assert (zenon_L198_ : ((op (e3) (e1)) = (e0)) -> ((op (e1) (e1)) = (e3)) -> (~((e0) = (op (op (e1) (e1)) (e1)))) -> False).
% 9.94/10.11 do 0 intro. intros zenon_He5 zenon_Hc4 zenon_H19e.
% 9.94/10.11 elim (classic ((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [ zenon_intro zenon_H19f | zenon_intro zenon_H1a0 ].
% 9.94/10.11 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1))) = ((e0) = (op (op (e1) (e1)) (e1)))).
% 9.94/10.11 intro zenon_D_pnotp.
% 9.94/10.11 apply zenon_H19e.
% 9.94/10.11 rewrite <- zenon_D_pnotp.
% 9.94/10.11 exact zenon_H19f.
% 9.94/10.11 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1a0].
% 9.94/10.11 cut (((op (op (e1) (e1)) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1a1].
% 9.94/10.11 congruence.
% 9.94/10.11 cut (((op (e3) (e1)) = (e0)) = ((op (op (e1) (e1)) (e1)) = (e0))).
% 9.94/10.11 intro zenon_D_pnotp.
% 9.94/10.11 apply zenon_H1a1.
% 9.94/10.11 rewrite <- zenon_D_pnotp.
% 9.94/10.11 exact zenon_He5.
% 9.94/10.11 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H41].
% 9.94/10.11 cut (((op (e3) (e1)) = (op (op (e1) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1a2].
% 9.94/10.11 congruence.
% 9.94/10.11 elim (classic ((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [ zenon_intro zenon_H19f | zenon_intro zenon_H1a0 ].
% 9.94/10.11 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1))) = ((op (e3) (e1)) = (op (op (e1) (e1)) (e1)))).
% 9.94/10.11 intro zenon_D_pnotp.
% 9.94/10.11 apply zenon_H1a2.
% 9.94/10.11 rewrite <- zenon_D_pnotp.
% 9.94/10.11 exact zenon_H19f.
% 9.94/10.11 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1a0].
% 9.94/10.11 cut (((op (op (e1) (e1)) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H19d].
% 9.94/10.11 congruence.
% 9.94/10.11 apply (zenon_L197_); trivial.
% 9.94/10.11 apply zenon_H1a0. apply refl_equal.
% 9.94/10.12 apply zenon_H1a0. apply refl_equal.
% 9.94/10.12 apply zenon_H41. apply refl_equal.
% 9.94/10.12 apply zenon_H1a0. apply refl_equal.
% 9.94/10.12 apply zenon_H1a0. apply refl_equal.
% 9.94/10.12 (* end of lemma zenon_L198_ *)
% 9.94/10.12 assert (zenon_L199_ : ((op (e0) (e1)) = (e2)) -> ((op (e3) (e1)) = (e0)) -> ((op (e1) (e1)) = (e3)) -> False).
% 9.94/10.12 do 0 intro. intros zenon_H34 zenon_He5 zenon_Hc4.
% 9.94/10.12 apply (zenon_notand_s _ _ ax28); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1a3 ].
% 9.94/10.12 apply zenon_H1a4. apply sym_equal. exact zenon_Hc4.
% 9.94/10.12 apply (zenon_notand_s _ _ zenon_H1a3); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H19e ].
% 9.94/10.12 elim (classic ((op (op (op (e1) (e1)) (e1)) (e1)) = (op (op (op (e1) (e1)) (e1)) (e1)))); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1a7 ].
% 9.94/10.12 cut (((op (op (op (e1) (e1)) (e1)) (e1)) = (op (op (op (e1) (e1)) (e1)) (e1))) = ((e2) = (op (op (op (e1) (e1)) (e1)) (e1)))).
% 9.94/10.12 intro zenon_D_pnotp.
% 9.94/10.12 apply zenon_H1a5.
% 9.94/10.12 rewrite <- zenon_D_pnotp.
% 9.94/10.12 exact zenon_H1a6.
% 9.94/10.12 cut (((op (op (op (e1) (e1)) (e1)) (e1)) = (op (op (op (e1) (e1)) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1a7].
% 9.94/10.12 cut (((op (op (op (e1) (e1)) (e1)) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H1a8].
% 9.94/10.12 congruence.
% 9.94/10.12 cut (((op (e0) (e1)) = (e2)) = ((op (op (op (e1) (e1)) (e1)) (e1)) = (e2))).
% 9.94/10.12 intro zenon_D_pnotp.
% 9.94/10.12 apply zenon_H1a8.
% 9.94/10.12 rewrite <- zenon_D_pnotp.
% 9.94/10.12 exact zenon_H34.
% 9.94/10.12 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 9.94/10.12 cut (((op (e0) (e1)) = (op (op (op (e1) (e1)) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1a9].
% 9.94/10.12 congruence.
% 9.94/10.12 elim (classic ((op (op (op (e1) (e1)) (e1)) (e1)) = (op (op (op (e1) (e1)) (e1)) (e1)))); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1a7 ].
% 9.94/10.12 cut (((op (op (op (e1) (e1)) (e1)) (e1)) = (op (op (op (e1) (e1)) (e1)) (e1))) = ((op (e0) (e1)) = (op (op (op (e1) (e1)) (e1)) (e1)))).
% 9.94/10.12 intro zenon_D_pnotp.
% 9.94/10.12 apply zenon_H1a9.
% 9.94/10.12 rewrite <- zenon_D_pnotp.
% 9.94/10.12 exact zenon_H1a6.
% 9.94/10.12 cut (((op (op (op (e1) (e1)) (e1)) (e1)) = (op (op (op (e1) (e1)) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1a7].
% 9.94/10.12 cut (((op (op (op (e1) (e1)) (e1)) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1aa].
% 9.94/10.12 congruence.
% 9.94/10.12 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 9.94/10.12 cut (((op (op (e1) (e1)) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1a1].
% 9.94/10.12 congruence.
% 9.94/10.12 cut (((op (e3) (e1)) = (e0)) = ((op (op (e1) (e1)) (e1)) = (e0))).
% 9.94/10.12 intro zenon_D_pnotp.
% 9.94/10.12 apply zenon_H1a1.
% 9.94/10.12 rewrite <- zenon_D_pnotp.
% 9.94/10.12 exact zenon_He5.
% 9.94/10.12 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H41].
% 9.94/10.12 cut (((op (e3) (e1)) = (op (op (e1) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1a2].
% 9.94/10.12 congruence.
% 9.94/10.12 elim (classic ((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [ zenon_intro zenon_H19f | zenon_intro zenon_H1a0 ].
% 9.94/10.12 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1))) = ((op (e3) (e1)) = (op (op (e1) (e1)) (e1)))).
% 9.94/10.12 intro zenon_D_pnotp.
% 9.94/10.12 apply zenon_H1a2.
% 9.94/10.12 rewrite <- zenon_D_pnotp.
% 9.94/10.12 exact zenon_H19f.
% 9.94/10.12 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1a0].
% 9.94/10.12 cut (((op (op (e1) (e1)) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H19d].
% 9.94/10.12 congruence.
% 9.94/10.12 apply (zenon_L197_); trivial.
% 9.94/10.12 apply zenon_H1a0. apply refl_equal.
% 9.94/10.12 apply zenon_H1a0. apply refl_equal.
% 9.94/10.12 apply zenon_H41. apply refl_equal.
% 9.94/10.12 apply zenon_H33. apply refl_equal.
% 9.94/10.12 apply zenon_H1a7. apply refl_equal.
% 9.94/10.12 apply zenon_H1a7. apply refl_equal.
% 9.94/10.12 apply zenon_H37. apply refl_equal.
% 9.94/10.12 apply zenon_H1a7. apply refl_equal.
% 9.94/10.12 apply zenon_H1a7. apply refl_equal.
% 9.94/10.12 apply (zenon_L198_); trivial.
% 9.94/10.12 (* end of lemma zenon_L199_ *)
% 9.94/10.12 assert (zenon_L200_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e3) (e1)) = (e3)) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 9.94/10.12 do 0 intro. intros zenon_H42 zenon_H27 zenon_Hbd zenon_H53 zenon_H5e zenon_H77 zenon_He8 zenon_H44 zenon_He7 zenon_H35 zenon_H5d zenon_Hd0 zenon_H181.
% 9.94/10.12 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 9.94/10.12 exact (zenon_H27 zenon_H32).
% 9.94/10.12 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 9.94/10.12 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H68 | zenon_intro zenon_He9 ].
% 9.94/10.12 apply (zenon_L16_); trivial.
% 9.94/10.12 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Heb | zenon_intro zenon_Hea ].
% 9.94/10.12 exact (zenon_He8 zenon_Heb).
% 9.94/10.12 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H78 | zenon_intro zenon_He5 ].
% 9.94/10.12 apply (zenon_L22_); trivial.
% 9.94/10.12 apply (zenon_L112_); trivial.
% 9.94/10.12 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 9.94/10.12 apply (zenon_L70_); trivial.
% 9.94/10.12 apply (zenon_L163_); trivial.
% 9.94/10.12 (* end of lemma zenon_L200_ *)
% 9.94/10.12 assert (zenon_L201_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e2) (e1)) = (e1)) -> (~((e0) = (e1))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 9.94/10.12 do 0 intro. intros zenon_He7 zenon_H44 zenon_He8 zenon_H77 zenon_H5e zenon_H53 zenon_H27 zenon_H42 zenon_H4c zenon_H95 zenon_Hc0 zenon_H35 zenon_H5d zenon_Hd0 zenon_H181.
% 9.94/10.12 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 9.94/10.12 exact (zenon_H27 zenon_H32).
% 9.94/10.12 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 9.94/10.12 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H68 | zenon_intro zenon_He9 ].
% 9.94/10.12 apply (zenon_L16_); trivial.
% 9.94/10.12 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Heb | zenon_intro zenon_Hea ].
% 9.94/10.12 exact (zenon_He8 zenon_Heb).
% 9.94/10.12 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H78 | zenon_intro zenon_He5 ].
% 9.94/10.12 apply (zenon_L22_); trivial.
% 9.94/10.12 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H4b | zenon_intro zenon_Hc2 ].
% 9.94/10.12 apply (zenon_L184_); trivial.
% 9.94/10.12 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc3 ].
% 9.94/10.12 apply (zenon_L199_); trivial.
% 9.94/10.12 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hbd ].
% 9.94/10.12 apply (zenon_L48_); trivial.
% 9.94/10.12 apply (zenon_L200_); trivial.
% 9.94/10.12 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 9.94/10.12 apply (zenon_L70_); trivial.
% 9.94/10.12 apply (zenon_L163_); trivial.
% 9.94/10.12 (* end of lemma zenon_L201_ *)
% 9.94/10.12 assert (zenon_L202_ : ((op (e1) (e3)) = (e1)) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 9.94/10.12 do 0 intro. intros zenon_H9a zenon_H62 zenon_H187.
% 9.94/10.12 elim (classic ((op (e1) (e3)) = (op (e1) (e3)))); [ zenon_intro zenon_H1ab | zenon_intro zenon_H88 ].
% 9.94/10.12 cut (((op (e1) (e3)) = (op (e1) (e3))) = ((op (e0) (e3)) = (op (e1) (e3)))).
% 9.94/10.12 intro zenon_D_pnotp.
% 9.94/10.12 apply zenon_H187.
% 9.94/10.12 rewrite <- zenon_D_pnotp.
% 9.94/10.12 exact zenon_H1ab.
% 9.94/10.12 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H88].
% 9.94/10.12 cut (((op (e1) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1ac].
% 9.94/10.12 congruence.
% 9.94/10.12 cut (((op (e1) (e3)) = (e1)) = ((op (e1) (e3)) = (op (e0) (e3)))).
% 9.94/10.12 intro zenon_D_pnotp.
% 9.94/10.12 apply zenon_H1ac.
% 9.94/10.12 rewrite <- zenon_D_pnotp.
% 9.94/10.12 exact zenon_H9a.
% 9.94/10.12 cut (((e1) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1ad].
% 9.94/10.12 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H88].
% 9.94/10.12 congruence.
% 9.94/10.12 apply zenon_H88. apply refl_equal.
% 9.94/10.12 apply zenon_H1ad. apply sym_equal. exact zenon_H62.
% 9.94/10.12 apply zenon_H88. apply refl_equal.
% 9.94/10.12 apply zenon_H88. apply refl_equal.
% 9.94/10.12 (* end of lemma zenon_L202_ *)
% 9.94/10.12 assert (zenon_L203_ : ((op (e2) (e1)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> (~((e1) = (e2))) -> False).
% 9.94/10.12 do 0 intro. intros zenon_H77 zenon_Hb8 zenon_H35.
% 9.94/10.12 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ].
% 9.94/10.12 cut (((e2) = (e2)) = ((e1) = (e2))).
% 9.94/10.12 intro zenon_D_pnotp.
% 9.94/10.12 apply zenon_H35.
% 9.94/10.12 rewrite <- zenon_D_pnotp.
% 9.94/10.12 exact zenon_H36.
% 9.94/10.12 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 9.94/10.12 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 9.94/10.12 congruence.
% 9.94/10.12 cut (((op (e2) (e1)) = (e1)) = ((e2) = (e1))).
% 9.94/10.12 intro zenon_D_pnotp.
% 9.94/10.12 apply zenon_H38.
% 9.94/10.12 rewrite <- zenon_D_pnotp.
% 9.94/10.12 exact zenon_H77.
% 9.94/10.12 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 9.94/10.12 cut (((op (e2) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H1ae].
% 9.94/10.12 congruence.
% 9.94/10.12 exact (zenon_H1ae zenon_Hb8).
% 9.94/10.12 apply zenon_H33. apply refl_equal.
% 9.94/10.12 apply zenon_H37. apply refl_equal.
% 9.94/10.12 apply zenon_H37. apply refl_equal.
% 9.94/10.12 (* end of lemma zenon_L203_ *)
% 9.94/10.12 assert (zenon_L204_ : ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (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)) = (e2))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> False).
% 9.94/10.12 do 0 intro. intros zenon_H157 zenon_H145 zenon_H9a zenon_H5e zenon_H155 zenon_Hc7 zenon_Hc5 zenon_He8 zenon_H2a zenon_H12f zenon_H64 zenon_H187 zenon_H27 zenon_H95 zenon_H4c zenon_H42 zenon_H181 zenon_H35 zenon_H53 zenon_He7 zenon_Hc0 zenon_H44 zenon_H77 zenon_Hd3 zenon_H56 zenon_Hd2.
% 9.94/10.12 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 9.94/10.12 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 9.94/10.12 apply (zenon_L193_); trivial.
% 9.94/10.12 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 9.94/10.12 exact (zenon_H56 zenon_H2c).
% 9.94/10.12 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 9.94/10.12 apply (zenon_L196_); trivial.
% 9.94/10.12 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 9.94/10.12 apply (zenon_L201_); trivial.
% 9.94/10.12 apply (zenon_L202_); trivial.
% 9.94/10.12 apply (zenon_L203_); trivial.
% 9.94/10.12 (* end of lemma zenon_L204_ *)
% 9.94/10.12 assert (zenon_L205_ : ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> (~((e1) = (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))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (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 (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((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))))) -> False).
% 9.94/10.12 do 0 intro. intros zenon_H1af zenon_Hd2 zenon_H56 zenon_Hd3 zenon_H77 zenon_H44 zenon_Hc0 zenon_He7 zenon_H53 zenon_H35 zenon_H181 zenon_H42 zenon_H4c zenon_H95 zenon_H27 zenon_H187 zenon_H64 zenon_H12f zenon_H2a zenon_Hc5 zenon_Hc7 zenon_H155 zenon_H5e zenon_H145 zenon_H157 zenon_He8 zenon_H192 zenon_Haf zenon_H191.
% 9.94/10.12 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 9.94/10.12 apply (zenon_L190_); trivial.
% 9.94/10.12 apply (zenon_L204_); trivial.
% 9.94/10.12 (* end of lemma zenon_L205_ *)
% 9.94/10.12 assert (zenon_L206_ : (~((e0) = (e1))) -> ((op (e3) (e1)) = (e1)) -> ((op (e3) (e1)) = (e0)) -> False).
% 9.94/10.12 do 0 intro. intros zenon_H5e zenon_Hf2 zenon_He5.
% 9.94/10.12 cut (((op (e3) (e1)) = (e1)) = ((e0) = (e1))).
% 9.94/10.12 intro zenon_D_pnotp.
% 9.94/10.12 apply zenon_H5e.
% 9.94/10.12 rewrite <- zenon_D_pnotp.
% 9.94/10.12 exact zenon_Hf2.
% 9.94/10.12 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 9.94/10.12 cut (((op (e3) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H14c].
% 9.94/10.12 congruence.
% 9.94/10.12 exact (zenon_H14c zenon_He5).
% 9.94/10.12 apply zenon_H33. apply refl_equal.
% 9.94/10.12 (* end of lemma zenon_L206_ *)
% 9.94/10.12 assert (zenon_L207_ : ((op (e3) (e1)) = (e1)) -> ((op (e3) (e1)) = (e3)) -> (~((e1) = (e3))) -> False).
% 9.94/10.12 do 0 intro. intros zenon_Hf2 zenon_Hbd zenon_H4c.
% 9.94/10.12 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H4d | zenon_intro zenon_H4e ].
% 9.94/10.12 cut (((e3) = (e3)) = ((e1) = (e3))).
% 9.94/10.12 intro zenon_D_pnotp.
% 9.94/10.12 apply zenon_H4c.
% 9.94/10.12 rewrite <- zenon_D_pnotp.
% 9.94/10.12 exact zenon_H4d.
% 9.94/10.12 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 9.94/10.12 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4f].
% 9.94/10.12 congruence.
% 9.94/10.12 cut (((op (e3) (e1)) = (e1)) = ((e3) = (e1))).
% 9.94/10.12 intro zenon_D_pnotp.
% 9.94/10.12 apply zenon_H4f.
% 9.94/10.12 rewrite <- zenon_D_pnotp.
% 9.94/10.12 exact zenon_Hf2.
% 9.94/10.12 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 9.94/10.12 cut (((op (e3) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H1b0].
% 9.94/10.12 congruence.
% 9.94/10.12 exact (zenon_H1b0 zenon_Hbd).
% 9.94/10.12 apply zenon_H33. apply refl_equal.
% 9.94/10.12 apply zenon_H4e. apply refl_equal.
% 9.94/10.12 apply zenon_H4e. apply refl_equal.
% 9.94/10.12 (* end of lemma zenon_L207_ *)
% 9.94/10.12 assert (zenon_L208_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e2)) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e1)) -> ((op (e3) (e2)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 9.94/10.12 do 0 intro. intros zenon_H16b zenon_Hd8 zenon_H95 zenon_H4c zenon_Hf2 zenon_H106 zenon_H53 zenon_H80.
% 9.94/10.12 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Hbc | zenon_intro zenon_H16c ].
% 9.94/10.12 apply (zenon_L51_); trivial.
% 9.94/10.12 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_Hbd | zenon_intro zenon_H16d ].
% 9.94/10.12 apply (zenon_L207_); trivial.
% 9.94/10.12 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hed | zenon_intro zenon_H84 ].
% 9.94/10.12 apply (zenon_L73_); trivial.
% 9.94/10.12 exact (zenon_H80 zenon_H84).
% 9.94/10.12 (* end of lemma zenon_L208_ *)
% 9.94/10.12 assert (zenon_L209_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e2)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 9.94/10.12 do 0 intro. intros zenon_H14d zenon_H44 zenon_H5e zenon_H80 zenon_H53 zenon_Hf2 zenon_H4c zenon_H95 zenon_Hd8 zenon_H16b zenon_H8d.
% 9.94/10.12 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_He4 | zenon_intro zenon_H14e ].
% 9.94/10.12 apply (zenon_L99_); trivial.
% 9.94/10.12 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_He5 | zenon_intro zenon_H14f ].
% 9.94/10.12 apply (zenon_L206_); trivial.
% 9.94/10.12 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H106 | zenon_intro zenon_H7b ].
% 9.94/10.12 apply (zenon_L208_); trivial.
% 9.94/10.12 exact (zenon_H8d zenon_H7b).
% 9.94/10.12 (* end of lemma zenon_L209_ *)
% 9.94/10.12 assert (zenon_L210_ : (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e0)) = (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) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (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 (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((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 (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 9.94/10.12 do 0 intro. intros zenon_H8d zenon_H16b zenon_H95 zenon_H4c zenon_H53 zenon_H80 zenon_H5e zenon_H44 zenon_H14d zenon_H1af zenon_Hd2 zenon_H56 zenon_Hd3 zenon_Hc0 zenon_He7 zenon_H35 zenon_H42 zenon_H27 zenon_H187 zenon_H64 zenon_H12f zenon_H2a zenon_Hc5 zenon_Hc7 zenon_H155 zenon_H145 zenon_H157 zenon_He8 zenon_H192 zenon_Haf zenon_H191 zenon_H1b1 zenon_H76 zenon_H159 zenon_Hdd zenon_H6f zenon_H6e zenon_Hd0 zenon_H181.
% 9.94/10.12 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 9.94/10.12 exact (zenon_H27 zenon_H32).
% 9.94/10.12 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 9.94/10.12 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hdf ].
% 9.94/10.12 exact (zenon_H27 zenon_H32).
% 9.94/10.12 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H6a | zenon_intro zenon_He0 ].
% 9.94/10.12 apply (zenon_L195_); trivial.
% 9.94/10.12 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd8 ].
% 9.94/10.12 apply (zenon_L47_); trivial.
% 9.94/10.12 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1e | zenon_intro zenon_H1b2 ].
% 9.94/10.12 apply (zenon_L4_); trivial.
% 9.94/10.12 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1d | zenon_intro zenon_H1b3 ].
% 9.94/10.12 exact (zenon_H192 zenon_H1d).
% 9.94/10.12 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H77 | zenon_intro zenon_Hf2 ].
% 9.94/10.12 apply (zenon_L205_); trivial.
% 9.94/10.12 apply (zenon_L209_); trivial.
% 9.94/10.12 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 9.94/10.12 apply (zenon_L19_); trivial.
% 9.94/10.12 apply (zenon_L163_); trivial.
% 9.94/10.12 (* end of lemma zenon_L210_ *)
% 9.94/10.12 assert (zenon_L211_ : ((op (e3) (e0)) = (e1)) -> ((op (e3) (e0)) = (e2)) -> (~((e1) = (e2))) -> False).
% 9.94/10.12 do 0 intro. intros zenon_Hf0 zenon_Hd8 zenon_H35.
% 9.94/10.12 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ].
% 9.94/10.12 cut (((e2) = (e2)) = ((e1) = (e2))).
% 9.94/10.12 intro zenon_D_pnotp.
% 9.94/10.12 apply zenon_H35.
% 9.94/10.12 rewrite <- zenon_D_pnotp.
% 9.94/10.12 exact zenon_H36.
% 9.94/10.12 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 9.94/10.12 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 9.94/10.12 congruence.
% 9.94/10.12 cut (((op (e3) (e0)) = (e1)) = ((e2) = (e1))).
% 9.94/10.12 intro zenon_D_pnotp.
% 9.94/10.12 apply zenon_H38.
% 9.94/10.12 rewrite <- zenon_D_pnotp.
% 9.94/10.12 exact zenon_Hf0.
% 9.94/10.12 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 9.94/10.12 cut (((op (e3) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hd9].
% 9.94/10.12 congruence.
% 9.94/10.12 exact (zenon_Hd9 zenon_Hd8).
% 9.94/10.12 apply zenon_H33. apply refl_equal.
% 9.94/10.12 apply zenon_H37. apply refl_equal.
% 9.94/10.12 apply zenon_H37. apply refl_equal.
% 9.94/10.12 (* end of lemma zenon_L211_ *)
% 9.94/10.12 assert (zenon_L212_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (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)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((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 (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((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 (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> False).
% 9.94/10.12 do 0 intro. intros zenon_H1b4 zenon_H9a zenon_H198 zenon_H181 zenon_H6f zenon_H1b1 zenon_H191 zenon_Haf zenon_H192 zenon_He8 zenon_H157 zenon_H145 zenon_H155 zenon_Hc7 zenon_Hc5 zenon_H2a zenon_H12f zenon_H64 zenon_H187 zenon_H42 zenon_He7 zenon_Hc0 zenon_Hd3 zenon_H56 zenon_Hd2 zenon_H1af zenon_H14d zenon_H44 zenon_H5e zenon_H80 zenon_H53 zenon_H4c zenon_H95 zenon_H16b zenon_H8d zenon_Hdd zenon_H27 zenon_H159 zenon_H6e zenon_Hd0 zenon_Hce zenon_H35.
% 9.94/10.12 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 9.94/10.12 exact (zenon_H56 zenon_H2c).
% 9.94/10.12 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 9.94/10.12 apply (zenon_L194_); trivial.
% 9.94/10.12 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 9.94/10.12 apply (zenon_L210_); trivial.
% 9.94/10.12 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hdf ].
% 9.94/10.12 exact (zenon_H27 zenon_H32).
% 9.94/10.12 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H6a | zenon_intro zenon_He0 ].
% 9.94/10.12 apply (zenon_L195_); trivial.
% 9.94/10.12 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd8 ].
% 9.94/10.12 apply (zenon_L44_); trivial.
% 9.94/10.12 apply (zenon_L211_); trivial.
% 9.94/10.12 (* end of lemma zenon_L212_ *)
% 9.94/10.12 assert (zenon_L213_ : (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e0)) -> ((op (e0) (e3)) = (e0)) -> False).
% 9.94/10.12 do 0 intro. intros zenon_H58 zenon_H2a zenon_H43.
% 9.94/10.12 cut (((op (e0) (e0)) = (e0)) = ((op (e0) (e0)) = (op (e0) (e3)))).
% 9.94/10.12 intro zenon_D_pnotp.
% 9.94/10.12 apply zenon_H58.
% 9.94/10.12 rewrite <- zenon_D_pnotp.
% 9.94/10.12 exact zenon_H2a.
% 9.94/10.12 cut (((e0) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H11c].
% 9.94/10.12 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H131].
% 9.94/10.12 congruence.
% 9.94/10.12 apply zenon_H131. apply refl_equal.
% 9.94/10.12 apply zenon_H11c. apply sym_equal. exact zenon_H43.
% 9.94/10.12 (* end of lemma zenon_L213_ *)
% 9.94/10.12 assert (zenon_L214_ : (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((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).
% 9.94/10.12 do 0 intro. intros zenon_H1b7 zenon_H2a zenon_H58 zenon_H187 zenon_H9a zenon_H181 zenon_Hd0 zenon_H84 zenon_H7a.
% 9.94/10.12 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H43 | zenon_intro zenon_H1b8 ].
% 9.94/10.12 apply (zenon_L213_); trivial.
% 9.94/10.12 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b9 ].
% 9.94/10.12 apply (zenon_L202_); trivial.
% 9.94/10.12 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H47 | zenon_intro zenon_H57 ].
% 9.94/10.12 apply (zenon_L163_); trivial.
% 9.94/10.12 apply (zenon_L68_); trivial.
% 9.94/10.12 (* end of lemma zenon_L214_ *)
% 9.94/10.12 assert (zenon_L215_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> False).
% 9.94/10.12 do 0 intro. intros zenon_Hd2 zenon_H58 zenon_H187 zenon_H181 zenon_H7a zenon_H84 zenon_H1b7 zenon_H12f zenon_H2a zenon_He8 zenon_Hc5 zenon_Hc7 zenon_H91 zenon_H155 zenon_H5e zenon_H9a zenon_H145.
% 9.94/10.12 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 9.94/10.12 apply (zenon_L193_); trivial.
% 9.94/10.12 apply (zenon_L214_); trivial.
% 9.94/10.12 (* end of lemma zenon_L215_ *)
% 9.94/10.12 assert (zenon_L216_ : (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> ((op (e2) (e0)) = (e0)) -> False).
% 9.94/10.12 do 0 intro. intros zenon_H1ba zenon_H2a zenon_H73.
% 9.94/10.12 cut (((op (e0) (e0)) = (e0)) = ((op (e0) (e0)) = (op (e2) (e0)))).
% 9.94/10.12 intro zenon_D_pnotp.
% 9.94/10.12 apply zenon_H1ba.
% 9.94/10.12 rewrite <- zenon_D_pnotp.
% 9.94/10.12 exact zenon_H2a.
% 9.94/10.12 cut (((e0) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1bb].
% 9.94/10.12 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H131].
% 9.94/10.12 congruence.
% 9.94/10.12 apply zenon_H131. apply refl_equal.
% 9.94/10.12 apply zenon_H1bb. apply sym_equal. exact zenon_H73.
% 9.94/10.12 (* end of lemma zenon_L216_ *)
% 9.94/10.12 assert (zenon_L217_ : (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e2) (e0)) = (e1)) -> False).
% 9.94/10.12 do 0 intro. intros zenon_H1bc zenon_H15a zenon_H76.
% 9.94/10.12 cut (((op (e1) (e0)) = (e1)) = ((op (e1) (e0)) = (op (e2) (e0)))).
% 9.94/10.12 intro zenon_D_pnotp.
% 9.94/10.12 apply zenon_H1bc.
% 9.94/10.12 rewrite <- zenon_D_pnotp.
% 9.94/10.12 exact zenon_H15a.
% 9.94/10.12 cut (((e1) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1bd].
% 9.94/10.12 cut (((op (e1) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H15c].
% 9.94/10.12 congruence.
% 9.94/10.12 apply zenon_H15c. apply refl_equal.
% 9.94/10.12 apply zenon_H1bd. apply sym_equal. exact zenon_H76.
% 9.94/10.12 (* end of lemma zenon_L217_ *)
% 9.94/10.12 assert (zenon_L218_ : ((op (e2) (e0)) = (e2)) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> False).
% 9.94/10.12 do 0 intro. intros zenon_Hcf zenon_H6a zenon_H1bc.
% 9.94/10.12 elim (classic ((op (e2) (e0)) = (op (e2) (e0)))); [ zenon_intro zenon_H1be | zenon_intro zenon_Hcb ].
% 9.94/10.12 cut (((op (e2) (e0)) = (op (e2) (e0))) = ((op (e1) (e0)) = (op (e2) (e0)))).
% 9.94/10.12 intro zenon_D_pnotp.
% 9.94/10.12 apply zenon_H1bc.
% 9.94/10.12 rewrite <- zenon_D_pnotp.
% 9.94/10.12 exact zenon_H1be.
% 9.94/10.12 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hcb].
% 9.94/10.12 cut (((op (e2) (e0)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1bf].
% 9.94/10.12 congruence.
% 9.94/10.12 cut (((op (e2) (e0)) = (e2)) = ((op (e2) (e0)) = (op (e1) (e0)))).
% 9.94/10.12 intro zenon_D_pnotp.
% 9.94/10.12 apply zenon_H1bf.
% 9.94/10.12 rewrite <- zenon_D_pnotp.
% 9.94/10.12 exact zenon_Hcf.
% 9.94/10.12 cut (((e2) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H19a].
% 9.94/10.12 cut (((op (e2) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hcb].
% 9.94/10.12 congruence.
% 9.94/10.12 apply zenon_Hcb. apply refl_equal.
% 9.94/10.12 apply zenon_H19a. apply sym_equal. exact zenon_H6a.
% 9.94/10.12 apply zenon_Hcb. apply refl_equal.
% 9.94/10.12 apply zenon_Hcb. apply refl_equal.
% 9.94/10.12 (* end of lemma zenon_L218_ *)
% 9.94/10.12 assert (zenon_L219_ : ((op (e3) (e0)) = (e3)) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> False).
% 9.94/10.12 do 0 intro. intros zenon_Hbc zenon_H74 zenon_H1c0.
% 9.94/10.12 elim (classic ((op (e3) (e0)) = (op (e3) (e0)))); [ zenon_intro zenon_H170 | zenon_intro zenon_Hbf ].
% 9.94/10.12 cut (((op (e3) (e0)) = (op (e3) (e0))) = ((op (e2) (e0)) = (op (e3) (e0)))).
% 9.94/10.12 intro zenon_D_pnotp.
% 9.94/10.12 apply zenon_H1c0.
% 9.94/10.12 rewrite <- zenon_D_pnotp.
% 9.94/10.12 exact zenon_H170.
% 9.94/10.12 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hbf].
% 9.94/10.12 cut (((op (e3) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1c1].
% 9.94/10.12 congruence.
% 9.94/10.12 cut (((op (e3) (e0)) = (e3)) = ((op (e3) (e0)) = (op (e2) (e0)))).
% 9.94/10.12 intro zenon_D_pnotp.
% 9.94/10.12 apply zenon_H1c1.
% 9.94/10.12 rewrite <- zenon_D_pnotp.
% 9.94/10.12 exact zenon_Hbc.
% 9.94/10.12 cut (((e3) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1c2].
% 9.94/10.12 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hbf].
% 9.94/10.12 congruence.
% 9.94/10.12 apply zenon_Hbf. apply refl_equal.
% 9.94/10.12 apply zenon_H1c2. apply sym_equal. exact zenon_H74.
% 9.94/10.12 apply zenon_Hbf. apply refl_equal.
% 9.94/10.12 apply zenon_Hbf. apply refl_equal.
% 9.94/10.12 (* end of lemma zenon_L219_ *)
% 9.94/10.12 assert (zenon_L220_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e2)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> False).
% 9.94/10.12 do 0 intro. intros zenon_H1c3 zenon_H2a zenon_H1ba zenon_H15a zenon_H1bc zenon_H6a zenon_Hbc zenon_H1c0.
% 9.94/10.12 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H73 | zenon_intro zenon_H1c4 ].
% 9.94/10.12 apply (zenon_L216_); trivial.
% 9.94/10.12 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H76 | zenon_intro zenon_H1c5 ].
% 9.94/10.12 apply (zenon_L217_); trivial.
% 9.94/10.12 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hcf | zenon_intro zenon_H74 ].
% 9.94/10.12 apply (zenon_L218_); trivial.
% 9.94/10.12 apply (zenon_L219_); trivial.
% 9.94/10.12 (* end of lemma zenon_L220_ *)
% 9.94/10.12 assert (zenon_L221_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False).
% 9.94/10.12 do 0 intro. intros zenon_Hdd zenon_H27 zenon_H1c0 zenon_H1bc zenon_H15a zenon_H1ba zenon_H2a zenon_H1c3 zenon_Hd0 zenon_Hce zenon_H95 zenon_Hbc.
% 9.94/10.12 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hdf ].
% 9.94/10.12 exact (zenon_H27 zenon_H32).
% 9.94/10.12 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H6a | zenon_intro zenon_He0 ].
% 9.94/10.12 apply (zenon_L220_); trivial.
% 9.94/10.12 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd8 ].
% 9.94/10.12 apply (zenon_L44_); trivial.
% 9.94/10.12 apply (zenon_L51_); trivial.
% 9.94/10.12 (* end of lemma zenon_L221_ *)
% 9.94/10.12 assert (zenon_L222_ : (((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) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False).
% 9.94/10.12 do 0 intro. intros zenon_H1b4 zenon_H56 zenon_Hce zenon_Hd0 zenon_H1c3 zenon_H2a zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H95 zenon_H35 zenon_H6e zenon_H159 zenon_H27 zenon_Hdd zenon_H4c zenon_Hbc.
% 9.94/10.12 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 9.94/10.12 exact (zenon_H56 zenon_H2c).
% 9.94/10.12 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 9.94/10.12 apply (zenon_L221_); trivial.
% 9.94/10.12 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 9.94/10.12 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hdf ].
% 9.94/10.12 exact (zenon_H27 zenon_H32).
% 9.94/10.12 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H6a | zenon_intro zenon_He0 ].
% 9.94/10.12 apply (zenon_L195_); trivial.
% 9.94/10.12 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd8 ].
% 9.94/10.12 apply (zenon_L47_); trivial.
% 9.94/10.12 apply (zenon_L51_); trivial.
% 9.94/10.12 apply (zenon_L139_); trivial.
% 9.94/10.12 (* end of lemma zenon_L222_ *)
% 9.94/10.12 assert (zenon_L223_ : ((op (e2) (e2)) = (e2)) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> False).
% 9.94/10.12 do 0 intro. intros zenon_H3a zenon_H6e zenon_H155.
% 9.95/10.12 elim (classic ((op (e2) (e2)) = (op (e2) (e2)))); [ zenon_intro zenon_H3d | zenon_intro zenon_H3e ].
% 9.95/10.12 cut (((op (e2) (e2)) = (op (e2) (e2))) = ((op (e1) (e2)) = (op (e2) (e2)))).
% 9.95/10.12 intro zenon_D_pnotp.
% 9.95/10.12 apply zenon_H155.
% 9.95/10.12 rewrite <- zenon_D_pnotp.
% 9.95/10.12 exact zenon_H3d.
% 9.95/10.12 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H3e].
% 9.95/10.12 cut (((op (e2) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1c6].
% 9.95/10.12 congruence.
% 9.95/10.12 cut (((op (e2) (e2)) = (e2)) = ((op (e2) (e2)) = (op (e1) (e2)))).
% 9.95/10.12 intro zenon_D_pnotp.
% 9.95/10.12 apply zenon_H1c6.
% 9.95/10.12 rewrite <- zenon_D_pnotp.
% 9.95/10.12 exact zenon_H3a.
% 9.95/10.12 cut (((e2) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1c7].
% 9.95/10.12 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H3e].
% 9.95/10.12 congruence.
% 9.95/10.12 apply zenon_H3e. apply refl_equal.
% 9.95/10.12 apply zenon_H1c7. apply sym_equal. exact zenon_H6e.
% 9.95/10.12 apply zenon_H3e. apply refl_equal.
% 9.95/10.12 apply zenon_H3e. apply refl_equal.
% 9.95/10.12 (* end of lemma zenon_L223_ *)
% 9.95/10.12 assert (zenon_L224_ : (((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).
% 9.95/10.12 do 0 intro. intros zenon_H191 zenon_He8 zenon_H192 zenon_H16e zenon_H6e zenon_Hc1.
% 9.95/10.12 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Heb | zenon_intro zenon_H193 ].
% 9.95/10.12 exact (zenon_He8 zenon_Heb).
% 9.95/10.12 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H1d | zenon_intro zenon_H194 ].
% 9.95/10.12 exact (zenon_H192 zenon_H1d).
% 9.95/10.12 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hc4 ].
% 9.95/10.12 elim (classic ((op (e1) (e2)) = (op (e1) (e2)))); [ zenon_intro zenon_H70 | zenon_intro zenon_H71 ].
% 9.95/10.12 cut (((op (e1) (e2)) = (op (e1) (e2))) = ((op (e1) (e1)) = (op (e1) (e2)))).
% 9.95/10.12 intro zenon_D_pnotp.
% 9.95/10.12 apply zenon_H16e.
% 9.95/10.12 rewrite <- zenon_D_pnotp.
% 9.95/10.12 exact zenon_H70.
% 9.95/10.12 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H71].
% 9.95/10.12 cut (((op (e1) (e2)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1c8].
% 9.95/10.12 congruence.
% 9.95/10.12 cut (((op (e1) (e2)) = (e2)) = ((op (e1) (e2)) = (op (e1) (e1)))).
% 9.95/10.12 intro zenon_D_pnotp.
% 9.95/10.12 apply zenon_H1c8.
% 9.95/10.12 rewrite <- zenon_D_pnotp.
% 9.95/10.12 exact zenon_H6e.
% 9.95/10.12 cut (((e2) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1c9].
% 9.95/10.12 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H71].
% 9.95/10.12 congruence.
% 9.95/10.12 apply zenon_H71. apply refl_equal.
% 9.95/10.12 apply zenon_H1c9. apply sym_equal. exact zenon_Hb4.
% 9.95/10.12 apply zenon_H71. apply refl_equal.
% 9.95/10.12 apply zenon_H71. apply refl_equal.
% 9.95/10.12 exact (zenon_Hc1 zenon_Hc4).
% 9.95/10.12 (* end of lemma zenon_L224_ *)
% 9.95/10.12 assert (zenon_L225_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> (((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))) -> False).
% 9.95/10.12 do 0 intro. intros zenon_H145 zenon_H2a zenon_H12f zenon_He8 zenon_H100 zenon_H5e zenon_H7d zenon_H86 zenon_H7e zenon_H7f zenon_H80.
% 9.95/10.12 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H69 | zenon_intro zenon_H146 ].
% 9.95/10.12 apply (zenon_L100_); trivial.
% 9.95/10.12 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Heb | zenon_intro zenon_H147 ].
% 9.95/10.12 exact (zenon_He8 zenon_Heb).
% 9.95/10.12 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H101 | zenon_intro zenon_H87 ].
% 9.95/10.12 apply (zenon_L71_); trivial.
% 9.95/10.12 apply (zenon_L26_); trivial.
% 9.95/10.12 (* end of lemma zenon_L225_ *)
% 9.95/10.12 assert (zenon_L226_ : ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (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) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((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))))) -> False).
% 9.95/10.12 do 0 intro. intros zenon_H18d zenon_H58 zenon_H187 zenon_H9a zenon_H181 zenon_Hd0 zenon_H7a zenon_H1b7 zenon_H12f zenon_H2a zenon_He8 zenon_H5e zenon_H100 zenon_H7d zenon_H7f zenon_H7e zenon_H86 zenon_H145.
% 9.95/10.12 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 9.95/10.12 apply (zenon_L225_); trivial.
% 9.95/10.12 apply (zenon_L214_); trivial.
% 9.95/10.12 (* end of lemma zenon_L226_ *)
% 9.95/10.12 assert (zenon_L227_ : (((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) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 9.95/10.12 do 0 intro. intros zenon_H42 zenon_H27 zenon_H35 zenon_H1e zenon_H6f zenon_H6e zenon_Hd0 zenon_H181.
% 9.95/10.12 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 9.95/10.12 exact (zenon_H27 zenon_H32).
% 9.95/10.12 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 9.95/10.12 apply (zenon_L4_); trivial.
% 9.95/10.12 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 9.95/10.12 apply (zenon_L19_); trivial.
% 9.95/10.12 apply (zenon_L163_); trivial.
% 9.95/10.12 (* end of lemma zenon_L227_ *)
% 9.95/10.12 assert (zenon_L228_ : ((op (e1) (e2)) = (e1)) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> False).
% 9.95/10.12 do 0 intro. intros zenon_H100 zenon_H5d zenon_H6f.
% 9.95/10.12 elim (classic ((op (e1) (e2)) = (op (e1) (e2)))); [ zenon_intro zenon_H70 | zenon_intro zenon_H71 ].
% 9.95/10.12 cut (((op (e1) (e2)) = (op (e1) (e2))) = ((op (e0) (e2)) = (op (e1) (e2)))).
% 9.95/10.12 intro zenon_D_pnotp.
% 9.95/10.12 apply zenon_H6f.
% 9.95/10.12 rewrite <- zenon_D_pnotp.
% 9.95/10.12 exact zenon_H70.
% 9.95/10.12 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H71].
% 9.95/10.12 cut (((op (e1) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H72].
% 9.95/10.12 congruence.
% 9.95/10.12 cut (((op (e1) (e2)) = (e1)) = ((op (e1) (e2)) = (op (e0) (e2)))).
% 9.95/10.12 intro zenon_D_pnotp.
% 9.95/10.12 apply zenon_H72.
% 9.95/10.12 rewrite <- zenon_D_pnotp.
% 9.95/10.12 exact zenon_H100.
% 9.95/10.12 cut (((e1) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1ca].
% 9.95/10.12 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H71].
% 9.95/10.12 congruence.
% 9.95/10.12 apply zenon_H71. apply refl_equal.
% 9.95/10.12 apply zenon_H1ca. apply sym_equal. exact zenon_H5d.
% 9.95/10.12 apply zenon_H71. apply refl_equal.
% 9.95/10.12 apply zenon_H71. apply refl_equal.
% 9.95/10.12 (* end of lemma zenon_L228_ *)
% 9.95/10.12 assert (zenon_L229_ : ((op (e0) (e3)) = (e1)) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> False).
% 9.95/10.12 do 0 intro. intros zenon_H62 zenon_H5d zenon_H1cb.
% 9.95/10.12 elim (classic ((op (e0) (e3)) = (op (e0) (e3)))); [ zenon_intro zenon_H59 | zenon_intro zenon_H5a ].
% 9.95/10.12 cut (((op (e0) (e3)) = (op (e0) (e3))) = ((op (e0) (e2)) = (op (e0) (e3)))).
% 9.95/10.12 intro zenon_D_pnotp.
% 9.95/10.12 apply zenon_H1cb.
% 9.95/10.12 rewrite <- zenon_D_pnotp.
% 9.95/10.12 exact zenon_H59.
% 9.95/10.12 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H5a].
% 9.95/10.12 cut (((op (e0) (e3)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1cc].
% 9.95/10.12 congruence.
% 9.95/10.12 cut (((op (e0) (e3)) = (e1)) = ((op (e0) (e3)) = (op (e0) (e2)))).
% 9.95/10.12 intro zenon_D_pnotp.
% 9.95/10.12 apply zenon_H1cc.
% 9.95/10.12 rewrite <- zenon_D_pnotp.
% 9.95/10.12 exact zenon_H62.
% 9.95/10.12 cut (((e1) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1ca].
% 9.95/10.12 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H5a].
% 9.95/10.12 congruence.
% 9.95/10.12 apply zenon_H5a. apply refl_equal.
% 9.95/10.12 apply zenon_H1ca. apply sym_equal. exact zenon_H5d.
% 9.95/10.12 apply zenon_H5a. apply refl_equal.
% 9.95/10.12 apply zenon_H5a. apply refl_equal.
% 9.95/10.12 (* end of lemma zenon_L229_ *)
% 9.95/10.12 assert (zenon_L230_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False).
% 9.95/10.12 do 0 intro. intros zenon_H103 zenon_H1cb zenon_H62 zenon_H101 zenon_H5e zenon_H91 zenon_H4c zenon_Hed.
% 9.95/10.12 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H5d | zenon_intro zenon_H104 ].
% 9.95/10.12 apply (zenon_L229_); trivial.
% 9.95/10.12 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_H100 | zenon_intro zenon_H105 ].
% 9.95/10.12 apply (zenon_L71_); trivial.
% 9.95/10.12 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf3 ].
% 9.95/10.12 exact (zenon_H91 zenon_H94).
% 9.95/10.12 apply (zenon_L64_); trivial.
% 9.95/10.12 (* end of lemma zenon_L230_ *)
% 9.95/10.12 assert (zenon_L231_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False).
% 9.95/10.12 do 0 intro. intros zenon_H108 zenon_H2a zenon_H132 zenon_H4c zenon_H91 zenon_H5e zenon_H62 zenon_H1cb zenon_H103 zenon_Hb1 zenon_H53 zenon_Hed.
% 9.95/10.12 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H51 | zenon_intro zenon_H109 ].
% 9.95/10.12 apply (zenon_L101_); trivial.
% 9.95/10.12 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H101 | zenon_intro zenon_H10a ].
% 9.95/10.12 apply (zenon_L230_); trivial.
% 9.95/10.12 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H106 ].
% 9.95/10.12 exact (zenon_Hb1 zenon_Hb7).
% 9.95/10.12 apply (zenon_L73_); trivial.
% 9.95/10.12 (* end of lemma zenon_L231_ *)
% 9.95/10.12 assert (zenon_L232_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (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)) = (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) (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)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> False).
% 9.95/10.12 do 0 intro. intros zenon_Hf8 zenon_H56 zenon_H42 zenon_H6e zenon_H6f zenon_H35 zenon_H27 zenon_H108 zenon_H53 zenon_Hb1 zenon_H1cb zenon_H91 zenon_H4c zenon_H103 zenon_H132 zenon_H64 zenon_H145 zenon_H86 zenon_H7e zenon_H7d zenon_H100 zenon_H5e zenon_He8 zenon_H2a zenon_H12f zenon_H1b7 zenon_H7a zenon_Hd0 zenon_H181 zenon_H9a zenon_H187 zenon_H58 zenon_H18d.
% 9.95/10.12 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 9.95/10.12 apply (zenon_L226_); trivial.
% 9.95/10.12 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 9.95/10.12 exact (zenon_H56 zenon_H2c).
% 9.95/10.12 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 9.95/10.12 apply (zenon_L227_); trivial.
% 9.95/10.12 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 9.95/10.12 apply (zenon_L228_); trivial.
% 9.95/10.12 apply (zenon_L231_); trivial.
% 9.95/10.12 (* end of lemma zenon_L232_ *)
% 9.95/10.12 assert (zenon_L233_ : ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((e1) = (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)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((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)) = (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 (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> False).
% 9.95/10.12 do 0 intro. intros zenon_H158 zenon_H145 zenon_H9a zenon_H5e zenon_H155 zenon_H91 zenon_Hc5 zenon_He8 zenon_H2a zenon_H12f zenon_Hf8 zenon_H56 zenon_H42 zenon_H6e zenon_H6f zenon_H35 zenon_H27 zenon_H108 zenon_H53 zenon_Hb1 zenon_H1cb zenon_H4c zenon_H103 zenon_H132 zenon_H64 zenon_H86 zenon_H7e zenon_H7d zenon_H100 zenon_H1b7 zenon_H7a zenon_H181 zenon_H187 zenon_H58 zenon_H18d zenon_Hd2.
% 9.95/10.12 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 9.95/10.12 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 9.95/10.12 apply (zenon_L193_); trivial.
% 9.95/10.12 apply (zenon_L232_); trivial.
% 9.95/10.12 apply (zenon_L223_); trivial.
% 9.95/10.12 (* end of lemma zenon_L233_ *)
% 9.95/10.12 assert (zenon_L234_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 9.95/10.12 do 0 intro. intros zenon_H90 zenon_Hcf zenon_H35 zenon_Hd3 zenon_H1e zenon_H91 zenon_H17c zenon_H9a.
% 9.95/10.12 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H76 | zenon_intro zenon_H92 ].
% 9.95/10.12 apply (zenon_L47_); trivial.
% 9.95/10.12 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H77 | zenon_intro zenon_H93 ].
% 9.95/10.12 apply (zenon_L196_); trivial.
% 9.95/10.12 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H94 | zenon_intro zenon_H8a ].
% 9.95/10.12 exact (zenon_H91 zenon_H94).
% 9.95/10.12 apply (zenon_L166_); trivial.
% 9.95/10.12 (* end of lemma zenon_L234_ *)
% 9.95/10.12 assert (zenon_L235_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (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 (e1) (e2)) = (e1)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 9.95/10.12 do 0 intro. intros zenon_H64 zenon_H56 zenon_H17c zenon_H91 zenon_Hd3 zenon_H35 zenon_Hcf zenon_H90 zenon_H6f zenon_H100 zenon_H9a zenon_H187.
% 9.95/10.12 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 9.95/10.12 exact (zenon_H56 zenon_H2c).
% 9.95/10.12 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 9.95/10.12 apply (zenon_L234_); trivial.
% 9.95/10.12 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 9.95/10.12 apply (zenon_L228_); trivial.
% 9.95/10.12 apply (zenon_L202_); trivial.
% 9.95/10.12 (* end of lemma zenon_L235_ *)
% 9.95/10.12 assert (zenon_L236_ : ((op (e1) (e0)) = (e1)) -> ((op (e1) (e0)) = (e3)) -> (~((e1) = (e3))) -> False).
% 9.95/10.12 do 0 intro. intros zenon_H15a zenon_H6c zenon_H4c.
% 9.95/10.12 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H4d | zenon_intro zenon_H4e ].
% 9.95/10.12 cut (((e3) = (e3)) = ((e1) = (e3))).
% 9.95/10.12 intro zenon_D_pnotp.
% 9.95/10.12 apply zenon_H4c.
% 9.95/10.12 rewrite <- zenon_D_pnotp.
% 9.95/10.12 exact zenon_H4d.
% 9.95/10.12 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 9.95/10.12 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4f].
% 9.95/10.12 congruence.
% 9.95/10.12 cut (((op (e1) (e0)) = (e1)) = ((e3) = (e1))).
% 9.95/10.12 intro zenon_D_pnotp.
% 9.95/10.12 apply zenon_H4f.
% 9.95/10.12 rewrite <- zenon_D_pnotp.
% 9.95/10.12 exact zenon_H15a.
% 9.95/10.12 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 9.95/10.12 cut (((op (e1) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H6d].
% 9.95/10.12 congruence.
% 9.95/10.12 exact (zenon_H6d zenon_H6c).
% 9.95/10.12 apply zenon_H33. apply refl_equal.
% 9.95/10.12 apply zenon_H4e. apply refl_equal.
% 9.95/10.12 apply zenon_H4e. apply refl_equal.
% 9.95/10.12 (* end of lemma zenon_L236_ *)
% 9.95/10.12 assert (zenon_L237_ : ((op (e1) (e2)) = (e2)) -> ((op (e1) (e2)) = (e3)) -> (~((e2) = (e3))) -> False).
% 9.95/10.12 do 0 intro. intros zenon_H6e zenon_H161 zenon_H95.
% 9.95/10.12 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H4d | zenon_intro zenon_H4e ].
% 9.95/10.12 cut (((e3) = (e3)) = ((e2) = (e3))).
% 9.95/10.12 intro zenon_D_pnotp.
% 9.95/10.12 apply zenon_H95.
% 9.95/10.12 rewrite <- zenon_D_pnotp.
% 9.95/10.12 exact zenon_H4d.
% 9.95/10.12 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 9.95/10.12 cut (((e3) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H96].
% 9.95/10.12 congruence.
% 9.95/10.12 cut (((op (e1) (e2)) = (e2)) = ((e3) = (e2))).
% 9.95/10.12 intro zenon_D_pnotp.
% 9.95/10.12 apply zenon_H96.
% 9.95/10.12 rewrite <- zenon_D_pnotp.
% 9.95/10.12 exact zenon_H6e.
% 9.95/10.12 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 9.95/10.12 cut (((op (e1) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H1cd].
% 9.95/10.12 congruence.
% 9.95/10.12 exact (zenon_H1cd zenon_H161).
% 9.95/10.12 apply zenon_H37. apply refl_equal.
% 9.95/10.12 apply zenon_H4e. apply refl_equal.
% 9.95/10.12 apply zenon_H4e. apply refl_equal.
% 9.95/10.12 (* end of lemma zenon_L237_ *)
% 9.95/10.12 assert (zenon_L238_ : ((op (e1) (e0)) = (e1)) -> ((op (e1) (e0)) = (e2)) -> (~((e1) = (e2))) -> False).
% 9.95/10.12 do 0 intro. intros zenon_H15a zenon_H6a zenon_H35.
% 9.95/10.12 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ].
% 9.95/10.12 cut (((e2) = (e2)) = ((e1) = (e2))).
% 9.95/10.12 intro zenon_D_pnotp.
% 9.95/10.12 apply zenon_H35.
% 9.95/10.12 rewrite <- zenon_D_pnotp.
% 9.95/10.12 exact zenon_H36.
% 9.95/10.12 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 9.95/10.12 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 9.95/10.12 congruence.
% 9.95/10.12 cut (((op (e1) (e0)) = (e1)) = ((e2) = (e1))).
% 9.95/10.12 intro zenon_D_pnotp.
% 9.95/10.12 apply zenon_H38.
% 9.95/10.12 rewrite <- zenon_D_pnotp.
% 9.95/10.12 exact zenon_H15a.
% 9.95/10.12 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 9.95/10.12 cut (((op (e1) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 9.95/10.12 congruence.
% 9.95/10.12 exact (zenon_H6b zenon_H6a).
% 9.95/10.12 apply zenon_H33. apply refl_equal.
% 9.95/10.12 apply zenon_H37. apply refl_equal.
% 9.95/10.12 apply zenon_H37. apply refl_equal.
% 9.95/10.12 (* end of lemma zenon_L238_ *)
% 9.95/10.12 assert (zenon_L239_ : ((op (e1) (e3)) = (e3)) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> False).
% 9.95/10.12 do 0 intro. intros zenon_H188 zenon_H6c zenon_H198.
% 9.95/10.12 elim (classic ((op (e1) (e3)) = (op (e1) (e3)))); [ zenon_intro zenon_H1ab | zenon_intro zenon_H88 ].
% 9.95/10.12 cut (((op (e1) (e3)) = (op (e1) (e3))) = ((op (e1) (e0)) = (op (e1) (e3)))).
% 9.95/10.12 intro zenon_D_pnotp.
% 9.95/10.12 apply zenon_H198.
% 9.95/10.12 rewrite <- zenon_D_pnotp.
% 9.95/10.12 exact zenon_H1ab.
% 9.95/10.12 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H88].
% 9.95/10.12 cut (((op (e1) (e3)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1ce].
% 9.95/10.12 congruence.
% 9.95/10.12 cut (((op (e1) (e3)) = (e3)) = ((op (e1) (e3)) = (op (e1) (e0)))).
% 9.95/10.12 intro zenon_D_pnotp.
% 9.95/10.12 apply zenon_H1ce.
% 9.95/10.12 rewrite <- zenon_D_pnotp.
% 9.95/10.12 exact zenon_H188.
% 9.95/10.12 cut (((e3) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H172].
% 9.95/10.12 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H88].
% 9.95/10.12 congruence.
% 9.95/10.12 apply zenon_H88. apply refl_equal.
% 9.95/10.12 apply zenon_H172. apply sym_equal. exact zenon_H6c.
% 9.95/10.12 apply zenon_H88. apply refl_equal.
% 9.95/10.12 apply zenon_H88. apply refl_equal.
% 9.95/10.12 (* end of lemma zenon_L239_ *)
% 9.95/10.12 assert (zenon_L240_ : (~((op (op (e3) (e3)) (e3)) = (op (e0) (e3)))) -> ((op (e3) (e3)) = (e0)) -> False).
% 9.95/10.12 do 0 intro. intros zenon_H1cf zenon_H7b.
% 9.95/10.12 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 9.95/10.12 cut (((op (e3) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H8d].
% 9.95/10.12 congruence.
% 9.95/10.12 exact (zenon_H8d zenon_H7b).
% 9.95/10.12 apply zenon_H4e. apply refl_equal.
% 9.95/10.12 (* end of lemma zenon_L240_ *)
% 9.95/10.12 assert (zenon_L241_ : ((op (e2) (e3)) = (e1)) -> ((op (e0) (e3)) = (e2)) -> ((op (e3) (e3)) = (e0)) -> False).
% 9.95/10.12 do 0 intro. intros zenon_H8a zenon_H47 zenon_H7b.
% 9.95/10.12 apply (zenon_notand_s _ _ ax6); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d0 ].
% 9.95/10.12 apply zenon_H7c. apply sym_equal. exact zenon_H7b.
% 9.95/10.12 apply (zenon_notand_s _ _ zenon_H1d0); [ zenon_intro zenon_H1d1 | zenon_intro zenon_Ha0 ].
% 9.95/10.12 elim (classic ((op (op (op (e3) (e3)) (e3)) (e3)) = (op (op (op (e3) (e3)) (e3)) (e3)))); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Ha3 ].
% 9.95/10.12 cut (((op (op (op (e3) (e3)) (e3)) (e3)) = (op (op (op (e3) (e3)) (e3)) (e3))) = ((e1) = (op (op (op (e3) (e3)) (e3)) (e3)))).
% 9.95/10.12 intro zenon_D_pnotp.
% 9.95/10.12 apply zenon_H1d1.
% 9.95/10.12 rewrite <- zenon_D_pnotp.
% 9.95/10.12 exact zenon_Ha2.
% 9.95/10.12 cut (((op (op (op (e3) (e3)) (e3)) (e3)) = (op (op (op (e3) (e3)) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Ha3].
% 9.95/10.12 cut (((op (op (op (e3) (e3)) (e3)) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H1d2].
% 9.95/10.12 congruence.
% 9.95/10.12 cut (((op (e2) (e3)) = (e1)) = ((op (op (op (e3) (e3)) (e3)) (e3)) = (e1))).
% 9.95/10.12 intro zenon_D_pnotp.
% 9.95/10.12 apply zenon_H1d2.
% 9.95/10.12 rewrite <- zenon_D_pnotp.
% 9.95/10.12 exact zenon_H8a.
% 9.95/10.12 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 9.95/10.12 cut (((op (e2) (e3)) = (op (op (op (e3) (e3)) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Ha5].
% 9.95/10.12 congruence.
% 9.95/10.12 elim (classic ((op (op (op (e3) (e3)) (e3)) (e3)) = (op (op (op (e3) (e3)) (e3)) (e3)))); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Ha3 ].
% 9.95/10.12 cut (((op (op (op (e3) (e3)) (e3)) (e3)) = (op (op (op (e3) (e3)) (e3)) (e3))) = ((op (e2) (e3)) = (op (op (op (e3) (e3)) (e3)) (e3)))).
% 9.95/10.12 intro zenon_D_pnotp.
% 9.95/10.12 apply zenon_Ha5.
% 9.95/10.12 rewrite <- zenon_D_pnotp.
% 9.95/10.12 exact zenon_Ha2.
% 9.95/10.12 cut (((op (op (op (e3) (e3)) (e3)) (e3)) = (op (op (op (e3) (e3)) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Ha3].
% 9.95/10.12 cut (((op (op (op (e3) (e3)) (e3)) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Ha6].
% 9.95/10.12 congruence.
% 9.95/10.12 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 9.95/10.12 cut (((op (op (e3) (e3)) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Ha7].
% 9.95/10.12 congruence.
% 9.95/10.12 cut (((op (e0) (e3)) = (e2)) = ((op (op (e3) (e3)) (e3)) = (e2))).
% 9.95/10.12 intro zenon_D_pnotp.
% 9.95/10.12 apply zenon_Ha7.
% 9.95/10.12 rewrite <- zenon_D_pnotp.
% 9.95/10.12 exact zenon_H47.
% 9.95/10.12 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 9.95/10.12 cut (((op (e0) (e3)) = (op (op (e3) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1d3].
% 9.95/10.12 congruence.
% 9.95/10.12 elim (classic ((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Haa ].
% 9.95/10.12 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3))) = ((op (e0) (e3)) = (op (op (e3) (e3)) (e3)))).
% 9.95/10.12 intro zenon_D_pnotp.
% 9.95/10.12 apply zenon_H1d3.
% 9.95/10.12 rewrite <- zenon_D_pnotp.
% 9.95/10.12 exact zenon_Ha9.
% 9.95/10.12 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Haa].
% 9.95/10.12 cut (((op (op (e3) (e3)) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1cf].
% 9.95/10.12 congruence.
% 9.95/10.12 apply (zenon_L240_); trivial.
% 9.95/10.12 apply zenon_Haa. apply refl_equal.
% 9.95/10.12 apply zenon_Haa. apply refl_equal.
% 9.95/10.12 apply zenon_H37. apply refl_equal.
% 9.95/10.12 apply zenon_H4e. apply refl_equal.
% 9.95/10.12 apply zenon_Ha3. apply refl_equal.
% 9.95/10.12 apply zenon_Ha3. apply refl_equal.
% 9.95/10.12 apply zenon_H33. apply refl_equal.
% 9.95/10.12 apply zenon_Ha3. apply refl_equal.
% 9.95/10.12 apply zenon_Ha3. apply refl_equal.
% 9.95/10.12 elim (classic ((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Haa ].
% 9.95/10.12 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3))) = ((e2) = (op (op (e3) (e3)) (e3)))).
% 9.95/10.12 intro zenon_D_pnotp.
% 9.95/10.12 apply zenon_Ha0.
% 9.95/10.12 rewrite <- zenon_D_pnotp.
% 9.95/10.12 exact zenon_Ha9.
% 9.95/10.12 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Haa].
% 9.95/10.12 cut (((op (op (e3) (e3)) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Ha7].
% 9.95/10.12 congruence.
% 9.95/10.12 cut (((op (e0) (e3)) = (e2)) = ((op (op (e3) (e3)) (e3)) = (e2))).
% 9.95/10.12 intro zenon_D_pnotp.
% 9.95/10.12 apply zenon_Ha7.
% 9.95/10.12 rewrite <- zenon_D_pnotp.
% 9.95/10.12 exact zenon_H47.
% 9.95/10.12 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 9.95/10.12 cut (((op (e0) (e3)) = (op (op (e3) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1d3].
% 9.95/10.12 congruence.
% 9.95/10.12 elim (classic ((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Haa ].
% 9.95/10.12 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3))) = ((op (e0) (e3)) = (op (op (e3) (e3)) (e3)))).
% 9.95/10.12 intro zenon_D_pnotp.
% 9.95/10.12 apply zenon_H1d3.
% 9.95/10.12 rewrite <- zenon_D_pnotp.
% 9.95/10.12 exact zenon_Ha9.
% 9.95/10.12 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Haa].
% 9.95/10.12 cut (((op (op (e3) (e3)) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1cf].
% 9.95/10.12 congruence.
% 9.95/10.12 apply (zenon_L240_); trivial.
% 9.95/10.12 apply zenon_Haa. apply refl_equal.
% 9.95/10.12 apply zenon_Haa. apply refl_equal.
% 9.95/10.12 apply zenon_H37. apply refl_equal.
% 9.95/10.12 apply zenon_Haa. apply refl_equal.
% 9.95/10.12 apply zenon_Haa. apply refl_equal.
% 9.95/10.12 (* end of lemma zenon_L241_ *)
% 9.95/10.12 assert (zenon_L242_ : ((op (e1) (e3)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> ((op (e3) (e3)) = (e0)) -> False).
% 9.95/10.12 do 0 intro. intros zenon_H9b zenon_H62 zenon_H7b.
% 9.95/10.12 apply (zenon_notand_s _ _ ax8); [ zenon_intro zenon_H7c | zenon_intro zenon_H1d4 ].
% 9.95/10.12 apply zenon_H7c. apply sym_equal. exact zenon_H7b.
% 9.95/10.12 apply (zenon_notand_s _ _ zenon_H1d4); [ zenon_intro zenon_H123 | zenon_intro zenon_H1d5 ].
% 9.95/10.12 elim (classic ((op (op (op (e3) (e3)) (e3)) (e3)) = (op (op (op (e3) (e3)) (e3)) (e3)))); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Ha3 ].
% 9.95/10.12 cut (((op (op (op (e3) (e3)) (e3)) (e3)) = (op (op (op (e3) (e3)) (e3)) (e3))) = ((e2) = (op (op (op (e3) (e3)) (e3)) (e3)))).
% 9.95/10.12 intro zenon_D_pnotp.
% 9.95/10.12 apply zenon_H123.
% 9.95/10.12 rewrite <- zenon_D_pnotp.
% 9.95/10.12 exact zenon_Ha2.
% 9.95/10.12 cut (((op (op (op (e3) (e3)) (e3)) (e3)) = (op (op (op (e3) (e3)) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Ha3].
% 9.95/10.12 cut (((op (op (op (e3) (e3)) (e3)) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H124].
% 9.95/10.12 congruence.
% 9.95/10.12 cut (((op (e1) (e3)) = (e2)) = ((op (op (op (e3) (e3)) (e3)) (e3)) = (e2))).
% 9.95/10.12 intro zenon_D_pnotp.
% 9.95/10.12 apply zenon_H124.
% 9.95/10.12 rewrite <- zenon_D_pnotp.
% 9.95/10.12 exact zenon_H9b.
% 9.95/10.12 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 9.95/10.12 cut (((op (e1) (e3)) = (op (op (op (e3) (e3)) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1d6].
% 9.95/10.12 congruence.
% 9.95/10.12 elim (classic ((op (op (op (e3) (e3)) (e3)) (e3)) = (op (op (op (e3) (e3)) (e3)) (e3)))); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Ha3 ].
% 9.95/10.12 cut (((op (op (op (e3) (e3)) (e3)) (e3)) = (op (op (op (e3) (e3)) (e3)) (e3))) = ((op (e1) (e3)) = (op (op (op (e3) (e3)) (e3)) (e3)))).
% 9.95/10.12 intro zenon_D_pnotp.
% 9.95/10.12 apply zenon_H1d6.
% 9.95/10.12 rewrite <- zenon_D_pnotp.
% 9.95/10.12 exact zenon_Ha2.
% 9.95/10.12 cut (((op (op (op (e3) (e3)) (e3)) (e3)) = (op (op (op (e3) (e3)) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Ha3].
% 9.95/10.12 cut (((op (op (op (e3) (e3)) (e3)) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1d7].
% 9.95/10.12 congruence.
% 9.95/10.12 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 9.95/10.12 cut (((op (op (e3) (e3)) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H1d8].
% 9.95/10.12 congruence.
% 9.95/10.12 cut (((op (e0) (e3)) = (e1)) = ((op (op (e3) (e3)) (e3)) = (e1))).
% 9.95/10.12 intro zenon_D_pnotp.
% 9.95/10.12 apply zenon_H1d8.
% 9.95/10.12 rewrite <- zenon_D_pnotp.
% 9.95/10.12 exact zenon_H62.
% 9.95/10.12 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 9.95/10.12 cut (((op (e0) (e3)) = (op (op (e3) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1d3].
% 9.95/10.12 congruence.
% 9.95/10.12 elim (classic ((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Haa ].
% 9.95/10.12 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3))) = ((op (e0) (e3)) = (op (op (e3) (e3)) (e3)))).
% 9.95/10.12 intro zenon_D_pnotp.
% 9.95/10.12 apply zenon_H1d3.
% 9.95/10.12 rewrite <- zenon_D_pnotp.
% 9.95/10.12 exact zenon_Ha9.
% 9.95/10.12 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Haa].
% 9.95/10.12 cut (((op (op (e3) (e3)) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1cf].
% 9.95/10.12 congruence.
% 9.95/10.12 apply (zenon_L240_); trivial.
% 9.95/10.12 apply zenon_Haa. apply refl_equal.
% 9.95/10.12 apply zenon_Haa. apply refl_equal.
% 9.95/10.12 apply zenon_H33. apply refl_equal.
% 9.95/10.12 apply zenon_H4e. apply refl_equal.
% 9.95/10.12 apply zenon_Ha3. apply refl_equal.
% 9.95/10.12 apply zenon_Ha3. apply refl_equal.
% 9.95/10.12 apply zenon_H37. apply refl_equal.
% 9.95/10.12 apply zenon_Ha3. apply refl_equal.
% 9.95/10.12 apply zenon_Ha3. apply refl_equal.
% 9.95/10.12 elim (classic ((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Haa ].
% 9.95/10.12 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3))) = ((e1) = (op (op (e3) (e3)) (e3)))).
% 9.95/10.12 intro zenon_D_pnotp.
% 9.95/10.12 apply zenon_H1d5.
% 9.95/10.12 rewrite <- zenon_D_pnotp.
% 9.95/10.12 exact zenon_Ha9.
% 9.95/10.12 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Haa].
% 9.95/10.12 cut (((op (op (e3) (e3)) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H1d8].
% 9.95/10.12 congruence.
% 9.95/10.12 cut (((op (e0) (e3)) = (e1)) = ((op (op (e3) (e3)) (e3)) = (e1))).
% 9.95/10.12 intro zenon_D_pnotp.
% 9.95/10.12 apply zenon_H1d8.
% 9.95/10.12 rewrite <- zenon_D_pnotp.
% 9.95/10.12 exact zenon_H62.
% 9.95/10.12 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 9.95/10.12 cut (((op (e0) (e3)) = (op (op (e3) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1d3].
% 9.95/10.12 congruence.
% 9.95/10.12 elim (classic ((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Haa ].
% 9.95/10.12 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3))) = ((op (e0) (e3)) = (op (op (e3) (e3)) (e3)))).
% 9.95/10.12 intro zenon_D_pnotp.
% 9.95/10.12 apply zenon_H1d3.
% 9.95/10.12 rewrite <- zenon_D_pnotp.
% 9.95/10.12 exact zenon_Ha9.
% 9.95/10.13 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Haa].
% 9.95/10.13 cut (((op (op (e3) (e3)) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1cf].
% 9.95/10.13 congruence.
% 9.95/10.13 apply (zenon_L240_); trivial.
% 9.95/10.13 apply zenon_Haa. apply refl_equal.
% 9.95/10.13 apply zenon_Haa. apply refl_equal.
% 9.95/10.13 apply zenon_H33. apply refl_equal.
% 9.95/10.13 apply zenon_Haa. apply refl_equal.
% 9.95/10.13 apply zenon_Haa. apply refl_equal.
% 9.95/10.13 (* end of lemma zenon_L242_ *)
% 9.95/10.13 assert (zenon_L243_ : (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> ((op (e1) (e3)) = (e2)) -> False).
% 9.95/10.13 do 0 intro. intros zenon_H187 zenon_H47 zenon_H9b.
% 9.95/10.13 cut (((op (e0) (e3)) = (e2)) = ((op (e0) (e3)) = (op (e1) (e3)))).
% 9.95/10.13 intro zenon_D_pnotp.
% 9.95/10.13 apply zenon_H187.
% 9.95/10.13 rewrite <- zenon_D_pnotp.
% 9.95/10.13 exact zenon_H47.
% 9.95/10.13 cut (((e2) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H180].
% 9.95/10.13 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H5a].
% 9.95/10.13 congruence.
% 9.95/10.13 apply zenon_H5a. apply refl_equal.
% 9.95/10.13 apply zenon_H180. apply sym_equal. exact zenon_H9b.
% 9.95/10.13 (* end of lemma zenon_L243_ *)
% 9.95/10.13 assert (zenon_L244_ : (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e0)) -> ((op (e1) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> False).
% 9.95/10.13 do 0 intro. intros zenon_H1b7 zenon_H7a zenon_H7b zenon_H9b zenon_H187 zenon_H188.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H43 | zenon_intro zenon_H1b8 ].
% 9.95/10.13 apply (zenon_L23_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b9 ].
% 9.95/10.13 apply (zenon_L242_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H47 | zenon_intro zenon_H57 ].
% 9.95/10.13 apply (zenon_L243_); trivial.
% 9.95/10.13 apply (zenon_L167_); trivial.
% 9.95/10.13 (* end of lemma zenon_L244_ *)
% 9.95/10.13 assert (zenon_L245_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e3)) = (e1)) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 9.95/10.13 do 0 intro. intros zenon_H128 zenon_H8a zenon_H188 zenon_H187 zenon_H7b zenon_H7a zenon_H1b7 zenon_Hbc zenon_H95 zenon_Hce zenon_H1c3 zenon_H2a zenon_H1ba zenon_H15a zenon_H1bc zenon_H1c0 zenon_H27 zenon_Hdd zenon_H7f.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H47 | zenon_intro zenon_H129 ].
% 9.95/10.13 apply (zenon_L241_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H9b | zenon_intro zenon_H12a ].
% 9.95/10.13 apply (zenon_L244_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H85 ].
% 9.95/10.13 apply (zenon_L221_); trivial.
% 9.95/10.13 exact (zenon_H7f zenon_H85).
% 9.95/10.13 (* end of lemma zenon_L245_ *)
% 9.95/10.13 assert (zenon_L246_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((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) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (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 (e3) (e0)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 9.95/10.13 do 0 intro. intros zenon_H90 zenon_Hcf zenon_H35 zenon_Hd3 zenon_H1e zenon_H91 zenon_H8c zenon_H58 zenon_H80 zenon_H7e zenon_H86 zenon_H7d zenon_H5e zenon_H128 zenon_H188 zenon_H187 zenon_H7a zenon_H1b7 zenon_Hbc zenon_H95 zenon_Hce zenon_H1c3 zenon_H2a zenon_H1ba zenon_H15a zenon_H1bc zenon_H1c0 zenon_H27 zenon_Hdd zenon_H7f.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H76 | zenon_intro zenon_H92 ].
% 9.95/10.13 apply (zenon_L47_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H77 | zenon_intro zenon_H93 ].
% 9.95/10.13 apply (zenon_L196_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H94 | zenon_intro zenon_H8a ].
% 9.95/10.13 exact (zenon_H91 zenon_H94).
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H43 | zenon_intro zenon_H8e ].
% 9.95/10.13 apply (zenon_L213_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H87 | zenon_intro zenon_H8f ].
% 9.95/10.13 apply (zenon_L26_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H7b ].
% 9.95/10.13 apply (zenon_L27_); trivial.
% 9.95/10.13 apply (zenon_L245_); trivial.
% 9.95/10.13 (* end of lemma zenon_L246_ *)
% 9.95/10.13 assert (zenon_L247_ : (~((op (e3) (e3)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (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)) = (e3)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (((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)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False).
% 9.95/10.13 do 0 intro. intros zenon_H7f zenon_Hdd zenon_H27 zenon_H1c0 zenon_H1bc zenon_H15a zenon_H1ba zenon_H2a zenon_H1c3 zenon_Hce zenon_H1b7 zenon_H7a zenon_H187 zenon_H188 zenon_H128 zenon_H5e zenon_H7d zenon_H86 zenon_H7e zenon_H80 zenon_H58 zenon_H8c zenon_H91 zenon_H1e zenon_Hd3 zenon_H35 zenon_H90 zenon_H95 zenon_Hbc.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hdf ].
% 9.95/10.13 exact (zenon_H27 zenon_H32).
% 9.95/10.13 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H6a | zenon_intro zenon_He0 ].
% 9.95/10.13 apply (zenon_L220_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd8 ].
% 9.95/10.13 apply (zenon_L246_); trivial.
% 9.95/10.13 apply (zenon_L51_); trivial.
% 9.95/10.13 (* end of lemma zenon_L247_ *)
% 9.95/10.13 assert (zenon_L248_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e3) (e3)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (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)) = (e3)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (((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)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e2) = (e3))) -> False).
% 9.95/10.13 do 0 intro. intros zenon_Hda zenon_H28 zenon_H198 zenon_Hcf zenon_H7f zenon_Hdd zenon_H27 zenon_H1c0 zenon_H1bc zenon_H15a zenon_H1ba zenon_H2a zenon_H1c3 zenon_Hce zenon_H1b7 zenon_H7a zenon_H187 zenon_H188 zenon_H128 zenon_H5e zenon_H7d zenon_H86 zenon_H7e zenon_H80 zenon_H58 zenon_H8c zenon_H91 zenon_H1e zenon_Hd3 zenon_H35 zenon_H90 zenon_H95.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdb ].
% 9.95/10.13 exact (zenon_H28 zenon_H31).
% 9.95/10.13 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H6c | zenon_intro zenon_Hdc ].
% 9.95/10.13 apply (zenon_L239_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H74 | zenon_intro zenon_Hbc ].
% 9.95/10.13 apply (zenon_L155_); trivial.
% 9.95/10.13 apply (zenon_L247_); trivial.
% 9.95/10.13 (* end of lemma zenon_L248_ *)
% 9.95/10.13 assert (zenon_L249_ : (((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)) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e2)) -> False).
% 9.95/10.13 do 0 intro. intros zenon_Hda zenon_H28 zenon_H4c zenon_H15a zenon_H53 zenon_H73 zenon_H95 zenon_Hd8.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdb ].
% 9.95/10.13 exact (zenon_H28 zenon_H31).
% 9.95/10.13 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H6c | zenon_intro zenon_Hdc ].
% 9.95/10.13 apply (zenon_L236_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H74 | zenon_intro zenon_Hbc ].
% 9.95/10.13 apply (zenon_L20_); trivial.
% 9.95/10.13 apply (zenon_L51_); trivial.
% 9.95/10.13 (* end of lemma zenon_L249_ *)
% 9.95/10.13 assert (zenon_L250_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> ((op (e2) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 9.95/10.13 do 0 intro. intros zenon_H90 zenon_H4c zenon_H74 zenon_Hd3 zenon_H1e zenon_H91 zenon_H89 zenon_H5e.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H76 | zenon_intro zenon_H92 ].
% 9.95/10.13 apply (zenon_L21_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H77 | zenon_intro zenon_H93 ].
% 9.95/10.13 apply (zenon_L196_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H94 | zenon_intro zenon_H8a ].
% 9.95/10.13 exact (zenon_H91 zenon_H94).
% 9.95/10.13 apply (zenon_L27_); trivial.
% 9.95/10.13 (* end of lemma zenon_L250_ *)
% 9.95/10.13 assert (zenon_L251_ : (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e1) = (e3))) -> (~((op (e2) (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)) = (e3))) -> (~((e0) = (e3))) -> ((op (e3) (e0)) = (e2)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (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)) = (e3)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (((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)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e2) = (e3))) -> False).
% 9.95/10.13 do 0 intro. intros zenon_H198 zenon_H4c zenon_Hb1 zenon_H8d zenon_Hda zenon_H28 zenon_H53 zenon_Hd8 zenon_Hb0 zenon_H7f zenon_Hdd zenon_H27 zenon_H1c0 zenon_H1bc zenon_H15a zenon_H1ba zenon_H2a zenon_H1c3 zenon_Hce zenon_H1b7 zenon_H7a zenon_H187 zenon_H188 zenon_H128 zenon_H5e zenon_H7d zenon_H86 zenon_H7e zenon_H80 zenon_H58 zenon_H8c zenon_H91 zenon_H1e zenon_Hd3 zenon_H35 zenon_H90 zenon_H95.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdb ].
% 9.95/10.13 exact (zenon_H28 zenon_H31).
% 9.95/10.13 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H6c | zenon_intro zenon_Hdc ].
% 9.95/10.13 apply (zenon_L239_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H74 | zenon_intro zenon_Hbc ].
% 9.95/10.13 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hb5 ].
% 9.95/10.13 apply (zenon_L249_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H78 | zenon_intro zenon_Hb6 ].
% 9.95/10.13 apply (zenon_L29_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H89 ].
% 9.95/10.13 exact (zenon_Hb1 zenon_Hb7).
% 9.95/10.13 apply (zenon_L250_); trivial.
% 9.95/10.13 apply (zenon_L247_); trivial.
% 9.95/10.13 (* end of lemma zenon_L251_ *)
% 9.95/10.13 assert (zenon_L252_ : ((op (e3) (e3)) = (e3)) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 9.95/10.13 do 0 intro. intros zenon_H84 zenon_H188 zenon_H86.
% 9.95/10.13 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hfa ].
% 9.95/10.13 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e1) (e3)) = (op (e3) (e3)))).
% 9.95/10.13 intro zenon_D_pnotp.
% 9.95/10.13 apply zenon_H86.
% 9.95/10.13 rewrite <- zenon_D_pnotp.
% 9.95/10.13 exact zenon_Hf9.
% 9.95/10.13 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hfa].
% 9.95/10.13 cut (((op (e3) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1d9].
% 9.95/10.13 congruence.
% 9.95/10.13 cut (((op (e3) (e3)) = (e3)) = ((op (e3) (e3)) = (op (e1) (e3)))).
% 9.95/10.13 intro zenon_D_pnotp.
% 9.95/10.13 apply zenon_H1d9.
% 9.95/10.13 rewrite <- zenon_D_pnotp.
% 9.95/10.13 exact zenon_H84.
% 9.95/10.13 cut (((e3) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H189].
% 9.95/10.13 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hfa].
% 9.95/10.13 congruence.
% 9.95/10.13 apply zenon_Hfa. apply refl_equal.
% 9.95/10.13 apply zenon_H189. apply sym_equal. exact zenon_H188.
% 9.95/10.13 apply zenon_Hfa. apply refl_equal.
% 9.95/10.13 apply zenon_Hfa. apply refl_equal.
% 9.95/10.13 (* end of lemma zenon_L252_ *)
% 9.95/10.13 assert (zenon_L253_ : ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e3) (e3)) = (e0))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (((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) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (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 (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((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)) = (e0)) -> (~((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 (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> False).
% 9.95/10.13 do 0 intro. intros zenon_H18d zenon_H56 zenon_Hb0 zenon_Hb1 zenon_H8d zenon_H4c zenon_H53 zenon_H28 zenon_H198 zenon_H188 zenon_H95 zenon_Hd3 zenon_H91 zenon_H8c zenon_H1b7 zenon_H187 zenon_H7a zenon_Hdd zenon_Hce zenon_H128 zenon_H5e zenon_H86 zenon_H7e zenon_H7f zenon_H7d zenon_H58 zenon_H90 zenon_H1ba zenon_H2a zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_Hda zenon_H15a zenon_H35 zenon_H27 zenon_Hc5 zenon_Hc8 zenon_Hc7 zenon_H3c zenon_H64.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 9.95/10.13 exact (zenon_H56 zenon_H2c).
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 9.95/10.13 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hdf ].
% 9.95/10.13 exact (zenon_H27 zenon_H32).
% 9.95/10.13 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H6a | zenon_intro zenon_He0 ].
% 9.95/10.13 apply (zenon_L238_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd8 ].
% 9.95/10.13 apply (zenon_L248_); trivial.
% 9.95/10.13 apply (zenon_L251_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 9.95/10.13 apply (zenon_L103_); trivial.
% 9.95/10.13 apply (zenon_L87_); trivial.
% 9.95/10.13 apply (zenon_L252_); trivial.
% 9.95/10.13 (* end of lemma zenon_L253_ *)
% 9.95/10.13 assert (zenon_L254_ : (((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)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False).
% 9.95/10.13 do 0 intro. intros zenon_H108 zenon_H3c zenon_Hc8 zenon_Hc7 zenon_H91 zenon_H155 zenon_Hc5 zenon_Hb1 zenon_H53 zenon_Hed.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H51 | zenon_intro zenon_H109 ].
% 9.95/10.13 apply (zenon_L129_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H101 | zenon_intro zenon_H10a ].
% 9.95/10.13 apply (zenon_L118_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H106 ].
% 9.95/10.13 exact (zenon_Hb1 zenon_Hb7).
% 9.95/10.13 apply (zenon_L73_); trivial.
% 9.95/10.13 (* end of lemma zenon_L254_ *)
% 9.95/10.13 assert (zenon_L255_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (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))))) -> (~((e0) = (e1))) -> ((op (e2) (e3)) = (e1)) -> ((op (e0) (e3)) = (e2)) -> False).
% 9.95/10.13 do 0 intro. intros zenon_H8c zenon_H7a zenon_H80 zenon_H7f zenon_H7e zenon_H86 zenon_H7d zenon_H5e zenon_H8a zenon_H47.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H43 | zenon_intro zenon_H8e ].
% 9.95/10.13 apply (zenon_L24_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H87 | zenon_intro zenon_H8f ].
% 9.95/10.13 apply (zenon_L26_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H7b ].
% 9.95/10.13 apply (zenon_L27_); trivial.
% 9.95/10.13 apply (zenon_L241_); trivial.
% 9.95/10.13 (* end of lemma zenon_L255_ *)
% 9.95/10.13 assert (zenon_L256_ : (((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 (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (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))))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e2)) -> False).
% 9.95/10.13 do 0 intro. intros zenon_H90 zenon_H15a zenon_H1bc zenon_Hd3 zenon_H1e zenon_H91 zenon_H8c zenon_H7a zenon_H80 zenon_H7f zenon_H7e zenon_H86 zenon_H7d zenon_H5e zenon_H47.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H76 | zenon_intro zenon_H92 ].
% 9.95/10.13 apply (zenon_L217_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H77 | zenon_intro zenon_H93 ].
% 9.95/10.13 apply (zenon_L196_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H94 | zenon_intro zenon_H8a ].
% 9.95/10.13 exact (zenon_H91 zenon_H94).
% 9.95/10.13 apply (zenon_L255_); trivial.
% 9.95/10.13 (* end of lemma zenon_L256_ *)
% 9.95/10.13 assert (zenon_L257_ : (((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 (e1) (e2)))) -> ((op (e1) (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)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (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))))) -> (~((e0) = (e1))) -> False).
% 9.95/10.13 do 0 intro. intros zenon_H42 zenon_H27 zenon_H35 zenon_H6f zenon_H6e zenon_H90 zenon_H15a zenon_H1bc zenon_Hd3 zenon_H1e zenon_H91 zenon_H8c zenon_H7a zenon_H80 zenon_H7f zenon_H7e zenon_H86 zenon_H7d zenon_H5e.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 9.95/10.13 exact (zenon_H27 zenon_H32).
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 9.95/10.13 apply (zenon_L4_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 9.95/10.13 apply (zenon_L19_); trivial.
% 9.95/10.13 apply (zenon_L256_); trivial.
% 9.95/10.13 (* end of lemma zenon_L257_ *)
% 9.95/10.13 assert (zenon_L258_ : (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e2) (e3)) = (e1)) -> False).
% 9.95/10.13 do 0 intro. intros zenon_H181 zenon_H62 zenon_H8a.
% 9.95/10.13 cut (((op (e0) (e3)) = (e1)) = ((op (e0) (e3)) = (op (e2) (e3)))).
% 9.95/10.13 intro zenon_D_pnotp.
% 9.95/10.13 apply zenon_H181.
% 9.95/10.13 rewrite <- zenon_D_pnotp.
% 9.95/10.13 exact zenon_H62.
% 9.95/10.13 cut (((e1) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H186].
% 9.95/10.13 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H5a].
% 9.95/10.13 congruence.
% 9.95/10.13 apply zenon_H5a. apply refl_equal.
% 9.95/10.13 apply zenon_H186. apply sym_equal. exact zenon_H8a.
% 9.95/10.13 (* end of lemma zenon_L258_ *)
% 9.95/10.13 assert (zenon_L259_ : (((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 (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> False).
% 9.95/10.13 do 0 intro. intros zenon_H90 zenon_H15a zenon_H1bc zenon_Hd3 zenon_H1e zenon_H91 zenon_H181 zenon_H62.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H76 | zenon_intro zenon_H92 ].
% 9.95/10.13 apply (zenon_L217_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H77 | zenon_intro zenon_H93 ].
% 9.95/10.13 apply (zenon_L196_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H94 | zenon_intro zenon_H8a ].
% 9.95/10.13 exact (zenon_H91 zenon_H94).
% 9.95/10.13 apply (zenon_L258_); trivial.
% 9.95/10.13 (* end of lemma zenon_L259_ *)
% 9.95/10.13 assert (zenon_L260_ : ((op (e0) (e3)) = (e1)) -> ((op (e0) (e3)) = (e2)) -> (~((e1) = (e2))) -> False).
% 9.95/10.13 do 0 intro. intros zenon_H62 zenon_H47 zenon_H35.
% 9.95/10.13 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ].
% 9.95/10.13 cut (((e2) = (e2)) = ((e1) = (e2))).
% 9.95/10.13 intro zenon_D_pnotp.
% 9.95/10.13 apply zenon_H35.
% 9.95/10.13 rewrite <- zenon_D_pnotp.
% 9.95/10.13 exact zenon_H36.
% 9.95/10.13 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 9.95/10.13 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H38].
% 9.95/10.13 congruence.
% 9.95/10.13 cut (((op (e0) (e3)) = (e1)) = ((e2) = (e1))).
% 9.95/10.13 intro zenon_D_pnotp.
% 9.95/10.13 apply zenon_H38.
% 9.95/10.13 rewrite <- zenon_D_pnotp.
% 9.95/10.13 exact zenon_H62.
% 9.95/10.13 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 9.95/10.13 cut (((op (e0) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H49].
% 9.95/10.13 congruence.
% 9.95/10.13 exact (zenon_H49 zenon_H47).
% 9.95/10.13 apply zenon_H33. apply refl_equal.
% 9.95/10.13 apply zenon_H37. apply refl_equal.
% 9.95/10.13 apply zenon_H37. apply refl_equal.
% 9.95/10.13 (* end of lemma zenon_L260_ *)
% 9.95/10.13 assert (zenon_L261_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e0)) -> ((op (e0) (e3)) = (e1)) -> ((op (e2) (e3)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 9.95/10.13 do 0 intro. intros zenon_H128 zenon_H35 zenon_H7b zenon_H62 zenon_H11f zenon_H95 zenon_H7f.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H47 | zenon_intro zenon_H129 ].
% 9.95/10.13 apply (zenon_L260_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H9b | zenon_intro zenon_H12a ].
% 9.95/10.13 apply (zenon_L242_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H85 ].
% 9.95/10.13 apply (zenon_L93_); trivial.
% 9.95/10.13 exact (zenon_H7f zenon_H85).
% 9.95/10.13 (* end of lemma zenon_L261_ *)
% 9.95/10.13 assert (zenon_L262_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (~((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) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e1)) -> ((op (e2) (e3)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 9.95/10.13 do 0 intro. intros zenon_H8c zenon_H2a zenon_H58 zenon_H80 zenon_H7e zenon_H86 zenon_H7d zenon_H53 zenon_H128 zenon_H35 zenon_H62 zenon_H11f zenon_H95 zenon_H7f.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H43 | zenon_intro zenon_H8e ].
% 9.95/10.13 apply (zenon_L213_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H87 | zenon_intro zenon_H8f ].
% 9.95/10.13 apply (zenon_L26_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H7b ].
% 9.95/10.13 apply (zenon_L96_); trivial.
% 9.95/10.13 apply (zenon_L261_); trivial.
% 9.95/10.13 (* end of lemma zenon_L262_ *)
% 9.95/10.13 assert (zenon_L263_ : (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> ((op (e3) (e2)) = (e1)) -> False).
% 9.95/10.13 do 0 intro. intros zenon_Hec zenon_Hf2 zenon_Hf3.
% 9.95/10.13 cut (((op (e3) (e1)) = (e1)) = ((op (e3) (e1)) = (op (e3) (e2)))).
% 9.95/10.13 intro zenon_D_pnotp.
% 9.95/10.13 apply zenon_Hec.
% 9.95/10.13 rewrite <- zenon_D_pnotp.
% 9.95/10.13 exact zenon_Hf2.
% 9.95/10.13 cut (((e1) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1da].
% 9.95/10.13 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hef].
% 9.95/10.13 congruence.
% 9.95/10.13 apply zenon_Hef. apply refl_equal.
% 9.95/10.13 apply zenon_H1da. apply sym_equal. exact zenon_Hf3.
% 9.95/10.13 (* end of lemma zenon_L263_ *)
% 9.95/10.13 assert (zenon_L264_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> False).
% 9.95/10.13 do 0 intro. intros zenon_H103 zenon_H1cb zenon_H62 zenon_H15a zenon_H159 zenon_H91 zenon_Hec zenon_Hf2.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H5d | zenon_intro zenon_H104 ].
% 9.95/10.13 apply (zenon_L229_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_H100 | zenon_intro zenon_H105 ].
% 9.95/10.13 apply (zenon_L123_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf3 ].
% 9.95/10.13 exact (zenon_H91 zenon_H94).
% 9.95/10.13 apply (zenon_L263_); trivial.
% 9.95/10.13 (* end of lemma zenon_L264_ *)
% 9.95/10.13 assert (zenon_L265_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((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 (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e3))) -> (~((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) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 9.95/10.13 do 0 intro. intros zenon_H1b1 zenon_H181 zenon_Hd3 zenon_H1bc zenon_H90 zenon_H192 zenon_H7f zenon_H95 zenon_H35 zenon_H128 zenon_H53 zenon_H7d zenon_H86 zenon_H7e zenon_H80 zenon_H58 zenon_H2a zenon_H8c zenon_Hc8 zenon_H4c zenon_Hbc zenon_H1c0 zenon_H12c zenon_H103 zenon_H1cb zenon_H62 zenon_H15a zenon_H159 zenon_H91 zenon_Hec.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1e | zenon_intro zenon_H1b2 ].
% 9.95/10.13 apply (zenon_L259_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1d | zenon_intro zenon_H1b3 ].
% 9.95/10.13 exact (zenon_H192 zenon_H1d).
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H77 | zenon_intro zenon_Hf2 ].
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H74 | zenon_intro zenon_H12d ].
% 9.95/10.13 apply (zenon_L219_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H12e ].
% 9.95/10.13 apply (zenon_L48_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hcd | zenon_intro zenon_H11f ].
% 9.95/10.13 exact (zenon_Hc8 zenon_Hcd).
% 9.95/10.13 apply (zenon_L262_); trivial.
% 9.95/10.13 apply (zenon_L264_); trivial.
% 9.95/10.13 (* end of lemma zenon_L265_ *)
% 9.95/10.13 assert (zenon_L266_ : ((op (e3) (e3)) = (e3)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 9.95/10.13 do 0 intro. intros zenon_H84 zenon_Hbc zenon_He3.
% 9.95/10.13 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hfa ].
% 9.95/10.13 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e3) (e0)) = (op (e3) (e3)))).
% 9.95/10.13 intro zenon_D_pnotp.
% 9.95/10.13 apply zenon_He3.
% 9.95/10.13 rewrite <- zenon_D_pnotp.
% 9.95/10.13 exact zenon_Hf9.
% 9.95/10.13 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hfa].
% 9.95/10.13 cut (((op (e3) (e3)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1db].
% 9.95/10.13 congruence.
% 9.95/10.13 cut (((op (e3) (e3)) = (e3)) = ((op (e3) (e3)) = (op (e3) (e0)))).
% 9.95/10.13 intro zenon_D_pnotp.
% 9.95/10.13 apply zenon_H1db.
% 9.95/10.13 rewrite <- zenon_D_pnotp.
% 9.95/10.13 exact zenon_H84.
% 9.95/10.13 cut (((e3) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1dc].
% 9.95/10.13 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hfa].
% 9.95/10.13 congruence.
% 9.95/10.13 apply zenon_Hfa. apply refl_equal.
% 9.95/10.13 apply zenon_H1dc. apply sym_equal. exact zenon_Hbc.
% 9.95/10.13 apply zenon_Hfa. apply refl_equal.
% 9.95/10.13 apply zenon_Hfa. apply refl_equal.
% 9.95/10.13 (* end of lemma zenon_L266_ *)
% 9.95/10.13 assert (zenon_L267_ : (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e3)) -> ((op (e3) (e2)) = (e3)) -> False).
% 9.95/10.13 do 0 intro. intros zenon_H1dd zenon_Hbc zenon_Hed.
% 9.95/10.13 cut (((op (e3) (e0)) = (e3)) = ((op (e3) (e0)) = (op (e3) (e2)))).
% 9.95/10.13 intro zenon_D_pnotp.
% 9.95/10.13 apply zenon_H1dd.
% 9.95/10.13 rewrite <- zenon_D_pnotp.
% 9.95/10.13 exact zenon_Hbc.
% 9.95/10.13 cut (((e3) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hee].
% 9.95/10.13 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hbf].
% 9.95/10.13 congruence.
% 9.95/10.13 apply zenon_Hbf. apply refl_equal.
% 9.95/10.13 apply zenon_Hee. apply sym_equal. exact zenon_Hed.
% 9.95/10.13 (* end of lemma zenon_L267_ *)
% 9.95/10.13 assert (zenon_L268_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (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 (e1) (e1)) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> ((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 (e3) (e1)) = (op (e3) (e2)))) -> (~((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 (e2) (e2)) = (e0))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (((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 (e3) (e3)) = (e1))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> False).
% 9.95/10.13 do 0 intro. intros zenon_Hf8 zenon_H1dd zenon_H64 zenon_H181 zenon_H192 zenon_H12c zenon_H58 zenon_H2a zenon_H53 zenon_H128 zenon_H95 zenon_H4c zenon_Hbc zenon_H1c0 zenon_H103 zenon_Hec zenon_H159 zenon_H1cb zenon_H1b1 zenon_Hb1 zenon_H3c zenon_Hc7 zenon_Hc8 zenon_Hc5 zenon_H27 zenon_H35 zenon_H6f zenon_H6e zenon_H90 zenon_H7d zenon_H7e zenon_H7a zenon_H86 zenon_H5e zenon_H8c zenon_H91 zenon_Hd3 zenon_H15a zenon_H1bc zenon_H42 zenon_H56 zenon_He3 zenon_H18d.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 9.95/10.13 exact (zenon_H56 zenon_H2c).
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 9.95/10.13 apply (zenon_L257_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 9.95/10.13 apply (zenon_L103_); trivial.
% 9.95/10.13 apply (zenon_L265_); trivial.
% 9.95/10.13 apply (zenon_L266_); trivial.
% 9.95/10.13 apply (zenon_L267_); trivial.
% 9.95/10.13 (* end of lemma zenon_L268_ *)
% 9.95/10.13 assert (zenon_L269_ : ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (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) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((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) (e1)) = (e1))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((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 (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (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)) = (e0)) -> (~((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)) = (op (e0) (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)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (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) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((op (e1) (e2)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 9.95/10.13 do 0 intro. intros zenon_H150 zenon_He3 zenon_H42 zenon_H6f zenon_H1b1 zenon_H1cb zenon_H159 zenon_Hec zenon_H103 zenon_H12c zenon_H192 zenon_H181 zenon_H1dd zenon_H1de zenon_H64 zenon_H3c zenon_Hc7 zenon_Hc8 zenon_Hc5 zenon_H27 zenon_H35 zenon_Hda zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H2a zenon_H1ba zenon_H90 zenon_H58 zenon_H7d zenon_H7e zenon_H86 zenon_H5e zenon_H128 zenon_Hce zenon_Hdd zenon_H7a zenon_H187 zenon_H1b7 zenon_H8c zenon_H91 zenon_Hd3 zenon_H198 zenon_H28 zenon_H53 zenon_Hb1 zenon_Hb0 zenon_H56 zenon_H18d zenon_H6e zenon_H95 zenon_Hc1 zenon_H15a zenon_H4c zenon_H108 zenon_H155 zenon_Hf8.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 9.95/10.13 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H6c | zenon_intro zenon_H1df ].
% 9.95/10.13 apply (zenon_L236_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H1e0 ].
% 9.95/10.13 exact (zenon_Hc1 zenon_Hc4).
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H161 | zenon_intro zenon_H188 ].
% 9.95/10.13 apply (zenon_L237_); trivial.
% 9.95/10.13 apply (zenon_L253_); trivial.
% 9.95/10.13 apply (zenon_L254_); trivial.
% 9.95/10.13 apply (zenon_L268_); trivial.
% 9.95/10.13 (* end of lemma zenon_L269_ *)
% 9.95/10.13 assert (zenon_L270_ : (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e0)) -> ((op (e2) (e3)) = (e0)) -> False).
% 9.95/10.13 do 0 intro. intros zenon_H17c zenon_H87 zenon_H89.
% 9.95/10.13 cut (((op (e1) (e3)) = (e0)) = ((op (e1) (e3)) = (op (e2) (e3)))).
% 9.95/10.13 intro zenon_D_pnotp.
% 9.95/10.13 apply zenon_H17c.
% 9.95/10.13 rewrite <- zenon_D_pnotp.
% 9.95/10.13 exact zenon_H87.
% 9.95/10.13 cut (((e0) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1e1].
% 9.95/10.13 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H88].
% 9.95/10.13 congruence.
% 9.95/10.13 apply zenon_H88. apply refl_equal.
% 9.95/10.13 apply zenon_H1e1. apply sym_equal. exact zenon_H89.
% 9.95/10.13 (* end of lemma zenon_L270_ *)
% 9.95/10.13 assert (zenon_L271_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e3)) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e2))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 9.95/10.13 do 0 intro. intros zenon_H1e2 zenon_H95 zenon_H74 zenon_H35 zenon_H77 zenon_Hc7 zenon_H9b zenon_H17c.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_Hcf | zenon_intro zenon_H1e3 ].
% 9.95/10.13 apply (zenon_L155_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H1e4 ].
% 9.95/10.13 apply (zenon_L203_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd0 ].
% 9.95/10.13 exact (zenon_Hc7 zenon_H3a).
% 9.95/10.13 apply (zenon_L162_); trivial.
% 9.95/10.13 (* end of lemma zenon_L271_ *)
% 9.95/10.13 assert (zenon_L272_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e3)) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 9.95/10.13 do 0 intro. intros zenon_Hb0 zenon_H53 zenon_H5e zenon_Hb1 zenon_H18a zenon_H15a zenon_H198 zenon_H17c zenon_Hc7 zenon_H77 zenon_H35 zenon_H74 zenon_H95 zenon_H1e2 zenon_H187 zenon_H57.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hb5 ].
% 9.95/10.13 apply (zenon_L20_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H78 | zenon_intro zenon_Hb6 ].
% 9.95/10.13 apply (zenon_L22_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H89 ].
% 9.95/10.13 exact (zenon_Hb1 zenon_Hb7).
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H87 | zenon_intro zenon_H18b ].
% 9.95/10.13 apply (zenon_L270_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H9a | zenon_intro zenon_H18c ].
% 9.95/10.13 apply (zenon_L194_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H9b | zenon_intro zenon_H188 ].
% 9.95/10.13 apply (zenon_L271_); trivial.
% 9.95/10.13 apply (zenon_L167_); trivial.
% 9.95/10.13 (* end of lemma zenon_L272_ *)
% 9.95/10.13 assert (zenon_L273_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (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))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e2))) -> (~((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 (e2) (e2)) = (e0))) -> (~((e0) = (e1))) -> (~((e0) = (e3))) -> (((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 (e0) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e2) = (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 (e3) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 9.95/10.13 do 0 intro. intros zenon_H64 zenon_H56 zenon_Hd3 zenon_H181 zenon_Hd0 zenon_H35 zenon_H97 zenon_Hda zenon_H28 zenon_H4c zenon_H187 zenon_H1e2 zenon_H77 zenon_Hc7 zenon_H17c zenon_H198 zenon_H18a zenon_Hb1 zenon_H5e zenon_H53 zenon_Hb0 zenon_Hdd zenon_H27 zenon_H1c0 zenon_H1bc zenon_H15a zenon_H1ba zenon_H2a zenon_H1c3 zenon_Hce zenon_H95 zenon_H42 zenon_H7d zenon_H8d zenon_H7a zenon_H7f zenon_H80.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 9.95/10.13 exact (zenon_H56 zenon_H2c).
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 9.95/10.13 apply (zenon_L196_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 9.95/10.13 exact (zenon_H27 zenon_H32).
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H31 | zenon_intro zenon_H98 ].
% 9.95/10.13 exact (zenon_H28 zenon_H31).
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ].
% 9.95/10.13 apply (zenon_L184_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H52 | zenon_intro zenon_H57 ].
% 9.95/10.13 apply (zenon_L130_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdb ].
% 9.95/10.13 exact (zenon_H28 zenon_H31).
% 9.95/10.13 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H6c | zenon_intro zenon_Hdc ].
% 9.95/10.13 apply (zenon_L236_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H74 | zenon_intro zenon_Hbc ].
% 9.95/10.13 apply (zenon_L272_); trivial.
% 9.95/10.13 apply (zenon_L221_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 9.95/10.13 apply (zenon_L70_); trivial.
% 9.95/10.13 apply (zenon_L163_); trivial.
% 9.95/10.13 apply (zenon_L87_); trivial.
% 9.95/10.13 (* end of lemma zenon_L273_ *)
% 9.95/10.13 assert (zenon_L274_ : (~((op (e3) (e3)) = (e0))) -> (~((e0) = (e1))) -> (((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)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (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))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e2))) -> (~((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 (e2) (e2)) = (e0))) -> (~((e0) = (e3))) -> (((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 (e0) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e2) = (e3))) -> False).
% 9.95/10.13 do 0 intro. intros zenon_H8d zenon_H5e zenon_H7d zenon_H86 zenon_H7e zenon_H7f zenon_H80 zenon_H7a zenon_H8c zenon_H91 zenon_H64 zenon_H56 zenon_Hd3 zenon_H181 zenon_Hd0 zenon_H35 zenon_H97 zenon_Hda zenon_H28 zenon_H4c zenon_H187 zenon_H1e2 zenon_Hc7 zenon_H17c zenon_H198 zenon_H18a zenon_Hb1 zenon_H53 zenon_Hb0 zenon_Hdd zenon_H27 zenon_H1c0 zenon_H1bc zenon_H15a zenon_H1ba zenon_H2a zenon_H1c3 zenon_Hce zenon_H42 zenon_H90 zenon_H95.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hdf ].
% 9.95/10.13 exact (zenon_H27 zenon_H32).
% 9.95/10.13 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H6a | zenon_intro zenon_He0 ].
% 9.95/10.13 apply (zenon_L238_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd8 ].
% 9.95/10.13 apply (zenon_L44_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdb ].
% 9.95/10.13 exact (zenon_H28 zenon_H31).
% 9.95/10.13 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H6c | zenon_intro zenon_Hdc ].
% 9.95/10.13 apply (zenon_L236_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H74 | zenon_intro zenon_Hbc ].
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H76 | zenon_intro zenon_H92 ].
% 9.95/10.13 apply (zenon_L21_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H77 | zenon_intro zenon_H93 ].
% 9.95/10.13 apply (zenon_L273_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H94 | zenon_intro zenon_H8a ].
% 9.95/10.13 exact (zenon_H91 zenon_H94).
% 9.95/10.13 apply (zenon_L28_); trivial.
% 9.95/10.13 apply (zenon_L51_); trivial.
% 9.95/10.13 (* end of lemma zenon_L274_ *)
% 9.95/10.13 assert (zenon_L275_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> ((op (e2) (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 (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((e2) = (e3))) -> False).
% 9.95/10.13 do 0 intro. intros zenon_Hdd zenon_H27 zenon_H35 zenon_Hd0 zenon_Hce zenon_Hda zenon_H28 zenon_H4c zenon_H15a zenon_H53 zenon_H73 zenon_H95.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hdf ].
% 9.95/10.13 exact (zenon_H27 zenon_H32).
% 9.95/10.13 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H6a | zenon_intro zenon_He0 ].
% 9.95/10.13 apply (zenon_L238_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd8 ].
% 9.95/10.13 apply (zenon_L44_); trivial.
% 9.95/10.13 apply (zenon_L249_); trivial.
% 9.95/10.13 (* end of lemma zenon_L275_ *)
% 9.95/10.13 assert (zenon_L276_ : (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> ((op (e1) (e3)) = (e0)) -> False).
% 9.95/10.13 do 0 intro. intros zenon_H187 zenon_H43 zenon_H87.
% 9.95/10.13 cut (((op (e0) (e3)) = (e0)) = ((op (e0) (e3)) = (op (e1) (e3)))).
% 9.95/10.13 intro zenon_D_pnotp.
% 9.95/10.13 apply zenon_H187.
% 9.95/10.13 rewrite <- zenon_D_pnotp.
% 9.95/10.13 exact zenon_H43.
% 9.95/10.13 cut (((e0) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1e5].
% 9.95/10.13 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H5a].
% 9.95/10.13 congruence.
% 9.95/10.13 apply zenon_H5a. apply refl_equal.
% 9.95/10.13 apply zenon_H1e5. apply sym_equal. exact zenon_H87.
% 9.95/10.13 (* end of lemma zenon_L276_ *)
% 9.95/10.13 assert (zenon_L277_ : (((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 (e2) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 9.95/10.13 do 0 intro. intros zenon_H1b7 zenon_H87 zenon_H187 zenon_H8a zenon_H181 zenon_Hd0 zenon_H84 zenon_H7a.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H43 | zenon_intro zenon_H1b8 ].
% 9.95/10.13 apply (zenon_L276_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b9 ].
% 9.95/10.13 apply (zenon_L258_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H47 | zenon_intro zenon_H57 ].
% 9.95/10.13 apply (zenon_L163_); trivial.
% 9.95/10.13 apply (zenon_L68_); trivial.
% 9.95/10.13 (* end of lemma zenon_L277_ *)
% 9.95/10.13 assert (zenon_L278_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e3) (e3)) = (e0))) -> False).
% 9.95/10.13 do 0 intro. intros zenon_H8c zenon_H2a zenon_H58 zenon_H7a zenon_H84 zenon_Hd0 zenon_H181 zenon_H187 zenon_H1b7 zenon_H5e zenon_H8a zenon_H8d.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H43 | zenon_intro zenon_H8e ].
% 9.95/10.13 apply (zenon_L213_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H87 | zenon_intro zenon_H8f ].
% 9.95/10.13 apply (zenon_L277_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H7b ].
% 9.95/10.13 apply (zenon_L27_); trivial.
% 9.95/10.13 exact (zenon_H8d zenon_H7b).
% 9.95/10.13 (* end of lemma zenon_L278_ *)
% 9.95/10.13 assert (zenon_L279_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 9.95/10.13 do 0 intro. intros zenon_H18a zenon_H89 zenon_H15a zenon_H198 zenon_H17c zenon_Hd0 zenon_H84 zenon_H86.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H87 | zenon_intro zenon_H18b ].
% 9.95/10.13 apply (zenon_L270_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H9a | zenon_intro zenon_H18c ].
% 9.95/10.13 apply (zenon_L194_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H9b | zenon_intro zenon_H188 ].
% 9.95/10.13 apply (zenon_L162_); trivial.
% 9.95/10.13 apply (zenon_L252_); trivial.
% 9.95/10.13 (* end of lemma zenon_L279_ *)
% 9.95/10.13 assert (zenon_L280_ : (((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)) = (e0))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 9.95/10.13 do 0 intro. intros zenon_Hb0 zenon_H2a zenon_H1ba zenon_H77 zenon_H5e zenon_Hb1 zenon_H18a zenon_H15a zenon_H198 zenon_H17c zenon_Hd0 zenon_H84 zenon_H86.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hb5 ].
% 9.95/10.13 apply (zenon_L216_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H78 | zenon_intro zenon_Hb6 ].
% 9.95/10.13 apply (zenon_L22_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H89 ].
% 9.95/10.13 exact (zenon_Hb1 zenon_Hb7).
% 9.95/10.13 apply (zenon_L279_); trivial.
% 9.95/10.13 (* end of lemma zenon_L280_ *)
% 9.95/10.13 assert (zenon_L281_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (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)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (((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)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((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)) = (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) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> ((op (e2) (e3)) = (e2)) -> (~((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 (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))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 9.95/10.13 do 0 intro. intros zenon_H64 zenon_H56 zenon_Hce zenon_H1c3 zenon_H1c0 zenon_Hdd zenon_H53 zenon_Hda zenon_H8d zenon_H1b7 zenon_H187 zenon_H58 zenon_H8c zenon_H35 zenon_H97 zenon_H28 zenon_H95 zenon_H4c zenon_H7a zenon_H27 zenon_H42 zenon_H1b1 zenon_H181 zenon_Hd3 zenon_H1bc zenon_H90 zenon_H192 zenon_H86 zenon_H84 zenon_Hd0 zenon_H17c zenon_H198 zenon_H18a zenon_Hb1 zenon_H5e zenon_H1ba zenon_H2a zenon_Hb0 zenon_H103 zenon_H1cb zenon_H15a zenon_H159 zenon_H91 zenon_Hec.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 9.95/10.13 exact (zenon_H56 zenon_H2c).
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 9.95/10.13 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdb ].
% 9.95/10.13 exact (zenon_H28 zenon_H31).
% 9.95/10.13 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H6c | zenon_intro zenon_Hdc ].
% 9.95/10.13 apply (zenon_L236_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H74 | zenon_intro zenon_Hbc ].
% 9.95/10.13 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hb5 ].
% 9.95/10.13 apply (zenon_L275_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H78 | zenon_intro zenon_Hb6 ].
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H76 | zenon_intro zenon_H92 ].
% 9.95/10.13 apply (zenon_L217_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H77 | zenon_intro zenon_H93 ].
% 9.95/10.13 apply (zenon_L22_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H94 | zenon_intro zenon_H8a ].
% 9.95/10.13 exact (zenon_H91 zenon_H94).
% 9.95/10.13 apply (zenon_L278_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H89 ].
% 9.95/10.13 exact (zenon_Hb1 zenon_Hb7).
% 9.95/10.13 apply (zenon_L250_); trivial.
% 9.95/10.13 apply (zenon_L221_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 9.95/10.13 exact (zenon_H27 zenon_H32).
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H31 | zenon_intro zenon_H98 ].
% 9.95/10.13 exact (zenon_H28 zenon_H31).
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ].
% 9.95/10.13 apply (zenon_L184_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H52 | zenon_intro zenon_H57 ].
% 9.95/10.13 apply (zenon_L130_); trivial.
% 9.95/10.13 apply (zenon_L68_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 9.95/10.13 apply (zenon_L70_); trivial.
% 9.95/10.13 apply (zenon_L163_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1e | zenon_intro zenon_H1b2 ].
% 9.95/10.13 apply (zenon_L259_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1d | zenon_intro zenon_H1b3 ].
% 9.95/10.13 exact (zenon_H192 zenon_H1d).
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H77 | zenon_intro zenon_Hf2 ].
% 9.95/10.13 apply (zenon_L280_); trivial.
% 9.95/10.13 apply (zenon_L264_); trivial.
% 9.95/10.13 (* end of lemma zenon_L281_ *)
% 9.95/10.13 assert (zenon_L282_ : ((op (e3) (e2)) = (e3)) -> ((op (e1) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> False).
% 9.95/10.13 do 0 intro. intros zenon_Hed zenon_H161 zenon_H1e6.
% 9.95/10.13 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_H10c | zenon_intro zenon_H10d ].
% 9.95/10.13 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (e1) (e2)) = (op (e3) (e2)))).
% 9.95/10.13 intro zenon_D_pnotp.
% 9.95/10.13 apply zenon_H1e6.
% 9.95/10.13 rewrite <- zenon_D_pnotp.
% 9.95/10.13 exact zenon_H10c.
% 9.95/10.13 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H10d].
% 9.95/10.13 cut (((op (e3) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1e7].
% 9.95/10.13 congruence.
% 9.95/10.13 cut (((op (e3) (e2)) = (e3)) = ((op (e3) (e2)) = (op (e1) (e2)))).
% 9.95/10.13 intro zenon_D_pnotp.
% 9.95/10.13 apply zenon_H1e7.
% 9.95/10.13 rewrite <- zenon_D_pnotp.
% 9.95/10.13 exact zenon_Hed.
% 9.95/10.13 cut (((e3) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1e8].
% 9.95/10.13 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H10d].
% 9.95/10.13 congruence.
% 9.95/10.13 apply zenon_H10d. apply refl_equal.
% 9.95/10.13 apply zenon_H1e8. apply sym_equal. exact zenon_H161.
% 9.95/10.13 apply zenon_H10d. apply refl_equal.
% 9.95/10.13 apply zenon_H10d. apply refl_equal.
% 9.95/10.13 (* end of lemma zenon_L282_ *)
% 9.95/10.13 assert (zenon_L283_ : (((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 (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 9.95/10.13 do 0 intro. intros zenon_H1de zenon_H4c zenon_H15a zenon_Hc1 zenon_H1e6 zenon_Hed zenon_H187 zenon_H57.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H6c | zenon_intro zenon_H1df ].
% 9.95/10.13 apply (zenon_L236_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H1e0 ].
% 9.95/10.13 exact (zenon_Hc1 zenon_Hc4).
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H161 | zenon_intro zenon_H188 ].
% 9.95/10.13 apply (zenon_L282_); trivial.
% 9.95/10.13 apply (zenon_L167_); trivial.
% 9.95/10.13 (* end of lemma zenon_L283_ *)
% 9.95/10.13 assert (zenon_L284_ : (((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 (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 9.95/10.13 do 0 intro. intros zenon_H97 zenon_H28 zenon_H95 zenon_H34 zenon_H10b zenon_H1de zenon_H4c zenon_H15a zenon_Hc1 zenon_H1e6 zenon_Hed zenon_H187.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H31 | zenon_intro zenon_H98 ].
% 9.95/10.13 exact (zenon_H28 zenon_H31).
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ].
% 9.95/10.13 apply (zenon_L184_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H52 | zenon_intro zenon_H57 ].
% 9.95/10.13 apply (zenon_L75_); trivial.
% 9.95/10.13 apply (zenon_L283_); trivial.
% 9.95/10.13 (* end of lemma zenon_L284_ *)
% 9.95/10.13 assert (zenon_L285_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False).
% 9.95/10.13 do 0 intro. intros zenon_H108 zenon_H2a zenon_H132 zenon_H4c zenon_H91 zenon_H5e zenon_H3b zenon_H35 zenon_H103 zenon_Hb1 zenon_H53 zenon_Hed.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H51 | zenon_intro zenon_H109 ].
% 9.95/10.13 apply (zenon_L101_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H101 | zenon_intro zenon_H10a ].
% 9.95/10.13 apply (zenon_L72_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H106 ].
% 9.95/10.13 exact (zenon_Hb1 zenon_Hb7).
% 9.95/10.13 apply (zenon_L73_); trivial.
% 9.95/10.13 (* end of lemma zenon_L285_ *)
% 9.95/10.13 assert (zenon_L286_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((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 (e0) (e2)) = (op (e3) (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)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 9.95/10.13 do 0 intro. intros zenon_H42 zenon_H27 zenon_H187 zenon_H1e6 zenon_Hc1 zenon_H15a zenon_H1de zenon_H10b zenon_H95 zenon_H28 zenon_H97 zenon_Hed zenon_H53 zenon_Hb1 zenon_H103 zenon_H35 zenon_H5e zenon_H91 zenon_H4c zenon_H132 zenon_H2a zenon_H108 zenon_Hd0 zenon_H181.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 9.95/10.13 exact (zenon_H27 zenon_H32).
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 9.95/10.13 apply (zenon_L284_); trivial.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 9.95/10.13 apply (zenon_L285_); trivial.
% 9.95/10.13 apply (zenon_L163_); trivial.
% 9.95/10.13 (* end of lemma zenon_L286_ *)
% 9.95/10.13 assert (zenon_L287_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (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 (e2) (e2)) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (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)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> (~((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 (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((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 (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> False).
% 9.95/10.13 do 0 intro. intros zenon_Hf8 zenon_Hc1 zenon_H1e6 zenon_H1de zenon_H10b zenon_H108 zenon_H132 zenon_H28 zenon_H4c zenon_H90 zenon_H7e zenon_H86 zenon_H8c zenon_H91 zenon_H56 zenon_Hd3 zenon_H42 zenon_H181 zenon_H95 zenon_Hda zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H2a zenon_H1ba zenon_Hdd zenon_H53 zenon_H5e zenon_Hb1 zenon_H18a zenon_H187 zenon_Hc7 zenon_H1e2 zenon_H198 zenon_H17c zenon_Hb0 zenon_H97 zenon_H7d zenon_H7a zenon_H8d zenon_H64 zenon_Hd0 zenon_Hce zenon_H15a zenon_H35 zenon_H27 zenon_H192 zenon_H103 zenon_Hec zenon_H159 zenon_H1cb zenon_H1b1 zenon_H1b7 zenon_H58 zenon_H18d.
% 9.95/10.13 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 9.95/10.13 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 9.95/10.13 apply (zenon_L274_); trivial.
% 9.95/10.13 apply (zenon_L281_); trivial.
% 9.95/10.13 apply (zenon_L286_); trivial.
% 9.95/10.13 (* end of lemma zenon_L287_ *)
% 9.95/10.13 assert (zenon_L288_ : ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((op (e1) (e2)) = (e2)) -> (((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) (e0)) = (op (e0) (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 (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (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 (e3) (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))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (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 (e2) (e2)) = (e0))) -> (~((e0) = (e1))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (~((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 (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (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) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 9.95/10.14 do 0 intro. intros zenon_H150 zenon_H6e zenon_H1b4 zenon_H18d zenon_H58 zenon_H1b7 zenon_H1b1 zenon_H1cb zenon_H159 zenon_Hec zenon_H103 zenon_H192 zenon_H27 zenon_H35 zenon_H15a zenon_Hce zenon_Hd0 zenon_H64 zenon_H7a zenon_H7d zenon_H97 zenon_Hb0 zenon_H17c zenon_H198 zenon_H1e2 zenon_Hc7 zenon_H187 zenon_H18a zenon_Hb1 zenon_H5e zenon_H53 zenon_Hdd zenon_H1ba zenon_H2a zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_Hda zenon_H95 zenon_H181 zenon_H42 zenon_Hd3 zenon_H56 zenon_H91 zenon_H8c zenon_H86 zenon_H7e zenon_H90 zenon_H4c zenon_H28 zenon_H132 zenon_H108 zenon_H10b zenon_H1de zenon_H1e6 zenon_Hc1 zenon_Hf8.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 9.95/10.14 apply (zenon_L287_); trivial.
% 9.95/10.14 apply (zenon_L222_); trivial.
% 9.95/10.14 (* end of lemma zenon_L288_ *)
% 9.95/10.14 assert (zenon_L289_ : (((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))) -> (~((e2) = (e3))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 9.95/10.14 do 0 intro. intros zenon_H1de zenon_H16f zenon_Hbc zenon_Hc1 zenon_H95 zenon_H6e zenon_H187 zenon_H57.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H6c | zenon_intro zenon_H1df ].
% 9.95/10.14 apply (zenon_L154_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H1e0 ].
% 9.95/10.14 exact (zenon_Hc1 zenon_Hc4).
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H161 | zenon_intro zenon_H188 ].
% 9.95/10.14 apply (zenon_L237_); trivial.
% 9.95/10.14 apply (zenon_L167_); trivial.
% 9.95/10.14 (* end of lemma zenon_L289_ *)
% 9.95/10.14 assert (zenon_L290_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e3)) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e2))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 9.95/10.14 do 0 intro. intros zenon_H1e2 zenon_H95 zenon_H74 zenon_H35 zenon_H77 zenon_Hc7 zenon_H47 zenon_H181.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_Hcf | zenon_intro zenon_H1e3 ].
% 9.95/10.14 apply (zenon_L155_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H1e4 ].
% 9.95/10.14 apply (zenon_L203_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd0 ].
% 9.95/10.14 exact (zenon_Hc7 zenon_H3a).
% 9.95/10.14 apply (zenon_L163_); trivial.
% 9.95/10.14 (* end of lemma zenon_L290_ *)
% 9.95/10.14 assert (zenon_L291_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e2)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 9.95/10.14 do 0 intro. intros zenon_Hab zenon_H35 zenon_H47 zenon_H15a zenon_H198 zenon_H11f zenon_H4c zenon_H7e.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H62 | zenon_intro zenon_Hac ].
% 9.95/10.14 apply (zenon_L260_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H9a | zenon_intro zenon_Had ].
% 9.95/10.14 apply (zenon_L194_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H8a | zenon_intro zenon_H83 ].
% 9.95/10.14 apply (zenon_L89_); trivial.
% 9.95/10.14 exact (zenon_H7e zenon_H83).
% 9.95/10.14 (* end of lemma zenon_L291_ *)
% 9.95/10.14 assert (zenon_L292_ : (((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)) = (e2))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e2)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 9.95/10.14 do 0 intro. intros zenon_H12c zenon_H181 zenon_Hc7 zenon_H95 zenon_H1e2 zenon_H77 zenon_Hc8 zenon_Hab zenon_H35 zenon_H47 zenon_H15a zenon_H198 zenon_H4c zenon_H7e.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H74 | zenon_intro zenon_H12d ].
% 9.95/10.14 apply (zenon_L290_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H12e ].
% 9.95/10.14 apply (zenon_L48_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hcd | zenon_intro zenon_H11f ].
% 9.95/10.14 exact (zenon_Hc8 zenon_Hcd).
% 9.95/10.14 apply (zenon_L291_); trivial.
% 9.95/10.14 (* end of lemma zenon_L292_ *)
% 9.95/10.14 assert (zenon_L293_ : (((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) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> False).
% 9.95/10.14 do 0 intro. intros zenon_Hde zenon_H95 zenon_H4b zenon_Haf zenon_Hcf zenon_H112 zenon_Hf2 zenon_H35.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H34 | zenon_intro zenon_He1 ].
% 9.95/10.14 apply (zenon_L184_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_Hb4 | zenon_intro zenon_He2 ].
% 9.95/10.14 exact (zenon_Haf zenon_Hb4).
% 9.95/10.14 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ].
% 9.95/10.14 apply (zenon_L79_); trivial.
% 9.95/10.14 apply (zenon_L63_); trivial.
% 9.95/10.14 (* end of lemma zenon_L293_ *)
% 9.95/10.14 assert (zenon_L294_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e1) (e1)) = (e2))) -> (((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 (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 (e2) (e2)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((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))))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> ((op (e0) (e3)) = (e2)) -> (~((e2) = (e3))) -> False).
% 9.95/10.14 do 0 intro. intros zenon_H97 zenon_H28 zenon_H35 zenon_H112 zenon_Hcf zenon_Haf zenon_Hde zenon_H12c zenon_H181 zenon_Hc7 zenon_H1e2 zenon_Hc8 zenon_Hab zenon_H15a zenon_H198 zenon_H7e zenon_H192 zenon_H90 zenon_H1bc zenon_Hd3 zenon_H91 zenon_H8c zenon_H7a zenon_H80 zenon_H7f zenon_H86 zenon_H7d zenon_H5e zenon_H1b1 zenon_H4c zenon_H5d zenon_H47 zenon_H95.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H31 | zenon_intro zenon_H98 ].
% 9.95/10.14 exact (zenon_H28 zenon_H31).
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ].
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1e | zenon_intro zenon_H1b2 ].
% 9.95/10.14 apply (zenon_L256_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1d | zenon_intro zenon_H1b3 ].
% 9.95/10.14 exact (zenon_H192 zenon_H1d).
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H77 | zenon_intro zenon_Hf2 ].
% 9.95/10.14 apply (zenon_L292_); trivial.
% 9.95/10.14 apply (zenon_L293_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H52 | zenon_intro zenon_H57 ].
% 9.95/10.14 apply (zenon_L130_); trivial.
% 9.95/10.14 apply (zenon_L54_); trivial.
% 9.95/10.14 (* end of lemma zenon_L294_ *)
% 9.95/10.14 assert (zenon_L295_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((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 (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (~((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) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (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) (e1)) = (e3))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (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 (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 9.95/10.14 do 0 intro. intros zenon_H64 zenon_H56 zenon_H6f zenon_H95 zenon_H4c zenon_H1b1 zenon_H5e zenon_H86 zenon_H8c zenon_H91 zenon_Hd3 zenon_H1bc zenon_H90 zenon_H192 zenon_H7e zenon_H198 zenon_H15a zenon_Hab zenon_Hc8 zenon_H1e2 zenon_Hc7 zenon_H181 zenon_H12c zenon_Hde zenon_Haf zenon_Hcf zenon_H112 zenon_H35 zenon_H28 zenon_H97 zenon_Hda zenon_H1de zenon_H16f zenon_Hc1 zenon_H6e zenon_H187 zenon_H27 zenon_H42 zenon_H7d zenon_H8d zenon_H7a zenon_H7f zenon_H80.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 9.95/10.14 exact (zenon_H56 zenon_H2c).
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 9.95/10.14 apply (zenon_L257_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 9.95/10.14 exact (zenon_H27 zenon_H32).
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H31 | zenon_intro zenon_H98 ].
% 9.95/10.14 exact (zenon_H28 zenon_H31).
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ].
% 9.95/10.14 apply (zenon_L184_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H52 | zenon_intro zenon_H57 ].
% 9.95/10.14 apply (zenon_L130_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdb ].
% 9.95/10.14 exact (zenon_H28 zenon_H31).
% 9.95/10.14 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H6c | zenon_intro zenon_Hdc ].
% 9.95/10.14 apply (zenon_L236_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H74 | zenon_intro zenon_Hbc ].
% 9.95/10.14 apply (zenon_L155_); trivial.
% 9.95/10.14 apply (zenon_L289_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 9.95/10.14 apply (zenon_L70_); trivial.
% 9.95/10.14 apply (zenon_L294_); trivial.
% 9.95/10.14 apply (zenon_L87_); trivial.
% 9.95/10.14 (* end of lemma zenon_L295_ *)
% 9.95/10.14 assert (zenon_L296_ : (((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)) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 9.95/10.14 do 0 intro. intros zenon_Hda zenon_H28 zenon_H4c zenon_H15a zenon_H95 zenon_Hcf zenon_H84 zenon_He3.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdb ].
% 9.95/10.14 exact (zenon_H28 zenon_H31).
% 9.95/10.14 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H6c | zenon_intro zenon_Hdc ].
% 9.95/10.14 apply (zenon_L236_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H74 | zenon_intro zenon_Hbc ].
% 9.95/10.14 apply (zenon_L155_); trivial.
% 9.95/10.14 apply (zenon_L266_); trivial.
% 9.95/10.14 (* end of lemma zenon_L296_ *)
% 9.95/10.14 assert (zenon_L297_ : (((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) (e3)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> False).
% 9.95/10.14 do 0 intro. intros zenon_H191 zenon_He8 zenon_H192 zenon_Haf zenon_H188 zenon_H11d.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Heb | zenon_intro zenon_H193 ].
% 9.95/10.14 exact (zenon_He8 zenon_Heb).
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H1d | zenon_intro zenon_H194 ].
% 9.95/10.14 exact (zenon_H192 zenon_H1d).
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hc4 ].
% 9.95/10.14 exact (zenon_Haf zenon_Hb4).
% 9.95/10.14 elim (classic ((op (e1) (e3)) = (op (e1) (e3)))); [ zenon_intro zenon_H1ab | zenon_intro zenon_H88 ].
% 9.95/10.14 cut (((op (e1) (e3)) = (op (e1) (e3))) = ((op (e1) (e1)) = (op (e1) (e3)))).
% 9.95/10.14 intro zenon_D_pnotp.
% 9.95/10.14 apply zenon_H11d.
% 9.95/10.14 rewrite <- zenon_D_pnotp.
% 9.95/10.14 exact zenon_H1ab.
% 9.95/10.14 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H88].
% 9.95/10.14 cut (((op (e1) (e3)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1e9].
% 9.95/10.14 congruence.
% 9.95/10.14 cut (((op (e1) (e3)) = (e3)) = ((op (e1) (e3)) = (op (e1) (e1)))).
% 9.95/10.14 intro zenon_D_pnotp.
% 9.95/10.14 apply zenon_H1e9.
% 9.95/10.14 rewrite <- zenon_D_pnotp.
% 9.95/10.14 exact zenon_H188.
% 9.95/10.14 cut (((e3) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1a4].
% 9.95/10.14 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H88].
% 9.95/10.14 congruence.
% 9.95/10.14 apply zenon_H88. apply refl_equal.
% 9.95/10.14 apply zenon_H1a4. apply sym_equal. exact zenon_Hc4.
% 9.95/10.14 apply zenon_H88. apply refl_equal.
% 9.95/10.14 apply zenon_H88. apply refl_equal.
% 9.95/10.14 (* end of lemma zenon_L297_ *)
% 9.95/10.14 assert (zenon_L298_ : ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((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))))) -> False).
% 9.95/10.14 do 0 intro. intros zenon_H18d zenon_H188 zenon_H12f zenon_H2a zenon_He8 zenon_H5e zenon_H100 zenon_H7d zenon_H7f zenon_H7e zenon_H86 zenon_H145.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 9.95/10.14 apply (zenon_L225_); trivial.
% 9.95/10.14 apply (zenon_L252_); trivial.
% 9.95/10.14 (* end of lemma zenon_L298_ *)
% 9.95/10.14 assert (zenon_L299_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e1) (e3)) = (e3)) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> False).
% 9.95/10.14 do 0 intro. intros zenon_Hf8 zenon_Hc5 zenon_Hc8 zenon_Hc7 zenon_H91 zenon_H3c zenon_H155 zenon_Hb1 zenon_H53 zenon_H108 zenon_H145 zenon_H86 zenon_H7e zenon_H7d zenon_H100 zenon_H5e zenon_He8 zenon_H2a zenon_H12f zenon_H188 zenon_H18d.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 9.95/10.14 apply (zenon_L298_); trivial.
% 9.95/10.14 apply (zenon_L254_); trivial.
% 9.95/10.14 (* end of lemma zenon_L299_ *)
% 9.95/10.14 assert (zenon_L300_ : (((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 (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> False).
% 9.95/10.14 do 0 intro. intros zenon_H97 zenon_H28 zenon_H95 zenon_H34 zenon_H10b zenon_Hed zenon_H187 zenon_H188.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H31 | zenon_intro zenon_H98 ].
% 9.95/10.14 exact (zenon_H28 zenon_H31).
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ].
% 9.95/10.14 apply (zenon_L184_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H52 | zenon_intro zenon_H57 ].
% 9.95/10.14 apply (zenon_L75_); trivial.
% 9.95/10.14 apply (zenon_L167_); trivial.
% 9.95/10.14 (* end of lemma zenon_L300_ *)
% 9.95/10.14 assert (zenon_L301_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (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)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 9.95/10.14 do 0 intro. intros zenon_H42 zenon_H27 zenon_H188 zenon_H187 zenon_H10b zenon_H95 zenon_H28 zenon_H97 zenon_Hed zenon_H53 zenon_Hb1 zenon_H103 zenon_H35 zenon_H5e zenon_H91 zenon_H4c zenon_H132 zenon_H2a zenon_H108 zenon_Hd0 zenon_H181.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 9.95/10.14 exact (zenon_H27 zenon_H32).
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 9.95/10.14 apply (zenon_L300_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 9.95/10.14 apply (zenon_L285_); trivial.
% 9.95/10.14 apply (zenon_L163_); trivial.
% 9.95/10.14 (* end of lemma zenon_L301_ *)
% 9.95/10.14 assert (zenon_L302_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (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) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (e0))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (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) (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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e1) (e3)) = (e3)) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> False).
% 9.95/10.14 do 0 intro. intros zenon_Hf8 zenon_H27 zenon_H97 zenon_H187 zenon_H10b zenon_H95 zenon_H28 zenon_H108 zenon_H53 zenon_Hb1 zenon_H35 zenon_H91 zenon_H4c zenon_H103 zenon_H132 zenon_H181 zenon_Hd0 zenon_H42 zenon_H145 zenon_H86 zenon_H7e zenon_H7d zenon_H100 zenon_H5e zenon_He8 zenon_H2a zenon_H12f zenon_H188 zenon_H18d.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 9.95/10.14 apply (zenon_L298_); trivial.
% 9.95/10.14 apply (zenon_L301_); trivial.
% 9.95/10.14 (* end of lemma zenon_L302_ *)
% 9.95/10.14 assert (zenon_L303_ : (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> False).
% 9.95/10.14 do 0 intro. intros zenon_H144 zenon_H2a zenon_H132 zenon_H6f zenon_H100 zenon_H3c zenon_H3a zenon_Hed zenon_H10b.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H51 | zenon_intro zenon_H148 ].
% 9.95/10.14 apply (zenon_L101_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H5d | zenon_intro zenon_H149 ].
% 9.95/10.14 apply (zenon_L228_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H3b | zenon_intro zenon_H52 ].
% 9.95/10.14 apply (zenon_L5_); trivial.
% 9.95/10.14 apply (zenon_L75_); trivial.
% 9.95/10.14 (* end of lemma zenon_L303_ *)
% 9.95/10.14 assert (zenon_L304_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e1) (e3)) = (e3)) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> False).
% 9.95/10.14 do 0 intro. intros zenon_Hf8 zenon_H132 zenon_H6f zenon_H3c zenon_H3a zenon_H10b zenon_H144 zenon_H145 zenon_H86 zenon_H7e zenon_H7d zenon_H100 zenon_H5e zenon_He8 zenon_H2a zenon_H12f zenon_H188 zenon_H18d.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 9.95/10.14 apply (zenon_L298_); trivial.
% 9.95/10.14 apply (zenon_L303_); trivial.
% 9.95/10.14 (* end of lemma zenon_L304_ *)
% 9.95/10.14 assert (zenon_L305_ : ((~((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 (e0) (e2)) = (op (e1) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e1) (e3)) = (e3)) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (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) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e2))) -> (~((e1) = (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) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> False).
% 9.95/10.14 do 0 intro. intros zenon_H158 zenon_H144 zenon_H6f zenon_Hf8 zenon_Hc5 zenon_H91 zenon_H3c zenon_H155 zenon_Hb1 zenon_H53 zenon_H108 zenon_H145 zenon_H86 zenon_H7e zenon_H7d zenon_H100 zenon_H5e zenon_He8 zenon_H2a zenon_H12f zenon_H188 zenon_H18d zenon_H27 zenon_H97 zenon_H187 zenon_H10b zenon_H95 zenon_H28 zenon_H35 zenon_H4c zenon_H103 zenon_H132 zenon_H181 zenon_H42 zenon_Hd2.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 9.95/10.14 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 9.95/10.14 apply (zenon_L299_); trivial.
% 9.95/10.14 apply (zenon_L302_); trivial.
% 9.95/10.14 apply (zenon_L304_); trivial.
% 9.95/10.14 (* end of lemma zenon_L305_ *)
% 9.95/10.14 assert (zenon_L306_ : (((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)) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> False).
% 9.95/10.14 do 0 intro. intros zenon_Hda zenon_H28 zenon_H4c zenon_H15a zenon_H95 zenon_Hcf zenon_H1dd zenon_Hed.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdb ].
% 9.95/10.14 exact (zenon_H28 zenon_H31).
% 9.95/10.14 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H6c | zenon_intro zenon_Hdc ].
% 9.95/10.14 apply (zenon_L236_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H74 | zenon_intro zenon_Hbc ].
% 9.95/10.14 apply (zenon_L155_); trivial.
% 9.95/10.14 apply (zenon_L267_); trivial.
% 9.95/10.14 (* end of lemma zenon_L306_ *)
% 9.95/10.14 assert (zenon_L307_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e1)) -> False).
% 9.95/10.14 do 0 intro. intros zenon_Hda zenon_H28 zenon_H198 zenon_H188 zenon_H95 zenon_Hcf zenon_H4c zenon_Hf0.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdb ].
% 9.95/10.14 exact (zenon_H28 zenon_H31).
% 9.95/10.14 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H6c | zenon_intro zenon_Hdc ].
% 9.95/10.14 apply (zenon_L239_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H74 | zenon_intro zenon_Hbc ].
% 9.95/10.14 apply (zenon_L155_); trivial.
% 9.95/10.14 apply (zenon_L139_); trivial.
% 9.95/10.14 (* end of lemma zenon_L307_ *)
% 9.95/10.14 assert (zenon_L308_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e3))) -> False).
% 9.95/10.14 do 0 intro. intros zenon_H1b4 zenon_H56 zenon_Hed zenon_H1dd zenon_H35 zenon_Hda zenon_H28 zenon_H198 zenon_H188 zenon_H95 zenon_Hcf zenon_H4c.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 9.95/10.14 exact (zenon_H56 zenon_H2c).
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 9.95/10.14 apply (zenon_L306_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 9.95/10.14 apply (zenon_L47_); trivial.
% 9.95/10.14 apply (zenon_L307_); trivial.
% 9.95/10.14 (* end of lemma zenon_L308_ *)
% 9.95/10.14 assert (zenon_L309_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (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)) = (e2)) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((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) (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)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e1) (e3)) = (e3)) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> False).
% 9.95/10.14 do 0 intro. intros zenon_Hf8 zenon_H56 zenon_Hda zenon_H1dd zenon_Hcf zenon_H95 zenon_H4c zenon_H28 zenon_H35 zenon_H198 zenon_H1b4 zenon_H145 zenon_H86 zenon_H7e zenon_H7d zenon_H100 zenon_H5e zenon_He8 zenon_H2a zenon_H12f zenon_H188 zenon_H18d.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 9.95/10.14 apply (zenon_L298_); trivial.
% 9.95/10.14 apply (zenon_L308_); trivial.
% 9.95/10.14 (* end of lemma zenon_L309_ *)
% 9.95/10.14 assert (zenon_L310_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (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)) = (e0)) -> (~((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)) = (op (e0) (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)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (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) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> False).
% 9.95/10.14 do 0 intro. intros zenon_Hf8 zenon_H155 zenon_H108 zenon_H64 zenon_H3c zenon_Hc7 zenon_Hc8 zenon_Hc5 zenon_H27 zenon_H35 zenon_H15a zenon_Hda zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H2a zenon_H1ba zenon_H90 zenon_H58 zenon_H7d zenon_H7e zenon_H86 zenon_H5e zenon_H128 zenon_Hce zenon_Hdd zenon_H7a zenon_H187 zenon_H1b7 zenon_H8c zenon_H91 zenon_Hd3 zenon_H95 zenon_H188 zenon_H198 zenon_H28 zenon_H53 zenon_H4c zenon_H8d zenon_Hb1 zenon_Hb0 zenon_H56 zenon_H18d.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 9.95/10.14 apply (zenon_L253_); trivial.
% 9.95/10.14 apply (zenon_L254_); trivial.
% 9.95/10.14 (* end of lemma zenon_L310_ *)
% 9.95/10.14 assert (zenon_L311_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (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 (e1) (e1)) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (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 (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 (e2) (e2)) = (e0))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (~((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)) = (op (e0) (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)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((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 (e2) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> False).
% 9.95/10.14 do 0 intro. intros zenon_Hf8 zenon_H1dd zenon_H64 zenon_H181 zenon_H192 zenon_H12c zenon_H53 zenon_H4c zenon_H103 zenon_Hec zenon_H159 zenon_H1cb zenon_H1b1 zenon_Hb1 zenon_H3c zenon_Hc7 zenon_Hc8 zenon_Hc5 zenon_H27 zenon_H1c3 zenon_Hbc zenon_H1c0 zenon_H15a zenon_H1bc zenon_H2a zenon_H1ba zenon_H90 zenon_H58 zenon_H7d zenon_H7e zenon_H86 zenon_H5e zenon_H128 zenon_Hce zenon_H95 zenon_Hdd zenon_H7a zenon_H187 zenon_H188 zenon_H1b7 zenon_H8c zenon_H91 zenon_Hd3 zenon_H35 zenon_H56 zenon_He3 zenon_H18d.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 9.95/10.14 exact (zenon_H56 zenon_H2c).
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 9.95/10.14 apply (zenon_L247_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 9.95/10.14 apply (zenon_L103_); trivial.
% 9.95/10.14 apply (zenon_L265_); trivial.
% 9.95/10.14 apply (zenon_L266_); trivial.
% 9.95/10.14 apply (zenon_L267_); trivial.
% 9.95/10.14 (* end of lemma zenon_L311_ *)
% 9.95/10.14 assert (zenon_L312_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((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 (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (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 (e2) (e2)) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (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)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> (~((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 (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e1) (e3)) = (e3)) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> False).
% 9.95/10.14 do 0 intro. intros zenon_Hf8 zenon_H10b zenon_H108 zenon_H103 zenon_H132 zenon_H28 zenon_H4c zenon_H90 zenon_H7e zenon_H86 zenon_H8c zenon_H91 zenon_H56 zenon_Hd3 zenon_H42 zenon_H181 zenon_H95 zenon_Hda zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H2a zenon_H1ba zenon_Hdd zenon_H53 zenon_H5e zenon_Hb1 zenon_H18a zenon_H187 zenon_Hc7 zenon_H1e2 zenon_H198 zenon_H17c zenon_Hb0 zenon_H97 zenon_H7d zenon_H7a zenon_H8d zenon_H64 zenon_Hd0 zenon_Hce zenon_H15a zenon_H35 zenon_H27 zenon_H188 zenon_H18d.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 9.95/10.14 apply (zenon_L274_); trivial.
% 9.95/10.14 apply (zenon_L252_); trivial.
% 9.95/10.14 apply (zenon_L301_); trivial.
% 9.95/10.14 (* end of lemma zenon_L312_ *)
% 9.95/10.14 assert (zenon_L313_ : (~((e2) = (e3))) -> ((op (e1) (e3)) = (e3)) -> ((op (e1) (e3)) = (e2)) -> False).
% 9.95/10.14 do 0 intro. intros zenon_H95 zenon_H188 zenon_H9b.
% 9.95/10.14 cut (((op (e1) (e3)) = (e3)) = ((e2) = (e3))).
% 9.95/10.14 intro zenon_D_pnotp.
% 9.95/10.14 apply zenon_H95.
% 9.95/10.14 rewrite <- zenon_D_pnotp.
% 9.95/10.14 exact zenon_H188.
% 9.95/10.14 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 9.95/10.14 cut (((op (e1) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H9c].
% 9.95/10.14 congruence.
% 9.95/10.14 exact (zenon_H9c zenon_H9b).
% 9.95/10.14 apply zenon_H4e. apply refl_equal.
% 9.95/10.14 (* end of lemma zenon_L313_ *)
% 9.95/10.14 assert (zenon_L314_ : ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> False).
% 9.95/10.14 do 0 intro. intros zenon_H1ea zenon_H159 zenon_H35 zenon_H15a zenon_H155 zenon_H3a zenon_H95 zenon_H188 zenon_Hae.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 9.95/10.14 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6a | zenon_intro zenon_Hb2 ].
% 9.95/10.14 apply (zenon_L238_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb3 ].
% 9.95/10.14 exact (zenon_Haf zenon_Hb4).
% 9.95/10.14 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H6e | zenon_intro zenon_H9b ].
% 9.95/10.14 apply (zenon_L223_); trivial.
% 9.95/10.14 apply (zenon_L313_); trivial.
% 9.95/10.14 apply (zenon_L123_); trivial.
% 9.95/10.14 (* end of lemma zenon_L314_ *)
% 9.95/10.14 assert (zenon_L315_ : ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e1))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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))))) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> False).
% 9.95/10.14 do 0 intro. intros zenon_H168 zenon_Hae zenon_H95 zenon_H155 zenon_H35 zenon_H159 zenon_H191 zenon_H188 zenon_H11d zenon_H192 zenon_Hf8 zenon_H132 zenon_H6f zenon_H3c zenon_H3a zenon_H10b zenon_H144 zenon_H145 zenon_H86 zenon_H7e zenon_H7d zenon_H5e zenon_H2a zenon_H12f zenon_H18d zenon_H1ea.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 9.95/10.14 apply (zenon_L297_); trivial.
% 9.95/10.14 apply (zenon_L304_); trivial.
% 9.95/10.14 apply (zenon_L314_); trivial.
% 9.95/10.14 (* end of lemma zenon_L315_ *)
% 9.95/10.14 assert (zenon_L316_ : ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (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) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((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 (e3) (e1)) = (op (e3) (e2)))) -> (((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) (e1)) = (e1))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e0))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (((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) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (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 (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((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 (e0) (e0)) = (op (e0) (e3)))) -> (((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)) = (e0)) -> (~((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 (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((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 (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> False).
% 9.95/10.14 do 0 intro. intros zenon_H158 zenon_H1ea zenon_H12f zenon_H145 zenon_H144 zenon_H6f zenon_H11d zenon_H191 zenon_Hae zenon_H168 zenon_H150 zenon_He3 zenon_H1b1 zenon_H1cb zenon_H159 zenon_Hec zenon_H103 zenon_H12c zenon_H192 zenon_H181 zenon_H1dd zenon_H18d zenon_H56 zenon_Hb0 zenon_Hb1 zenon_H4c zenon_H53 zenon_H28 zenon_H198 zenon_H188 zenon_H95 zenon_Hd3 zenon_H91 zenon_H8c zenon_H1b7 zenon_H187 zenon_H7a zenon_Hdd zenon_Hce zenon_H128 zenon_H5e zenon_H86 zenon_H7e zenon_H7d zenon_H58 zenon_H90 zenon_H1ba zenon_H2a zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_Hda zenon_H15a zenon_H35 zenon_H27 zenon_Hc5 zenon_H3c zenon_H64 zenon_H108 zenon_H155 zenon_Hf8 zenon_H97 zenon_H17c zenon_H1e2 zenon_H18a zenon_H42 zenon_H132 zenon_H10b zenon_Hd2.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 9.95/10.14 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 9.95/10.14 apply (zenon_L310_); trivial.
% 9.95/10.14 apply (zenon_L311_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 9.95/10.14 apply (zenon_L312_); trivial.
% 9.95/10.14 apply (zenon_L221_); trivial.
% 9.95/10.14 apply (zenon_L315_); trivial.
% 9.95/10.14 (* end of lemma zenon_L316_ *)
% 9.95/10.14 assert (zenon_L317_ : (((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)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> False).
% 9.95/10.14 do 0 intro. intros zenon_H97 zenon_H28 zenon_H95 zenon_H34 zenon_H4c zenon_H5d zenon_H187 zenon_H188.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H31 | zenon_intro zenon_H98 ].
% 9.95/10.14 exact (zenon_H28 zenon_H31).
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ].
% 9.95/10.14 apply (zenon_L184_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H52 | zenon_intro zenon_H57 ].
% 9.95/10.14 apply (zenon_L130_); trivial.
% 9.95/10.14 apply (zenon_L167_); trivial.
% 9.95/10.14 (* end of lemma zenon_L317_ *)
% 9.95/10.14 assert (zenon_L318_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e1) (e1)) = (e2))) -> (((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 (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 (e2) (e2)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((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))))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e2) = (e3))) -> False).
% 9.95/10.14 do 0 intro. intros zenon_H42 zenon_H27 zenon_H188 zenon_H187 zenon_H97 zenon_H28 zenon_H35 zenon_H112 zenon_Hcf zenon_Haf zenon_Hde zenon_H12c zenon_H181 zenon_Hc7 zenon_H1e2 zenon_Hc8 zenon_Hab zenon_H15a zenon_H198 zenon_H7e zenon_H192 zenon_H90 zenon_H1bc zenon_Hd3 zenon_H91 zenon_H8c zenon_H7a zenon_H80 zenon_H7f zenon_H86 zenon_H7d zenon_H5e zenon_H1b1 zenon_H4c zenon_H5d zenon_H95.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 9.95/10.14 exact (zenon_H27 zenon_H32).
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 9.95/10.14 apply (zenon_L317_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 9.95/10.14 apply (zenon_L70_); trivial.
% 9.95/10.14 apply (zenon_L294_); trivial.
% 9.95/10.14 (* end of lemma zenon_L318_ *)
% 9.95/10.14 assert (zenon_L319_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (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) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (e1))) -> (((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 (e2) (e2)) = (e3))) -> (~((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 (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (((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 (e0) (e0)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (((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) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (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 (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((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 (e0) (e0)) = (op (e0) (e3)))) -> (((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)) = (e0)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> False).
% 9.95/10.14 do 0 intro. intros zenon_Hf8 zenon_H1dd zenon_H1b4 zenon_H64 zenon_H8d zenon_H97 zenon_H4c zenon_H192 zenon_H12c zenon_Hab zenon_Hc8 zenon_Hc7 zenon_H181 zenon_H1e2 zenon_Hde zenon_H112 zenon_Haf zenon_H1b1 zenon_H42 zenon_H28 zenon_H198 zenon_H188 zenon_H95 zenon_Hcf zenon_H35 zenon_Hd3 zenon_H91 zenon_H8c zenon_H1b7 zenon_H187 zenon_H7a zenon_Hdd zenon_Hce zenon_H128 zenon_H5e zenon_H86 zenon_H7e zenon_H7d zenon_H58 zenon_H90 zenon_H1ba zenon_H2a zenon_H1bc zenon_H15a zenon_H1c0 zenon_H1c3 zenon_H27 zenon_Hda zenon_H56 zenon_H18d.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 9.95/10.14 exact (zenon_H56 zenon_H2c).
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 9.95/10.14 apply (zenon_L248_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 9.95/10.14 apply (zenon_L318_); trivial.
% 9.95/10.14 apply (zenon_L87_); trivial.
% 9.95/10.14 apply (zenon_L252_); trivial.
% 9.95/10.14 apply (zenon_L308_); trivial.
% 9.95/10.14 (* end of lemma zenon_L319_ *)
% 9.95/10.14 assert (zenon_L320_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (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)) = (e3))) -> (~((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 (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (((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 (e0) (e0)) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (~((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)) = (op (e0) (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)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((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 (e2) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> False).
% 9.95/10.14 do 0 intro. intros zenon_Hf8 zenon_H1dd zenon_H64 zenon_H53 zenon_H103 zenon_Hec zenon_H159 zenon_H1cb zenon_H97 zenon_H4c zenon_H28 zenon_H192 zenon_H12c zenon_H198 zenon_Hab zenon_Hc8 zenon_Hc7 zenon_H181 zenon_H1e2 zenon_Hde zenon_Hcf zenon_H112 zenon_Haf zenon_H1b1 zenon_H42 zenon_H27 zenon_H1c3 zenon_Hbc zenon_H1c0 zenon_H15a zenon_H1bc zenon_H2a zenon_H1ba zenon_H90 zenon_H58 zenon_H7d zenon_H7e zenon_H86 zenon_H5e zenon_H128 zenon_Hce zenon_H95 zenon_Hdd zenon_H7a zenon_H187 zenon_H188 zenon_H1b7 zenon_H8c zenon_H91 zenon_Hd3 zenon_H35 zenon_H56 zenon_Hda zenon_He3 zenon_H18d.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 9.95/10.14 exact (zenon_H56 zenon_H2c).
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 9.95/10.14 apply (zenon_L247_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 9.95/10.14 apply (zenon_L318_); trivial.
% 9.95/10.14 apply (zenon_L265_); trivial.
% 9.95/10.14 apply (zenon_L296_); trivial.
% 9.95/10.14 apply (zenon_L306_); trivial.
% 9.95/10.14 (* end of lemma zenon_L320_ *)
% 9.95/10.14 assert (zenon_L321_ : ((op (e2) (e2)) = (e2)) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> False).
% 9.95/10.14 do 0 intro. intros zenon_H3a zenon_Hcf zenon_Hc6.
% 9.95/10.14 elim (classic ((op (e2) (e2)) = (op (e2) (e2)))); [ zenon_intro zenon_H3d | zenon_intro zenon_H3e ].
% 9.95/10.14 cut (((op (e2) (e2)) = (op (e2) (e2))) = ((op (e2) (e0)) = (op (e2) (e2)))).
% 9.95/10.14 intro zenon_D_pnotp.
% 9.95/10.14 apply zenon_Hc6.
% 9.95/10.14 rewrite <- zenon_D_pnotp.
% 9.95/10.14 exact zenon_H3d.
% 9.95/10.14 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H3e].
% 9.95/10.14 cut (((op (e2) (e2)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1eb].
% 9.95/10.14 congruence.
% 9.95/10.14 cut (((op (e2) (e2)) = (e2)) = ((op (e2) (e2)) = (op (e2) (e0)))).
% 9.95/10.14 intro zenon_D_pnotp.
% 9.95/10.14 apply zenon_H1eb.
% 9.95/10.14 rewrite <- zenon_D_pnotp.
% 9.95/10.14 exact zenon_H3a.
% 9.95/10.14 cut (((e2) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1ec].
% 9.95/10.14 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H3e].
% 9.95/10.14 congruence.
% 9.95/10.14 apply zenon_H3e. apply refl_equal.
% 9.95/10.14 apply zenon_H1ec. apply sym_equal. exact zenon_Hcf.
% 9.95/10.14 apply zenon_H3e. apply refl_equal.
% 9.95/10.14 apply zenon_H3e. apply refl_equal.
% 9.95/10.14 (* end of lemma zenon_L321_ *)
% 9.95/10.14 assert (zenon_L322_ : ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((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 (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((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)) = (op (e0) (e3)))) -> (((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 (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 (e0) (e1)) = (op (e2) (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 (e3) (e1)) = (op (e3) (e2)))) -> (~((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) (e3)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (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) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e1))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (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) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((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)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> (((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((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 (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> False).
% 9.95/10.14 do 0 intro. intros zenon_H67 zenon_Hab zenon_Hde zenon_H112 zenon_Hc6 zenon_H18a zenon_H1e2 zenon_H17c zenon_H64 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H90 zenon_H58 zenon_H128 zenon_Hce zenon_Hdd zenon_H7a zenon_H1b7 zenon_H8c zenon_Hd3 zenon_Hb0 zenon_H12c zenon_Hec zenon_H159 zenon_H1cb zenon_H1b1 zenon_He3 zenon_H150 zenon_H168 zenon_Hae zenon_H191 zenon_H188 zenon_H11d zenon_H192 zenon_H156 zenon_H1b4 zenon_H198 zenon_H1dd zenon_Hda zenon_H56 zenon_Hd2 zenon_H42 zenon_H181 zenon_H132 zenon_H103 zenon_H4c zenon_H35 zenon_H95 zenon_H10b zenon_H187 zenon_H97 zenon_H18d zenon_H12f zenon_H2a zenon_H5e zenon_H7d zenon_H7e zenon_H86 zenon_H145 zenon_H108 zenon_H53 zenon_H155 zenon_H3c zenon_H91 zenon_Hc5 zenon_Hf8 zenon_H6f zenon_H144 zenon_H158 zenon_H1ea zenon_H4a.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 9.95/10.14 apply (zenon_L297_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 9.95/10.14 apply (zenon_L305_); trivial.
% 9.95/10.14 apply (zenon_L309_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 9.95/10.14 apply (zenon_L316_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 9.95/10.14 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 9.95/10.14 apply (zenon_L319_); trivial.
% 9.95/10.14 apply (zenon_L320_); trivial.
% 9.95/10.14 apply (zenon_L44_); trivial.
% 9.95/10.14 apply (zenon_L321_); trivial.
% 9.95/10.14 apply (zenon_L123_); trivial.
% 9.95/10.14 apply (zenon_L213_); trivial.
% 9.95/10.14 apply (zenon_L101_); trivial.
% 9.95/10.14 (* end of lemma zenon_L322_ *)
% 9.95/10.14 assert (zenon_L323_ : (((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).
% 9.95/10.14 do 0 intro. intros zenon_H191 zenon_H68 zenon_H1f zenon_H192 zenon_Haf zenon_Hc1.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Heb | zenon_intro zenon_H193 ].
% 9.95/10.14 cut (((op (e0) (e1)) = (e0)) = ((op (e0) (e1)) = (op (e1) (e1)))).
% 9.95/10.14 intro zenon_D_pnotp.
% 9.95/10.14 apply zenon_H1f.
% 9.95/10.14 rewrite <- zenon_D_pnotp.
% 9.95/10.14 exact zenon_H68.
% 9.95/10.14 cut (((e0) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H196].
% 9.95/10.14 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H2e].
% 9.95/10.14 congruence.
% 9.95/10.14 apply zenon_H2e. apply refl_equal.
% 9.95/10.14 apply zenon_H196. apply sym_equal. exact zenon_Heb.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H1d | zenon_intro zenon_H194 ].
% 9.95/10.14 exact (zenon_H192 zenon_H1d).
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hc4 ].
% 9.95/10.14 exact (zenon_Haf zenon_Hb4).
% 9.95/10.14 exact (zenon_Hc1 zenon_Hc4).
% 9.95/10.14 (* end of lemma zenon_L323_ *)
% 9.95/10.14 assert (zenon_L324_ : ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> False).
% 9.95/10.14 do 0 intro. intros zenon_H1ea zenon_H15a zenon_H159 zenon_H1f zenon_H68 zenon_H192 zenon_Hc1 zenon_H191.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 9.95/10.14 apply (zenon_L323_); trivial.
% 9.95/10.14 apply (zenon_L123_); trivial.
% 9.95/10.14 (* end of lemma zenon_L324_ *)
% 9.95/10.14 assert (zenon_L325_ : ((op (e1) (e1)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> False).
% 9.95/10.14 do 0 intro. intros zenon_H1d zenon_H15a zenon_H195.
% 9.95/10.14 elim (classic ((op (e1) (e1)) = (op (e1) (e1)))); [ zenon_intro zenon_H20 | zenon_intro zenon_H21 ].
% 9.95/10.14 cut (((op (e1) (e1)) = (op (e1) (e1))) = ((op (e1) (e0)) = (op (e1) (e1)))).
% 9.95/10.14 intro zenon_D_pnotp.
% 9.95/10.14 apply zenon_H195.
% 9.95/10.14 rewrite <- zenon_D_pnotp.
% 9.95/10.14 exact zenon_H20.
% 9.95/10.14 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H21].
% 9.95/10.14 cut (((op (e1) (e1)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1ed].
% 9.95/10.14 congruence.
% 9.95/10.14 cut (((op (e1) (e1)) = (e1)) = ((op (e1) (e1)) = (op (e1) (e0)))).
% 9.95/10.14 intro zenon_D_pnotp.
% 9.95/10.14 apply zenon_H1ed.
% 9.95/10.14 rewrite <- zenon_D_pnotp.
% 9.95/10.14 exact zenon_H1d.
% 9.95/10.14 cut (((e1) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1ee].
% 9.95/10.14 cut (((op (e1) (e1)) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H21].
% 9.95/10.14 congruence.
% 9.95/10.14 apply zenon_H21. apply refl_equal.
% 9.95/10.14 apply zenon_H1ee. apply sym_equal. exact zenon_H15a.
% 9.95/10.14 apply zenon_H21. apply refl_equal.
% 9.95/10.14 apply zenon_H21. apply refl_equal.
% 9.95/10.14 (* end of lemma zenon_L325_ *)
% 9.95/10.14 assert (zenon_L326_ : ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((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) (e0)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> False).
% 9.95/10.14 do 0 intro. intros zenon_H1ef zenon_H195 zenon_H1ea zenon_H15a zenon_H159 zenon_H1f zenon_H68 zenon_H191 zenon_H198 zenon_H1af.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 9.95/10.14 apply (zenon_L324_); trivial.
% 9.95/10.14 apply (zenon_L194_); trivial.
% 9.95/10.14 apply (zenon_L325_); trivial.
% 9.95/10.14 (* end of lemma zenon_L326_ *)
% 9.95/10.14 assert (zenon_L327_ : ((op (e3) (e1)) = (e1)) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> False).
% 9.95/10.14 do 0 intro. intros zenon_Hf2 zenon_H1e zenon_H1f0.
% 9.95/10.14 elim (classic ((op (e3) (e1)) = (op (e3) (e1)))); [ zenon_intro zenon_H115 | zenon_intro zenon_Hef ].
% 9.95/10.14 cut (((op (e3) (e1)) = (op (e3) (e1))) = ((op (e0) (e1)) = (op (e3) (e1)))).
% 9.95/10.14 intro zenon_D_pnotp.
% 9.95/10.14 apply zenon_H1f0.
% 9.95/10.14 rewrite <- zenon_D_pnotp.
% 9.95/10.14 exact zenon_H115.
% 9.95/10.14 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hef].
% 9.95/10.14 cut (((op (e3) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1f1].
% 9.95/10.14 congruence.
% 9.95/10.14 cut (((op (e3) (e1)) = (e1)) = ((op (e3) (e1)) = (op (e0) (e1)))).
% 9.95/10.14 intro zenon_D_pnotp.
% 9.95/10.14 apply zenon_H1f1.
% 9.95/10.14 rewrite <- zenon_D_pnotp.
% 9.95/10.14 exact zenon_Hf2.
% 9.95/10.14 cut (((e1) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H23].
% 9.95/10.14 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hef].
% 9.95/10.14 congruence.
% 9.95/10.14 apply zenon_Hef. apply refl_equal.
% 9.95/10.14 apply zenon_H23. apply sym_equal. exact zenon_H1e.
% 9.95/10.14 apply zenon_Hef. apply refl_equal.
% 9.95/10.14 apply zenon_Hef. apply refl_equal.
% 9.95/10.14 (* end of lemma zenon_L327_ *)
% 9.95/10.14 assert (zenon_L328_ : (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e3) (e2)) = (e1)) -> False).
% 9.95/10.14 do 0 intro. intros zenon_H1e6 zenon_H100 zenon_Hf3.
% 9.95/10.14 cut (((op (e1) (e2)) = (e1)) = ((op (e1) (e2)) = (op (e3) (e2)))).
% 9.95/10.14 intro zenon_D_pnotp.
% 9.95/10.14 apply zenon_H1e6.
% 9.95/10.14 rewrite <- zenon_D_pnotp.
% 9.95/10.14 exact zenon_H100.
% 9.95/10.14 cut (((e1) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1da].
% 9.95/10.14 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H71].
% 9.95/10.14 congruence.
% 9.95/10.14 apply zenon_H71. apply refl_equal.
% 9.95/10.14 apply zenon_H1da. apply sym_equal. exact zenon_Hf3.
% 9.95/10.14 (* end of lemma zenon_L328_ *)
% 9.95/10.14 assert (zenon_L329_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 9.95/10.14 do 0 intro. intros zenon_Hf5 zenon_Hbc zenon_H4c zenon_H1f0 zenon_H1e zenon_H100 zenon_H1e6 zenon_H7e.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hf6 ].
% 9.95/10.14 apply (zenon_L139_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hf7 ].
% 9.95/10.14 apply (zenon_L327_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H83 ].
% 9.95/10.14 apply (zenon_L328_); trivial.
% 9.95/10.14 exact (zenon_H7e zenon_H83).
% 9.95/10.14 (* end of lemma zenon_L329_ *)
% 9.95/10.14 assert (zenon_L330_ : (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e2)) -> ((op (e1) (e1)) = (e2)) -> False).
% 9.95/10.14 do 0 intro. intros zenon_H1f zenon_H34 zenon_Hb4.
% 9.95/10.14 cut (((op (e0) (e1)) = (e2)) = ((op (e0) (e1)) = (op (e1) (e1)))).
% 9.95/10.14 intro zenon_D_pnotp.
% 9.95/10.14 apply zenon_H1f.
% 9.95/10.14 rewrite <- zenon_D_pnotp.
% 9.95/10.14 exact zenon_H34.
% 9.95/10.14 cut (((e2) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1c9].
% 9.95/10.14 cut (((op (e0) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H2e].
% 9.95/10.14 congruence.
% 9.95/10.14 apply zenon_H2e. apply refl_equal.
% 9.95/10.14 apply zenon_H1c9. apply sym_equal. exact zenon_Hb4.
% 9.95/10.14 (* end of lemma zenon_L330_ *)
% 9.95/10.14 assert (zenon_L331_ : (((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).
% 9.95/10.14 do 0 intro. intros zenon_H191 zenon_He8 zenon_H192 zenon_H34 zenon_H1f zenon_Hc1.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Heb | zenon_intro zenon_H193 ].
% 9.95/10.14 exact (zenon_He8 zenon_Heb).
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H1d | zenon_intro zenon_H194 ].
% 9.95/10.14 exact (zenon_H192 zenon_H1d).
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hc4 ].
% 9.95/10.14 apply (zenon_L330_); trivial.
% 9.95/10.14 exact (zenon_Hc1 zenon_Hc4).
% 9.95/10.14 (* end of lemma zenon_L331_ *)
% 9.95/10.14 assert (zenon_L332_ : (~((op (op (e1) (e1)) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e2)) -> False).
% 9.95/10.14 do 0 intro. intros zenon_H1f2 zenon_Hb4.
% 9.95/10.14 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 9.95/10.14 cut (((op (e1) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Haf].
% 9.95/10.14 congruence.
% 9.95/10.14 exact (zenon_Haf zenon_Hb4).
% 9.95/10.14 apply zenon_H33. apply refl_equal.
% 9.95/10.14 (* end of lemma zenon_L332_ *)
% 9.95/10.14 assert (zenon_L333_ : ((op (e2) (e1)) = (e0)) -> ((op (e1) (e1)) = (e2)) -> (~((e0) = (op (op (e1) (e1)) (e1)))) -> False).
% 9.95/10.14 do 0 intro. intros zenon_H78 zenon_Hb4 zenon_H19e.
% 9.95/10.14 elim (classic ((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [ zenon_intro zenon_H19f | zenon_intro zenon_H1a0 ].
% 9.95/10.14 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1))) = ((e0) = (op (op (e1) (e1)) (e1)))).
% 9.95/10.14 intro zenon_D_pnotp.
% 9.95/10.14 apply zenon_H19e.
% 9.95/10.14 rewrite <- zenon_D_pnotp.
% 9.95/10.14 exact zenon_H19f.
% 9.95/10.14 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1a0].
% 9.95/10.14 cut (((op (op (e1) (e1)) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1a1].
% 9.95/10.14 congruence.
% 9.95/10.14 cut (((op (e2) (e1)) = (e0)) = ((op (op (e1) (e1)) (e1)) = (e0))).
% 9.95/10.14 intro zenon_D_pnotp.
% 9.95/10.14 apply zenon_H1a1.
% 9.95/10.14 rewrite <- zenon_D_pnotp.
% 9.95/10.14 exact zenon_H78.
% 9.95/10.14 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H41].
% 9.95/10.14 cut (((op (e2) (e1)) = (op (op (e1) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1f3].
% 9.95/10.14 congruence.
% 9.95/10.14 elim (classic ((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [ zenon_intro zenon_H19f | zenon_intro zenon_H1a0 ].
% 9.95/10.14 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1))) = ((op (e2) (e1)) = (op (op (e1) (e1)) (e1)))).
% 9.95/10.14 intro zenon_D_pnotp.
% 9.95/10.14 apply zenon_H1f3.
% 9.95/10.14 rewrite <- zenon_D_pnotp.
% 9.95/10.14 exact zenon_H19f.
% 9.95/10.14 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1a0].
% 9.95/10.14 cut (((op (op (e1) (e1)) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1f2].
% 9.95/10.14 congruence.
% 9.95/10.14 apply (zenon_L332_); trivial.
% 9.95/10.14 apply zenon_H1a0. apply refl_equal.
% 9.95/10.14 apply zenon_H1a0. apply refl_equal.
% 9.95/10.14 apply zenon_H41. apply refl_equal.
% 9.95/10.14 apply zenon_H1a0. apply refl_equal.
% 9.95/10.14 apply zenon_H1a0. apply refl_equal.
% 9.95/10.14 (* end of lemma zenon_L333_ *)
% 9.95/10.14 assert (zenon_L334_ : ((op (e0) (e1)) = (e3)) -> ((op (e2) (e1)) = (e0)) -> ((op (e1) (e1)) = (e2)) -> False).
% 9.95/10.14 do 0 intro. intros zenon_H4b zenon_H78 zenon_Hb4.
% 9.95/10.14 apply (zenon_notand_s _ _ ax22); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H1f4 ].
% 9.95/10.14 apply zenon_H1c9. apply sym_equal. exact zenon_Hb4.
% 9.95/10.14 apply (zenon_notand_s _ _ zenon_H1f4); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H19e ].
% 9.95/10.14 elim (classic ((op (op (op (e1) (e1)) (e1)) (e1)) = (op (op (op (e1) (e1)) (e1)) (e1)))); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1a7 ].
% 9.95/10.14 cut (((op (op (op (e1) (e1)) (e1)) (e1)) = (op (op (op (e1) (e1)) (e1)) (e1))) = ((e3) = (op (op (op (e1) (e1)) (e1)) (e1)))).
% 9.95/10.14 intro zenon_D_pnotp.
% 9.95/10.14 apply zenon_H1f5.
% 9.95/10.14 rewrite <- zenon_D_pnotp.
% 9.95/10.14 exact zenon_H1a6.
% 9.95/10.14 cut (((op (op (op (e1) (e1)) (e1)) (e1)) = (op (op (op (e1) (e1)) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1a7].
% 9.95/10.14 cut (((op (op (op (e1) (e1)) (e1)) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H1f6].
% 9.95/10.14 congruence.
% 9.95/10.14 cut (((op (e0) (e1)) = (e3)) = ((op (op (op (e1) (e1)) (e1)) (e1)) = (e3))).
% 9.95/10.14 intro zenon_D_pnotp.
% 9.95/10.14 apply zenon_H1f6.
% 9.95/10.14 rewrite <- zenon_D_pnotp.
% 9.95/10.14 exact zenon_H4b.
% 9.95/10.14 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 9.95/10.14 cut (((op (e0) (e1)) = (op (op (op (e1) (e1)) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1a9].
% 9.95/10.14 congruence.
% 9.95/10.14 elim (classic ((op (op (op (e1) (e1)) (e1)) (e1)) = (op (op (op (e1) (e1)) (e1)) (e1)))); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1a7 ].
% 9.95/10.14 cut (((op (op (op (e1) (e1)) (e1)) (e1)) = (op (op (op (e1) (e1)) (e1)) (e1))) = ((op (e0) (e1)) = (op (op (op (e1) (e1)) (e1)) (e1)))).
% 9.95/10.14 intro zenon_D_pnotp.
% 9.95/10.14 apply zenon_H1a9.
% 9.95/10.14 rewrite <- zenon_D_pnotp.
% 9.95/10.14 exact zenon_H1a6.
% 9.95/10.14 cut (((op (op (op (e1) (e1)) (e1)) (e1)) = (op (op (op (e1) (e1)) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1a7].
% 9.95/10.14 cut (((op (op (op (e1) (e1)) (e1)) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1aa].
% 9.95/10.14 congruence.
% 9.95/10.14 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 9.95/10.14 cut (((op (op (e1) (e1)) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H1a1].
% 9.95/10.14 congruence.
% 9.95/10.14 cut (((op (e2) (e1)) = (e0)) = ((op (op (e1) (e1)) (e1)) = (e0))).
% 9.95/10.14 intro zenon_D_pnotp.
% 9.95/10.14 apply zenon_H1a1.
% 9.95/10.14 rewrite <- zenon_D_pnotp.
% 9.95/10.14 exact zenon_H78.
% 9.95/10.14 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H41].
% 9.95/10.14 cut (((op (e2) (e1)) = (op (op (e1) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1f3].
% 9.95/10.14 congruence.
% 9.95/10.14 elim (classic ((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [ zenon_intro zenon_H19f | zenon_intro zenon_H1a0 ].
% 9.95/10.14 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1))) = ((op (e2) (e1)) = (op (op (e1) (e1)) (e1)))).
% 9.95/10.14 intro zenon_D_pnotp.
% 9.95/10.14 apply zenon_H1f3.
% 9.95/10.14 rewrite <- zenon_D_pnotp.
% 9.95/10.14 exact zenon_H19f.
% 9.95/10.14 cut (((op (op (e1) (e1)) (e1)) = (op (op (e1) (e1)) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1a0].
% 9.95/10.14 cut (((op (op (e1) (e1)) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H1f2].
% 9.95/10.14 congruence.
% 9.95/10.14 apply (zenon_L332_); trivial.
% 9.95/10.14 apply zenon_H1a0. apply refl_equal.
% 9.95/10.14 apply zenon_H1a0. apply refl_equal.
% 9.95/10.14 apply zenon_H41. apply refl_equal.
% 9.95/10.14 apply zenon_H33. apply refl_equal.
% 9.95/10.14 apply zenon_H1a7. apply refl_equal.
% 9.95/10.14 apply zenon_H1a7. apply refl_equal.
% 9.95/10.14 apply zenon_H4e. apply refl_equal.
% 9.95/10.14 apply zenon_H1a7. apply refl_equal.
% 9.95/10.14 apply zenon_H1a7. apply refl_equal.
% 9.95/10.14 apply (zenon_L333_); trivial.
% 9.95/10.14 (* end of lemma zenon_L334_ *)
% 9.95/10.14 assert (zenon_L335_ : (((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 (e2) (e1)) = (e0)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (e3))) -> False).
% 9.95/10.14 do 0 intro. intros zenon_H191 zenon_He8 zenon_H192 zenon_H78 zenon_H4b zenon_Hc1.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Heb | zenon_intro zenon_H193 ].
% 9.95/10.14 exact (zenon_He8 zenon_Heb).
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H1d | zenon_intro zenon_H194 ].
% 9.95/10.14 exact (zenon_H192 zenon_H1d).
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hc4 ].
% 9.95/10.14 apply (zenon_L334_); trivial.
% 9.95/10.14 exact (zenon_Hc1 zenon_Hc4).
% 9.95/10.14 (* end of lemma zenon_L335_ *)
% 9.95/10.14 assert (zenon_L336_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((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) (e2)) = (e0))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (~((e0) = (e1))) -> False).
% 9.95/10.14 do 0 intro. intros zenon_Hb0 zenon_H53 zenon_Hc1 zenon_H4b zenon_H192 zenon_He8 zenon_H191 zenon_Hb1 zenon_H90 zenon_H4c zenon_H74 zenon_Hd3 zenon_H1e zenon_H91 zenon_H5e.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hb5 ].
% 9.95/10.14 apply (zenon_L20_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H78 | zenon_intro zenon_Hb6 ].
% 9.95/10.14 apply (zenon_L335_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H89 ].
% 9.95/10.14 exact (zenon_Hb1 zenon_Hb7).
% 9.95/10.14 apply (zenon_L250_); trivial.
% 9.95/10.14 (* end of lemma zenon_L336_ *)
% 9.95/10.14 assert (zenon_L337_ : ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (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).
% 9.95/10.14 do 0 intro. intros zenon_H18d zenon_H188 zenon_H86 zenon_H7a zenon_H43 zenon_H7e zenon_H7f zenon_H7d.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 9.95/10.14 apply (zenon_L24_); trivial.
% 9.95/10.14 apply (zenon_L252_); trivial.
% 9.95/10.14 (* end of lemma zenon_L337_ *)
% 9.95/10.14 assert (zenon_L338_ : (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> ((op (e1) (e3)) = (e0)) -> ((op (e0) (e3)) = (e2)) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 9.95/10.14 do 0 intro. intros zenon_H7d zenon_H8d zenon_H87 zenon_H47 zenon_H7f zenon_H80.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H7b | zenon_intro zenon_H81 ].
% 9.95/10.14 exact (zenon_H8d zenon_H7b).
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H83 | zenon_intro zenon_H82 ].
% 9.95/10.14 apply (zenon_L91_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H85 | zenon_intro zenon_H84 ].
% 9.95/10.14 exact (zenon_H7f zenon_H85).
% 9.95/10.14 exact (zenon_H80 zenon_H84).
% 9.95/10.14 (* end of lemma zenon_L338_ *)
% 9.95/10.14 assert (zenon_L339_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e3)) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e3)) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> ((op (e0) (e3)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 9.95/10.14 do 0 intro. intros zenon_H90 zenon_H74 zenon_H4c zenon_Hb9 zenon_H91 zenon_H8c zenon_H7e zenon_H7a zenon_H86 zenon_H188 zenon_H18d zenon_H80 zenon_H7f zenon_H47 zenon_H7d zenon_H5e zenon_H8d.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H76 | zenon_intro zenon_H92 ].
% 9.95/10.14 apply (zenon_L21_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H77 | zenon_intro zenon_H93 ].
% 9.95/10.14 apply (zenon_L48_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H94 | zenon_intro zenon_H8a ].
% 9.95/10.14 exact (zenon_H91 zenon_H94).
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H43 | zenon_intro zenon_H8e ].
% 9.95/10.14 apply (zenon_L337_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H87 | zenon_intro zenon_H8f ].
% 9.95/10.14 apply (zenon_L338_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H7b ].
% 9.95/10.14 apply (zenon_L27_); trivial.
% 9.95/10.14 exact (zenon_H8d zenon_H7b).
% 9.95/10.14 (* end of lemma zenon_L339_ *)
% 9.95/10.14 assert (zenon_L340_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((e0) = (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 (e3) (e3)) = (e0))) -> False).
% 9.95/10.14 do 0 intro. intros zenon_H14d zenon_H5e zenon_H53 zenon_H7f zenon_H44 zenon_H95 zenon_Hbd zenon_Hf0 zenon_H35 zenon_H177 zenon_H8d.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_He4 | zenon_intro zenon_H14e ].
% 9.95/10.14 apply (zenon_L62_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_He5 | zenon_intro zenon_H14f ].
% 9.95/10.14 apply (zenon_L112_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H106 | zenon_intro zenon_H7b ].
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H178 ].
% 9.95/10.14 apply (zenon_L211_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H179 ].
% 9.95/10.14 apply (zenon_L50_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H135 | zenon_intro zenon_H85 ].
% 9.95/10.14 apply (zenon_L113_); trivial.
% 9.95/10.14 exact (zenon_H7f zenon_H85).
% 9.95/10.14 exact (zenon_H8d zenon_H7b).
% 9.95/10.14 (* end of lemma zenon_L340_ *)
% 9.95/10.14 assert (zenon_L341_ : (((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)) = (e2)) -> (~((e2) = (e3))) -> False).
% 9.95/10.14 do 0 intro. intros zenon_H97 zenon_H28 zenon_H53 zenon_H68 zenon_H4c zenon_H5d zenon_H47 zenon_H95.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H31 | zenon_intro zenon_H98 ].
% 9.95/10.14 exact (zenon_H28 zenon_H31).
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ].
% 9.95/10.14 apply (zenon_L30_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H52 | zenon_intro zenon_H57 ].
% 9.95/10.14 apply (zenon_L130_); trivial.
% 9.95/10.14 apply (zenon_L54_); trivial.
% 9.95/10.14 (* end of lemma zenon_L341_ *)
% 9.95/10.14 assert (zenon_L342_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (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)) -> (~((e2) = (e3))) -> False).
% 9.95/10.14 do 0 intro. intros zenon_H42 zenon_H27 zenon_H44 zenon_H3c zenon_H3a zenon_H97 zenon_H28 zenon_H53 zenon_H68 zenon_H4c zenon_H5d zenon_H95.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 9.95/10.14 exact (zenon_H27 zenon_H32).
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 9.95/10.14 apply (zenon_L16_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 9.95/10.14 apply (zenon_L5_); trivial.
% 9.95/10.14 apply (zenon_L341_); trivial.
% 9.95/10.14 (* end of lemma zenon_L342_ *)
% 9.95/10.14 assert (zenon_L343_ : (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e0)) -> False).
% 9.95/10.14 do 0 intro. intros zenon_H1cb zenon_H51 zenon_H43.
% 9.95/10.14 cut (((op (e0) (e2)) = (e0)) = ((op (e0) (e2)) = (op (e0) (e3)))).
% 9.95/10.14 intro zenon_D_pnotp.
% 9.95/10.14 apply zenon_H1cb.
% 9.95/10.14 rewrite <- zenon_D_pnotp.
% 9.95/10.14 exact zenon_H51.
% 9.95/10.14 cut (((e0) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H11c].
% 9.95/10.14 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H134].
% 9.95/10.14 congruence.
% 9.95/10.14 apply zenon_H134. apply refl_equal.
% 9.95/10.14 apply zenon_H11c. apply sym_equal. exact zenon_H43.
% 9.95/10.14 (* end of lemma zenon_L343_ *)
% 9.95/10.14 assert (zenon_L344_ : (((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 (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e1) = (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))))) -> (~((e0) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((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) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 9.95/10.14 do 0 intro. intros zenon_H64 zenon_H56 zenon_H7e zenon_H1e6 zenon_H1f0 zenon_H4c zenon_Hf5 zenon_Hb0 zenon_H53 zenon_H86 zenon_H1cb zenon_H51 zenon_H8c zenon_Hb1 zenon_H90 zenon_Hd3 zenon_H91 zenon_H5e zenon_H188 zenon_H198 zenon_H28 zenon_Hda zenon_H6f zenon_H100 zenon_H7d zenon_H8d zenon_H7a zenon_H7f zenon_H80.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 9.95/10.14 exact (zenon_H56 zenon_H2c).
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 9.95/10.14 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdb ].
% 9.95/10.14 exact (zenon_H28 zenon_H31).
% 9.95/10.14 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H6c | zenon_intro zenon_Hdc ].
% 9.95/10.14 apply (zenon_L239_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H74 | zenon_intro zenon_Hbc ].
% 9.95/10.14 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hb5 ].
% 9.95/10.14 apply (zenon_L20_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H78 | zenon_intro zenon_Hb6 ].
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H76 | zenon_intro zenon_H92 ].
% 9.95/10.14 apply (zenon_L21_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H77 | zenon_intro zenon_H93 ].
% 9.95/10.14 apply (zenon_L22_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H94 | zenon_intro zenon_H8a ].
% 9.95/10.14 exact (zenon_H91 zenon_H94).
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H43 | zenon_intro zenon_H8e ].
% 9.95/10.14 apply (zenon_L343_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H87 | zenon_intro zenon_H8f ].
% 9.95/10.14 apply (zenon_L26_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H7b ].
% 9.95/10.14 apply (zenon_L27_); trivial.
% 9.95/10.14 exact (zenon_H8d zenon_H7b).
% 9.95/10.14 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H89 ].
% 9.95/10.14 exact (zenon_Hb1 zenon_Hb7).
% 9.95/10.14 apply (zenon_L250_); trivial.
% 9.95/10.14 apply (zenon_L329_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 9.95/10.14 apply (zenon_L228_); trivial.
% 9.95/10.14 apply (zenon_L87_); trivial.
% 9.95/10.14 (* end of lemma zenon_L344_ *)
% 9.95/10.14 assert (zenon_L345_ : (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> False).
% 9.95/10.14 do 0 intro. intros zenon_H144 zenon_H68 zenon_Hfd zenon_H6f zenon_H100 zenon_H3c zenon_H3a zenon_Hed zenon_H10b.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H51 | zenon_intro zenon_H148 ].
% 9.95/10.14 apply (zenon_L69_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H5d | zenon_intro zenon_H149 ].
% 9.95/10.14 apply (zenon_L228_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H3b | zenon_intro zenon_H52 ].
% 9.95/10.14 apply (zenon_L5_); trivial.
% 9.95/10.14 apply (zenon_L75_); trivial.
% 9.95/10.14 (* end of lemma zenon_L345_ *)
% 9.95/10.14 assert (zenon_L346_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (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))))) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 9.95/10.14 do 0 intro. intros zenon_Hda zenon_H28 zenon_H198 zenon_H188 zenon_H5e zenon_H91 zenon_Hd3 zenon_H90 zenon_Hb1 zenon_H191 zenon_He8 zenon_H192 zenon_H4b zenon_Hc1 zenon_H53 zenon_Hb0 zenon_Hf5 zenon_H4c zenon_H1f0 zenon_H1e zenon_H100 zenon_H1e6 zenon_H7e.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdb ].
% 9.95/10.14 exact (zenon_H28 zenon_H31).
% 9.95/10.14 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H6c | zenon_intro zenon_Hdc ].
% 9.95/10.14 apply (zenon_L239_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H74 | zenon_intro zenon_Hbc ].
% 9.95/10.14 apply (zenon_L336_); trivial.
% 9.95/10.14 apply (zenon_L329_); trivial.
% 9.95/10.14 (* end of lemma zenon_L346_ *)
% 9.95/10.14 assert (zenon_L347_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 9.95/10.14 do 0 intro. intros zenon_Hda zenon_H28 zenon_H198 zenon_H188 zenon_H53 zenon_H73 zenon_Hf5 zenon_H4c zenon_H1f0 zenon_H1e zenon_H100 zenon_H1e6 zenon_H7e.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdb ].
% 9.95/10.14 exact (zenon_H28 zenon_H31).
% 9.95/10.14 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H6c | zenon_intro zenon_Hdc ].
% 9.95/10.14 apply (zenon_L239_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H74 | zenon_intro zenon_Hbc ].
% 9.95/10.14 apply (zenon_L20_); trivial.
% 9.95/10.14 apply (zenon_L329_); trivial.
% 9.95/10.14 (* end of lemma zenon_L347_ *)
% 9.95/10.14 assert (zenon_L348_ : (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e2)) = (e0)) -> False).
% 9.95/10.14 do 0 intro. intros zenon_H6f zenon_H51 zenon_H101.
% 9.95/10.14 cut (((op (e0) (e2)) = (e0)) = ((op (e0) (e2)) = (op (e1) (e2)))).
% 9.95/10.14 intro zenon_D_pnotp.
% 9.95/10.14 apply zenon_H6f.
% 9.95/10.14 rewrite <- zenon_D_pnotp.
% 9.95/10.14 exact zenon_H51.
% 9.95/10.14 cut (((e0) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1f7].
% 9.95/10.14 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H134].
% 9.95/10.14 congruence.
% 9.95/10.14 apply zenon_H134. apply refl_equal.
% 9.95/10.14 apply zenon_H1f7. apply sym_equal. exact zenon_H101.
% 9.95/10.14 (* end of lemma zenon_L348_ *)
% 9.95/10.14 assert (zenon_L349_ : (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> False).
% 9.95/10.14 do 0 intro. intros zenon_H1f8 zenon_H51 zenon_H6f zenon_H5d zenon_H155 zenon_H3a zenon_Hed zenon_H1e6.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H101 | zenon_intro zenon_H1f9 ].
% 9.95/10.14 apply (zenon_L348_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H100 | zenon_intro zenon_H1fa ].
% 9.95/10.14 apply (zenon_L228_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H6e | zenon_intro zenon_H161 ].
% 9.95/10.14 apply (zenon_L223_); trivial.
% 9.95/10.14 apply (zenon_L282_); trivial.
% 9.95/10.14 (* end of lemma zenon_L349_ *)
% 9.95/10.14 assert (zenon_L350_ : ((op (e2) (e3)) = (e3)) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 9.95/10.14 do 0 intro. intros zenon_H11f zenon_H188 zenon_H17c.
% 9.95/10.14 elim (classic ((op (e2) (e3)) = (op (e2) (e3)))); [ zenon_intro zenon_H17d | zenon_intro zenon_H17e ].
% 9.95/10.14 cut (((op (e2) (e3)) = (op (e2) (e3))) = ((op (e1) (e3)) = (op (e2) (e3)))).
% 9.95/10.14 intro zenon_D_pnotp.
% 9.95/10.14 apply zenon_H17c.
% 9.95/10.14 rewrite <- zenon_D_pnotp.
% 9.95/10.14 exact zenon_H17d.
% 9.95/10.14 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H17e].
% 9.95/10.14 cut (((op (e2) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H17f].
% 9.95/10.14 congruence.
% 9.95/10.14 cut (((op (e2) (e3)) = (e3)) = ((op (e2) (e3)) = (op (e1) (e3)))).
% 9.95/10.14 intro zenon_D_pnotp.
% 9.95/10.14 apply zenon_H17f.
% 9.95/10.14 rewrite <- zenon_D_pnotp.
% 9.95/10.14 exact zenon_H11f.
% 9.95/10.14 cut (((e3) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H189].
% 9.95/10.14 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H17e].
% 9.95/10.14 congruence.
% 9.95/10.14 apply zenon_H17e. apply refl_equal.
% 9.95/10.14 apply zenon_H189. apply sym_equal. exact zenon_H188.
% 9.95/10.14 apply zenon_H17e. apply refl_equal.
% 9.95/10.14 apply zenon_H17e. apply refl_equal.
% 9.95/10.14 (* end of lemma zenon_L350_ *)
% 9.95/10.14 assert (zenon_L351_ : (((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)) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 9.95/10.14 do 0 intro. intros zenon_H12c zenon_H53 zenon_H73 zenon_H4c zenon_H77 zenon_Hc8 zenon_H188 zenon_H17c.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H74 | zenon_intro zenon_H12d ].
% 9.95/10.14 apply (zenon_L20_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H12e ].
% 9.95/10.14 apply (zenon_L48_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hcd | zenon_intro zenon_H11f ].
% 9.95/10.14 exact (zenon_Hc8 zenon_Hcd).
% 9.95/10.14 apply (zenon_L350_); trivial.
% 9.95/10.14 (* end of lemma zenon_L351_ *)
% 9.95/10.14 assert (zenon_L352_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e2) (e2)) = (e3))) -> (~((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 (e2) (e2)) = (e1))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> False).
% 9.95/10.14 do 0 intro. intros zenon_H90 zenon_H5e zenon_H17c zenon_H188 zenon_Hc8 zenon_H4c zenon_H73 zenon_H53 zenon_H12c zenon_H91 zenon_H181 zenon_H62.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H76 | zenon_intro zenon_H92 ].
% 9.95/10.14 apply (zenon_L165_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H77 | zenon_intro zenon_H93 ].
% 9.95/10.14 apply (zenon_L351_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H94 | zenon_intro zenon_H8a ].
% 9.95/10.14 exact (zenon_H91 zenon_H94).
% 9.95/10.14 apply (zenon_L258_); trivial.
% 9.95/10.14 (* end of lemma zenon_L352_ *)
% 9.95/10.14 assert (zenon_L353_ : (((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 (e1) (e2)) = (e1)) -> (~((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) (e3)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e2) (e2)) = (e3))) -> (~((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 (e2) (e2)) = (e1))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 9.95/10.14 do 0 intro. intros zenon_H64 zenon_H56 zenon_H7e zenon_H100 zenon_H1f0 zenon_Hf5 zenon_H198 zenon_H28 zenon_Hda zenon_H1e6 zenon_Hed zenon_H3a zenon_H155 zenon_H6f zenon_H51 zenon_H1f8 zenon_H90 zenon_H5e zenon_H17c zenon_H188 zenon_Hc8 zenon_H4c zenon_H73 zenon_H53 zenon_H12c zenon_H91 zenon_H181.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 9.95/10.14 exact (zenon_H56 zenon_H2c).
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 9.95/10.14 apply (zenon_L347_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 9.95/10.14 apply (zenon_L349_); trivial.
% 9.95/10.14 apply (zenon_L352_); trivial.
% 9.95/10.14 (* end of lemma zenon_L353_ *)
% 9.95/10.14 assert (zenon_L354_ : (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e2) (e3)) = (e2)) -> False).
% 9.95/10.14 do 0 intro. intros zenon_H1fb zenon_H3a zenon_Hd0.
% 9.95/10.14 cut (((op (e2) (e2)) = (e2)) = ((op (e2) (e2)) = (op (e2) (e3)))).
% 9.95/10.14 intro zenon_D_pnotp.
% 9.95/10.14 apply zenon_H1fb.
% 9.95/10.14 rewrite <- zenon_D_pnotp.
% 9.95/10.14 exact zenon_H3a.
% 9.95/10.14 cut (((e2) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hd1].
% 9.95/10.14 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H3e].
% 9.95/10.14 congruence.
% 9.95/10.14 apply zenon_H3e. apply refl_equal.
% 9.95/10.14 apply zenon_Hd1. apply sym_equal. exact zenon_Hd0.
% 9.95/10.14 (* end of lemma zenon_L354_ *)
% 9.95/10.14 assert (zenon_L355_ : (~((op (op (e3) (e3)) (e3)) = (op (e2) (e3)))) -> ((op (e3) (e3)) = (e2)) -> False).
% 9.95/10.14 do 0 intro. intros zenon_H1fc zenon_H85.
% 9.95/10.14 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 9.95/10.14 cut (((op (e3) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H7f].
% 9.95/10.14 congruence.
% 9.95/10.14 exact (zenon_H7f zenon_H85).
% 9.95/10.14 apply zenon_H4e. apply refl_equal.
% 9.95/10.14 (* end of lemma zenon_L355_ *)
% 9.95/10.14 assert (zenon_L356_ : ((op (e0) (e3)) = (e1)) -> ((op (e2) (e3)) = (e0)) -> ((op (e3) (e3)) = (e2)) -> False).
% 9.95/10.14 do 0 intro. intros zenon_H62 zenon_H89 zenon_H85.
% 9.95/10.14 apply (zenon_notand_s _ _ ax20); [ zenon_intro zenon_H1fe | zenon_intro zenon_H1fd ].
% 9.95/10.14 apply zenon_H1fe. apply sym_equal. exact zenon_H85.
% 9.95/10.14 apply (zenon_notand_s _ _ zenon_H1fd); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H120 ].
% 9.95/10.14 elim (classic ((op (op (op (e3) (e3)) (e3)) (e3)) = (op (op (op (e3) (e3)) (e3)) (e3)))); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Ha3 ].
% 9.95/10.14 cut (((op (op (op (e3) (e3)) (e3)) (e3)) = (op (op (op (e3) (e3)) (e3)) (e3))) = ((e1) = (op (op (op (e3) (e3)) (e3)) (e3)))).
% 9.95/10.14 intro zenon_D_pnotp.
% 9.95/10.14 apply zenon_H1d1.
% 9.95/10.14 rewrite <- zenon_D_pnotp.
% 9.95/10.14 exact zenon_Ha2.
% 9.95/10.14 cut (((op (op (op (e3) (e3)) (e3)) (e3)) = (op (op (op (e3) (e3)) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Ha3].
% 9.95/10.14 cut (((op (op (op (e3) (e3)) (e3)) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H1d2].
% 9.95/10.14 congruence.
% 9.95/10.14 cut (((op (e0) (e3)) = (e1)) = ((op (op (op (e3) (e3)) (e3)) (e3)) = (e1))).
% 9.95/10.14 intro zenon_D_pnotp.
% 9.95/10.14 apply zenon_H1d2.
% 9.95/10.14 rewrite <- zenon_D_pnotp.
% 9.95/10.14 exact zenon_H62.
% 9.95/10.14 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 9.95/10.14 cut (((op (e0) (e3)) = (op (op (op (e3) (e3)) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H125].
% 9.95/10.14 congruence.
% 9.95/10.14 elim (classic ((op (op (op (e3) (e3)) (e3)) (e3)) = (op (op (op (e3) (e3)) (e3)) (e3)))); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Ha3 ].
% 9.95/10.14 cut (((op (op (op (e3) (e3)) (e3)) (e3)) = (op (op (op (e3) (e3)) (e3)) (e3))) = ((op (e0) (e3)) = (op (op (op (e3) (e3)) (e3)) (e3)))).
% 9.95/10.14 intro zenon_D_pnotp.
% 9.95/10.14 apply zenon_H125.
% 9.95/10.14 rewrite <- zenon_D_pnotp.
% 9.95/10.14 exact zenon_Ha2.
% 9.95/10.14 cut (((op (op (op (e3) (e3)) (e3)) (e3)) = (op (op (op (e3) (e3)) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Ha3].
% 9.95/10.14 cut (((op (op (op (e3) (e3)) (e3)) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H126].
% 9.95/10.14 congruence.
% 9.95/10.14 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 9.95/10.14 cut (((op (op (e3) (e3)) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H121].
% 9.95/10.14 congruence.
% 9.95/10.14 cut (((op (e2) (e3)) = (e0)) = ((op (op (e3) (e3)) (e3)) = (e0))).
% 9.95/10.14 intro zenon_D_pnotp.
% 9.95/10.14 apply zenon_H121.
% 9.95/10.14 rewrite <- zenon_D_pnotp.
% 9.95/10.14 exact zenon_H89.
% 9.95/10.14 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H41].
% 9.95/10.14 cut (((op (e2) (e3)) = (op (op (e3) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1ff].
% 9.95/10.14 congruence.
% 9.95/10.14 elim (classic ((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Haa ].
% 9.95/10.14 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3))) = ((op (e2) (e3)) = (op (op (e3) (e3)) (e3)))).
% 9.95/10.14 intro zenon_D_pnotp.
% 9.95/10.14 apply zenon_H1ff.
% 9.95/10.14 rewrite <- zenon_D_pnotp.
% 9.95/10.14 exact zenon_Ha9.
% 9.95/10.14 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Haa].
% 9.95/10.14 cut (((op (op (e3) (e3)) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1fc].
% 9.95/10.14 congruence.
% 9.95/10.14 apply (zenon_L355_); trivial.
% 9.95/10.14 apply zenon_Haa. apply refl_equal.
% 9.95/10.14 apply zenon_Haa. apply refl_equal.
% 9.95/10.14 apply zenon_H41. apply refl_equal.
% 9.95/10.14 apply zenon_H4e. apply refl_equal.
% 9.95/10.14 apply zenon_Ha3. apply refl_equal.
% 9.95/10.14 apply zenon_Ha3. apply refl_equal.
% 9.95/10.14 apply zenon_H33. apply refl_equal.
% 9.95/10.14 apply zenon_Ha3. apply refl_equal.
% 9.95/10.14 apply zenon_Ha3. apply refl_equal.
% 9.95/10.14 elim (classic ((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Haa ].
% 9.95/10.14 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3))) = ((e0) = (op (op (e3) (e3)) (e3)))).
% 9.95/10.14 intro zenon_D_pnotp.
% 9.95/10.14 apply zenon_H120.
% 9.95/10.14 rewrite <- zenon_D_pnotp.
% 9.95/10.14 exact zenon_Ha9.
% 9.95/10.14 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Haa].
% 9.95/10.14 cut (((op (op (e3) (e3)) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H121].
% 9.95/10.14 congruence.
% 9.95/10.14 cut (((op (e2) (e3)) = (e0)) = ((op (op (e3) (e3)) (e3)) = (e0))).
% 9.95/10.14 intro zenon_D_pnotp.
% 9.95/10.14 apply zenon_H121.
% 9.95/10.14 rewrite <- zenon_D_pnotp.
% 9.95/10.14 exact zenon_H89.
% 9.95/10.14 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H41].
% 9.95/10.14 cut (((op (e2) (e3)) = (op (op (e3) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1ff].
% 9.95/10.14 congruence.
% 9.95/10.14 elim (classic ((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Haa ].
% 9.95/10.14 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3))) = ((op (e2) (e3)) = (op (op (e3) (e3)) (e3)))).
% 9.95/10.14 intro zenon_D_pnotp.
% 9.95/10.14 apply zenon_H1ff.
% 9.95/10.14 rewrite <- zenon_D_pnotp.
% 9.95/10.14 exact zenon_Ha9.
% 9.95/10.14 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Haa].
% 9.95/10.14 cut (((op (op (e3) (e3)) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1fc].
% 9.95/10.14 congruence.
% 9.95/10.14 apply (zenon_L355_); trivial.
% 9.95/10.14 apply zenon_Haa. apply refl_equal.
% 9.95/10.14 apply zenon_Haa. apply refl_equal.
% 9.95/10.14 apply zenon_H41. apply refl_equal.
% 9.95/10.14 apply zenon_Haa. apply refl_equal.
% 9.95/10.14 apply zenon_Haa. apply refl_equal.
% 9.95/10.14 (* end of lemma zenon_L356_ *)
% 9.95/10.14 assert (zenon_L357_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e2) (e3)) = (e0)) -> False).
% 9.95/10.14 do 0 intro. intros zenon_H128 zenon_H35 zenon_H188 zenon_H95 zenon_H3a zenon_H1fb zenon_H62 zenon_H89.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H47 | zenon_intro zenon_H129 ].
% 9.95/10.14 apply (zenon_L260_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H9b | zenon_intro zenon_H12a ].
% 9.95/10.14 apply (zenon_L313_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H85 ].
% 9.95/10.14 apply (zenon_L354_); trivial.
% 9.95/10.14 apply (zenon_L356_); trivial.
% 9.95/10.14 (* end of lemma zenon_L357_ *)
% 9.95/10.14 assert (zenon_L358_ : (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e2)) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (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 (e1) (e2)) = (e1)) -> (~((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) (e3)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (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) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> False).
% 9.95/10.14 do 0 intro. intros zenon_H187 zenon_Hd3 zenon_H97 zenon_H1fb zenon_H3a zenon_H95 zenon_H188 zenon_H35 zenon_H128 zenon_Hb1 zenon_H191 zenon_He8 zenon_H192 zenon_Hc1 zenon_H64 zenon_H56 zenon_H7e zenon_H100 zenon_H1f0 zenon_Hf5 zenon_H198 zenon_H28 zenon_Hda zenon_H1e6 zenon_H155 zenon_H6f zenon_H51 zenon_H1f8 zenon_H90 zenon_H5e zenon_H17c zenon_Hc8 zenon_H53 zenon_H12c zenon_H91 zenon_H181 zenon_Hb0 zenon_H10b zenon_Hed zenon_H4c.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 9.95/10.14 exact (zenon_H56 zenon_H2c).
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H31 | zenon_intro zenon_H98 ].
% 9.95/10.14 exact (zenon_H28 zenon_H31).
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ].
% 9.95/10.14 apply (zenon_L346_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H52 | zenon_intro zenon_H57 ].
% 9.95/10.14 apply (zenon_L75_); trivial.
% 9.95/10.14 apply (zenon_L167_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 9.95/10.14 apply (zenon_L228_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H31 | zenon_intro zenon_H98 ].
% 9.95/10.14 exact (zenon_H28 zenon_H31).
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ].
% 9.95/10.14 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hb5 ].
% 9.95/10.14 apply (zenon_L353_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H78 | zenon_intro zenon_Hb6 ].
% 9.95/10.14 apply (zenon_L335_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H89 ].
% 9.95/10.14 exact (zenon_Hb1 zenon_Hb7).
% 9.95/10.14 apply (zenon_L357_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H52 | zenon_intro zenon_H57 ].
% 9.95/10.14 apply (zenon_L75_); trivial.
% 9.95/10.14 apply (zenon_L13_); trivial.
% 9.95/10.14 (* end of lemma zenon_L358_ *)
% 9.95/10.14 assert (zenon_L359_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False).
% 9.95/10.14 do 0 intro. intros zenon_H108 zenon_H43 zenon_H1cb zenon_H100 zenon_H5e zenon_Hb1 zenon_H53 zenon_Hed.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H51 | zenon_intro zenon_H109 ].
% 9.95/10.14 apply (zenon_L343_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H101 | zenon_intro zenon_H10a ].
% 9.95/10.14 apply (zenon_L71_); trivial.
% 9.95/10.14 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H106 ].
% 9.95/10.14 exact (zenon_Hb1 zenon_Hb7).
% 9.95/10.14 apply (zenon_L73_); trivial.
% 9.95/10.14 (* end of lemma zenon_L359_ *)
% 9.95/10.14 assert (zenon_L360_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (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) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e1) (e0)) = (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) (e3)) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e3))) -> (~((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) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (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 (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False).
% 9.95/10.15 do 0 intro. intros zenon_H200 zenon_H25 zenon_H3c zenon_Hfd zenon_H144 zenon_H4c zenon_H10b zenon_Hb0 zenon_H181 zenon_H91 zenon_H12c zenon_Hc8 zenon_H17c zenon_H90 zenon_H1f8 zenon_H6f zenon_H155 zenon_H1e6 zenon_Hda zenon_H28 zenon_H198 zenon_Hf5 zenon_H1f0 zenon_H7e zenon_H56 zenon_H64 zenon_Hc1 zenon_H192 zenon_He8 zenon_H191 zenon_H128 zenon_H35 zenon_H188 zenon_H95 zenon_H3a zenon_H1fb zenon_H97 zenon_Hd3 zenon_H187 zenon_H108 zenon_H1cb zenon_H100 zenon_H5e zenon_Hb1 zenon_H53 zenon_Hed.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 9.95/10.15 exact (zenon_H25 zenon_H2a).
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 9.95/10.15 apply (zenon_L345_); trivial.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 9.95/10.15 apply (zenon_L358_); trivial.
% 9.95/10.15 apply (zenon_L359_); trivial.
% 9.95/10.15 (* end of lemma zenon_L360_ *)
% 9.95/10.15 assert (zenon_L361_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (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) (e3)) = (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) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (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 (e2) (e2)) = (e1))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (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)) = (e0))) -> (((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))))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((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) (e0)) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (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) (e0)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (((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)) = (e0))) -> False).
% 9.95/10.15 do 0 intro. intros zenon_Hf8 zenon_H144 zenon_H10b zenon_Hfd zenon_H1fb zenon_H128 zenon_H1f8 zenon_H155 zenon_H181 zenon_Hc8 zenon_H17c zenon_H12c zenon_H187 zenon_H108 zenon_H200 zenon_H1cb zenon_H6f zenon_H56 zenon_H1b4 zenon_H27 zenon_Hc1 zenon_H192 zenon_He8 zenon_H3c zenon_H3a zenon_Hb0 zenon_Hd3 zenon_H91 zenon_H5e zenon_H90 zenon_Hb1 zenon_H53 zenon_H18d zenon_H86 zenon_H7a zenon_H7d zenon_H8d zenon_H8c zenon_H14d zenon_H35 zenon_H95 zenon_H44 zenon_H177 zenon_Hc0 zenon_H42 zenon_H28 zenon_H188 zenon_H4c zenon_Hf5 zenon_H7e zenon_H100 zenon_H1e6 zenon_H1f0 zenon_Hda zenon_H1af zenon_H198 zenon_H191 zenon_H1f zenon_H159 zenon_H1ea zenon_H195 zenon_H1ef zenon_H97 zenon_H64 zenon_H25.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 9.95/10.15 exact (zenon_H25 zenon_H2a).
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 9.95/10.15 exact (zenon_H56 zenon_H2c).
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 9.95/10.15 exact (zenon_H56 zenon_H2c).
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 9.95/10.15 apply (zenon_L326_); trivial.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 9.95/10.15 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdb ].
% 9.95/10.15 exact (zenon_H28 zenon_H31).
% 9.95/10.15 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H6c | zenon_intro zenon_Hdc ].
% 9.95/10.15 apply (zenon_L239_); trivial.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H74 | zenon_intro zenon_Hbc ].
% 9.95/10.15 apply (zenon_L21_); trivial.
% 9.95/10.15 apply (zenon_L329_); trivial.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 9.95/10.15 exact (zenon_H27 zenon_H32).
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 9.95/10.15 apply (zenon_L331_); trivial.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 9.95/10.15 apply (zenon_L5_); trivial.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdb ].
% 9.95/10.15 exact (zenon_H28 zenon_H31).
% 9.95/10.15 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H6c | zenon_intro zenon_Hdc ].
% 9.95/10.15 apply (zenon_L239_); trivial.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H74 | zenon_intro zenon_Hbc ].
% 9.95/10.15 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H4b | zenon_intro zenon_Hc2 ].
% 9.95/10.15 apply (zenon_L336_); trivial.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc3 ].
% 9.95/10.15 exact (zenon_Hc1 zenon_Hc4).
% 9.95/10.15 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hbd ].
% 9.95/10.15 apply (zenon_L339_); trivial.
% 9.95/10.15 apply (zenon_L340_); trivial.
% 9.95/10.15 apply (zenon_L139_); trivial.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 9.95/10.15 apply (zenon_L342_); trivial.
% 9.95/10.15 apply (zenon_L87_); trivial.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 9.95/10.15 apply (zenon_L344_); trivial.
% 9.95/10.15 apply (zenon_L24_); trivial.
% 9.95/10.15 apply (zenon_L252_); trivial.
% 9.95/10.15 apply (zenon_L360_); trivial.
% 9.95/10.15 (* end of lemma zenon_L361_ *)
% 9.95/10.15 assert (zenon_L362_ : (((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)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 9.95/10.15 do 0 intro. intros zenon_H42 zenon_H27 zenon_H44 zenon_H4c zenon_H95 zenon_H68 zenon_H53 zenon_H28 zenon_H97 zenon_H62 zenon_H35.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 9.95/10.15 exact (zenon_H27 zenon_H32).
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 9.95/10.15 apply (zenon_L16_); trivial.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 9.95/10.15 apply (zenon_L33_); trivial.
% 9.95/10.15 apply (zenon_L260_); trivial.
% 9.95/10.15 (* end of lemma zenon_L362_ *)
% 9.95/10.15 assert (zenon_L363_ : (((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 (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e3)) -> (((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 (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)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e2))) -> False).
% 9.95/10.15 do 0 intro. intros zenon_H64 zenon_H56 zenon_H7e zenon_H1e6 zenon_H1f0 zenon_Hbc zenon_Hf5 zenon_H6f zenon_H100 zenon_H42 zenon_H27 zenon_H44 zenon_H4c zenon_H95 zenon_H68 zenon_H53 zenon_H28 zenon_H97 zenon_H35.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 9.95/10.15 exact (zenon_H56 zenon_H2c).
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 9.95/10.15 apply (zenon_L329_); trivial.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 9.95/10.15 apply (zenon_L228_); trivial.
% 9.95/10.15 apply (zenon_L362_); trivial.
% 9.95/10.15 (* end of lemma zenon_L363_ *)
% 9.95/10.15 assert (zenon_L364_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e3)) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e0)) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 9.95/10.15 do 0 intro. intros zenon_Hf5 zenon_Hbc zenon_H4c zenon_He5 zenon_H5e zenon_H100 zenon_H1e6 zenon_H7e.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hf6 ].
% 9.95/10.15 apply (zenon_L139_); trivial.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hf7 ].
% 9.95/10.15 apply (zenon_L206_); trivial.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H83 ].
% 9.95/10.15 apply (zenon_L328_); trivial.
% 9.95/10.15 exact (zenon_H7e zenon_H83).
% 9.95/10.15 (* end of lemma zenon_L364_ *)
% 9.95/10.15 assert (zenon_L365_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e3)) -> (~((e1) = (e3))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 9.95/10.15 do 0 intro. intros zenon_He7 zenon_H51 zenon_Hfd zenon_Hc1 zenon_H4b zenon_H192 zenon_He8 zenon_H191 zenon_Hf5 zenon_Hbc zenon_H4c zenon_H5e zenon_H100 zenon_H1e6 zenon_H7e.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H68 | zenon_intro zenon_He9 ].
% 9.95/10.15 apply (zenon_L69_); trivial.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Heb | zenon_intro zenon_Hea ].
% 9.95/10.15 exact (zenon_He8 zenon_Heb).
% 9.95/10.15 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H78 | zenon_intro zenon_He5 ].
% 9.95/10.15 apply (zenon_L335_); trivial.
% 9.95/10.15 apply (zenon_L364_); trivial.
% 9.95/10.15 (* end of lemma zenon_L365_ *)
% 9.95/10.15 assert (zenon_L366_ : (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e3) (e3)) = (e3))) -> False).
% 9.95/10.15 do 0 intro. intros zenon_H16b zenon_Hd8 zenon_H95 zenon_H114 zenon_Hb9 zenon_H10b zenon_H52 zenon_H80.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Hbc | zenon_intro zenon_H16c ].
% 9.95/10.15 apply (zenon_L51_); trivial.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_Hbd | zenon_intro zenon_H16d ].
% 9.95/10.15 apply (zenon_L80_); trivial.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hed | zenon_intro zenon_H84 ].
% 9.95/10.15 apply (zenon_L75_); trivial.
% 9.95/10.15 exact (zenon_H80 zenon_H84).
% 9.95/10.15 (* end of lemma zenon_L366_ *)
% 9.95/10.15 assert (zenon_L367_ : ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (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).
% 9.95/10.15 do 0 intro. intros zenon_H158 zenon_H135 zenon_H152 zenon_H3c zenon_H51 zenon_H91 zenon_Hc8 zenon_Hc5.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 9.95/10.15 apply (zenon_L129_); trivial.
% 9.95/10.15 apply (zenon_L116_); trivial.
% 9.95/10.15 (* end of lemma zenon_L367_ *)
% 9.95/10.15 assert (zenon_L368_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e1)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 9.95/10.15 do 0 intro. intros zenon_H177 zenon_H80 zenon_H52 zenon_H10b zenon_Hb9 zenon_H114 zenon_H95 zenon_H16b zenon_H35 zenon_Hf2 zenon_Hc5 zenon_Hc8 zenon_H91 zenon_H51 zenon_H3c zenon_H152 zenon_H158 zenon_H7f.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H178 ].
% 9.95/10.15 apply (zenon_L366_); trivial.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H179 ].
% 9.95/10.15 apply (zenon_L63_); trivial.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H135 | zenon_intro zenon_H85 ].
% 9.95/10.15 apply (zenon_L367_); trivial.
% 9.95/10.15 exact (zenon_H7f zenon_H85).
% 9.95/10.15 (* end of lemma zenon_L368_ *)
% 9.95/10.15 assert (zenon_L369_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e1)) = (e2)) -> ((op (e2) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (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))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (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)) = (e1)) -> (~((e1) = (e3))) -> False).
% 9.95/10.15 do 0 intro. intros zenon_Hc0 zenon_Hb4 zenon_H78 zenon_Hc1 zenon_H7f zenon_H158 zenon_H152 zenon_H3c zenon_H51 zenon_H91 zenon_Hc8 zenon_Hc5 zenon_H35 zenon_H16b zenon_H95 zenon_H114 zenon_H10b zenon_H52 zenon_H80 zenon_H177 zenon_Hf2 zenon_H4c.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H4b | zenon_intro zenon_Hc2 ].
% 9.95/10.15 apply (zenon_L334_); trivial.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc3 ].
% 9.95/10.15 exact (zenon_Hc1 zenon_Hc4).
% 9.95/10.15 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hbd ].
% 9.95/10.15 apply (zenon_L368_); trivial.
% 9.95/10.15 apply (zenon_L207_); trivial.
% 9.95/10.15 (* end of lemma zenon_L369_ *)
% 9.95/10.15 assert (zenon_L370_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e3)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((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 (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e1) = (e3))) -> False).
% 9.95/10.15 do 0 intro. intros zenon_H64 zenon_H56 zenon_H97 zenon_H28 zenon_H7e zenon_H1e6 zenon_H100 zenon_H5e zenon_Hbc zenon_Hf5 zenon_H1b1 zenon_H1f0 zenon_Hde zenon_H1f zenon_H192 zenon_He8 zenon_H191 zenon_H177 zenon_H80 zenon_H10b zenon_H114 zenon_H95 zenon_H16b zenon_Hc5 zenon_Hc8 zenon_H91 zenon_H51 zenon_H3c zenon_H152 zenon_H158 zenon_H7f zenon_Hc1 zenon_Hc0 zenon_H44 zenon_H35 zenon_Hfd zenon_He7 zenon_H4c.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 9.95/10.15 exact (zenon_H56 zenon_H2c).
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 9.95/10.15 apply (zenon_L329_); trivial.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 9.95/10.15 apply (zenon_L12_); trivial.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H31 | zenon_intro zenon_H98 ].
% 9.95/10.15 exact (zenon_H28 zenon_H31).
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ].
% 9.95/10.15 apply (zenon_L365_); trivial.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H52 | zenon_intro zenon_H57 ].
% 9.95/10.15 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H68 | zenon_intro zenon_He9 ].
% 9.95/10.15 apply (zenon_L69_); trivial.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Heb | zenon_intro zenon_Hea ].
% 9.95/10.15 exact (zenon_He8 zenon_Heb).
% 9.95/10.15 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H78 | zenon_intro zenon_He5 ].
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1e | zenon_intro zenon_H1b2 ].
% 9.95/10.15 apply (zenon_L329_); trivial.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1d | zenon_intro zenon_H1b3 ].
% 9.95/10.15 exact (zenon_H192 zenon_H1d).
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H77 | zenon_intro zenon_Hf2 ].
% 9.95/10.15 apply (zenon_L22_); trivial.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H34 | zenon_intro zenon_He1 ].
% 9.95/10.15 apply (zenon_L331_); trivial.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_Hb4 | zenon_intro zenon_He2 ].
% 9.95/10.15 apply (zenon_L369_); trivial.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ].
% 9.95/10.15 apply (zenon_L57_); trivial.
% 9.95/10.15 apply (zenon_L63_); trivial.
% 9.95/10.15 apply (zenon_L364_); trivial.
% 9.95/10.15 apply (zenon_L13_); trivial.
% 9.95/10.15 (* end of lemma zenon_L370_ *)
% 9.95/10.15 assert (zenon_L371_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((e0) = (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)))) -> (~((e1) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (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)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (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)) = (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 (e3) (e0)) = (e3)) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((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) (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 (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 9.95/10.15 do 0 intro. intros zenon_H200 zenon_H25 zenon_H53 zenon_H27 zenon_H42 zenon_H6f zenon_H4c zenon_He7 zenon_Hfd zenon_H35 zenon_H44 zenon_Hc0 zenon_Hc1 zenon_H158 zenon_H152 zenon_H3c zenon_H91 zenon_Hc8 zenon_Hc5 zenon_H16b zenon_H95 zenon_H114 zenon_H10b zenon_H177 zenon_H191 zenon_He8 zenon_H192 zenon_H1f zenon_Hde zenon_H1f0 zenon_H1b1 zenon_Hf5 zenon_Hbc zenon_H5e zenon_H100 zenon_H1e6 zenon_H28 zenon_H97 zenon_H56 zenon_H64 zenon_H7d zenon_H7a zenon_H7e zenon_H7f zenon_H80.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 9.95/10.15 exact (zenon_H25 zenon_H2a).
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 9.95/10.15 apply (zenon_L363_); trivial.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 9.95/10.15 apply (zenon_L370_); trivial.
% 9.95/10.15 apply (zenon_L24_); trivial.
% 9.95/10.15 (* end of lemma zenon_L371_ *)
% 9.95/10.15 assert (zenon_L372_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((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))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (((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)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (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 (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (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) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (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) (e0)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e3)) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> False).
% 9.95/10.15 do 0 intro. intros zenon_Hf8 zenon_H144 zenon_H3a zenon_H1fb zenon_H128 zenon_H1f8 zenon_H155 zenon_H181 zenon_H17c zenon_H12c zenon_Hda zenon_Hb1 zenon_H90 zenon_Hd3 zenon_Hb0 zenon_H198 zenon_H187 zenon_H108 zenon_H1cb zenon_H200 zenon_H7a zenon_H7d zenon_H5e zenon_H1b1 zenon_H1f zenon_Hc0 zenon_H16b zenon_H10b zenon_H114 zenon_H158 zenon_H152 zenon_H3c zenon_H91 zenon_Hc8 zenon_Hc5 zenon_H177 zenon_Hde zenon_Hfd zenon_He8 zenon_H191 zenon_Hc1 zenon_H192 zenon_He7 zenon_H56 zenon_Hf5 zenon_H7e zenon_H100 zenon_H1e6 zenon_H1f0 zenon_Hbc zenon_H4c zenon_H6f zenon_H42 zenon_H35 zenon_H28 zenon_H53 zenon_H95 zenon_H97 zenon_H44 zenon_H27 zenon_H64 zenon_H25 zenon_H86 zenon_H188 zenon_H18d.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 9.95/10.15 apply (zenon_L371_); trivial.
% 9.95/10.15 apply (zenon_L252_); trivial.
% 9.95/10.15 apply (zenon_L360_); trivial.
% 9.95/10.15 (* end of lemma zenon_L372_ *)
% 9.95/10.15 assert (zenon_L373_ : (~((e1) = (e3))) -> ((op (e1) (e3)) = (e3)) -> ((op (e1) (e3)) = (e1)) -> False).
% 9.95/10.15 do 0 intro. intros zenon_H4c zenon_H188 zenon_H9a.
% 9.95/10.15 cut (((op (e1) (e3)) = (e3)) = ((e1) = (e3))).
% 9.95/10.15 intro zenon_D_pnotp.
% 9.95/10.15 apply zenon_H4c.
% 9.95/10.15 rewrite <- zenon_D_pnotp.
% 9.95/10.15 exact zenon_H188.
% 9.95/10.15 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 9.95/10.15 cut (((op (e1) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H203].
% 9.95/10.15 congruence.
% 9.95/10.15 exact (zenon_H203 zenon_H9a).
% 9.95/10.15 apply zenon_H4e. apply refl_equal.
% 9.95/10.15 (* end of lemma zenon_L373_ *)
% 9.95/10.15 assert (zenon_L374_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e2)) = (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 (e3) (e3)) = (e1))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e3)) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> False).
% 9.95/10.15 do 0 intro. intros zenon_Hf8 zenon_H1cb zenon_H5e zenon_H100 zenon_Hb1 zenon_H53 zenon_H108 zenon_H7d zenon_H7e zenon_H43 zenon_H7a zenon_H86 zenon_H188 zenon_H18d.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 9.95/10.15 apply (zenon_L337_); trivial.
% 9.95/10.15 apply (zenon_L359_); trivial.
% 9.95/10.15 (* end of lemma zenon_L374_ *)
% 9.95/10.15 assert (zenon_L375_ : ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e1))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e3) (e3)) = (e1))) -> (((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))) -> (~((e0) = (e1))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> False).
% 9.95/10.15 do 0 intro. intros zenon_H168 zenon_Hae zenon_H95 zenon_H155 zenon_H35 zenon_H159 zenon_H191 zenon_H188 zenon_H11d zenon_H192 zenon_H156 zenon_H3a zenon_Hc6 zenon_H18d zenon_H86 zenon_H7a zenon_H43 zenon_H7e zenon_H7d zenon_H108 zenon_H53 zenon_H5e zenon_H1cb zenon_Hf8 zenon_H1ea.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 9.95/10.15 apply (zenon_L297_); trivial.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 9.95/10.15 apply (zenon_L374_); trivial.
% 9.95/10.15 apply (zenon_L321_); trivial.
% 9.95/10.15 apply (zenon_L314_); trivial.
% 9.95/10.15 (* end of lemma zenon_L375_ *)
% 9.95/10.15 assert (zenon_L376_ : ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (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) (e2)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (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)) = (e1))) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (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))))) -> False).
% 9.95/10.15 do 0 intro. intros zenon_H18d zenon_H56 zenon_Hda zenon_H1f0 zenon_H1e6 zenon_H100 zenon_Hf5 zenon_H53 zenon_H90 zenon_H1cb zenon_H51 zenon_H7d zenon_H7f zenon_H7e zenon_H86 zenon_H8d zenon_H8c zenon_H91 zenon_H5e zenon_H4c zenon_Hb1 zenon_Hd3 zenon_Hb0 zenon_H188 zenon_H198 zenon_H28 zenon_H6f zenon_H7a zenon_H64.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 9.95/10.15 apply (zenon_L344_); trivial.
% 9.95/10.15 apply (zenon_L252_); trivial.
% 9.95/10.15 (* end of lemma zenon_L376_ *)
% 9.95/10.15 assert (zenon_L377_ : ((~((op (e3) (e3)) = (e2)))\/((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 (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (~((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) (e0)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (~((e1) = (e3))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e0))) -> (~((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 (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> False).
% 9.95/10.15 do 0 intro. intros zenon_Hf8 zenon_H97 zenon_H187 zenon_H10b zenon_He8 zenon_H192 zenon_Hc1 zenon_H191 zenon_H12c zenon_H17c zenon_Hc8 zenon_H181 zenon_H155 zenon_H3a zenon_H1f8 zenon_H128 zenon_H1fb zenon_H95 zenon_H35 zenon_H64 zenon_H7a zenon_H6f zenon_H28 zenon_H198 zenon_H188 zenon_Hb0 zenon_Hd3 zenon_Hb1 zenon_H4c zenon_H5e zenon_H91 zenon_H8c zenon_H8d zenon_H86 zenon_H7e zenon_H7d zenon_H51 zenon_H1cb zenon_H90 zenon_H53 zenon_Hf5 zenon_H100 zenon_H1e6 zenon_H1f0 zenon_Hda zenon_H56 zenon_H18d.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 9.95/10.15 apply (zenon_L376_); trivial.
% 9.95/10.15 apply (zenon_L358_); trivial.
% 9.95/10.15 (* end of lemma zenon_L377_ *)
% 9.95/10.15 assert (zenon_L378_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((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)) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (~((op (e2) (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)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (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)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> False).
% 9.95/10.15 do 0 intro. intros zenon_Hf8 zenon_H1dd zenon_H64 zenon_H28 zenon_He7 zenon_H192 zenon_Hc1 zenon_H191 zenon_He8 zenon_Hfd zenon_Hde zenon_H44 zenon_H177 zenon_Hc5 zenon_Hc8 zenon_H91 zenon_H3c zenon_H152 zenon_H158 zenon_H35 zenon_H95 zenon_H114 zenon_H10b zenon_H16b zenon_Hc0 zenon_H1f zenon_H1b1 zenon_H97 zenon_H51 zenon_H5e zenon_H4c zenon_Hbc zenon_H1f0 zenon_H1e6 zenon_H100 zenon_H7e zenon_Hf5 zenon_H56 zenon_He3 zenon_H18d.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 9.95/10.15 apply (zenon_L370_); trivial.
% 9.95/10.15 apply (zenon_L266_); trivial.
% 9.95/10.15 apply (zenon_L267_); trivial.
% 9.95/10.15 (* end of lemma zenon_L378_ *)
% 9.95/10.15 assert (zenon_L379_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (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)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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)) = (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) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (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) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((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))))) -> (~((op (e0) (e3)) = (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) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (e1))) -> (((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)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (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)) = (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))))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((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))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (((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) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (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) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 9.95/10.15 do 0 intro. intros zenon_H173 zenon_H103 zenon_Hec zenon_H1b7 zenon_Hdd zenon_Hce zenon_H58 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H1e2 zenon_H18a zenon_H112 zenon_Hab zenon_H67 zenon_H1dd zenon_He3 zenon_H168 zenon_Hae zenon_H191 zenon_H11d zenon_H192 zenon_Hd2 zenon_Hf8 zenon_H144 zenon_H10b zenon_Hfd zenon_H1fb zenon_H128 zenon_H1f8 zenon_H155 zenon_H181 zenon_H17c zenon_H12c zenon_H187 zenon_H108 zenon_H200 zenon_H1cb zenon_H6f zenon_H56 zenon_H1b4 zenon_H3c zenon_Hb0 zenon_Hd3 zenon_H91 zenon_H5e zenon_H90 zenon_H53 zenon_H18d zenon_H7a zenon_H7d zenon_H8c zenon_H14d zenon_H35 zenon_H95 zenon_H44 zenon_H177 zenon_Hc0 zenon_H42 zenon_H4c zenon_Hf5 zenon_H7e zenon_H1e6 zenon_H1f0 zenon_Hda zenon_H1af zenon_H198 zenon_H1f zenon_H159 zenon_H1ea zenon_H195 zenon_H1ef zenon_H97 zenon_H64 zenon_H1b1 zenon_H16b zenon_H114 zenon_H158 zenon_H152 zenon_Hc5 zenon_Hde zenon_He7 zenon_H150 zenon_Hc6 zenon_H156 zenon_H4a zenon_H132 zenon_H145 zenon_H12f zenon_H204 zenon_H188 zenon_H86.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 9.95/10.15 apply (zenon_L322_); trivial.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 9.95/10.15 exact (zenon_H192 zenon_H1d).
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 9.95/10.15 apply (zenon_L297_); trivial.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 9.95/10.15 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 9.95/10.15 apply (zenon_L361_); trivial.
% 9.95/10.15 apply (zenon_L372_); trivial.
% 9.95/10.15 apply (zenon_L354_); trivial.
% 9.95/10.15 apply (zenon_L321_); trivial.
% 9.95/10.15 apply (zenon_L373_); trivial.
% 9.95/10.15 apply (zenon_L314_); trivial.
% 9.95/10.15 apply (zenon_L375_); trivial.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 9.95/10.15 apply (zenon_L297_); trivial.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 9.95/10.15 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 9.95/10.15 apply (zenon_L377_); trivial.
% 9.95/10.15 apply (zenon_L378_); trivial.
% 9.95/10.15 apply (zenon_L354_); trivial.
% 9.95/10.15 apply (zenon_L321_); trivial.
% 9.95/10.15 apply (zenon_L373_); trivial.
% 9.95/10.15 apply (zenon_L314_); trivial.
% 9.95/10.15 apply (zenon_L375_); trivial.
% 9.95/10.15 apply (zenon_L315_); trivial.
% 9.95/10.15 apply (zenon_L252_); trivial.
% 9.95/10.15 (* end of lemma zenon_L379_ *)
% 9.95/10.15 assert (zenon_L380_ : (((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 (e3) (e2)) = (e3)) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (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)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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)) = (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) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (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) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((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))))) -> (~((op (e0) (e3)) = (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) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (e1))) -> (((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)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (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)) = (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))))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((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))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (((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) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (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) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 9.95/10.15 do 0 intro. intros zenon_H1de zenon_H15a zenon_Hc1 zenon_Hed zenon_H173 zenon_H103 zenon_Hec zenon_H1b7 zenon_Hdd zenon_Hce zenon_H58 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H1e2 zenon_H18a zenon_H112 zenon_Hab zenon_H67 zenon_H1dd zenon_He3 zenon_H168 zenon_Hae zenon_H191 zenon_H11d zenon_H192 zenon_Hd2 zenon_Hf8 zenon_H144 zenon_H10b zenon_Hfd zenon_H1fb zenon_H128 zenon_H1f8 zenon_H155 zenon_H181 zenon_H17c zenon_H12c zenon_H187 zenon_H108 zenon_H200 zenon_H1cb zenon_H6f zenon_H56 zenon_H1b4 zenon_H3c zenon_Hb0 zenon_Hd3 zenon_H91 zenon_H5e zenon_H90 zenon_H53 zenon_H18d zenon_H7a zenon_H7d zenon_H8c zenon_H14d zenon_H35 zenon_H95 zenon_H44 zenon_H177 zenon_Hc0 zenon_H42 zenon_H4c zenon_Hf5 zenon_H7e zenon_H1e6 zenon_H1f0 zenon_Hda zenon_H1af zenon_H198 zenon_H1f zenon_H159 zenon_H1ea zenon_H195 zenon_H1ef zenon_H97 zenon_H64 zenon_H1b1 zenon_H16b zenon_H114 zenon_H158 zenon_H152 zenon_Hc5 zenon_Hde zenon_He7 zenon_H150 zenon_Hc6 zenon_H156 zenon_H4a zenon_H132 zenon_H145 zenon_H12f zenon_H204 zenon_H86.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H6c | zenon_intro zenon_H1df ].
% 9.95/10.15 apply (zenon_L236_); trivial.
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H1e0 ].
% 9.95/10.15 exact (zenon_Hc1 zenon_Hc4).
% 9.95/10.15 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H161 | zenon_intro zenon_H188 ].
% 9.95/10.15 apply (zenon_L282_); trivial.
% 9.95/10.15 apply (zenon_L379_); trivial.
% 9.95/10.15 (* end of lemma zenon_L380_ *)
% 9.95/10.15 assert (zenon_L381_ : ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((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 (e2) (e0)) = (e2)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (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 (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e0)) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> False).
% 9.95/10.16 do 0 intro. intros zenon_H18d zenon_He3 zenon_H56 zenon_H42 zenon_H1bc zenon_H15a zenon_Hd3 zenon_H91 zenon_H8c zenon_H5e zenon_H86 zenon_H7a zenon_H7e zenon_H7f zenon_H7d zenon_H90 zenon_H6e zenon_H6f zenon_H35 zenon_H27 zenon_H1b1 zenon_Haf zenon_H112 zenon_Hcf zenon_Hde zenon_H1e2 zenon_H181 zenon_Hc7 zenon_Hc8 zenon_Hab zenon_H198 zenon_H12c zenon_H192 zenon_H28 zenon_H95 zenon_H4c zenon_H1de zenon_H187 zenon_Hc1 zenon_Hbc zenon_H16f zenon_H97 zenon_H1cb zenon_H159 zenon_Hec zenon_H103 zenon_H1c0 zenon_H128 zenon_H53 zenon_H2a zenon_H58 zenon_H64.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 9.95/10.16 exact (zenon_H56 zenon_H2c).
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 9.95/10.16 apply (zenon_L257_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 9.95/10.16 exact (zenon_H27 zenon_H32).
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H31 | zenon_intro zenon_H98 ].
% 9.95/10.16 exact (zenon_H28 zenon_H31).
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ].
% 9.95/10.16 apply (zenon_L184_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H52 | zenon_intro zenon_H57 ].
% 9.95/10.16 apply (zenon_L130_); trivial.
% 9.95/10.16 apply (zenon_L289_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 9.95/10.16 apply (zenon_L70_); trivial.
% 9.95/10.16 apply (zenon_L294_); trivial.
% 9.95/10.16 apply (zenon_L265_); trivial.
% 9.95/10.16 apply (zenon_L266_); trivial.
% 9.95/10.16 (* end of lemma zenon_L381_ *)
% 9.95/10.16 assert (zenon_L382_ : (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (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 (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 (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 (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((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) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (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 (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((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)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((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)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (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 (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)) = (op (e2) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e1) (e1)) = (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)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (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))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> False).
% 9.95/10.16 do 0 intro. intros zenon_He3 zenon_Hec zenon_H12c zenon_H1dd zenon_H1de zenon_H3c zenon_Hda zenon_H128 zenon_H8c zenon_Hb0 zenon_H97 zenon_H1e2 zenon_H18a zenon_H10b zenon_H1e6 zenon_H112 zenon_Hde zenon_Hab zenon_H16f zenon_H67 zenon_Hc6 zenon_H168 zenon_Hae zenon_H11d zenon_H144 zenon_H4a zenon_H204 zenon_H152 zenon_H114 zenon_H1ef zenon_H195 zenon_H1f zenon_H1f0 zenon_Hf5 zenon_H177 zenon_H200 zenon_H1f8 zenon_H1fb zenon_Hfd zenon_H173 zenon_H18d zenon_H1b7 zenon_H7a zenon_H58 zenon_H56 zenon_H198 zenon_H6f zenon_H159 zenon_H6e zenon_H35 zenon_H1b1 zenon_H16b zenon_H14d zenon_H157 zenon_H64 zenon_H187 zenon_H95 zenon_H4c zenon_H42 zenon_H181 zenon_H53 zenon_He7 zenon_Hc0 zenon_H44 zenon_Hd3 zenon_Hd2 zenon_H1af zenon_Hdd zenon_Hce zenon_H1b4 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H150 zenon_H12f zenon_H2a zenon_Hc5 zenon_H91 zenon_H155 zenon_H5e zenon_H145 zenon_H158 zenon_H192 zenon_H191 zenon_Hf8 zenon_H108 zenon_H1cb zenon_H103 zenon_H132 zenon_H86 zenon_H7e zenon_H7d zenon_H17c zenon_H90 zenon_H156 zenon_H16e zenon_H1ea.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 9.95/10.16 apply (zenon_L190_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 9.95/10.16 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 9.95/10.16 apply (zenon_L193_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 9.95/10.16 apply (zenon_L212_); trivial.
% 9.95/10.16 apply (zenon_L215_); trivial.
% 9.95/10.16 apply (zenon_L222_); trivial.
% 9.95/10.16 apply (zenon_L223_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 9.95/10.16 apply (zenon_L224_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 9.95/10.16 apply (zenon_L233_); trivial.
% 9.95/10.16 apply (zenon_L235_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 9.95/10.16 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 9.95/10.16 apply (zenon_L269_); trivial.
% 9.95/10.16 apply (zenon_L288_); trivial.
% 9.95/10.16 apply (zenon_L223_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 9.95/10.16 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 9.95/10.16 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 9.95/10.16 apply (zenon_L295_); trivial.
% 9.95/10.16 apply (zenon_L296_); trivial.
% 9.95/10.16 apply (zenon_L380_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 9.95/10.16 apply (zenon_L381_); trivial.
% 9.95/10.16 apply (zenon_L267_); trivial.
% 9.95/10.16 apply (zenon_L44_); trivial.
% 9.95/10.16 apply (zenon_L321_); trivial.
% 9.95/10.16 apply (zenon_L194_); trivial.
% 9.95/10.16 apply (zenon_L123_); trivial.
% 9.95/10.16 apply (zenon_L213_); trivial.
% 9.95/10.16 apply (zenon_L101_); trivial.
% 9.95/10.16 (* end of lemma zenon_L382_ *)
% 9.95/10.16 assert (zenon_L383_ : (((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)) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e2)) -> False).
% 9.95/10.16 do 0 intro. intros zenon_Hda zenon_H28 zenon_H53 zenon_H69 zenon_H4c zenon_H76 zenon_H95 zenon_Hd8.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdb ].
% 9.95/10.16 exact (zenon_H28 zenon_H31).
% 9.95/10.16 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H6c | zenon_intro zenon_Hdc ].
% 9.95/10.16 apply (zenon_L18_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H74 | zenon_intro zenon_Hbc ].
% 9.95/10.16 apply (zenon_L21_); trivial.
% 9.95/10.16 apply (zenon_L51_); trivial.
% 9.95/10.16 (* end of lemma zenon_L383_ *)
% 9.95/10.16 assert (zenon_L384_ : (((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)) -> (~((e1) = (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)) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> False).
% 9.95/10.16 do 0 intro. intros zenon_Hdd zenon_H27 zenon_H159 zenon_H6e zenon_H35 zenon_Hda zenon_H28 zenon_H53 zenon_H69 zenon_H4c zenon_H76 zenon_H95.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hdf ].
% 9.95/10.16 exact (zenon_H27 zenon_H32).
% 9.95/10.16 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H6a | zenon_intro zenon_He0 ].
% 9.95/10.16 apply (zenon_L195_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd8 ].
% 9.95/10.16 apply (zenon_L47_); trivial.
% 9.95/10.16 apply (zenon_L383_); trivial.
% 9.95/10.16 (* end of lemma zenon_L384_ *)
% 9.95/10.16 assert (zenon_L385_ : (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e3)) -> ((op (e3) (e3)) = (e3)) -> False).
% 9.95/10.16 do 0 intro. intros zenon_H205 zenon_H11f zenon_H84.
% 9.95/10.16 cut (((op (e2) (e3)) = (e3)) = ((op (e2) (e3)) = (op (e3) (e3)))).
% 9.95/10.16 intro zenon_D_pnotp.
% 9.95/10.16 apply zenon_H205.
% 9.95/10.16 rewrite <- zenon_D_pnotp.
% 9.95/10.16 exact zenon_H11f.
% 9.95/10.16 cut (((e3) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H206].
% 9.95/10.16 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H17e].
% 9.95/10.16 congruence.
% 9.95/10.16 apply zenon_H17e. apply refl_equal.
% 9.95/10.16 apply zenon_H206. apply sym_equal. exact zenon_H84.
% 9.95/10.16 (* end of lemma zenon_L385_ *)
% 9.95/10.16 assert (zenon_L386_ : (((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)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> False).
% 9.95/10.16 do 0 intro. intros zenon_H12c zenon_H95 zenon_Hcf zenon_H4c zenon_H77 zenon_Hc8 zenon_H205 zenon_H84.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H74 | zenon_intro zenon_H12d ].
% 9.95/10.16 apply (zenon_L155_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H12e ].
% 9.95/10.16 apply (zenon_L48_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hcd | zenon_intro zenon_H11f ].
% 9.95/10.16 exact (zenon_Hc8 zenon_Hcd).
% 9.95/10.16 apply (zenon_L385_); trivial.
% 9.95/10.16 (* end of lemma zenon_L386_ *)
% 9.95/10.16 assert (zenon_L387_ : ((op (e3) (e1)) = (e1)) -> ((op (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False).
% 9.95/10.16 do 0 intro. intros zenon_Hf2 zenon_Hf0 zenon_Hbb.
% 9.95/10.16 elim (classic ((op (e3) (e1)) = (op (e3) (e1)))); [ zenon_intro zenon_H115 | zenon_intro zenon_Hef ].
% 9.95/10.16 cut (((op (e3) (e1)) = (op (e3) (e1))) = ((op (e3) (e0)) = (op (e3) (e1)))).
% 9.95/10.16 intro zenon_D_pnotp.
% 9.95/10.16 apply zenon_Hbb.
% 9.95/10.16 rewrite <- zenon_D_pnotp.
% 9.95/10.16 exact zenon_H115.
% 9.95/10.16 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hef].
% 9.95/10.16 cut (((op (e3) (e1)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H207].
% 9.95/10.16 congruence.
% 9.95/10.16 cut (((op (e3) (e1)) = (e1)) = ((op (e3) (e1)) = (op (e3) (e0)))).
% 9.95/10.16 intro zenon_D_pnotp.
% 9.95/10.16 apply zenon_H207.
% 9.95/10.16 rewrite <- zenon_D_pnotp.
% 9.95/10.16 exact zenon_Hf2.
% 9.95/10.16 cut (((e1) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H208].
% 9.95/10.16 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hef].
% 9.95/10.16 congruence.
% 9.95/10.16 apply zenon_Hef. apply refl_equal.
% 9.95/10.16 apply zenon_H208. apply sym_equal. exact zenon_Hf0.
% 9.95/10.16 apply zenon_Hef. apply refl_equal.
% 9.95/10.16 apply zenon_Hef. apply refl_equal.
% 9.95/10.16 (* end of lemma zenon_L387_ *)
% 9.95/10.16 assert (zenon_L388_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((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 (e3) (e0)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False).
% 9.95/10.16 do 0 intro. intros zenon_H1b1 zenon_H9a zenon_H17c zenon_H91 zenon_Hd3 zenon_H35 zenon_H90 zenon_H192 zenon_H84 zenon_H205 zenon_Hc8 zenon_H4c zenon_Hcf zenon_H95 zenon_H12c zenon_Hf0 zenon_Hbb.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1e | zenon_intro zenon_H1b2 ].
% 9.95/10.16 apply (zenon_L234_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1d | zenon_intro zenon_H1b3 ].
% 9.95/10.16 exact (zenon_H192 zenon_H1d).
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H77 | zenon_intro zenon_Hf2 ].
% 9.95/10.16 apply (zenon_L386_); trivial.
% 9.95/10.16 apply (zenon_L387_); trivial.
% 9.95/10.16 (* end of lemma zenon_L388_ *)
% 9.95/10.16 assert (zenon_L389_ : (((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) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e1)) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> False).
% 9.95/10.16 do 0 intro. intros zenon_Hdd zenon_H27 zenon_H159 zenon_H6e zenon_Hbb zenon_H12c zenon_H95 zenon_H4c zenon_Hc8 zenon_H205 zenon_H84 zenon_H192 zenon_H90 zenon_Hd3 zenon_H91 zenon_H17c zenon_H9a zenon_H1b1 zenon_Hf0 zenon_H35.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hdf ].
% 9.95/10.16 exact (zenon_H27 zenon_H32).
% 9.95/10.16 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H6a | zenon_intro zenon_He0 ].
% 9.95/10.16 apply (zenon_L195_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd8 ].
% 9.95/10.16 apply (zenon_L388_); trivial.
% 9.95/10.16 apply (zenon_L211_); trivial.
% 9.95/10.16 (* end of lemma zenon_L389_ *)
% 9.95/10.16 assert (zenon_L390_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (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)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False).
% 9.95/10.16 do 0 intro. intros zenon_H1b4 zenon_H56 zenon_H1af zenon_H198 zenon_H191 zenon_H68 zenon_H1f zenon_H1ea zenon_H195 zenon_H1ef zenon_H44 zenon_H35 zenon_H6e zenon_H159 zenon_H27 zenon_Hdd zenon_He4 zenon_H5e.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 9.95/10.16 exact (zenon_H56 zenon_H2c).
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 9.95/10.16 apply (zenon_L326_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 9.95/10.16 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hdf ].
% 9.95/10.16 exact (zenon_H27 zenon_H32).
% 9.95/10.16 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H6a | zenon_intro zenon_He0 ].
% 9.95/10.16 apply (zenon_L195_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd8 ].
% 9.95/10.16 apply (zenon_L47_); trivial.
% 9.95/10.16 apply (zenon_L99_); trivial.
% 9.95/10.16 apply (zenon_L62_); trivial.
% 9.95/10.16 (* end of lemma zenon_L390_ *)
% 9.95/10.16 assert (zenon_L391_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((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)) = (e3))) -> (~((e0) = (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)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (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)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e1))) -> False).
% 9.95/10.16 do 0 intro. intros zenon_H18e zenon_H25 zenon_H1b1 zenon_H9a zenon_H17c zenon_Hd3 zenon_H90 zenon_H192 zenon_H205 zenon_Hc8 zenon_H4c zenon_H12c zenon_Hbb zenon_Hda zenon_Hc5 zenon_Hc7 zenon_H91 zenon_Hc6 zenon_H42 zenon_H181 zenon_H28 zenon_H53 zenon_H95 zenon_H7a zenon_H84 zenon_H97 zenon_Hd2 zenon_H1b4 zenon_H56 zenon_H1af zenon_H198 zenon_H191 zenon_H68 zenon_H1f zenon_H1ea zenon_H195 zenon_H1ef zenon_H44 zenon_H35 zenon_H6e zenon_H159 zenon_H27 zenon_Hdd zenon_H5e.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 9.95/10.16 exact (zenon_H25 zenon_H2a).
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 9.95/10.16 exact (zenon_H56 zenon_H2c).
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 9.95/10.16 apply (zenon_L194_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 9.95/10.16 apply (zenon_L384_); trivial.
% 9.95/10.16 apply (zenon_L389_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 9.95/10.16 apply (zenon_L172_); trivial.
% 9.95/10.16 apply (zenon_L390_); trivial.
% 9.95/10.16 (* end of lemma zenon_L391_ *)
% 9.95/10.16 assert (zenon_L392_ : (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (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).
% 9.95/10.16 do 0 intro. intros zenon_H18a zenon_H8a zenon_H17c zenon_H47 zenon_H187 zenon_H18d zenon_H86 zenon_H7a zenon_H43 zenon_H7e zenon_H7f zenon_H7d.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H87 | zenon_intro zenon_H18b ].
% 9.95/10.16 apply (zenon_L276_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H9a | zenon_intro zenon_H18c ].
% 9.95/10.16 apply (zenon_L166_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H9b | zenon_intro zenon_H188 ].
% 9.95/10.16 apply (zenon_L243_); trivial.
% 9.95/10.16 apply (zenon_L337_); trivial.
% 9.95/10.16 (* end of lemma zenon_L392_ *)
% 9.95/10.16 assert (zenon_L393_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((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)) = (e1))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (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).
% 9.95/10.16 do 0 intro. intros zenon_H90 zenon_H1bc zenon_H4c zenon_H198 zenon_H15a zenon_H35 zenon_Hab zenon_Hc8 zenon_H1e2 zenon_H95 zenon_Hc7 zenon_H181 zenon_H12c zenon_H91 zenon_H18a zenon_H17c zenon_H47 zenon_H187 zenon_H18d zenon_H86 zenon_H7a zenon_H43 zenon_H7e zenon_H7f zenon_H7d.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H76 | zenon_intro zenon_H92 ].
% 9.95/10.16 apply (zenon_L217_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H77 | zenon_intro zenon_H93 ].
% 9.95/10.16 apply (zenon_L292_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H94 | zenon_intro zenon_H8a ].
% 9.95/10.16 exact (zenon_H91 zenon_H94).
% 9.95/10.16 apply (zenon_L392_); trivial.
% 9.95/10.16 (* end of lemma zenon_L393_ *)
% 9.95/10.16 assert (zenon_L394_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((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)) = (e1))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (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).
% 9.95/10.16 do 0 intro. intros zenon_H42 zenon_H27 zenon_H1e zenon_H6f zenon_H6e zenon_H90 zenon_H1bc zenon_H4c zenon_H198 zenon_H15a zenon_H35 zenon_Hab zenon_Hc8 zenon_H1e2 zenon_H95 zenon_Hc7 zenon_H181 zenon_H12c zenon_H91 zenon_H18a zenon_H17c zenon_H187 zenon_H18d zenon_H86 zenon_H7a zenon_H43 zenon_H7e zenon_H7f zenon_H7d.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 9.95/10.16 exact (zenon_H27 zenon_H32).
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 9.95/10.16 apply (zenon_L4_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 9.95/10.16 apply (zenon_L19_); trivial.
% 9.95/10.16 apply (zenon_L393_); trivial.
% 9.95/10.16 (* end of lemma zenon_L394_ *)
% 9.95/10.16 assert (zenon_L395_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e2) (e0)) = (e1)) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e2)) = (e3))) -> (~((e0) = (e3))) -> False).
% 9.95/10.16 do 0 intro. intros zenon_Hb0 zenon_H76 zenon_H44 zenon_Hb1 zenon_H12c zenon_H5e zenon_H91 zenon_H1e zenon_Hd3 zenon_H4c zenon_H90 zenon_H95 zenon_Hb8 zenon_Hc8 zenon_H53.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hb5 ].
% 9.95/10.16 apply (zenon_L165_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H78 | zenon_intro zenon_Hb6 ].
% 9.95/10.16 apply (zenon_L57_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H89 ].
% 9.95/10.16 exact (zenon_Hb1 zenon_Hb7).
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H74 | zenon_intro zenon_H12d ].
% 9.95/10.16 apply (zenon_L250_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H12e ].
% 9.95/10.16 apply (zenon_L40_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hcd | zenon_intro zenon_H11f ].
% 9.95/10.16 exact (zenon_Hc8 zenon_Hcd).
% 9.95/10.16 apply (zenon_L96_); trivial.
% 9.95/10.16 (* end of lemma zenon_L395_ *)
% 9.95/10.16 assert (zenon_L396_ : (((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 (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((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 (e3) (e0)) = (op (e3) (e1)))) -> False).
% 9.95/10.16 do 0 intro. intros zenon_H1b4 zenon_H56 zenon_H198 zenon_H1b1 zenon_H9a zenon_H17c zenon_H91 zenon_Hd3 zenon_H35 zenon_H90 zenon_H192 zenon_H84 zenon_H205 zenon_Hc8 zenon_H4c zenon_Hcf zenon_H95 zenon_H12c zenon_Hbb.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 9.95/10.16 exact (zenon_H56 zenon_H2c).
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 9.95/10.16 apply (zenon_L194_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 9.95/10.16 apply (zenon_L47_); trivial.
% 9.95/10.16 apply (zenon_L388_); trivial.
% 9.95/10.16 (* end of lemma zenon_L396_ *)
% 9.95/10.16 assert (zenon_L397_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (~((e1) = (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 (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((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))))) -> False).
% 9.95/10.16 do 0 intro. intros zenon_Hd2 zenon_Hce zenon_H56 zenon_H198 zenon_H9a zenon_H35 zenon_Hcf zenon_H1b1 zenon_Hbb zenon_H95 zenon_H4c zenon_H205 zenon_H84 zenon_H12c zenon_H192 zenon_Hd3 zenon_H91 zenon_H17c zenon_H90 zenon_H1b4.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 9.95/10.16 apply (zenon_L396_); trivial.
% 9.95/10.16 apply (zenon_L44_); trivial.
% 9.95/10.16 (* end of lemma zenon_L397_ *)
% 9.95/10.16 assert (zenon_L398_ : (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e2)) -> ((op (e3) (e1)) = (e2)) -> False).
% 9.95/10.16 do 0 intro. intros zenon_H114 zenon_Hb8 zenon_Hd6.
% 9.95/10.16 cut (((op (e2) (e1)) = (e2)) = ((op (e2) (e1)) = (op (e3) (e1)))).
% 9.95/10.16 intro zenon_D_pnotp.
% 9.95/10.16 apply zenon_H114.
% 9.95/10.16 rewrite <- zenon_D_pnotp.
% 9.95/10.16 exact zenon_Hb8.
% 9.95/10.16 cut (((e2) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H209].
% 9.95/10.16 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H185].
% 9.95/10.16 congruence.
% 9.95/10.16 apply zenon_H185. apply refl_equal.
% 9.95/10.16 apply zenon_H209. apply sym_equal. exact zenon_Hd6.
% 9.95/10.16 (* end of lemma zenon_L398_ *)
% 9.95/10.16 assert (zenon_L399_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e0)) -> ((op (e0) (e1)) = (e2)) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e1)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 9.95/10.16 do 0 intro. intros zenon_Hc0 zenon_H95 zenon_He5 zenon_H34 zenon_H4c zenon_H77 zenon_H84 zenon_H17a.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H4b | zenon_intro zenon_Hc2 ].
% 9.95/10.16 apply (zenon_L184_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc3 ].
% 9.95/10.16 apply (zenon_L199_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hbd ].
% 9.95/10.16 apply (zenon_L48_); trivial.
% 9.95/10.16 apply (zenon_L161_); trivial.
% 9.95/10.16 (* end of lemma zenon_L399_ *)
% 9.95/10.16 assert (zenon_L400_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e1))) -> (((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) (e1)) = (e1)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 9.95/10.16 do 0 intro. intros zenon_He7 zenon_H44 zenon_He8 zenon_H5e zenon_Hc0 zenon_H95 zenon_H34 zenon_H4c zenon_H77 zenon_H84 zenon_H17a.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H68 | zenon_intro zenon_He9 ].
% 9.95/10.16 apply (zenon_L16_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Heb | zenon_intro zenon_Hea ].
% 9.95/10.16 exact (zenon_He8 zenon_Heb).
% 9.95/10.16 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H78 | zenon_intro zenon_He5 ].
% 9.95/10.16 apply (zenon_L22_); trivial.
% 9.95/10.16 apply (zenon_L399_); trivial.
% 9.95/10.16 (* end of lemma zenon_L400_ *)
% 9.95/10.16 assert (zenon_L401_ : (((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)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 9.95/10.16 do 0 intro. intros zenon_H90 zenon_Hcf zenon_H35 zenon_H17a zenon_H84 zenon_H4c zenon_H34 zenon_H95 zenon_Hc0 zenon_H5e zenon_He8 zenon_H44 zenon_He7 zenon_H91 zenon_H17c zenon_H9a.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H76 | zenon_intro zenon_H92 ].
% 9.95/10.16 apply (zenon_L47_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H77 | zenon_intro zenon_H93 ].
% 9.95/10.16 apply (zenon_L400_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H94 | zenon_intro zenon_H8a ].
% 9.95/10.16 exact (zenon_H91 zenon_H94).
% 9.95/10.16 apply (zenon_L166_); trivial.
% 9.95/10.16 (* end of lemma zenon_L401_ *)
% 9.95/10.16 assert (zenon_L402_ : (((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 (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e1))) -> (((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 (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> False).
% 9.95/10.16 do 0 intro. intros zenon_Hdd zenon_H27 zenon_H159 zenon_H6e zenon_H9a zenon_H17c zenon_H91 zenon_He7 zenon_He8 zenon_H5e zenon_Hc0 zenon_H95 zenon_H34 zenon_H4c zenon_H84 zenon_H17a zenon_H35 zenon_H90 zenon_He4 zenon_H44.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hdf ].
% 9.95/10.16 exact (zenon_H27 zenon_H32).
% 9.95/10.16 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H6a | zenon_intro zenon_He0 ].
% 9.95/10.16 apply (zenon_L195_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd8 ].
% 9.95/10.16 apply (zenon_L401_); trivial.
% 9.95/10.16 apply (zenon_L99_); trivial.
% 9.95/10.16 (* end of lemma zenon_L402_ *)
% 9.95/10.16 assert (zenon_L403_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((e1) = (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 (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 9.95/10.16 do 0 intro. intros zenon_H42 zenon_H44 zenon_He4 zenon_H90 zenon_H35 zenon_H17a zenon_H84 zenon_H4c zenon_H95 zenon_Hc0 zenon_H5e zenon_He8 zenon_He7 zenon_H91 zenon_H17c zenon_H9a zenon_H159 zenon_H27 zenon_Hdd zenon_H6f zenon_H6e zenon_Hd0 zenon_H181.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 9.95/10.16 exact (zenon_H27 zenon_H32).
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 9.95/10.16 apply (zenon_L402_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 9.95/10.16 apply (zenon_L19_); trivial.
% 9.95/10.16 apply (zenon_L163_); trivial.
% 9.95/10.16 (* end of lemma zenon_L403_ *)
% 9.95/10.16 assert (zenon_L404_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e2)) -> ((op (e3) (e1)) = (e0)) -> False).
% 9.95/10.16 do 0 intro. intros zenon_H191 zenon_He8 zenon_H192 zenon_H1f zenon_H34 zenon_He5.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_Heb | zenon_intro zenon_H193 ].
% 9.95/10.16 exact (zenon_He8 zenon_Heb).
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H1d | zenon_intro zenon_H194 ].
% 9.95/10.16 exact (zenon_H192 zenon_H1d).
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hc4 ].
% 9.95/10.16 apply (zenon_L330_); trivial.
% 9.95/10.16 apply (zenon_L199_); trivial.
% 9.95/10.16 (* end of lemma zenon_L404_ *)
% 9.95/10.16 assert (zenon_L405_ : (~((op (op (e2) (e2)) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e3)) -> False).
% 9.95/10.16 do 0 intro. intros zenon_H20a zenon_Hcd.
% 9.95/10.16 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 9.95/10.16 cut (((op (e2) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hc8].
% 9.95/10.16 congruence.
% 9.95/10.16 exact (zenon_Hc8 zenon_Hcd).
% 9.95/10.16 apply zenon_H37. apply refl_equal.
% 9.95/10.16 (* end of lemma zenon_L405_ *)
% 9.95/10.16 assert (zenon_L406_ : ((op (e3) (e2)) = (e0)) -> ((op (e2) (e2)) = (e3)) -> (~((e0) = (op (op (e2) (e2)) (e2)))) -> False).
% 9.95/10.16 do 0 intro. intros zenon_H106 zenon_Hcd zenon_H137.
% 9.95/10.16 elim (classic ((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [ zenon_intro zenon_H138 | zenon_intro zenon_H139 ].
% 9.95/10.16 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2))) = ((e0) = (op (op (e2) (e2)) (e2)))).
% 9.95/10.16 intro zenon_D_pnotp.
% 9.95/10.16 apply zenon_H137.
% 9.95/10.16 rewrite <- zenon_D_pnotp.
% 9.95/10.16 exact zenon_H138.
% 9.95/10.16 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H139].
% 9.95/10.16 cut (((op (op (e2) (e2)) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H13a].
% 9.95/10.16 congruence.
% 9.95/10.16 cut (((op (e3) (e2)) = (e0)) = ((op (op (e2) (e2)) (e2)) = (e0))).
% 9.95/10.16 intro zenon_D_pnotp.
% 9.95/10.16 apply zenon_H13a.
% 9.95/10.16 rewrite <- zenon_D_pnotp.
% 9.95/10.16 exact zenon_H106.
% 9.95/10.16 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H41].
% 9.95/10.16 cut (((op (e3) (e2)) = (op (op (e2) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H20b].
% 9.95/10.16 congruence.
% 9.95/10.16 elim (classic ((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [ zenon_intro zenon_H138 | zenon_intro zenon_H139 ].
% 9.95/10.16 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2))) = ((op (e3) (e2)) = (op (op (e2) (e2)) (e2)))).
% 9.95/10.16 intro zenon_D_pnotp.
% 9.95/10.16 apply zenon_H20b.
% 9.95/10.16 rewrite <- zenon_D_pnotp.
% 9.95/10.16 exact zenon_H138.
% 9.95/10.16 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H139].
% 9.95/10.16 cut (((op (op (e2) (e2)) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H20a].
% 9.95/10.16 congruence.
% 9.95/10.16 apply (zenon_L405_); trivial.
% 9.95/10.16 apply zenon_H139. apply refl_equal.
% 9.95/10.16 apply zenon_H139. apply refl_equal.
% 9.95/10.16 apply zenon_H41. apply refl_equal.
% 9.95/10.16 apply zenon_H139. apply refl_equal.
% 9.95/10.16 apply zenon_H139. apply refl_equal.
% 9.95/10.16 (* end of lemma zenon_L406_ *)
% 9.95/10.16 assert (zenon_L407_ : ((op (e0) (e2)) = (e1)) -> ((op (e3) (e2)) = (e0)) -> ((op (e2) (e2)) = (e3)) -> False).
% 9.95/10.16 do 0 intro. intros zenon_H5d zenon_H106 zenon_Hcd.
% 9.95/10.16 apply (zenon_notand_s _ _ ax26); [ zenon_intro zenon_H20d | zenon_intro zenon_H20c ].
% 9.95/10.16 apply zenon_H20d. apply sym_equal. exact zenon_Hcd.
% 9.95/10.16 apply (zenon_notand_s _ _ zenon_H20c); [ zenon_intro zenon_H20e | zenon_intro zenon_H137 ].
% 9.95/10.16 elim (classic ((op (op (op (e2) (e2)) (e2)) (e2)) = (op (op (op (e2) (e2)) (e2)) (e2)))); [ zenon_intro zenon_H13e | zenon_intro zenon_H13f ].
% 9.95/10.16 cut (((op (op (op (e2) (e2)) (e2)) (e2)) = (op (op (op (e2) (e2)) (e2)) (e2))) = ((e1) = (op (op (op (e2) (e2)) (e2)) (e2)))).
% 9.95/10.16 intro zenon_D_pnotp.
% 9.95/10.16 apply zenon_H20e.
% 9.95/10.16 rewrite <- zenon_D_pnotp.
% 9.95/10.16 exact zenon_H13e.
% 9.95/10.16 cut (((op (op (op (e2) (e2)) (e2)) (e2)) = (op (op (op (e2) (e2)) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H13f].
% 9.95/10.16 cut (((op (op (op (e2) (e2)) (e2)) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H20f].
% 9.95/10.16 congruence.
% 9.95/10.16 cut (((op (e0) (e2)) = (e1)) = ((op (op (op (e2) (e2)) (e2)) (e2)) = (e1))).
% 9.95/10.16 intro zenon_D_pnotp.
% 9.95/10.16 apply zenon_H20f.
% 9.95/10.16 rewrite <- zenon_D_pnotp.
% 9.95/10.16 exact zenon_H5d.
% 9.95/10.16 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 9.95/10.16 cut (((op (e0) (e2)) = (op (op (op (e2) (e2)) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H141].
% 9.95/10.16 congruence.
% 9.95/10.16 elim (classic ((op (op (op (e2) (e2)) (e2)) (e2)) = (op (op (op (e2) (e2)) (e2)) (e2)))); [ zenon_intro zenon_H13e | zenon_intro zenon_H13f ].
% 9.95/10.16 cut (((op (op (op (e2) (e2)) (e2)) (e2)) = (op (op (op (e2) (e2)) (e2)) (e2))) = ((op (e0) (e2)) = (op (op (op (e2) (e2)) (e2)) (e2)))).
% 9.95/10.16 intro zenon_D_pnotp.
% 9.95/10.16 apply zenon_H141.
% 9.95/10.16 rewrite <- zenon_D_pnotp.
% 9.95/10.16 exact zenon_H13e.
% 9.95/10.16 cut (((op (op (op (e2) (e2)) (e2)) (e2)) = (op (op (op (e2) (e2)) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H13f].
% 9.95/10.16 cut (((op (op (op (e2) (e2)) (e2)) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H142].
% 9.95/10.16 congruence.
% 9.95/10.16 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 9.95/10.16 cut (((op (op (e2) (e2)) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H13a].
% 9.95/10.16 congruence.
% 9.95/10.16 cut (((op (e3) (e2)) = (e0)) = ((op (op (e2) (e2)) (e2)) = (e0))).
% 9.95/10.16 intro zenon_D_pnotp.
% 9.95/10.16 apply zenon_H13a.
% 9.95/10.16 rewrite <- zenon_D_pnotp.
% 9.95/10.16 exact zenon_H106.
% 9.95/10.16 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H41].
% 9.95/10.16 cut (((op (e3) (e2)) = (op (op (e2) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H20b].
% 9.95/10.16 congruence.
% 9.95/10.16 elim (classic ((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [ zenon_intro zenon_H138 | zenon_intro zenon_H139 ].
% 9.95/10.16 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2))) = ((op (e3) (e2)) = (op (op (e2) (e2)) (e2)))).
% 9.95/10.16 intro zenon_D_pnotp.
% 9.95/10.16 apply zenon_H20b.
% 9.95/10.16 rewrite <- zenon_D_pnotp.
% 9.95/10.16 exact zenon_H138.
% 9.95/10.16 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H139].
% 9.95/10.16 cut (((op (op (e2) (e2)) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H20a].
% 9.95/10.16 congruence.
% 9.95/10.16 apply (zenon_L405_); trivial.
% 9.95/10.16 apply zenon_H139. apply refl_equal.
% 9.95/10.16 apply zenon_H139. apply refl_equal.
% 9.95/10.16 apply zenon_H41. apply refl_equal.
% 9.95/10.16 apply zenon_H37. apply refl_equal.
% 9.95/10.16 apply zenon_H13f. apply refl_equal.
% 9.95/10.16 apply zenon_H13f. apply refl_equal.
% 9.95/10.16 apply zenon_H33. apply refl_equal.
% 9.95/10.16 apply zenon_H13f. apply refl_equal.
% 9.95/10.16 apply zenon_H13f. apply refl_equal.
% 9.95/10.16 apply (zenon_L406_); trivial.
% 9.95/10.16 (* end of lemma zenon_L407_ *)
% 9.95/10.16 assert (zenon_L408_ : (((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)) = (e2)) -> ((op (e1) (e2)) = (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)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e0) (e1)) = (e2)) -> (~((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 (e3) (e2)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 9.95/10.16 do 0 intro. intros zenon_H14d zenon_H181 zenon_Hd0 zenon_H6e zenon_H6f zenon_Hdd zenon_H27 zenon_H159 zenon_H9a zenon_H17c zenon_H91 zenon_He7 zenon_H5e zenon_Hc0 zenon_H95 zenon_H4c zenon_H84 zenon_H17a zenon_H35 zenon_H90 zenon_H44 zenon_H42 zenon_H34 zenon_H1f zenon_H192 zenon_He8 zenon_H191 zenon_Hed zenon_H53 zenon_H8d.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_He4 | zenon_intro zenon_H14e ].
% 9.95/10.16 apply (zenon_L403_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_He5 | zenon_intro zenon_H14f ].
% 9.95/10.16 apply (zenon_L404_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H106 | zenon_intro zenon_H7b ].
% 9.95/10.16 apply (zenon_L73_); trivial.
% 9.95/10.16 exact (zenon_H8d zenon_H7b).
% 9.95/10.16 (* end of lemma zenon_L408_ *)
% 9.95/10.16 assert (zenon_L409_ : (~((op (e3) (e3)) = (e0))) -> (~((e0) = (e3))) -> ((op (e3) (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 (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (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) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 9.95/10.16 do 0 intro. intros zenon_H8d zenon_H53 zenon_Hed zenon_H191 zenon_He8 zenon_H192 zenon_H1f zenon_H42 zenon_H44 zenon_H90 zenon_H35 zenon_H17a zenon_H84 zenon_H4c zenon_H95 zenon_Hc0 zenon_H5e zenon_He7 zenon_H91 zenon_H17c zenon_H9a zenon_H159 zenon_H27 zenon_Hdd zenon_H14d zenon_H6f zenon_H6e zenon_Hd0 zenon_H181.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 9.95/10.16 exact (zenon_H27 zenon_H32).
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 9.95/10.16 apply (zenon_L408_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 9.95/10.16 apply (zenon_L19_); trivial.
% 9.95/10.16 apply (zenon_L163_); trivial.
% 9.95/10.16 (* end of lemma zenon_L409_ *)
% 9.95/10.16 assert (zenon_L410_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e1)) -> ((op (e0) (e1)) = (e2)) -> (~((op (e3) (e3)) = (e0))) -> (~((e0) = (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 (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (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) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 9.95/10.16 do 0 intro. intros zenon_H165 zenon_H5d zenon_H34 zenon_H8d zenon_H53 zenon_H191 zenon_He8 zenon_H192 zenon_H1f zenon_H42 zenon_H44 zenon_H90 zenon_H35 zenon_H17a zenon_H84 zenon_H4c zenon_H95 zenon_Hc0 zenon_H5e zenon_He7 zenon_H91 zenon_H17c zenon_H9a zenon_H159 zenon_H27 zenon_Hdd zenon_H14d zenon_H6f zenon_H6e zenon_Hd0 zenon_H181.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H52 | zenon_intro zenon_H166 ].
% 9.95/10.16 apply (zenon_L130_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H161 | zenon_intro zenon_H167 ].
% 9.95/10.16 apply (zenon_L237_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hed ].
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_He4 | zenon_intro zenon_H14e ].
% 9.95/10.16 apply (zenon_L403_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_He5 | zenon_intro zenon_H14f ].
% 9.95/10.16 apply (zenon_L404_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H106 | zenon_intro zenon_H7b ].
% 9.95/10.16 apply (zenon_L407_); trivial.
% 9.95/10.16 exact (zenon_H8d zenon_H7b).
% 9.95/10.16 apply (zenon_L409_); trivial.
% 9.95/10.16 (* end of lemma zenon_L410_ *)
% 9.95/10.16 assert (zenon_L411_ : (((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 (e0) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 9.95/10.16 do 0 intro. intros zenon_H18a zenon_H43 zenon_H187 zenon_H62 zenon_H17c zenon_Hd0 zenon_H84 zenon_H86.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H87 | zenon_intro zenon_H18b ].
% 9.95/10.16 apply (zenon_L276_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H9a | zenon_intro zenon_H18c ].
% 9.95/10.16 apply (zenon_L202_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H9b | zenon_intro zenon_H188 ].
% 9.95/10.16 apply (zenon_L162_); trivial.
% 9.95/10.16 apply (zenon_L252_); trivial.
% 9.95/10.16 (* end of lemma zenon_L411_ *)
% 9.95/10.16 assert (zenon_L412_ : ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (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 (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (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))))) -> (((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 (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))) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (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 (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> False).
% 9.95/10.16 do 0 intro. intros zenon_H150 zenon_He3 zenon_H56 zenon_H42 zenon_Hd0 zenon_H181 zenon_H6e zenon_H6f zenon_H35 zenon_H27 zenon_H4c zenon_H95 zenon_H14d zenon_H192 zenon_H1f zenon_H191 zenon_Hdd zenon_He7 zenon_H17a zenon_H84 zenon_Hc0 zenon_H5e zenon_He8 zenon_H44 zenon_H91 zenon_H17c zenon_H9a zenon_H90 zenon_H159 zenon_H53 zenon_H165 zenon_H18a zenon_H86 zenon_H43 zenon_H187 zenon_H64.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 9.95/10.16 exact (zenon_H56 zenon_H2c).
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 9.95/10.16 apply (zenon_L227_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 9.95/10.16 exact (zenon_H27 zenon_H32).
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 9.95/10.16 apply (zenon_L410_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 9.95/10.16 apply (zenon_L70_); trivial.
% 9.95/10.16 apply (zenon_L163_); trivial.
% 9.95/10.16 apply (zenon_L411_); trivial.
% 9.95/10.16 apply (zenon_L266_); trivial.
% 9.95/10.16 (* end of lemma zenon_L412_ *)
% 9.95/10.16 assert (zenon_L413_ : (((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 (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e1))) -> (((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 (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> False).
% 9.95/10.16 do 0 intro. intros zenon_Hdd zenon_H27 zenon_H159 zenon_H6e zenon_H9a zenon_H17c zenon_H91 zenon_He7 zenon_H44 zenon_He8 zenon_H5e zenon_Hc0 zenon_H95 zenon_H34 zenon_H4c zenon_H84 zenon_H17a zenon_H90 zenon_Hf0 zenon_H35.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hdf ].
% 9.95/10.16 exact (zenon_H27 zenon_H32).
% 9.95/10.16 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H6a | zenon_intro zenon_He0 ].
% 9.95/10.16 apply (zenon_L195_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd8 ].
% 9.95/10.16 apply (zenon_L401_); trivial.
% 9.95/10.16 apply (zenon_L211_); trivial.
% 9.95/10.16 (* end of lemma zenon_L413_ *)
% 9.95/10.16 assert (zenon_L414_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e2) (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 (e0) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (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).
% 9.95/10.16 do 0 intro. intros zenon_H90 zenon_Hcf zenon_H35 zenon_Hd3 zenon_H1e zenon_H91 zenon_H18a zenon_H17c zenon_H47 zenon_H187 zenon_H18d zenon_H86 zenon_H7a zenon_H43 zenon_H7e zenon_H7f zenon_H7d.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H76 | zenon_intro zenon_H92 ].
% 9.95/10.16 apply (zenon_L47_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H77 | zenon_intro zenon_H93 ].
% 9.95/10.16 apply (zenon_L196_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H94 | zenon_intro zenon_H8a ].
% 9.95/10.16 exact (zenon_H91 zenon_H94).
% 9.95/10.16 apply (zenon_L392_); trivial.
% 9.95/10.16 (* end of lemma zenon_L414_ *)
% 9.95/10.16 assert (zenon_L415_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((e1) = (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))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (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 (e2) (e2)) = (e1))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> False).
% 9.95/10.16 do 0 intro. intros zenon_H42 zenon_H17a zenon_H84 zenon_H4c zenon_H95 zenon_Hc0 zenon_H5e zenon_He8 zenon_H44 zenon_He7 zenon_H9a zenon_H6f zenon_Hdd zenon_H27 zenon_H159 zenon_H6e zenon_H7d zenon_H7f zenon_H7e zenon_H43 zenon_H7a zenon_H86 zenon_H18d zenon_H187 zenon_H17c zenon_H18a zenon_H91 zenon_H1e zenon_Hd3 zenon_H90 zenon_Hf0 zenon_H35.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 9.95/10.16 exact (zenon_H27 zenon_H32).
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 9.95/10.16 apply (zenon_L413_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 9.95/10.16 apply (zenon_L19_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hdf ].
% 9.95/10.16 exact (zenon_H27 zenon_H32).
% 9.95/10.16 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H6a | zenon_intro zenon_He0 ].
% 9.95/10.16 apply (zenon_L195_); trivial.
% 9.95/10.16 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd8 ].
% 9.95/10.16 apply (zenon_L414_); trivial.
% 9.95/10.16 apply (zenon_L211_); trivial.
% 9.95/10.16 (* end of lemma zenon_L415_ *)
% 9.95/10.16 assert (zenon_L416_ : (~((e1) = (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) (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 (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (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))))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (((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) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (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 (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (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) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 9.95/10.17 do 0 intro. intros zenon_H35 zenon_H90 zenon_Hd3 zenon_H91 zenon_H18a zenon_H17c zenon_H18d zenon_H86 zenon_H7a zenon_H43 zenon_H7e zenon_H7f zenon_H7d zenon_H6e zenon_H159 zenon_H27 zenon_Hdd zenon_H6f zenon_He7 zenon_H44 zenon_He8 zenon_H5e zenon_Hc0 zenon_H95 zenon_H4c zenon_H84 zenon_H17a zenon_H42 zenon_Hde zenon_Haf zenon_Hb0 zenon_H1e2 zenon_H1b4 zenon_H12c zenon_H205 zenon_Hbb zenon_H1b1 zenon_H198 zenon_Hce zenon_Hd2 zenon_H114 zenon_H150 zenon_He3 zenon_H56 zenon_H181 zenon_H14d zenon_H192 zenon_H1f zenon_H191 zenon_H53 zenon_H165 zenon_H64 zenon_H1bc zenon_Hab zenon_Hc8 zenon_Hc7 zenon_H3c zenon_Hb1 zenon_Hc5 zenon_H9a zenon_H187.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 9.95/10.17 exact (zenon_H56 zenon_H2c).
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 9.95/10.17 exact (zenon_H56 zenon_H2c).
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 9.95/10.17 apply (zenon_L394_); trivial.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 9.95/10.17 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H34 | zenon_intro zenon_He1 ].
% 9.95/10.17 apply (zenon_L4_); trivial.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_Hb4 | zenon_intro zenon_He2 ].
% 9.95/10.17 exact (zenon_Haf zenon_Hb4).
% 9.95/10.17 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ].
% 9.95/10.17 apply (zenon_L395_); trivial.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_Hcf | zenon_intro zenon_H1e3 ].
% 9.95/10.17 apply (zenon_L397_); trivial.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H1e4 ].
% 9.95/10.17 apply (zenon_L398_); trivial.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd0 ].
% 9.95/10.17 exact (zenon_Hc7 zenon_H3a).
% 9.95/10.17 apply (zenon_L412_); trivial.
% 9.95/10.17 apply (zenon_L415_); trivial.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 9.95/10.17 apply (zenon_L103_); trivial.
% 9.95/10.17 apply (zenon_L202_); trivial.
% 9.95/10.17 (* end of lemma zenon_L416_ *)
% 9.95/10.17 assert (zenon_L417_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((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 (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e2)))\/((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 (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((e0) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (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))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (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 (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 (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (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) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (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) (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) (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 (e2) (e2)) = (e0))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 9.95/10.17 do 0 intro. intros zenon_Hf8 zenon_H155 zenon_H108 zenon_H25 zenon_H18e zenon_H1ef zenon_H195 zenon_H1ea zenon_H1f zenon_H191 zenon_H1af zenon_H5e zenon_Hc5 zenon_Hc7 zenon_Hc6 zenon_H42 zenon_H181 zenon_H7a zenon_H97 zenon_H44 zenon_Hd2 zenon_H56 zenon_H198 zenon_H9a zenon_Hdd zenon_H28 zenon_H53 zenon_H4c zenon_H95 zenon_Hda zenon_H35 zenon_H6e zenon_H159 zenon_H27 zenon_H90 zenon_H17c zenon_H91 zenon_Hd3 zenon_H192 zenon_H12c zenon_H84 zenon_H205 zenon_Hc8 zenon_Hbb zenon_H1b1 zenon_H1b4 zenon_H3c zenon_H1bc zenon_H7e zenon_Hab zenon_H1e2 zenon_H18a zenon_H7d zenon_H86 zenon_H18d zenon_H187 zenon_H6f zenon_Hde zenon_Hce zenon_H114 zenon_H150 zenon_He3 zenon_H14d zenon_He7 zenon_H17a zenon_Hc0 zenon_He8 zenon_H165 zenon_H64 zenon_Hb1 zenon_Hb0 zenon_Haf zenon_H200.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 9.95/10.17 exact (zenon_H25 zenon_H2a).
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 9.95/10.17 apply (zenon_L391_); trivial.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 9.95/10.17 apply (zenon_L129_); trivial.
% 9.95/10.17 apply (zenon_L416_); trivial.
% 9.95/10.17 apply (zenon_L254_); trivial.
% 9.95/10.17 (* end of lemma zenon_L417_ *)
% 9.95/10.17 assert (zenon_L418_ : (((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 (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).
% 9.95/10.17 do 0 intro. intros zenon_H1b7 zenon_H51 zenon_H1cb zenon_H187 zenon_H9a zenon_H181 zenon_Hd0 zenon_H84 zenon_H7a.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H43 | zenon_intro zenon_H1b8 ].
% 9.95/10.17 apply (zenon_L343_); trivial.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b9 ].
% 9.95/10.17 apply (zenon_L202_); trivial.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H47 | zenon_intro zenon_H57 ].
% 9.95/10.17 apply (zenon_L163_); trivial.
% 9.95/10.17 apply (zenon_L68_); trivial.
% 9.95/10.17 (* end of lemma zenon_L418_ *)
% 9.95/10.17 assert (zenon_L419_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e3)) = (op (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 (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (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 (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (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))))) -> (((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 (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))) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (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 (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> False).
% 9.95/10.17 do 0 intro. intros zenon_H200 zenon_H25 zenon_H97 zenon_H28 zenon_H7a zenon_H1cb zenon_H1b7 zenon_H150 zenon_He3 zenon_H56 zenon_H42 zenon_Hd0 zenon_H181 zenon_H6e zenon_H6f zenon_H35 zenon_H27 zenon_H4c zenon_H95 zenon_H14d zenon_H192 zenon_H1f zenon_H191 zenon_Hdd zenon_He7 zenon_H17a zenon_H84 zenon_Hc0 zenon_H5e zenon_He8 zenon_H44 zenon_H91 zenon_H17c zenon_H9a zenon_H90 zenon_H159 zenon_H53 zenon_H165 zenon_H18a zenon_H86 zenon_H187 zenon_H64.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 9.95/10.17 exact (zenon_H25 zenon_H2a).
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 9.95/10.17 apply (zenon_L171_); trivial.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 9.95/10.17 apply (zenon_L418_); trivial.
% 9.95/10.17 apply (zenon_L412_); trivial.
% 9.95/10.17 (* end of lemma zenon_L419_ *)
% 9.95/10.17 assert (zenon_L420_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e2)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 9.95/10.17 do 0 intro. intros zenon_Hf5 zenon_H35 zenon_Hd8 zenon_H1f0 zenon_H1e zenon_H100 zenon_H1e6 zenon_H7e.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hf6 ].
% 9.95/10.17 apply (zenon_L211_); trivial.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hf7 ].
% 9.95/10.17 apply (zenon_L327_); trivial.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H83 ].
% 9.95/10.17 apply (zenon_L328_); trivial.
% 9.95/10.17 exact (zenon_H7e zenon_H83).
% 9.95/10.17 (* end of lemma zenon_L420_ *)
% 9.95/10.17 assert (zenon_L421_ : (((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)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 9.95/10.17 do 0 intro. intros zenon_Hdd zenon_H27 zenon_H159 zenon_H6e zenon_H76 zenon_Hf5 zenon_H35 zenon_H1f0 zenon_H1e zenon_H100 zenon_H1e6 zenon_H7e.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hdf ].
% 9.95/10.17 exact (zenon_H27 zenon_H32).
% 9.95/10.17 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H6a | zenon_intro zenon_He0 ].
% 9.95/10.17 apply (zenon_L195_); trivial.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd8 ].
% 9.95/10.17 apply (zenon_L47_); trivial.
% 9.95/10.17 apply (zenon_L420_); trivial.
% 9.95/10.17 (* end of lemma zenon_L421_ *)
% 9.95/10.17 assert (zenon_L422_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> (~((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 (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e1)) -> (~((e2) = (e3))) -> False).
% 9.95/10.17 do 0 intro. intros zenon_H42 zenon_H27 zenon_H44 zenon_H7a zenon_H84 zenon_H97 zenon_H28 zenon_H53 zenon_H68 zenon_H4c zenon_H5d zenon_H95.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 9.95/10.17 exact (zenon_H27 zenon_H32).
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 9.95/10.17 apply (zenon_L16_); trivial.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 9.95/10.17 apply (zenon_L170_); trivial.
% 9.95/10.17 apply (zenon_L341_); trivial.
% 9.95/10.17 (* end of lemma zenon_L422_ *)
% 9.95/10.17 assert (zenon_L423_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e0)) = (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) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e2)))\/((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 (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> (~((e1) = (e3))) -> (~((e2) = (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))))) -> (~((e1) = (e2))) -> False).
% 9.95/10.17 do 0 intro. intros zenon_H64 zenon_H1b1 zenon_H9a zenon_H17c zenon_H91 zenon_Hd3 zenon_H90 zenon_H192 zenon_H205 zenon_Hc8 zenon_H12c zenon_Hbb zenon_H6e zenon_H159 zenon_Hdd zenon_Hf5 zenon_H1f0 zenon_H100 zenon_H1e6 zenon_H7e zenon_H1ef zenon_H195 zenon_H1ea zenon_H1f zenon_H191 zenon_H198 zenon_H1af zenon_H56 zenon_H1b4 zenon_H84 zenon_H7a zenon_H42 zenon_H27 zenon_H44 zenon_H4c zenon_H95 zenon_H68 zenon_H53 zenon_H28 zenon_H97 zenon_H35.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 9.95/10.17 exact (zenon_H56 zenon_H2c).
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 9.95/10.17 exact (zenon_H56 zenon_H2c).
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 9.95/10.17 apply (zenon_L326_); trivial.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 9.95/10.17 apply (zenon_L421_); trivial.
% 9.95/10.17 apply (zenon_L389_); trivial.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 9.95/10.17 apply (zenon_L422_); trivial.
% 9.95/10.17 apply (zenon_L362_); trivial.
% 9.95/10.17 (* end of lemma zenon_L423_ *)
% 9.95/10.17 assert (zenon_L424_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> False).
% 9.95/10.17 do 0 intro. intros zenon_Hd2 zenon_H1cb zenon_H187 zenon_H9a zenon_H181 zenon_H7a zenon_H84 zenon_H1b7 zenon_H3c zenon_H51 zenon_H91 zenon_Hc7 zenon_Hc5.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 9.95/10.17 apply (zenon_L129_); trivial.
% 9.95/10.17 apply (zenon_L418_); trivial.
% 9.95/10.17 (* end of lemma zenon_L424_ *)
% 9.95/10.17 assert (zenon_L425_ : ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((op (e1) (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) (e2)) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> False).
% 9.95/10.17 do 0 intro. intros zenon_H158 zenon_H6e zenon_H155 zenon_Hc5 zenon_H91 zenon_H51 zenon_H3c zenon_H1b7 zenon_H84 zenon_H7a zenon_H181 zenon_H9a zenon_H187 zenon_H1cb zenon_Hd2.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 9.95/10.17 apply (zenon_L424_); trivial.
% 9.95/10.17 apply (zenon_L223_); trivial.
% 9.95/10.17 (* end of lemma zenon_L425_ *)
% 9.95/10.17 assert (zenon_L426_ : (((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)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 9.95/10.17 do 0 intro. intros zenon_H18a zenon_H43 zenon_H187 zenon_H15a zenon_H198 zenon_H17c zenon_Hd0 zenon_H84 zenon_H86.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H87 | zenon_intro zenon_H18b ].
% 9.95/10.17 apply (zenon_L276_); trivial.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H9a | zenon_intro zenon_H18c ].
% 9.95/10.17 apply (zenon_L194_); trivial.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H9b | zenon_intro zenon_H188 ].
% 9.95/10.17 apply (zenon_L162_); trivial.
% 9.95/10.17 apply (zenon_L252_); trivial.
% 9.95/10.17 (* end of lemma zenon_L426_ *)
% 9.95/10.17 assert (zenon_L427_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e3) (e3)) = (e0))) -> False).
% 9.95/10.17 do 0 intro. intros zenon_H8c zenon_H86 zenon_H17c zenon_H198 zenon_H15a zenon_H18a zenon_H7a zenon_H84 zenon_Hd0 zenon_H181 zenon_H187 zenon_H1b7 zenon_H5e zenon_H8a zenon_H8d.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H43 | zenon_intro zenon_H8e ].
% 9.95/10.17 apply (zenon_L426_); trivial.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H87 | zenon_intro zenon_H8f ].
% 9.95/10.17 apply (zenon_L277_); trivial.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H7b ].
% 9.95/10.17 apply (zenon_L27_); trivial.
% 9.95/10.17 exact (zenon_H8d zenon_H7b).
% 9.95/10.17 (* end of lemma zenon_L427_ *)
% 9.95/10.17 assert (zenon_L428_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 9.95/10.17 do 0 intro. intros zenon_Hda zenon_H28 zenon_H5e zenon_H91 zenon_H1e zenon_Hd3 zenon_H4c zenon_H90 zenon_Hb1 zenon_H8c zenon_H86 zenon_H17c zenon_H198 zenon_H15a zenon_H18a zenon_H7a zenon_Hd0 zenon_H181 zenon_H187 zenon_H1b7 zenon_H8d zenon_H53 zenon_Hb0 zenon_H84 zenon_He3.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdb ].
% 9.95/10.17 exact (zenon_H28 zenon_H31).
% 9.95/10.17 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H6c | zenon_intro zenon_Hdc ].
% 9.95/10.17 apply (zenon_L236_); trivial.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H74 | zenon_intro zenon_Hbc ].
% 9.95/10.17 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hb5 ].
% 9.95/10.17 apply (zenon_L20_); trivial.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H78 | zenon_intro zenon_Hb6 ].
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H76 | zenon_intro zenon_H92 ].
% 9.95/10.17 apply (zenon_L21_); trivial.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H77 | zenon_intro zenon_H93 ].
% 9.95/10.17 apply (zenon_L22_); trivial.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H94 | zenon_intro zenon_H8a ].
% 9.95/10.17 exact (zenon_H91 zenon_H94).
% 9.95/10.17 apply (zenon_L427_); trivial.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H89 ].
% 9.95/10.17 exact (zenon_Hb1 zenon_Hb7).
% 9.95/10.17 apply (zenon_L250_); trivial.
% 9.95/10.17 apply (zenon_L266_); trivial.
% 9.95/10.17 (* end of lemma zenon_L428_ *)
% 9.95/10.17 assert (zenon_L429_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e2) (e1)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e3)) = (e1)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 9.95/10.17 do 0 intro. intros zenon_H1b1 zenon_H181 zenon_Hd3 zenon_H1bc zenon_H90 zenon_H192 zenon_H78 zenon_H5e zenon_H103 zenon_H1cb zenon_H62 zenon_H15a zenon_H159 zenon_H91 zenon_Hec.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1e | zenon_intro zenon_H1b2 ].
% 9.95/10.17 apply (zenon_L259_); trivial.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1d | zenon_intro zenon_H1b3 ].
% 9.95/10.17 exact (zenon_H192 zenon_H1d).
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H77 | zenon_intro zenon_Hf2 ].
% 9.95/10.17 apply (zenon_L22_); trivial.
% 9.95/10.17 apply (zenon_L264_); trivial.
% 9.95/10.17 (* end of lemma zenon_L429_ *)
% 9.95/10.17 assert (zenon_L430_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e3)) = (e0)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 9.95/10.17 do 0 intro. intros zenon_H1e2 zenon_He3 zenon_H95 zenon_H4c zenon_H28 zenon_Hda zenon_H35 zenon_H77 zenon_Hc7 zenon_H18a zenon_H89 zenon_H15a zenon_H198 zenon_H17c zenon_H84 zenon_H86.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_Hcf | zenon_intro zenon_H1e3 ].
% 9.95/10.17 apply (zenon_L296_); trivial.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H1e4 ].
% 9.95/10.17 apply (zenon_L203_); trivial.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd0 ].
% 9.95/10.17 exact (zenon_Hc7 zenon_H3a).
% 9.95/10.17 apply (zenon_L279_); trivial.
% 9.95/10.17 (* end of lemma zenon_L430_ *)
% 9.95/10.17 assert (zenon_L431_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 9.95/10.17 do 0 intro. intros zenon_Hb0 zenon_H53 zenon_H74 zenon_Hec zenon_H91 zenon_H159 zenon_H62 zenon_H1cb zenon_H103 zenon_H5e zenon_H192 zenon_H90 zenon_H1bc zenon_Hd3 zenon_H181 zenon_H1b1 zenon_Hb1 zenon_H1e2 zenon_He3 zenon_H95 zenon_H4c zenon_H28 zenon_Hda zenon_H35 zenon_H77 zenon_Hc7 zenon_H18a zenon_H15a zenon_H198 zenon_H17c zenon_H84 zenon_H86.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hb5 ].
% 9.95/10.17 apply (zenon_L20_); trivial.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H78 | zenon_intro zenon_Hb6 ].
% 9.95/10.17 apply (zenon_L429_); trivial.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H89 ].
% 9.95/10.17 exact (zenon_Hb1 zenon_Hb7).
% 9.95/10.17 apply (zenon_L430_); trivial.
% 9.95/10.17 (* end of lemma zenon_L431_ *)
% 9.95/10.17 assert (zenon_L432_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e2)) = (op (e0) (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))))) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (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) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 9.95/10.17 do 0 intro. intros zenon_H64 zenon_H56 zenon_H51 zenon_Hec zenon_H91 zenon_H159 zenon_H15a zenon_H1cb zenon_H103 zenon_Hb0 zenon_H53 zenon_H5e zenon_H192 zenon_H90 zenon_H1bc zenon_Hd3 zenon_H181 zenon_H1b1 zenon_Hb1 zenon_H1e2 zenon_H95 zenon_H4c zenon_H28 zenon_Hda zenon_H35 zenon_Hc7 zenon_H18a zenon_H198 zenon_H17c zenon_H86 zenon_H8c zenon_H7a zenon_Hd0 zenon_H187 zenon_H1b7 zenon_H8d zenon_H84 zenon_He3.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 9.95/10.17 exact (zenon_H56 zenon_H2c).
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 9.95/10.17 apply (zenon_L428_); trivial.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 9.95/10.17 apply (zenon_L12_); trivial.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdb ].
% 9.95/10.17 exact (zenon_H28 zenon_H31).
% 9.95/10.17 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H6c | zenon_intro zenon_Hdc ].
% 9.95/10.17 apply (zenon_L236_); trivial.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H74 | zenon_intro zenon_Hbc ].
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1e | zenon_intro zenon_H1b2 ].
% 9.95/10.17 apply (zenon_L428_); trivial.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1d | zenon_intro zenon_H1b3 ].
% 9.95/10.17 exact (zenon_H192 zenon_H1d).
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H77 | zenon_intro zenon_Hf2 ].
% 9.95/10.17 apply (zenon_L431_); trivial.
% 9.95/10.17 apply (zenon_L264_); trivial.
% 9.95/10.17 apply (zenon_L266_); trivial.
% 9.95/10.17 (* end of lemma zenon_L432_ *)
% 9.95/10.17 assert (zenon_L433_ : ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((op (e1) (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) (e2)) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (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 (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e0))) -> (~((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)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e1) (e1)) = (e1))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((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 (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> False).
% 9.95/10.17 do 0 intro. intros zenon_H158 zenon_H6e zenon_H155 zenon_Hc5 zenon_H91 zenon_H51 zenon_H3c zenon_H150 zenon_H56 zenon_Hda zenon_He3 zenon_H53 zenon_H90 zenon_H18a zenon_H84 zenon_H86 zenon_H17c zenon_H198 zenon_H187 zenon_H1b7 zenon_H7a zenon_H181 zenon_H8c zenon_H5e zenon_Hb1 zenon_Hd3 zenon_Hb0 zenon_H15a zenon_H4c zenon_H28 zenon_H192 zenon_H95 zenon_H35 zenon_H1e2 zenon_H1bc zenon_H103 zenon_Hec zenon_H159 zenon_H1cb zenon_H1b1 zenon_H64 zenon_Hd2.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 9.95/10.17 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 9.95/10.17 apply (zenon_L129_); trivial.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 9.95/10.17 apply (zenon_L432_); trivial.
% 9.95/10.17 apply (zenon_L266_); trivial.
% 9.95/10.17 apply (zenon_L223_); trivial.
% 9.95/10.17 (* end of lemma zenon_L433_ *)
% 9.95/10.17 assert (zenon_L434_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> False).
% 9.95/10.17 do 0 intro. intros zenon_Hd2 zenon_Hcf zenon_Hce zenon_H3c zenon_H51 zenon_H91 zenon_Hc7 zenon_Hc5.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 9.95/10.17 apply (zenon_L129_); trivial.
% 9.95/10.17 apply (zenon_L44_); trivial.
% 9.95/10.17 (* end of lemma zenon_L434_ *)
% 9.95/10.17 assert (zenon_L435_ : ((~((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) (e2)) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> False).
% 9.95/10.17 do 0 intro. intros zenon_H158 zenon_Hc6 zenon_Hc5 zenon_H91 zenon_H51 zenon_H3c zenon_Hce zenon_Hcf zenon_Hd2.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 9.95/10.17 apply (zenon_L434_); trivial.
% 9.95/10.17 apply (zenon_L321_); trivial.
% 9.95/10.17 (* end of lemma zenon_L435_ *)
% 9.95/10.17 assert (zenon_L436_ : ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (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) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (op (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) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (((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)) = (e1))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (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) (e2)) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> False).
% 9.95/10.17 do 0 intro. intros zenon_H168 zenon_H150 zenon_H56 zenon_Hda zenon_He3 zenon_H53 zenon_H90 zenon_H18a zenon_H86 zenon_H17c zenon_H198 zenon_H8c zenon_H5e zenon_Hd3 zenon_Hb0 zenon_H4c zenon_H28 zenon_H95 zenon_H35 zenon_H1e2 zenon_H1bc zenon_H103 zenon_Hec zenon_H159 zenon_H1b1 zenon_H64 zenon_Hc6 zenon_Hce zenon_H156 zenon_H191 zenon_H6e zenon_H16e zenon_H192 zenon_H158 zenon_H155 zenon_Hc5 zenon_H91 zenon_H51 zenon_H3c zenon_H1b7 zenon_H84 zenon_H7a zenon_H181 zenon_H187 zenon_H1cb zenon_Hd2 zenon_H1af.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 9.95/10.17 apply (zenon_L224_); trivial.
% 9.95/10.17 apply (zenon_L425_); trivial.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 9.95/10.17 apply (zenon_L433_); trivial.
% 9.95/10.17 apply (zenon_L435_); trivial.
% 9.95/10.17 (* end of lemma zenon_L436_ *)
% 9.95/10.17 assert (zenon_L437_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e1) = (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) (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 (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (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))))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((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)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (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 (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (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 (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 9.95/10.17 do 0 intro. intros zenon_H64 zenon_H35 zenon_H90 zenon_Hd3 zenon_H91 zenon_H18a zenon_H17c zenon_H18d zenon_H86 zenon_H7a zenon_H43 zenon_H7e zenon_H7f zenon_H7d zenon_H6e zenon_H159 zenon_H27 zenon_Hdd zenon_H6f zenon_He7 zenon_H44 zenon_He8 zenon_H5e zenon_Hc0 zenon_H95 zenon_H4c zenon_H84 zenon_H17a zenon_H42 zenon_Hf5 zenon_H1f0 zenon_H100 zenon_H1e6 zenon_H1bc zenon_H198 zenon_Hab zenon_H1e2 zenon_H181 zenon_H12c zenon_H56 zenon_H1b4 zenon_Hc8 zenon_Hc7 zenon_H3c zenon_Hb1 zenon_Hc5 zenon_H9a zenon_H187.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 9.95/10.17 exact (zenon_H56 zenon_H2c).
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 9.95/10.17 exact (zenon_H56 zenon_H2c).
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 9.95/10.17 apply (zenon_L394_); trivial.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 9.95/10.17 apply (zenon_L421_); trivial.
% 9.95/10.17 apply (zenon_L415_); trivial.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 9.95/10.17 apply (zenon_L103_); trivial.
% 9.95/10.17 apply (zenon_L202_); trivial.
% 9.95/10.17 (* end of lemma zenon_L437_ *)
% 9.95/10.17 assert (zenon_L438_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (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) (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) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e0)) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (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))))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (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)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (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) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (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) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (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))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 9.95/10.17 do 0 intro. intros zenon_Hf8 zenon_H108 zenon_H25 zenon_H64 zenon_H44 zenon_H97 zenon_H7a zenon_H53 zenon_H28 zenon_H42 zenon_H1ef zenon_H195 zenon_H1ea zenon_H159 zenon_H1f zenon_H191 zenon_H198 zenon_H1af zenon_Hdd zenon_H1f0 zenon_H1e6 zenon_H100 zenon_H7e zenon_Hf5 zenon_H35 zenon_H6e zenon_H27 zenon_H90 zenon_H9a zenon_H17c zenon_H91 zenon_Hd3 zenon_H192 zenon_H12c zenon_H84 zenon_H205 zenon_Hc8 zenon_H4c zenon_H95 zenon_Hbb zenon_H1b1 zenon_H1b4 zenon_H56 zenon_H168 zenon_H150 zenon_Hda zenon_He3 zenon_H18a zenon_H86 zenon_H8c zenon_H5e zenon_Hb0 zenon_H1e2 zenon_H1bc zenon_H103 zenon_Hec zenon_Hc6 zenon_Hce zenon_H156 zenon_H16e zenon_H158 zenon_H155 zenon_Hc5 zenon_H3c zenon_H1b7 zenon_H181 zenon_H187 zenon_H1cb zenon_Hd2 zenon_Hb1 zenon_Hab zenon_Hc7 zenon_H7d zenon_H18d zenon_H6f zenon_He8 zenon_Hc0 zenon_H17a zenon_He7 zenon_H200.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 9.95/10.17 exact (zenon_H25 zenon_H2a).
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 9.95/10.17 apply (zenon_L423_); trivial.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 9.95/10.17 apply (zenon_L436_); trivial.
% 9.95/10.17 apply (zenon_L437_); trivial.
% 9.95/10.17 apply (zenon_L254_); trivial.
% 9.95/10.17 (* end of lemma zenon_L438_ *)
% 9.95/10.17 assert (zenon_L439_ : ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> False).
% 9.95/10.17 do 0 intro. intros zenon_H1ef zenon_H195 zenon_H191 zenon_Hc1 zenon_H68 zenon_H1f zenon_H159 zenon_H15a zenon_H1ea.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 9.95/10.17 apply (zenon_L324_); trivial.
% 9.95/10.17 apply (zenon_L325_); trivial.
% 9.95/10.17 (* end of lemma zenon_L439_ *)
% 9.95/10.17 assert (zenon_L440_ : (((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 (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (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).
% 9.95/10.17 do 0 intro. intros zenon_H1de zenon_H53 zenon_H69 zenon_Hc1 zenon_H95 zenon_H6e zenon_H18d zenon_H86 zenon_H7a zenon_H43 zenon_H7e zenon_H7f zenon_H7d.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H6c | zenon_intro zenon_H1df ].
% 9.95/10.17 apply (zenon_L18_); trivial.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H1e0 ].
% 9.95/10.17 exact (zenon_Hc1 zenon_Hc4).
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H161 | zenon_intro zenon_H188 ].
% 9.95/10.17 apply (zenon_L237_); trivial.
% 9.95/10.17 apply (zenon_L337_); trivial.
% 9.95/10.17 (* end of lemma zenon_L440_ *)
% 9.95/10.17 assert (zenon_L441_ : ((op (e1) (e2)) = (e0)) -> ((op (e1) (e2)) = (e3)) -> (~((e0) = (e3))) -> False).
% 9.95/10.17 do 0 intro. intros zenon_H101 zenon_H161 zenon_H53.
% 9.95/10.17 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H4d | zenon_intro zenon_H4e ].
% 9.95/10.17 cut (((e3) = (e3)) = ((e0) = (e3))).
% 9.95/10.17 intro zenon_D_pnotp.
% 9.95/10.17 apply zenon_H53.
% 9.95/10.17 rewrite <- zenon_D_pnotp.
% 9.95/10.17 exact zenon_H4d.
% 9.95/10.17 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 9.95/10.17 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H54].
% 9.95/10.17 congruence.
% 9.95/10.17 cut (((op (e1) (e2)) = (e0)) = ((e3) = (e0))).
% 9.95/10.17 intro zenon_D_pnotp.
% 9.95/10.17 apply zenon_H54.
% 9.95/10.17 rewrite <- zenon_D_pnotp.
% 9.95/10.17 exact zenon_H101.
% 9.95/10.17 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H41].
% 9.95/10.17 cut (((op (e1) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H1cd].
% 9.95/10.17 congruence.
% 9.95/10.17 exact (zenon_H1cd zenon_H161).
% 9.95/10.17 apply zenon_H41. apply refl_equal.
% 9.95/10.17 apply zenon_H4e. apply refl_equal.
% 9.95/10.17 apply zenon_H4e. apply refl_equal.
% 9.95/10.17 (* end of lemma zenon_L441_ *)
% 9.95/10.17 assert (zenon_L442_ : (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e2)) = (e0)) -> False).
% 9.95/10.17 do 0 intro. intros zenon_H1dd zenon_He4 zenon_H106.
% 9.95/10.17 cut (((op (e3) (e0)) = (e0)) = ((op (e3) (e0)) = (op (e3) (e2)))).
% 9.95/10.17 intro zenon_D_pnotp.
% 9.95/10.17 apply zenon_H1dd.
% 9.95/10.17 rewrite <- zenon_D_pnotp.
% 9.95/10.17 exact zenon_He4.
% 9.95/10.17 cut (((e0) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H210].
% 9.95/10.17 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hbf].
% 9.95/10.17 congruence.
% 9.95/10.17 apply zenon_Hbf. apply refl_equal.
% 9.95/10.17 apply zenon_H210. apply sym_equal. exact zenon_H106.
% 9.95/10.17 (* end of lemma zenon_L442_ *)
% 9.95/10.17 assert (zenon_L443_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e1))) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e1)) -> ((op (e1) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> False).
% 9.95/10.17 do 0 intro. intros zenon_H108 zenon_H5e zenon_H53 zenon_H5d zenon_H161 zenon_H1dd zenon_He4.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H51 | zenon_intro zenon_H109 ].
% 9.95/10.17 apply (zenon_L12_); trivial.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H101 | zenon_intro zenon_H10a ].
% 9.95/10.17 apply (zenon_L441_); trivial.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H106 ].
% 9.95/10.17 apply (zenon_L133_); trivial.
% 9.95/10.17 apply (zenon_L442_); trivial.
% 9.95/10.17 (* end of lemma zenon_L443_ *)
% 9.95/10.17 assert (zenon_L444_ : (((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 (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (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).
% 9.95/10.17 do 0 intro. intros zenon_H1de zenon_H4c zenon_H15a zenon_Hc1 zenon_He4 zenon_H1dd zenon_H5d zenon_H53 zenon_H5e zenon_H108 zenon_H18d zenon_H86 zenon_H7a zenon_H43 zenon_H7e zenon_H7f zenon_H7d.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H6c | zenon_intro zenon_H1df ].
% 9.95/10.17 apply (zenon_L236_); trivial.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H1e0 ].
% 9.95/10.17 exact (zenon_Hc1 zenon_Hc4).
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H161 | zenon_intro zenon_H188 ].
% 9.95/10.17 apply (zenon_L443_); trivial.
% 9.95/10.17 apply (zenon_L337_); trivial.
% 9.95/10.17 (* end of lemma zenon_L444_ *)
% 9.95/10.17 assert (zenon_L445_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((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 (e2) (e2)) = (e1))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> False).
% 9.95/10.17 do 0 intro. intros zenon_H90 zenon_H35 zenon_H84 zenon_H205 zenon_Hc8 zenon_H4c zenon_Hcf zenon_H95 zenon_H12c zenon_H91 zenon_H181 zenon_H62.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H76 | zenon_intro zenon_H92 ].
% 9.95/10.17 apply (zenon_L47_); trivial.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H77 | zenon_intro zenon_H93 ].
% 9.95/10.17 apply (zenon_L386_); trivial.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H94 | zenon_intro zenon_H8a ].
% 9.95/10.17 exact (zenon_H91 zenon_H94).
% 9.95/10.17 apply (zenon_L258_); trivial.
% 9.95/10.17 (* end of lemma zenon_L445_ *)
% 9.95/10.17 assert (zenon_L446_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e1) (e0)) = (e1)) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e3)) = (op (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 (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> False).
% 9.95/10.17 do 0 intro. intros zenon_Hdd zenon_H27 zenon_H15a zenon_H62 zenon_H181 zenon_H91 zenon_H12c zenon_H95 zenon_H4c zenon_Hc8 zenon_H205 zenon_H84 zenon_H35 zenon_H90 zenon_He4 zenon_H44.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hdf ].
% 9.95/10.17 exact (zenon_H27 zenon_H32).
% 9.95/10.17 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H6a | zenon_intro zenon_He0 ].
% 9.95/10.17 apply (zenon_L238_); trivial.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd8 ].
% 9.95/10.17 apply (zenon_L445_); trivial.
% 9.95/10.17 apply (zenon_L99_); trivial.
% 9.95/10.17 (* end of lemma zenon_L446_ *)
% 9.95/10.17 assert (zenon_L447_ : (((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)) = (op (e2) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (((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) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (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)) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e1))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e3)) = (op (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 (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> False).
% 9.95/10.17 do 0 intro. intros zenon_H64 zenon_H56 zenon_H187 zenon_H17c zenon_H18a zenon_Hc7 zenon_H1e2 zenon_Hab zenon_H198 zenon_H1bc zenon_H6e zenon_H6f zenon_H42 zenon_H7d zenon_H7f zenon_H7e zenon_H43 zenon_H7a zenon_H86 zenon_H18d zenon_H108 zenon_H5e zenon_H53 zenon_H1dd zenon_Hc1 zenon_H1de zenon_Hdd zenon_H27 zenon_H15a zenon_H181 zenon_H91 zenon_H12c zenon_H95 zenon_H4c zenon_Hc8 zenon_H205 zenon_H84 zenon_H35 zenon_H90 zenon_He4 zenon_H44.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 9.95/10.17 exact (zenon_H56 zenon_H2c).
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 9.95/10.17 apply (zenon_L394_); trivial.
% 9.95/10.17 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 9.95/10.17 apply (zenon_L444_); trivial.
% 9.95/10.17 apply (zenon_L446_); trivial.
% 9.95/10.17 (* end of lemma zenon_L447_ *)
% 9.95/10.17 assert (zenon_L448_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((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)) = (e1))) -> (~((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 (e2) (e2)) = (e2))) -> (((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) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (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)) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e1))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e2))) -> False).
% 9.95/10.18 do 0 intro. intros zenon_H18e zenon_H25 zenon_Hc6 zenon_Hc5 zenon_H64 zenon_H56 zenon_H187 zenon_H17c zenon_H18a zenon_Hc7 zenon_H1e2 zenon_Hab zenon_H198 zenon_H1bc zenon_H6e zenon_H6f zenon_H42 zenon_H7d zenon_H7f zenon_H7e zenon_H43 zenon_H7a zenon_H86 zenon_H18d zenon_H108 zenon_H5e zenon_H53 zenon_H1dd zenon_Hc1 zenon_H1de zenon_Hdd zenon_H27 zenon_H15a zenon_H181 zenon_H91 zenon_H12c zenon_H95 zenon_H4c zenon_Hc8 zenon_H205 zenon_H84 zenon_H35 zenon_H90 zenon_H44.
% 9.95/10.18 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 9.95/10.18 exact (zenon_H25 zenon_H2a).
% 9.95/10.18 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 9.95/10.18 apply (zenon_L440_); trivial.
% 9.95/10.18 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 9.95/10.18 apply (zenon_L43_); trivial.
% 9.95/10.18 apply (zenon_L447_); trivial.
% 9.95/10.18 (* end of lemma zenon_L448_ *)
% 9.95/10.18 assert (zenon_L449_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> (((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) (e3)) = (e1))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((op (e1) (e2)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((e0) = (e2))) -> (((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)))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (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) (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 (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((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 (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((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 (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> False).
% 9.95/10.18 do 0 intro. intros zenon_Hf8 zenon_H3c zenon_H155 zenon_Hb1 zenon_H25 zenon_H1de zenon_H7d zenon_H7e zenon_H43 zenon_H7a zenon_H86 zenon_H18d zenon_H6e zenon_H95 zenon_Hc1 zenon_H53 zenon_Hc5 zenon_Hc8 zenon_Hc7 zenon_H91 zenon_Hc6 zenon_H64 zenon_H205 zenon_H84 zenon_H44 zenon_Hdd zenon_H108 zenon_H1dd zenon_H5e zenon_H27 zenon_H35 zenon_H6f zenon_H90 zenon_H187 zenon_H17c zenon_H18a zenon_H1e2 zenon_H181 zenon_H4c zenon_Hab zenon_H198 zenon_H12c zenon_H15a zenon_H1bc zenon_H42 zenon_H56 zenon_H18e.
% 9.95/10.18 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 9.95/10.18 apply (zenon_L448_); trivial.
% 9.95/10.18 apply (zenon_L254_); trivial.
% 9.95/10.18 (* end of lemma zenon_L449_ *)
% 9.95/10.18 assert (zenon_L450_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (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 (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) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (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) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (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 (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> ((op (e1) (e2)) = (e2)) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e3) (e3)) = (e1))) -> (((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) (e0)) = (e0))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 9.95/10.18 do 0 intro. intros zenon_Hd2 zenon_H18e zenon_H56 zenon_H42 zenon_H1bc zenon_H15a zenon_H12c zenon_H198 zenon_Hab zenon_H4c zenon_H181 zenon_H1e2 zenon_H18a zenon_H17c zenon_H187 zenon_H90 zenon_H6f zenon_H35 zenon_H27 zenon_H5e zenon_H1dd zenon_H108 zenon_Hdd zenon_H44 zenon_H84 zenon_H205 zenon_H64 zenon_Hc6 zenon_H91 zenon_Hc7 zenon_Hc5 zenon_H53 zenon_Hc1 zenon_H95 zenon_H6e zenon_H18d zenon_H86 zenon_H7a zenon_H43 zenon_H7e zenon_H7d zenon_H1de zenon_H25 zenon_Hb1 zenon_H155 zenon_H3c zenon_Hf8.
% 9.95/10.18 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 9.95/10.18 apply (zenon_L449_); trivial.
% 9.95/10.18 apply (zenon_L426_); trivial.
% 9.95/10.18 (* end of lemma zenon_L450_ *)
% 9.95/10.18 assert (zenon_L451_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((op (e2) (e3)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((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)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (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 (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) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (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) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (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 (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> ((op (e1) (e2)) = (e2)) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (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))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 9.95/10.18 do 0 intro. intros zenon_H200 zenon_Hd0 zenon_H97 zenon_H1af zenon_H1cb zenon_H1b7 zenon_H158 zenon_H192 zenon_H16e zenon_H191 zenon_H156 zenon_Hce zenon_H1b1 zenon_H159 zenon_Hec zenon_H103 zenon_H28 zenon_Hb0 zenon_Hd3 zenon_H8c zenon_He3 zenon_Hda zenon_H150 zenon_H168 zenon_Hd2 zenon_H18e zenon_H56 zenon_H42 zenon_H1bc zenon_H15a zenon_H12c zenon_H198 zenon_Hab zenon_H4c zenon_H181 zenon_H1e2 zenon_H18a zenon_H17c zenon_H187 zenon_H90 zenon_H6f zenon_H35 zenon_H27 zenon_H5e zenon_H1dd zenon_H108 zenon_Hdd zenon_H44 zenon_H84 zenon_H205 zenon_H64 zenon_Hc6 zenon_H91 zenon_Hc7 zenon_Hc5 zenon_H53 zenon_Hc1 zenon_H95 zenon_H6e zenon_H18d zenon_H86 zenon_H7a zenon_H7e zenon_H7d zenon_H1de zenon_H25 zenon_Hb1 zenon_H155 zenon_H3c zenon_Hf8.
% 9.95/10.18 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 9.95/10.18 exact (zenon_H25 zenon_H2a).
% 9.95/10.18 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 9.95/10.18 apply (zenon_L171_); trivial.
% 9.95/10.18 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 9.95/10.18 apply (zenon_L436_); trivial.
% 9.95/10.18 apply (zenon_L450_); trivial.
% 9.95/10.18 (* end of lemma zenon_L451_ *)
% 9.95/10.18 assert (zenon_L452_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (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)) = (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 (e0) (e1)) = (op (e1) (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) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e3) (e3)) = (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 (e1) (e3)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (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) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (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)) = (e2))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (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) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> False).
% 9.95/10.18 do 0 intro. intros zenon_Hf8 zenon_H155 zenon_H108 zenon_H56 zenon_Haf zenon_Hb0 zenon_Hd3 zenon_H53 zenon_Hb1 zenon_H44 zenon_H5e zenon_H64 zenon_H165 zenon_H159 zenon_He8 zenon_Hc0 zenon_H17a zenon_He7 zenon_Hdd zenon_H191 zenon_H1f zenon_H14d zenon_He3 zenon_H150 zenon_H114 zenon_H1b4 zenon_H192 zenon_H84 zenon_H205 zenon_Hbb zenon_H1b1 zenon_H9a zenon_Hce zenon_Hd2 zenon_Hde zenon_H27 zenon_H35 zenon_H6f zenon_H6e zenon_H90 zenon_H187 zenon_H43 zenon_H17c zenon_H18d zenon_H86 zenon_H7a zenon_H7d zenon_H18a zenon_H91 zenon_H1e2 zenon_H181 zenon_Hc7 zenon_H95 zenon_H4c zenon_Hc8 zenon_Hab zenon_H7e zenon_H198 zenon_H12c zenon_H1bc zenon_H42 zenon_Hc5 zenon_H3c.
% 9.95/10.18 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 9.95/10.18 apply (zenon_L416_); trivial.
% 9.95/10.18 apply (zenon_L254_); trivial.
% 9.95/10.18 (* end of lemma zenon_L452_ *)
% 9.95/10.18 assert (zenon_L453_ : ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((e2) = (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) (e2)) = (e1))) -> (((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 (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e1)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (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) (e1)) = (op (e1) (e1)))) -> (((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 (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 (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> False).
% 9.95/10.18 do 0 intro. intros zenon_H156 zenon_H3c zenon_Hc5 zenon_H42 zenon_H1bc zenon_H12c zenon_H198 zenon_H7e zenon_Hab zenon_H4c zenon_H95 zenon_H181 zenon_H1e2 zenon_H91 zenon_H18a zenon_H7d zenon_H7a zenon_H86 zenon_H18d zenon_H17c zenon_H43 zenon_H187 zenon_H90 zenon_H6e zenon_H6f zenon_H35 zenon_H27 zenon_Hde zenon_Hd2 zenon_Hce zenon_H9a zenon_H1b1 zenon_Hbb zenon_H205 zenon_H84 zenon_H192 zenon_H1b4 zenon_H114 zenon_H150 zenon_He3 zenon_H14d zenon_H1f zenon_H191 zenon_Hdd zenon_He7 zenon_H17a zenon_Hc0 zenon_He8 zenon_H159 zenon_H165 zenon_H64 zenon_H5e zenon_H44 zenon_H53 zenon_Hd3 zenon_Hb0 zenon_Haf zenon_H56 zenon_H108 zenon_H155 zenon_Hf8 zenon_H158.
% 9.95/10.18 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 9.95/10.18 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 9.95/10.18 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 9.95/10.18 apply (zenon_L452_); trivial.
% 9.95/10.18 apply (zenon_L412_); trivial.
% 9.95/10.18 apply (zenon_L223_); trivial.
% 9.95/10.18 apply (zenon_L397_); trivial.
% 9.95/10.18 (* end of lemma zenon_L453_ *)
% 9.95/10.18 assert (zenon_L454_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (e1))) -> (((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 (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))) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((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)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (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) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (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)) = (e2))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (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) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> False).
% 9.95/10.18 do 0 intro. intros zenon_Hf8 zenon_H155 zenon_H53 zenon_H108 zenon_H56 zenon_H1b4 zenon_He7 zenon_H17a zenon_H84 zenon_Hc0 zenon_H5e zenon_He8 zenon_H44 zenon_H9a zenon_Hd3 zenon_H159 zenon_Hf5 zenon_H100 zenon_H1e6 zenon_H1f0 zenon_Hdd zenon_H27 zenon_H35 zenon_H6f zenon_H6e zenon_H90 zenon_H187 zenon_H43 zenon_H17c zenon_H18d zenon_H86 zenon_H7a zenon_H7d zenon_H18a zenon_H91 zenon_H1e2 zenon_H181 zenon_Hc7 zenon_H95 zenon_H4c zenon_Hc8 zenon_Hab zenon_H7e zenon_H198 zenon_H12c zenon_H1bc zenon_H42 zenon_Hc5 zenon_H3c zenon_Hb1 zenon_H64.
% 9.95/10.18 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 9.95/10.18 apply (zenon_L437_); trivial.
% 9.95/10.18 apply (zenon_L254_); trivial.
% 9.95/10.18 (* end of lemma zenon_L454_ *)
% 9.95/10.18 assert (zenon_L455_ : ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (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 (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (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) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((e2) = (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) (e2)) = (e1))) -> (((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 (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e3)) = (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)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> False).
% 9.95/10.18 do 0 intro. intros zenon_H156 zenon_H205 zenon_Hbb zenon_H1b1 zenon_Hce zenon_Hd2 zenon_H165 zenon_H191 zenon_H1f zenon_H192 zenon_H14d zenon_He3 zenon_H150 zenon_H64 zenon_H3c zenon_Hc5 zenon_H42 zenon_H1bc zenon_H12c zenon_H198 zenon_H7e zenon_Hab zenon_H4c zenon_H95 zenon_H181 zenon_H1e2 zenon_H91 zenon_H18a zenon_H7d zenon_H7a zenon_H86 zenon_H18d zenon_H17c zenon_H43 zenon_H187 zenon_H90 zenon_H6e zenon_H6f zenon_H35 zenon_H27 zenon_Hdd zenon_H1f0 zenon_H1e6 zenon_H100 zenon_Hf5 zenon_H159 zenon_Hd3 zenon_H9a zenon_H44 zenon_He8 zenon_H5e zenon_Hc0 zenon_H84 zenon_H17a zenon_He7 zenon_H1b4 zenon_H56 zenon_H108 zenon_H53 zenon_H155 zenon_Hf8 zenon_H158.
% 9.95/10.18 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 9.95/10.18 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 9.95/10.18 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 9.95/10.18 apply (zenon_L454_); trivial.
% 9.95/10.18 apply (zenon_L412_); trivial.
% 9.95/10.18 apply (zenon_L223_); trivial.
% 9.95/10.18 apply (zenon_L397_); trivial.
% 9.95/10.18 (* end of lemma zenon_L455_ *)
% 9.95/10.18 assert (zenon_L456_ : ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (e1))) -> (((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 (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))) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((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)) = (e2))) -> (~((e1) = (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) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (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) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (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)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (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) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (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) (e0)) = (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) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (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) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((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))))) -> False).
% 9.95/10.18 do 0 intro. intros zenon_H1af zenon_H158 zenon_Hf8 zenon_H155 zenon_H53 zenon_H108 zenon_H56 zenon_H1b4 zenon_He7 zenon_H17a zenon_H84 zenon_Hc0 zenon_H5e zenon_H44 zenon_Hd3 zenon_H159 zenon_Hf5 zenon_H100 zenon_H1e6 zenon_H1f0 zenon_Hdd zenon_H27 zenon_H35 zenon_H6f zenon_H90 zenon_H187 zenon_H43 zenon_H17c zenon_H18d zenon_H86 zenon_H7a zenon_H7d zenon_H18a zenon_H91 zenon_H1e2 zenon_H181 zenon_H95 zenon_H4c zenon_Hab zenon_H7e zenon_H198 zenon_H12c zenon_H1bc zenon_H42 zenon_Hc5 zenon_H3c zenon_H64 zenon_H150 zenon_He3 zenon_H14d zenon_H1f zenon_H165 zenon_Hd2 zenon_Hce zenon_H1b1 zenon_Hbb zenon_H205 zenon_H156 zenon_He8 zenon_H192 zenon_H16e zenon_H6e zenon_H191.
% 9.95/10.18 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 9.95/10.18 apply (zenon_L224_); trivial.
% 9.95/10.18 apply (zenon_L455_); trivial.
% 9.95/10.18 (* end of lemma zenon_L456_ *)
% 9.95/10.18 assert (zenon_L457_ : ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> (((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) (e3)) = (e1))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((op (e1) (e2)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((e0) = (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 (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((e0) = (e2))) -> (((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)))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (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) (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 (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((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 (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((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 (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> False).
% 9.95/10.18 do 0 intro. intros zenon_H158 zenon_Hf8 zenon_H3c zenon_H155 zenon_Hb1 zenon_H25 zenon_H1de zenon_H7d zenon_H7e zenon_H43 zenon_H7a zenon_H86 zenon_H18d zenon_H6e zenon_H95 zenon_Hc1 zenon_H53 zenon_Hc5 zenon_H91 zenon_Hc6 zenon_H64 zenon_H205 zenon_H84 zenon_H44 zenon_Hdd zenon_H108 zenon_H1dd zenon_H5e zenon_H27 zenon_H35 zenon_H6f zenon_H90 zenon_H187 zenon_H17c zenon_H18a zenon_H1e2 zenon_H181 zenon_H4c zenon_Hab zenon_H198 zenon_H12c zenon_H15a zenon_H1bc zenon_H42 zenon_H56 zenon_H18e zenon_Hd2.
% 9.95/10.18 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 9.95/10.18 apply (zenon_L450_); trivial.
% 9.95/10.18 apply (zenon_L223_); trivial.
% 9.95/10.18 (* end of lemma zenon_L457_ *)
% 9.95/10.18 assert (zenon_L458_ : ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (e0))) -> (((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) (e3)) = (e1))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((op (e1) (e2)) = (e2)) -> (~((e2) = (e3))) -> (~((e0) = (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 (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((e0) = (e2))) -> (((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)))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (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) (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 (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((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 (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((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 (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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 (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((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)) = (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) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((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 (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((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 (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (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) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> False).
% 9.95/10.18 do 0 intro. intros zenon_H158 zenon_Hf8 zenon_H3c zenon_H155 zenon_H25 zenon_H1de zenon_H7d zenon_H7e zenon_H43 zenon_H7a zenon_H86 zenon_H18d zenon_H6e zenon_H95 zenon_H53 zenon_Hc5 zenon_H91 zenon_Hc6 zenon_H64 zenon_H205 zenon_H84 zenon_H44 zenon_Hdd zenon_H108 zenon_H1dd zenon_H5e zenon_H27 zenon_H35 zenon_H6f zenon_H90 zenon_H187 zenon_H17c zenon_H18a zenon_H1e2 zenon_H181 zenon_H4c zenon_Hab zenon_H198 zenon_H12c zenon_H15a zenon_H1bc zenon_H42 zenon_H56 zenon_H18e zenon_Hd2 zenon_H1e6 zenon_H173 zenon_Hfd zenon_H1fb zenon_H1f8 zenon_H200 zenon_H14d zenon_H177 zenon_Hc0 zenon_Hf5 zenon_H1f0 zenon_H1af zenon_H1f zenon_H195 zenon_H1ef zenon_H16b zenon_H114 zenon_H152 zenon_He7 zenon_H204 zenon_H4a zenon_H1ea zenon_H144 zenon_H145 zenon_H12f zenon_H97 zenon_H10b zenon_H103 zenon_H132 zenon_Hda zenon_H1b4 zenon_H156 zenon_H192 zenon_H11d zenon_H191 zenon_Hae zenon_H168 zenon_H150 zenon_He3 zenon_H1b1 zenon_H1cb zenon_H159 zenon_Hec zenon_Hb0 zenon_Hd3 zenon_H8c zenon_H1b7 zenon_Hce zenon_H128 zenon_H58 zenon_H1ba zenon_H1c0 zenon_H1c3 zenon_H112 zenon_Hde zenon_H67.
% 9.95/10.18 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 9.95/10.18 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 9.95/10.18 apply (zenon_L457_); trivial.
% 9.95/10.18 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 9.95/10.18 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 9.95/10.18 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 9.95/10.18 apply (zenon_L448_); trivial.
% 9.95/10.18 apply (zenon_L380_); trivial.
% 9.95/10.18 apply (zenon_L44_); trivial.
% 9.95/10.18 apply (zenon_L321_); trivial.
% 9.95/10.18 apply (zenon_L194_); trivial.
% 9.95/10.18 (* end of lemma zenon_L458_ *)
% 9.95/10.18 assert (zenon_L459_ : ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((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 (e3) (e3)) = (e3)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e2) (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) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((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 (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((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 (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> False).
% 9.95/10.18 do 0 intro. intros zenon_H4a zenon_H1af zenon_Hd2 zenon_H1cb zenon_H187 zenon_H181 zenon_H7a zenon_H84 zenon_H1b7 zenon_H3c zenon_H51 zenon_H91 zenon_Hc5 zenon_H155 zenon_H158 zenon_H192 zenon_H16e zenon_H6e zenon_H191 zenon_H156 zenon_Hce zenon_Hc6 zenon_H64 zenon_H1b1 zenon_H159 zenon_Hec zenon_H103 zenon_H1bc zenon_H1e2 zenon_H35 zenon_H95 zenon_H4c zenon_Hb0 zenon_Hd3 zenon_H5e zenon_H8c zenon_H198 zenon_H17c zenon_H86 zenon_H18a zenon_H90 zenon_H53 zenon_He3 zenon_Hda zenon_H56 zenon_H150 zenon_H168.
% 9.95/10.18 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 9.95/10.18 apply (zenon_L436_); trivial.
% 9.95/10.18 apply (zenon_L343_); trivial.
% 9.95/10.18 (* end of lemma zenon_L459_ *)
% 9.95/10.18 assert (zenon_L460_ : ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((op (e1) (e2)) = (e2)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> False).
% 9.95/10.18 do 0 intro. intros zenon_H158 zenon_H6e zenon_H145 zenon_H9a zenon_H5e zenon_H155 zenon_H91 zenon_Hc5 zenon_He8 zenon_H2a zenon_H12f zenon_H1b7 zenon_H84 zenon_H7a zenon_H181 zenon_H187 zenon_H58 zenon_Hd2.
% 9.95/10.18 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 9.95/10.18 apply (zenon_L215_); trivial.
% 9.95/10.18 apply (zenon_L223_); trivial.
% 9.95/10.18 (* end of lemma zenon_L460_ *)
% 9.95/10.18 assert (zenon_L461_ : ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((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))))) -> False).
% 9.95/10.18 do 0 intro. intros zenon_H1af zenon_Hd2 zenon_H58 zenon_H187 zenon_H181 zenon_H7a zenon_H84 zenon_H1b7 zenon_H12f zenon_H2a zenon_Hc5 zenon_H91 zenon_H155 zenon_H5e zenon_H145 zenon_H158 zenon_He8 zenon_H192 zenon_H16e zenon_H6e zenon_H191.
% 9.95/10.18 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 9.95/10.18 apply (zenon_L224_); trivial.
% 9.95/10.18 apply (zenon_L460_); trivial.
% 9.95/10.18 (* end of lemma zenon_L461_ *)
% 9.95/10.18 assert (zenon_L462_ : ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e2)) = (e0))) -> (~((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)) = (e1)) -> (~((e1) = (e3))) -> (~((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) (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 (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (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 (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> False).
% 9.95/10.18 do 0 intro. intros zenon_H150 zenon_H56 zenon_H1c3 zenon_H1c0 zenon_H1ba zenon_Hdd zenon_H53 zenon_H95 zenon_Hda zenon_Hd0 zenon_Hce zenon_H35 zenon_H27 zenon_H90 zenon_H58 zenon_H2a zenon_H1b7 zenon_H84 zenon_H7a zenon_H181 zenon_H187 zenon_H8c zenon_H91 zenon_H5e zenon_H1bc zenon_Hb1 zenon_Hd3 zenon_Hb0 zenon_H15a zenon_H4c zenon_H28 zenon_H42 zenon_H97 zenon_H1b1 zenon_H1cb zenon_H159 zenon_Hec zenon_H103 zenon_H18a zenon_H86 zenon_H198 zenon_H17c zenon_H192 zenon_H64.
% 9.95/10.18 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 9.95/10.18 apply (zenon_L281_); trivial.
% 9.95/10.18 apply (zenon_L221_); trivial.
% 9.95/10.18 (* end of lemma zenon_L462_ *)
% 9.95/10.18 assert (zenon_L463_ : ((~((op (e0) (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)) = (op (e2) (e2)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (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) (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)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (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) (e3)))) -> (((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)) = (e1))) -> (((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 (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (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) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((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 (e3) (e1)) = (op (e3) (e2)))) -> (~((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 (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (((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)) = (e1))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> False).
% 9.95/10.18 do 0 intro. intros zenon_H67 zenon_H1e2 zenon_Hc6 zenon_H168 zenon_H156 zenon_H17c zenon_H18a zenon_H97 zenon_Hf8 zenon_H108 zenon_H4c zenon_H95 zenon_H18d zenon_H56 zenon_Hb0 zenon_H53 zenon_H198 zenon_Hd3 zenon_H8c zenon_Hdd zenon_Hce zenon_H128 zenon_H86 zenon_H7e zenon_H7d zenon_H90 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_Hda zenon_H35 zenon_H3c zenon_H64 zenon_H1de zenon_H1dd zenon_H12c zenon_H103 zenon_Hec zenon_H159 zenon_H1cb zenon_H1b1 zenon_H6f zenon_H42 zenon_He3 zenon_H150 zenon_H191 zenon_H6e zenon_H16e zenon_H192 zenon_H158 zenon_H145 zenon_H5e zenon_H155 zenon_H91 zenon_Hc5 zenon_H2a zenon_H12f zenon_H1b7 zenon_H84 zenon_H7a zenon_H181 zenon_H187 zenon_H58 zenon_Hd2 zenon_H1af zenon_H4a.
% 9.95/10.18 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 9.95/10.18 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 9.95/10.18 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 9.95/10.18 apply (zenon_L461_); trivial.
% 9.95/10.18 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 9.95/10.18 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 9.95/10.18 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 9.95/10.18 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 9.95/10.18 apply (zenon_L269_); trivial.
% 9.95/10.18 apply (zenon_L462_); trivial.
% 9.95/10.18 apply (zenon_L223_); trivial.
% 9.95/10.18 apply (zenon_L296_); trivial.
% 9.95/10.18 apply (zenon_L194_); trivial.
% 9.95/10.18 apply (zenon_L213_); trivial.
% 9.95/10.18 apply (zenon_L459_); trivial.
% 9.95/10.18 (* end of lemma zenon_L463_ *)
% 9.95/10.18 assert (zenon_L464_ : ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((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)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((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 (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((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 (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((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) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((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 (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 (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e2)) = (op (e2) (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 (e2) (e3)) = (op (e3) (e3)))) -> (((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)) = (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) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((e0) = (e2))) -> (((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 (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) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e0) = (e1))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((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 (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (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 (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (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) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (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) (e1)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> False).
% 9.95/10.19 do 0 intro. intros zenon_H157 zenon_H16f zenon_H16e zenon_Hec zenon_H103 zenon_H8c zenon_H168 zenon_Hf5 zenon_H1e6 zenon_H1f0 zenon_H191 zenon_H192 zenon_H156 zenon_H1b7 zenon_H1cb zenon_H200 zenon_Hb0 zenon_H64 zenon_H165 zenon_Hc0 zenon_H17a zenon_He7 zenon_H14d zenon_He3 zenon_H150 zenon_H114 zenon_Hce zenon_Hde zenon_H6f zenon_H187 zenon_H18d zenon_H86 zenon_H7d zenon_H18a zenon_H1e2 zenon_Hab zenon_H7e zenon_H1bc zenon_H3c zenon_H1b4 zenon_H1b1 zenon_Hbb zenon_H205 zenon_H12c zenon_Hd3 zenon_H91 zenon_H17c zenon_H90 zenon_H159 zenon_H6e zenon_H35 zenon_Hda zenon_H95 zenon_H4c zenon_H53 zenon_Hdd zenon_H198 zenon_H56 zenon_Hd2 zenon_H44 zenon_H97 zenon_H7a zenon_H181 zenon_H42 zenon_Hc6 zenon_Hc5 zenon_H5e zenon_H1af zenon_H1f zenon_H1ea zenon_H195 zenon_H1ef zenon_H18e zenon_H108 zenon_H155 zenon_Hf8 zenon_H158 zenon_H173 zenon_Hfd zenon_H1fb zenon_H1f8 zenon_H177 zenon_H16b zenon_H152 zenon_H204 zenon_H4a zenon_H144 zenon_H145 zenon_H12f zenon_H10b zenon_H132 zenon_H11d zenon_Hae zenon_H128 zenon_H58 zenon_H1ba zenon_H1c0 zenon_H1c3 zenon_H112 zenon_H67 zenon_H1dd zenon_H1de.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 9.95/10.19 apply (zenon_L382_); trivial.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 9.95/10.19 exact (zenon_H192 zenon_H1d).
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 9.95/10.19 apply (zenon_L223_); trivial.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 9.95/10.19 apply (zenon_L190_); trivial.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 9.95/10.19 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 9.95/10.19 apply (zenon_L417_); trivial.
% 9.95/10.19 apply (zenon_L419_); trivial.
% 9.95/10.19 apply (zenon_L223_); trivial.
% 9.95/10.19 apply (zenon_L397_); trivial.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 9.95/10.19 apply (zenon_L224_); trivial.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 9.95/10.19 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 9.95/10.19 apply (zenon_L438_); trivial.
% 9.95/10.19 apply (zenon_L419_); trivial.
% 9.95/10.19 apply (zenon_L223_); trivial.
% 9.95/10.19 apply (zenon_L235_); trivial.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 9.95/10.19 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 9.95/10.19 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 9.95/10.19 exact (zenon_H25 zenon_H2a).
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 9.95/10.19 apply (zenon_L439_); trivial.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 9.95/10.19 apply (zenon_L129_); trivial.
% 9.95/10.19 apply (zenon_L448_); trivial.
% 9.95/10.19 apply (zenon_L380_); trivial.
% 9.95/10.19 apply (zenon_L451_); trivial.
% 9.95/10.19 apply (zenon_L223_); trivial.
% 9.95/10.19 apply (zenon_L296_); trivial.
% 9.95/10.19 apply (zenon_L194_); trivial.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 9.95/10.19 apply (zenon_L190_); trivial.
% 9.95/10.19 apply (zenon_L453_); trivial.
% 9.95/10.19 apply (zenon_L456_); trivial.
% 9.95/10.19 apply (zenon_L458_); trivial.
% 9.95/10.19 apply (zenon_L459_); trivial.
% 9.95/10.19 apply (zenon_L463_); trivial.
% 9.95/10.19 (* end of lemma zenon_L464_ *)
% 9.95/10.19 assert (zenon_L465_ : ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (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)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (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 (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (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 (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((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 (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (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 (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (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))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (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 (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 (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (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) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (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) (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 (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 (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((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) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 9.95/10.19 do 0 intro. intros zenon_H69 zenon_Haf zenon_H1de zenon_H1dd zenon_H67 zenon_H112 zenon_H1c3 zenon_H1c0 zenon_H1ba zenon_H58 zenon_H128 zenon_Hae zenon_H11d zenon_H132 zenon_H10b zenon_H12f zenon_H145 zenon_H144 zenon_H4a zenon_H204 zenon_H152 zenon_H16b zenon_H177 zenon_H1f8 zenon_H1fb zenon_Hfd zenon_H173 zenon_H158 zenon_Hf8 zenon_H155 zenon_H108 zenon_H18e zenon_H1ef zenon_H195 zenon_H1ea zenon_H1f zenon_H1af zenon_H5e zenon_Hc5 zenon_Hc6 zenon_H42 zenon_H181 zenon_H7a zenon_H97 zenon_H44 zenon_Hd2 zenon_H56 zenon_H198 zenon_Hdd zenon_H53 zenon_H4c zenon_H95 zenon_Hda zenon_H159 zenon_H90 zenon_H17c zenon_H91 zenon_Hd3 zenon_H12c zenon_H205 zenon_Hbb zenon_H1b1 zenon_H1b4 zenon_H3c zenon_H1bc zenon_H7e zenon_Hab zenon_H1e2 zenon_H18a zenon_H7d zenon_H86 zenon_H18d zenon_H187 zenon_H6f zenon_Hde zenon_Hce zenon_H114 zenon_H150 zenon_He3 zenon_H14d zenon_He7 zenon_H17a zenon_Hc0 zenon_H165 zenon_H64 zenon_Hb0 zenon_H200 zenon_H1cb zenon_H1b7 zenon_H156 zenon_H192 zenon_H191 zenon_H1f0 zenon_H1e6 zenon_Hf5 zenon_H168 zenon_H8c zenon_H103 zenon_Hec zenon_H16e zenon_H16f zenon_H157 zenon_H9a zenon_H35.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6a | zenon_intro zenon_Hb2 ].
% 9.95/10.19 apply (zenon_L17_); trivial.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb3 ].
% 9.95/10.19 exact (zenon_Haf zenon_Hb4).
% 9.95/10.19 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H6e | zenon_intro zenon_H9b ].
% 9.95/10.19 apply (zenon_L464_); trivial.
% 9.95/10.19 apply (zenon_L34_); trivial.
% 9.95/10.19 (* end of lemma zenon_L465_ *)
% 9.95/10.19 assert (zenon_L466_ : (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (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) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((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 (e1) (e3)) = (op (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 (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (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 (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((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 (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (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))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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 (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 (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (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) (e0)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((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 (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((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) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (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))))) -> False).
% 9.95/10.19 do 0 intro. intros zenon_H44 zenon_H18e zenon_H205 zenon_Hbb zenon_H17a zenon_H165 zenon_H1ea zenon_H16e zenon_H156 zenon_H90 zenon_H17c zenon_H7d zenon_H7e zenon_H86 zenon_H132 zenon_H103 zenon_H1cb zenon_H108 zenon_Hf8 zenon_H158 zenon_H145 zenon_H5e zenon_H155 zenon_H91 zenon_Hc5 zenon_H12f zenon_H150 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H1b4 zenon_Hce zenon_Hdd zenon_H1af zenon_Hd2 zenon_Hd3 zenon_Hc0 zenon_He7 zenon_H53 zenon_H181 zenon_H42 zenon_H4c zenon_H95 zenon_H187 zenon_H64 zenon_H157 zenon_H14d zenon_H16b zenon_H1b1 zenon_H35 zenon_H159 zenon_H6f zenon_H198 zenon_H56 zenon_H58 zenon_H7a zenon_H1b7 zenon_H18d zenon_H173 zenon_Hfd zenon_H1fb zenon_H1f8 zenon_H200 zenon_H177 zenon_Hf5 zenon_H1f0 zenon_H1f zenon_H1ef zenon_H114 zenon_H152 zenon_H204 zenon_H4a zenon_H144 zenon_H11d zenon_Hae zenon_H168 zenon_Hc6 zenon_H67 zenon_H16f zenon_Hab zenon_Hde zenon_H112 zenon_H1e6 zenon_H10b zenon_H18a zenon_H1e2 zenon_H97 zenon_Hb0 zenon_H8c zenon_H128 zenon_Hda zenon_H3c zenon_H1de zenon_H1dd zenon_H12c zenon_Hec zenon_He3 zenon_H195 zenon_H69 zenon_H192 zenon_Haf zenon_H191.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 9.95/10.19 apply (zenon_L191_); trivial.
% 9.95/10.19 apply (zenon_L465_); trivial.
% 9.95/10.19 (* end of lemma zenon_L466_ *)
% 9.95/10.19 assert (zenon_L467_ : ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (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))))) -> False).
% 9.95/10.19 do 0 intro. intros zenon_H1af zenon_H15a zenon_H198 zenon_H195 zenon_H69 zenon_H192 zenon_Haf zenon_H191.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 9.95/10.19 apply (zenon_L191_); trivial.
% 9.95/10.19 apply (zenon_L194_); trivial.
% 9.95/10.19 (* end of lemma zenon_L467_ *)
% 9.95/10.19 assert (zenon_L468_ : ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((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)) = (e1))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> False).
% 9.95/10.19 do 0 intro. intros zenon_H1ea zenon_H159 zenon_H191 zenon_H192 zenon_H69 zenon_H195 zenon_H198 zenon_H15a zenon_H1af.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 9.95/10.19 apply (zenon_L467_); trivial.
% 9.95/10.19 apply (zenon_L123_); trivial.
% 9.95/10.19 (* end of lemma zenon_L468_ *)
% 9.95/10.19 assert (zenon_L469_ : (((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)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 9.95/10.19 do 0 intro. intros zenon_Hda zenon_H28 zenon_H53 zenon_H69 zenon_H76 zenon_Hf5 zenon_H4c zenon_H1f0 zenon_H1e zenon_H100 zenon_H1e6 zenon_H7e.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdb ].
% 9.95/10.19 exact (zenon_H28 zenon_H31).
% 9.95/10.19 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H6c | zenon_intro zenon_Hdc ].
% 9.95/10.19 apply (zenon_L18_); trivial.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H74 | zenon_intro zenon_Hbc ].
% 9.95/10.19 apply (zenon_L21_); trivial.
% 9.95/10.19 apply (zenon_L329_); trivial.
% 9.95/10.19 (* end of lemma zenon_L469_ *)
% 9.95/10.19 assert (zenon_L470_ : (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e3) (e2)) = (e0)) -> False).
% 9.95/10.19 do 0 intro. intros zenon_H10b zenon_H51 zenon_H106.
% 9.95/10.19 cut (((op (e0) (e2)) = (e0)) = ((op (e0) (e2)) = (op (e3) (e2)))).
% 9.95/10.19 intro zenon_D_pnotp.
% 9.95/10.19 apply zenon_H10b.
% 9.95/10.19 rewrite <- zenon_D_pnotp.
% 9.95/10.19 exact zenon_H51.
% 9.95/10.19 cut (((e0) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H210].
% 9.95/10.19 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H134].
% 9.95/10.19 congruence.
% 9.95/10.19 apply zenon_H134. apply refl_equal.
% 9.95/10.19 apply zenon_H210. apply sym_equal. exact zenon_H106.
% 9.95/10.19 (* end of lemma zenon_L470_ *)
% 9.95/10.19 assert (zenon_L471_ : ((op (e3) (e2)) = (e2)) -> ((op (e3) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 9.95/10.19 do 0 intro. intros zenon_H135 zenon_Hd6 zenon_Hec.
% 9.95/10.19 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_H10c | zenon_intro zenon_H10d ].
% 9.95/10.19 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (e3) (e1)) = (op (e3) (e2)))).
% 9.95/10.19 intro zenon_D_pnotp.
% 9.95/10.19 apply zenon_Hec.
% 9.95/10.19 rewrite <- zenon_D_pnotp.
% 9.95/10.19 exact zenon_H10c.
% 9.95/10.19 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H10d].
% 9.95/10.19 cut (((op (e3) (e2)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H211].
% 9.95/10.19 congruence.
% 9.95/10.19 cut (((op (e3) (e2)) = (e2)) = ((op (e3) (e2)) = (op (e3) (e1)))).
% 9.95/10.19 intro zenon_D_pnotp.
% 9.95/10.19 apply zenon_H211.
% 9.95/10.19 rewrite <- zenon_D_pnotp.
% 9.95/10.19 exact zenon_H135.
% 9.95/10.19 cut (((e2) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H209].
% 9.95/10.19 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H10d].
% 9.95/10.19 congruence.
% 9.95/10.19 apply zenon_H10d. apply refl_equal.
% 9.95/10.19 apply zenon_H209. apply sym_equal. exact zenon_Hd6.
% 9.95/10.19 apply zenon_H10d. apply refl_equal.
% 9.95/10.19 apply zenon_H10d. apply refl_equal.
% 9.95/10.19 (* end of lemma zenon_L471_ *)
% 9.95/10.19 assert (zenon_L472_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (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) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e1) (e0)) = (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) (e3)) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e3))) -> (~((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) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (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 (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False).
% 9.95/10.19 do 0 intro. intros zenon_H1de zenon_H69 zenon_H200 zenon_H25 zenon_H3c zenon_Hfd zenon_H144 zenon_H4c zenon_H10b zenon_Hb0 zenon_H181 zenon_H91 zenon_H12c zenon_Hc8 zenon_H17c zenon_H90 zenon_H1f8 zenon_H6f zenon_H155 zenon_H1e6 zenon_Hda zenon_H28 zenon_H198 zenon_Hf5 zenon_H1f0 zenon_H7e zenon_H56 zenon_H64 zenon_Hc1 zenon_H192 zenon_He8 zenon_H191 zenon_H128 zenon_H35 zenon_H95 zenon_H3a zenon_H1fb zenon_H97 zenon_Hd3 zenon_H187 zenon_H108 zenon_H1cb zenon_H100 zenon_H5e zenon_Hb1 zenon_H53 zenon_Hed.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H6c | zenon_intro zenon_H1df ].
% 9.95/10.19 apply (zenon_L18_); trivial.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H1e0 ].
% 9.95/10.19 exact (zenon_Hc1 zenon_Hc4).
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H161 | zenon_intro zenon_H188 ].
% 9.95/10.19 apply (zenon_L282_); trivial.
% 9.95/10.19 apply (zenon_L360_); trivial.
% 9.95/10.19 (* end of lemma zenon_L472_ *)
% 9.95/10.19 assert (zenon_L473_ : (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e2)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (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) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e1) (e0)) = (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) (e3)) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e3))) -> (~((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) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (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 (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e3))) -> False).
% 9.95/10.19 do 0 intro. intros zenon_H212 zenon_H51 zenon_Hec zenon_Hd6 zenon_H1de zenon_H69 zenon_H200 zenon_H25 zenon_H3c zenon_Hfd zenon_H144 zenon_H4c zenon_H10b zenon_Hb0 zenon_H181 zenon_H91 zenon_H12c zenon_Hc8 zenon_H17c zenon_H90 zenon_H1f8 zenon_H6f zenon_H155 zenon_H1e6 zenon_Hda zenon_H28 zenon_H198 zenon_Hf5 zenon_H1f0 zenon_H7e zenon_H56 zenon_H64 zenon_Hc1 zenon_H192 zenon_He8 zenon_H191 zenon_H128 zenon_H35 zenon_H95 zenon_H3a zenon_H1fb zenon_H97 zenon_Hd3 zenon_H187 zenon_H108 zenon_H1cb zenon_H100 zenon_H5e zenon_Hb1 zenon_H53.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H106 | zenon_intro zenon_H213 ].
% 9.95/10.19 apply (zenon_L470_); trivial.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H214 ].
% 9.95/10.19 apply (zenon_L328_); trivial.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H135 | zenon_intro zenon_Hed ].
% 9.95/10.19 apply (zenon_L471_); trivial.
% 9.95/10.19 apply (zenon_L472_); trivial.
% 9.95/10.19 (* end of lemma zenon_L473_ *)
% 9.95/10.19 assert (zenon_L474_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e1)) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e2)) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (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)) = (e1))) -> (~((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 (e3) (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 (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((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 (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (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)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((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)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 9.95/10.19 do 0 intro. intros zenon_H177 zenon_Hf0 zenon_H53 zenon_Hb1 zenon_H5e zenon_H100 zenon_H1cb zenon_H108 zenon_H187 zenon_Hd3 zenon_H97 zenon_H1fb zenon_H3a zenon_H95 zenon_H35 zenon_H128 zenon_H191 zenon_He8 zenon_H192 zenon_Hc1 zenon_H64 zenon_H56 zenon_H7e zenon_H1f0 zenon_Hf5 zenon_H198 zenon_H28 zenon_Hda zenon_H1e6 zenon_H155 zenon_H6f zenon_H1f8 zenon_H90 zenon_H17c zenon_H12c zenon_H181 zenon_Hb0 zenon_H10b zenon_H4c zenon_H144 zenon_Hfd zenon_H25 zenon_H200 zenon_H69 zenon_H1de zenon_Hec zenon_H212 zenon_Hc5 zenon_Hc8 zenon_H91 zenon_H51 zenon_H3c zenon_H152 zenon_H158 zenon_H7f.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H178 ].
% 9.95/10.19 apply (zenon_L211_); trivial.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H179 ].
% 9.95/10.19 apply (zenon_L473_); trivial.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H135 | zenon_intro zenon_H85 ].
% 9.95/10.19 apply (zenon_L367_); trivial.
% 9.95/10.19 exact (zenon_H7f zenon_H85).
% 9.95/10.19 (* end of lemma zenon_L474_ *)
% 9.95/10.19 assert (zenon_L475_ : (((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)) = (e1)) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 9.95/10.19 do 0 intro. intros zenon_Hda zenon_H28 zenon_H53 zenon_H69 zenon_H76 zenon_He7 zenon_H51 zenon_Hfd zenon_Hc1 zenon_H4b zenon_H192 zenon_He8 zenon_H191 zenon_Hf5 zenon_H4c zenon_H5e zenon_H100 zenon_H1e6 zenon_H7e.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdb ].
% 9.95/10.19 exact (zenon_H28 zenon_H31).
% 9.95/10.19 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H6c | zenon_intro zenon_Hdc ].
% 9.95/10.19 apply (zenon_L18_); trivial.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H74 | zenon_intro zenon_Hbc ].
% 9.95/10.19 apply (zenon_L21_); trivial.
% 9.95/10.19 apply (zenon_L365_); trivial.
% 9.95/10.19 (* end of lemma zenon_L475_ *)
% 9.95/10.19 assert (zenon_L476_ : (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> False).
% 9.95/10.19 do 0 intro. intros zenon_H212 zenon_H100 zenon_H1e6 zenon_Hc5 zenon_Hc8 zenon_H91 zenon_H51 zenon_H3c zenon_H152 zenon_H158 zenon_H52 zenon_H10b.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H106 | zenon_intro zenon_H213 ].
% 9.95/10.19 apply (zenon_L470_); trivial.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H214 ].
% 9.95/10.19 apply (zenon_L328_); trivial.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H135 | zenon_intro zenon_Hed ].
% 9.95/10.19 apply (zenon_L367_); trivial.
% 9.95/10.19 apply (zenon_L75_); trivial.
% 9.95/10.19 (* end of lemma zenon_L476_ *)
% 9.95/10.19 assert (zenon_L477_ : ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (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) (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))))) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e2)) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (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)) = (e1))) -> (~((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 (e3) (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 (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((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 (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (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)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((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)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 9.95/10.19 do 0 intro. intros zenon_H1ea zenon_H195 zenon_H1af zenon_H1b4 zenon_H159 zenon_He7 zenon_H177 zenon_H53 zenon_Hb1 zenon_H5e zenon_H100 zenon_H1cb zenon_H108 zenon_H187 zenon_Hd3 zenon_H97 zenon_H1fb zenon_H3a zenon_H95 zenon_H35 zenon_H128 zenon_H191 zenon_He8 zenon_H192 zenon_Hc1 zenon_H64 zenon_H56 zenon_H7e zenon_H1f0 zenon_Hf5 zenon_H198 zenon_H28 zenon_Hda zenon_H1e6 zenon_H155 zenon_H6f zenon_H1f8 zenon_H90 zenon_H17c zenon_H12c zenon_H181 zenon_Hb0 zenon_H10b zenon_H4c zenon_H144 zenon_Hfd zenon_H25 zenon_H200 zenon_H69 zenon_H1de zenon_Hec zenon_H212 zenon_Hc5 zenon_Hc8 zenon_H91 zenon_H51 zenon_H3c zenon_H152 zenon_H158 zenon_H7f.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 9.95/10.19 exact (zenon_H56 zenon_H2c).
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 9.95/10.19 exact (zenon_H56 zenon_H2c).
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 9.95/10.19 apply (zenon_L468_); trivial.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 9.95/10.19 apply (zenon_L469_); trivial.
% 9.95/10.19 apply (zenon_L474_); trivial.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 9.95/10.19 apply (zenon_L228_); trivial.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 9.95/10.19 exact (zenon_H56 zenon_H2c).
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 9.95/10.19 apply (zenon_L123_); trivial.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H31 | zenon_intro zenon_H98 ].
% 9.95/10.19 exact (zenon_H28 zenon_H31).
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ].
% 9.95/10.19 apply (zenon_L475_); trivial.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H52 | zenon_intro zenon_H57 ].
% 9.95/10.19 apply (zenon_L476_); trivial.
% 9.95/10.19 apply (zenon_L13_); trivial.
% 9.95/10.19 apply (zenon_L474_); trivial.
% 9.95/10.19 (* end of lemma zenon_L477_ *)
% 9.95/10.19 assert (zenon_L478_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((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))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e1)) = (e0))) -> (((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 (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (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 (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> False).
% 9.95/10.19 do 0 intro. intros zenon_Hf8 zenon_H56 zenon_H1b4 zenon_H35 zenon_H212 zenon_Hc1 zenon_H200 zenon_H1cb zenon_H108 zenon_H97 zenon_H187 zenon_Hb0 zenon_Hd3 zenon_H91 zenon_H5e zenon_H90 zenon_Hb1 zenon_He8 zenon_H64 zenon_H12c zenon_H17c zenon_Hc8 zenon_H181 zenon_H155 zenon_H1f8 zenon_H128 zenon_H1fb zenon_H95 zenon_Hfd zenon_H6f zenon_H3c zenon_H3a zenon_H144 zenon_H25 zenon_H1de zenon_Hec zenon_H51 zenon_H10b zenon_H158 zenon_H152 zenon_Hc5 zenon_H177 zenon_H28 zenon_H53 zenon_H4c zenon_Hf5 zenon_H7e zenon_H100 zenon_H1e6 zenon_H1f0 zenon_Hda zenon_H1af zenon_H198 zenon_H195 zenon_H69 zenon_H192 zenon_H191 zenon_H159 zenon_H1ea zenon_He7.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 9.95/10.19 apply (zenon_L477_); trivial.
% 9.95/10.19 apply (zenon_L472_); trivial.
% 9.95/10.19 (* end of lemma zenon_L478_ *)
% 9.95/10.19 assert (zenon_L479_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (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 (e1) (e0)) = (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) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((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)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((e2) = (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) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((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))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((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 (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) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 9.95/10.19 do 0 intro. intros zenon_Hd2 zenon_He7 zenon_H1ea zenon_H159 zenon_H191 zenon_H192 zenon_H69 zenon_H195 zenon_H198 zenon_H1af zenon_Hda zenon_H1f0 zenon_H1e6 zenon_H100 zenon_H7e zenon_Hf5 zenon_H4c zenon_H53 zenon_H28 zenon_H177 zenon_Hc5 zenon_H152 zenon_H158 zenon_H10b zenon_H51 zenon_Hec zenon_H1de zenon_H25 zenon_H144 zenon_H3a zenon_H3c zenon_H6f zenon_Hfd zenon_H95 zenon_H1fb zenon_H128 zenon_H1f8 zenon_H155 zenon_H181 zenon_H17c zenon_H12c zenon_H64 zenon_He8 zenon_Hb1 zenon_H90 zenon_H5e zenon_H91 zenon_Hd3 zenon_Hb0 zenon_H187 zenon_H97 zenon_H108 zenon_H1cb zenon_H200 zenon_Hc1 zenon_H212 zenon_H35 zenon_H1b4 zenon_H56 zenon_Hf8.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 9.95/10.19 apply (zenon_L478_); trivial.
% 9.95/10.19 apply (zenon_L354_); trivial.
% 9.95/10.19 (* end of lemma zenon_L479_ *)
% 9.95/10.19 assert (zenon_L480_ : ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((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))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e0))) -> (((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 (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (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 (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((~((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 (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> False).
% 9.95/10.19 do 0 intro. intros zenon_H156 zenon_Hc6 zenon_Hf8 zenon_H56 zenon_H1b4 zenon_H35 zenon_H212 zenon_Hc1 zenon_H200 zenon_H1cb zenon_H108 zenon_H97 zenon_H187 zenon_Hb0 zenon_Hd3 zenon_H91 zenon_H5e zenon_H90 zenon_He8 zenon_H64 zenon_H12c zenon_H17c zenon_H181 zenon_H155 zenon_H1f8 zenon_H128 zenon_H1fb zenon_H95 zenon_Hfd zenon_H6f zenon_H3c zenon_H3a zenon_H144 zenon_H25 zenon_H1de zenon_Hec zenon_H51 zenon_H10b zenon_H158 zenon_H152 zenon_Hc5 zenon_H177 zenon_H28 zenon_H53 zenon_H4c zenon_Hf5 zenon_H7e zenon_H100 zenon_H1e6 zenon_H1f0 zenon_Hda zenon_H1af zenon_H198 zenon_H195 zenon_H69 zenon_H192 zenon_H191 zenon_H159 zenon_H1ea zenon_He7 zenon_Hd2.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 9.95/10.19 apply (zenon_L479_); trivial.
% 9.95/10.19 apply (zenon_L321_); trivial.
% 9.95/10.19 (* end of lemma zenon_L480_ *)
% 9.95/10.19 assert (zenon_L481_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 9.95/10.19 do 0 intro. intros zenon_H90 zenon_H5e zenon_H73 zenon_Hd3 zenon_H1e zenon_H91 zenon_H17c zenon_H9a.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H76 | zenon_intro zenon_H92 ].
% 9.95/10.19 apply (zenon_L165_); trivial.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H77 | zenon_intro zenon_H93 ].
% 9.95/10.19 apply (zenon_L196_); trivial.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H94 | zenon_intro zenon_H8a ].
% 9.95/10.19 exact (zenon_H91 zenon_H94).
% 9.95/10.19 apply (zenon_L166_); trivial.
% 9.95/10.19 (* end of lemma zenon_L481_ *)
% 9.95/10.19 assert (zenon_L482_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e0)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 9.95/10.19 do 0 intro. intros zenon_H64 zenon_H56 zenon_H17c zenon_H91 zenon_Hd3 zenon_H73 zenon_H90 zenon_H5e zenon_H51 zenon_H9a zenon_H187.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 9.95/10.19 exact (zenon_H56 zenon_H2c).
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 9.95/10.19 apply (zenon_L481_); trivial.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 9.95/10.19 apply (zenon_L12_); trivial.
% 9.95/10.19 apply (zenon_L202_); trivial.
% 9.95/10.19 (* end of lemma zenon_L482_ *)
% 9.95/10.19 assert (zenon_L483_ : (((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 (e2) (e2)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 9.95/10.19 do 0 intro. intros zenon_H90 zenon_H4c zenon_H74 zenon_H78 zenon_H5e zenon_H91 zenon_H17c zenon_H9a.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H76 | zenon_intro zenon_H92 ].
% 9.95/10.19 apply (zenon_L21_); trivial.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H77 | zenon_intro zenon_H93 ].
% 9.95/10.19 apply (zenon_L22_); trivial.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H94 | zenon_intro zenon_H8a ].
% 9.95/10.19 exact (zenon_H91 zenon_H94).
% 9.95/10.19 apply (zenon_L166_); trivial.
% 9.95/10.19 (* end of lemma zenon_L483_ *)
% 9.95/10.19 assert (zenon_L484_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e3)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (~((e0) = (e1))) -> False).
% 9.95/10.19 do 0 intro. intros zenon_Hb0 zenon_H187 zenon_H51 zenon_H56 zenon_H64 zenon_H9a zenon_H17c zenon_Hb1 zenon_H90 zenon_H4c zenon_H74 zenon_Hd3 zenon_H1e zenon_H91 zenon_H5e.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hb5 ].
% 9.95/10.19 apply (zenon_L482_); trivial.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H78 | zenon_intro zenon_Hb6 ].
% 9.95/10.19 apply (zenon_L483_); trivial.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H89 ].
% 9.95/10.19 exact (zenon_Hb1 zenon_Hb7).
% 9.95/10.19 apply (zenon_L250_); trivial.
% 9.95/10.19 (* end of lemma zenon_L484_ *)
% 9.95/10.19 assert (zenon_L485_ : (((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)) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e1)) -> False).
% 9.95/10.19 do 0 intro. intros zenon_Hda zenon_H28 zenon_H53 zenon_H69 zenon_H5e zenon_H91 zenon_H1e zenon_Hd3 zenon_H90 zenon_Hb1 zenon_H17c zenon_H9a zenon_H64 zenon_H56 zenon_H51 zenon_H187 zenon_Hb0 zenon_H4c zenon_Hf0.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdb ].
% 9.95/10.19 exact (zenon_H28 zenon_H31).
% 9.95/10.19 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H6c | zenon_intro zenon_Hdc ].
% 9.95/10.19 apply (zenon_L18_); trivial.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H74 | zenon_intro zenon_Hbc ].
% 9.95/10.19 apply (zenon_L484_); trivial.
% 9.95/10.19 apply (zenon_L139_); trivial.
% 9.95/10.19 (* end of lemma zenon_L485_ *)
% 9.95/10.19 assert (zenon_L486_ : (~((e1) = (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)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> ((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 (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((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)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (((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) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 9.95/10.19 do 0 intro. intros zenon_H4c zenon_Hb0 zenon_H187 zenon_H56 zenon_H64 zenon_H9a zenon_H17c zenon_Hb1 zenon_H90 zenon_Hd3 zenon_H91 zenon_H69 zenon_H53 zenon_H28 zenon_Hda zenon_Hf5 zenon_H1f0 zenon_H100 zenon_H1e6 zenon_H7e zenon_H1ea zenon_H159 zenon_H191 zenon_H192 zenon_H195 zenon_H198 zenon_H1af zenon_H1b4 zenon_H5e zenon_H51 zenon_H7d zenon_H8d zenon_H7a zenon_H7f zenon_H80.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 9.95/10.19 exact (zenon_H56 zenon_H2c).
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 9.95/10.19 exact (zenon_H56 zenon_H2c).
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 9.95/10.19 apply (zenon_L468_); trivial.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 9.95/10.19 apply (zenon_L469_); trivial.
% 9.95/10.19 apply (zenon_L485_); trivial.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 9.95/10.19 apply (zenon_L12_); trivial.
% 9.95/10.19 apply (zenon_L87_); trivial.
% 9.95/10.19 (* end of lemma zenon_L486_ *)
% 9.95/10.19 assert (zenon_L487_ : (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> ((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))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 9.95/10.19 do 0 intro. intros zenon_He3 zenon_H84 zenon_Hb0 zenon_H56 zenon_H64 zenon_H17c zenon_Hb1 zenon_H90 zenon_H4c zenon_Hd3 zenon_H91 zenon_H69 zenon_H53 zenon_H28 zenon_Hda zenon_H5e zenon_H51 zenon_H9a zenon_H187.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 9.95/10.19 exact (zenon_H56 zenon_H2c).
% 9.95/10.19 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 9.95/10.19 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdb ].
% 9.95/10.19 exact (zenon_H28 zenon_H31).
% 9.95/10.19 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H6c | zenon_intro zenon_Hdc ].
% 9.95/10.19 apply (zenon_L18_); trivial.
% 9.95/10.19 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H74 | zenon_intro zenon_Hbc ].
% 9.95/10.19 apply (zenon_L484_); trivial.
% 9.95/10.20 apply (zenon_L266_); trivial.
% 9.95/10.20 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 9.95/10.20 apply (zenon_L12_); trivial.
% 9.95/10.20 apply (zenon_L202_); trivial.
% 9.95/10.20 (* end of lemma zenon_L487_ *)
% 9.95/10.20 assert (zenon_L488_ : ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> False).
% 9.95/10.20 do 0 intro. intros zenon_H156 zenon_H1b4 zenon_H192 zenon_H12c zenon_H205 zenon_H95 zenon_Hbb zenon_H1b1 zenon_H35 zenon_H198 zenon_Hce zenon_Hd2 zenon_H56 zenon_Hda zenon_H84 zenon_He3 zenon_H64 zenon_H187 zenon_H51 zenon_H5e zenon_Hd3 zenon_H91 zenon_H17c zenon_H9a zenon_H90 zenon_H4c zenon_Hb0 zenon_H69 zenon_H53 zenon_H28.
% 9.95/10.20 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 9.95/10.20 apply (zenon_L487_); trivial.
% 9.95/10.20 apply (zenon_L397_); trivial.
% 9.95/10.20 (* end of lemma zenon_L488_ *)
% 9.95/10.20 assert (zenon_L489_ : ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((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) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e0) (e0)) = (e1))) -> (((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) (e2)) = (e0))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((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 (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 9.95/10.20 do 0 intro. intros zenon_H18d zenon_He3 zenon_Hd2 zenon_Hce zenon_H35 zenon_H1b1 zenon_Hbb zenon_H95 zenon_H205 zenon_H12c zenon_H156 zenon_H56 zenon_H1b4 zenon_Hb0 zenon_Hb1 zenon_H90 zenon_H9a zenon_H17c zenon_H91 zenon_Hd3 zenon_H5e zenon_H51 zenon_H187 zenon_H64 zenon_H28 zenon_H53 zenon_H4c zenon_Hf5 zenon_H7e zenon_H100 zenon_H1e6 zenon_H1f0 zenon_Hda zenon_H1af zenon_H198 zenon_H195 zenon_H69 zenon_H192 zenon_H191 zenon_H159 zenon_H1ea zenon_H7d zenon_H7f zenon_H7a zenon_H8d.
% 9.95/10.20 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 9.95/10.20 apply (zenon_L486_); trivial.
% 9.95/10.20 apply (zenon_L488_); trivial.
% 9.95/10.20 (* end of lemma zenon_L489_ *)
% 9.95/10.20 assert (zenon_L490_ : (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> False).
% 9.95/10.20 do 0 intro. intros zenon_H1f8 zenon_H51 zenon_H6f zenon_H15a zenon_H159 zenon_H155 zenon_H3a zenon_Hed zenon_H1e6.
% 9.95/10.20 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H101 | zenon_intro zenon_H1f9 ].
% 9.95/10.20 apply (zenon_L348_); trivial.
% 9.95/10.20 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H100 | zenon_intro zenon_H1fa ].
% 9.95/10.20 apply (zenon_L123_); trivial.
% 9.95/10.20 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H6e | zenon_intro zenon_H161 ].
% 9.95/10.20 apply (zenon_L223_); trivial.
% 9.95/10.20 apply (zenon_L282_); trivial.
% 9.95/10.20 (* end of lemma zenon_L490_ *)
% 9.95/10.20 assert (zenon_L491_ : (~((e1) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e0) = (e1))) -> ((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 (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e3) (e3)) = (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) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 9.95/10.20 do 0 intro. intros zenon_H4c zenon_Hb0 zenon_H56 zenon_H64 zenon_H17c zenon_Hb1 zenon_H90 zenon_Hd3 zenon_H91 zenon_H5e zenon_H69 zenon_H53 zenon_H28 zenon_Hda zenon_Hf5 zenon_H1f0 zenon_H100 zenon_H7e zenon_H159 zenon_H1b4 zenon_H1e6 zenon_Hed zenon_H3a zenon_H155 zenon_H6f zenon_H51 zenon_H1f8 zenon_H9a zenon_H187.
% 9.95/10.20 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 9.95/10.20 exact (zenon_H56 zenon_H2c).
% 9.95/10.20 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 9.95/10.20 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 9.95/10.20 exact (zenon_H56 zenon_H2c).
% 9.95/10.20 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 9.95/10.20 apply (zenon_L490_); trivial.
% 9.95/10.20 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 9.95/10.20 apply (zenon_L469_); trivial.
% 9.95/10.20 apply (zenon_L485_); trivial.
% 9.95/10.20 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 9.95/10.20 apply (zenon_L349_); trivial.
% 9.95/10.20 apply (zenon_L202_); trivial.
% 9.95/10.20 (* end of lemma zenon_L491_ *)
% 9.95/10.20 assert (zenon_L492_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((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)) = (e1))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((e0) = (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 (e0) (e2)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (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) (e0)) = (e1))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> False).
% 9.95/10.20 do 0 intro. intros zenon_Hf8 zenon_H6f zenon_H155 zenon_H3a zenon_H1f8 zenon_H8d zenon_H7a zenon_H7d zenon_H1ea zenon_H159 zenon_H191 zenon_H192 zenon_H69 zenon_H195 zenon_H198 zenon_H1af zenon_Hda zenon_H1f0 zenon_H1e6 zenon_H100 zenon_H7e zenon_Hf5 zenon_H4c zenon_H53 zenon_H28 zenon_H64 zenon_H187 zenon_H51 zenon_H5e zenon_Hd3 zenon_H91 zenon_H17c zenon_H9a zenon_H90 zenon_Hb1 zenon_Hb0 zenon_H1b4 zenon_H56 zenon_H156 zenon_H12c zenon_H205 zenon_H95 zenon_Hbb zenon_H1b1 zenon_H35 zenon_Hce zenon_Hd2 zenon_He3 zenon_H18d.
% 9.95/10.20 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 9.95/10.20 apply (zenon_L489_); trivial.
% 9.95/10.20 apply (zenon_L491_); trivial.
% 9.95/10.20 (* end of lemma zenon_L492_ *)
% 9.95/10.20 assert (zenon_L493_ : (((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 (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (((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).
% 9.95/10.20 do 0 intro. intros zenon_H64 zenon_H56 zenon_H7e zenon_H1e6 zenon_H100 zenon_H1f0 zenon_H4c zenon_Hbc zenon_Hf5 zenon_H5e zenon_H51 zenon_H9a zenon_H187.
% 9.95/10.20 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 9.95/10.20 exact (zenon_H56 zenon_H2c).
% 9.95/10.20 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 9.95/10.20 apply (zenon_L329_); trivial.
% 9.95/10.20 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 9.95/10.20 apply (zenon_L12_); trivial.
% 9.95/10.20 apply (zenon_L202_); trivial.
% 9.95/10.20 (* end of lemma zenon_L493_ *)
% 9.95/10.20 assert (zenon_L494_ : (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e0)) = (e0))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e0)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (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 (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 (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 (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((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) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (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 (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((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)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((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)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (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 (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)) = (op (e2) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (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))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (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) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e0) = (e2))) -> False).
% 9.95/10.20 do 0 intro. intros zenon_H212 zenon_He8 zenon_H3a zenon_H25 zenon_H51 zenon_H28 zenon_H191 zenon_H192 zenon_H69 zenon_H195 zenon_He3 zenon_Hec zenon_H12c zenon_H1dd zenon_H1de zenon_H3c zenon_Hda zenon_H128 zenon_H8c zenon_Hb0 zenon_H97 zenon_H1e2 zenon_H18a zenon_H10b zenon_H1e6 zenon_H112 zenon_Hde zenon_Hab zenon_H16f zenon_H67 zenon_Hc6 zenon_H168 zenon_Hae zenon_H11d zenon_H144 zenon_H4a zenon_H204 zenon_H152 zenon_H114 zenon_H1ef zenon_H1f zenon_H1f0 zenon_Hf5 zenon_H177 zenon_H200 zenon_H1f8 zenon_H1fb zenon_Hfd zenon_H173 zenon_H18d zenon_H1b7 zenon_H7a zenon_H58 zenon_H56 zenon_H198 zenon_H6f zenon_H159 zenon_H35 zenon_H1b1 zenon_H16b zenon_H14d zenon_H157 zenon_H64 zenon_H187 zenon_H95 zenon_H4c zenon_H42 zenon_H181 zenon_H53 zenon_He7 zenon_Hc0 zenon_Hd3 zenon_Hd2 zenon_H1af zenon_Hdd zenon_Hce zenon_H1b4 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H150 zenon_H12f zenon_Hc5 zenon_H91 zenon_H155 zenon_H5e zenon_H145 zenon_H158 zenon_Hf8 zenon_H108 zenon_H1cb zenon_H103 zenon_H132 zenon_H86 zenon_H7e zenon_H7d zenon_H17c zenon_H90 zenon_H156 zenon_H16e zenon_H1ea zenon_H165 zenon_H17a zenon_Hbb zenon_H205 zenon_H18e zenon_H44.
% 9.95/10.20 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 9.95/10.20 apply (zenon_L466_); trivial.
% 9.95/10.20 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 9.95/10.20 apply (zenon_L480_); trivial.
% 9.95/10.20 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 9.95/10.20 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 9.95/10.20 apply (zenon_L492_); trivial.
% 9.95/10.20 apply (zenon_L493_); trivial.
% 9.95/10.20 apply (zenon_L435_); trivial.
% 9.95/10.20 (* end of lemma zenon_L494_ *)
% 9.95/10.20 assert (zenon_L495_ : ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e0)) = (e0))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e2) (e2)) = (e2)) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e0)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (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 (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 (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 (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((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) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (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 (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((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)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((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)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (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 (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)) = (op (e2) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (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))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (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) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e3) (e3)) = (e2))) -> False).
% 9.95/10.20 do 0 intro. intros zenon_H57 zenon_H25 zenon_H212 zenon_He8 zenon_H3a zenon_H51 zenon_H28 zenon_H191 zenon_H192 zenon_H195 zenon_He3 zenon_Hec zenon_H12c zenon_H1dd zenon_H1de zenon_H3c zenon_Hda zenon_H128 zenon_H8c zenon_Hb0 zenon_H97 zenon_H1e2 zenon_H18a zenon_H10b zenon_H1e6 zenon_H112 zenon_Hde zenon_Hab zenon_H16f zenon_H67 zenon_Hc6 zenon_H168 zenon_Hae zenon_H11d zenon_H144 zenon_H4a zenon_H204 zenon_H152 zenon_H114 zenon_H1ef zenon_H1f zenon_H1f0 zenon_Hf5 zenon_H177 zenon_H200 zenon_H1f8 zenon_H1fb zenon_Hfd zenon_H173 zenon_H18d zenon_H1b7 zenon_H7a zenon_H58 zenon_H56 zenon_H198 zenon_H6f zenon_H159 zenon_H35 zenon_H1b1 zenon_H16b zenon_H14d zenon_H157 zenon_H64 zenon_H187 zenon_H95 zenon_H4c zenon_H42 zenon_H181 zenon_H53 zenon_He7 zenon_Hc0 zenon_Hd3 zenon_Hd2 zenon_H1af zenon_Hdd zenon_Hce zenon_H1b4 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H150 zenon_H12f zenon_Hc5 zenon_H91 zenon_H155 zenon_H5e zenon_H145 zenon_H158 zenon_Hf8 zenon_H108 zenon_H1cb zenon_H103 zenon_H132 zenon_H86 zenon_H7e zenon_H7d zenon_H17c zenon_H90 zenon_H156 zenon_H16e zenon_H1ea zenon_H165 zenon_H17a zenon_Hbb zenon_H205 zenon_H18e zenon_H44 zenon_H9a zenon_H7f.
% 9.95/10.20 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 9.95/10.20 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 9.95/10.20 exact (zenon_H25 zenon_H2a).
% 9.95/10.20 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 9.95/10.20 apply (zenon_L494_); trivial.
% 9.95/10.20 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 9.95/10.20 apply (zenon_L482_); trivial.
% 9.95/10.20 apply (zenon_L56_); trivial.
% 9.95/10.20 apply (zenon_L68_); trivial.
% 9.95/10.20 (* end of lemma zenon_L495_ *)
% 9.95/10.20 assert (zenon_L496_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e1)) = (e0))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> False).
% 9.95/10.20 do 0 intro. intros zenon_H145 zenon_H53 zenon_H6c zenon_He8 zenon_H51 zenon_H6f zenon_H5e zenon_H9a.
% 9.95/10.20 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H69 | zenon_intro zenon_H146 ].
% 9.95/10.20 apply (zenon_L18_); trivial.
% 9.95/10.20 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Heb | zenon_intro zenon_H147 ].
% 9.95/10.20 exact (zenon_He8 zenon_Heb).
% 9.95/10.20 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H101 | zenon_intro zenon_H87 ].
% 9.95/10.20 apply (zenon_L348_); trivial.
% 9.95/10.20 apply (zenon_L192_); trivial.
% 9.95/10.20 (* end of lemma zenon_L496_ *)
% 9.95/10.20 assert (zenon_L497_ : (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 9.95/10.20 do 0 intro. intros zenon_H1dd zenon_Hb0 zenon_H56 zenon_H64 zenon_H17c zenon_Hb1 zenon_H90 zenon_H4c zenon_Hd3 zenon_H91 zenon_H5e zenon_H145 zenon_H53 zenon_He8 zenon_H28 zenon_Hda zenon_H1e6 zenon_Hed zenon_H3a zenon_H155 zenon_H6f zenon_H51 zenon_H1f8 zenon_H9a zenon_H187.
% 9.95/10.20 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 9.95/10.20 exact (zenon_H56 zenon_H2c).
% 9.95/10.20 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 9.95/10.20 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdb ].
% 9.95/10.20 exact (zenon_H28 zenon_H31).
% 9.95/10.20 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H6c | zenon_intro zenon_Hdc ].
% 9.95/10.20 apply (zenon_L496_); trivial.
% 9.95/10.20 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H74 | zenon_intro zenon_Hbc ].
% 9.95/10.20 apply (zenon_L484_); trivial.
% 9.95/10.20 apply (zenon_L267_); trivial.
% 9.95/10.20 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 9.95/10.20 apply (zenon_L349_); trivial.
% 9.95/10.20 apply (zenon_L202_); trivial.
% 9.95/10.20 (* end of lemma zenon_L497_ *)
% 9.95/10.20 assert (zenon_L498_ : (~((op (e2) (e2)) = (e0))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (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) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((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 (e1) (e3)) = (op (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 (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (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 (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((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 (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (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))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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 (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 (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (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) (e0)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((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 (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((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) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e1)) = (e0))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> ((op (e0) (e3)) = (e3)) -> False).
% 9.95/10.20 do 0 intro. intros zenon_Hb1 zenon_H9a zenon_H44 zenon_H18e zenon_H205 zenon_Hbb zenon_H17a zenon_H165 zenon_H1ea zenon_H16e zenon_H156 zenon_H90 zenon_H17c zenon_H7d zenon_H7e zenon_H86 zenon_H132 zenon_H103 zenon_H1cb zenon_H108 zenon_Hf8 zenon_H158 zenon_H145 zenon_H5e zenon_H155 zenon_H91 zenon_Hc5 zenon_H12f zenon_H150 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H1b4 zenon_Hce zenon_Hdd zenon_H1af zenon_Hd2 zenon_Hd3 zenon_Hc0 zenon_He7 zenon_H53 zenon_H181 zenon_H42 zenon_H4c zenon_H95 zenon_H187 zenon_H64 zenon_H157 zenon_H14d zenon_H16b zenon_H1b1 zenon_H35 zenon_H159 zenon_H6f zenon_H198 zenon_H56 zenon_H58 zenon_H7a zenon_H1b7 zenon_H18d zenon_H173 zenon_Hfd zenon_H1fb zenon_H1f8 zenon_H200 zenon_H177 zenon_Hf5 zenon_H1f0 zenon_H1f zenon_H1ef zenon_H114 zenon_H152 zenon_H204 zenon_H4a zenon_H144 zenon_H11d zenon_Hae zenon_H168 zenon_Hc6 zenon_H67 zenon_H16f zenon_Hab zenon_Hde zenon_H112 zenon_H1e6 zenon_H10b zenon_H18a zenon_H1e2 zenon_H97 zenon_Hb0 zenon_H8c zenon_H128 zenon_Hda zenon_H3c zenon_H1de zenon_H1dd zenon_H12c zenon_Hec zenon_He3 zenon_H195 zenon_H192 zenon_H191 zenon_H28 zenon_H51 zenon_H3a zenon_He8 zenon_H212 zenon_H25 zenon_H57.
% 9.95/10.20 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 9.95/10.20 apply (zenon_L495_); trivial.
% 9.95/10.20 apply (zenon_L497_); trivial.
% 9.95/10.20 (* end of lemma zenon_L498_ *)
% 9.95/10.20 assert (zenon_L499_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e3)) -> False).
% 9.95/10.20 do 0 intro. intros zenon_H12c zenon_H4c zenon_H76 zenon_H114 zenon_Hbd zenon_Hc8 zenon_H181 zenon_H57.
% 9.95/10.20 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H74 | zenon_intro zenon_H12d ].
% 9.95/10.20 apply (zenon_L21_); trivial.
% 9.95/10.20 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H12e ].
% 9.95/10.20 apply (zenon_L80_); trivial.
% 9.95/10.20 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hcd | zenon_intro zenon_H11f ].
% 9.95/10.20 exact (zenon_Hc8 zenon_Hcd).
% 9.95/10.20 cut (((op (e0) (e3)) = (e3)) = ((op (e0) (e3)) = (op (e2) (e3)))).
% 9.95/10.20 intro zenon_D_pnotp.
% 9.95/10.20 apply zenon_H181.
% 9.95/10.20 rewrite <- zenon_D_pnotp.
% 9.95/10.20 exact zenon_H57.
% 9.95/10.20 cut (((e3) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H215].
% 9.95/10.20 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H5a].
% 9.95/10.20 congruence.
% 9.95/10.20 apply zenon_H5a. apply refl_equal.
% 9.95/10.20 apply zenon_H215. apply sym_equal. exact zenon_H11f.
% 9.95/10.20 (* end of lemma zenon_L499_ *)
% 9.95/10.20 assert (zenon_L500_ : ((op (e2) (e2)) = (e2)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> False).
% 9.95/10.20 do 0 intro. intros zenon_H3a zenon_Hb8 zenon_H216.
% 9.95/10.20 elim (classic ((op (e2) (e2)) = (op (e2) (e2)))); [ zenon_intro zenon_H3d | zenon_intro zenon_H3e ].
% 9.95/10.20 cut (((op (e2) (e2)) = (op (e2) (e2))) = ((op (e2) (e1)) = (op (e2) (e2)))).
% 9.95/10.20 intro zenon_D_pnotp.
% 9.95/10.20 apply zenon_H216.
% 9.95/10.20 rewrite <- zenon_D_pnotp.
% 9.95/10.20 exact zenon_H3d.
% 9.95/10.20 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H3e].
% 9.95/10.20 cut (((op (e2) (e2)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H217].
% 9.95/10.20 congruence.
% 9.95/10.20 cut (((op (e2) (e2)) = (e2)) = ((op (e2) (e2)) = (op (e2) (e1)))).
% 9.95/10.20 intro zenon_D_pnotp.
% 9.95/10.20 apply zenon_H217.
% 9.95/10.20 rewrite <- zenon_D_pnotp.
% 9.95/10.20 exact zenon_H3a.
% 9.95/10.20 cut (((e2) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H113].
% 9.95/10.20 cut (((op (e2) (e2)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H3e].
% 9.95/10.20 congruence.
% 9.95/10.20 apply zenon_H3e. apply refl_equal.
% 9.95/10.20 apply zenon_H113. apply sym_equal. exact zenon_Hb8.
% 9.95/10.20 apply zenon_H3e. apply refl_equal.
% 9.95/10.20 apply zenon_H3e. apply refl_equal.
% 9.95/10.20 (* end of lemma zenon_L500_ *)
% 9.95/10.20 assert (zenon_L501_ : (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e0)) = (e0))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e2) (e2)) = (e2)) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e0)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (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 (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 (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 (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((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) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (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 (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((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)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((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)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (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 (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)) = (op (e2) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (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 (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (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) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e2)) = (e0))) -> False).
% 9.95/10.20 do 0 intro. intros zenon_H216 zenon_H151 zenon_H14a zenon_H174 zenon_H110 zenon_H118 zenon_H169 zenon_H57 zenon_H25 zenon_H212 zenon_He8 zenon_H3a zenon_H51 zenon_H28 zenon_H191 zenon_H192 zenon_H195 zenon_He3 zenon_Hec zenon_H12c zenon_H1dd zenon_H1de zenon_H3c zenon_Hda zenon_H128 zenon_H8c zenon_Hb0 zenon_H97 zenon_H1e2 zenon_H18a zenon_H10b zenon_H1e6 zenon_H112 zenon_Hde zenon_Hab zenon_H16f zenon_H67 zenon_Hc6 zenon_H168 zenon_Hae zenon_H11d zenon_H144 zenon_H4a zenon_H204 zenon_H152 zenon_H114 zenon_H1ef zenon_H1f zenon_H1f0 zenon_Hf5 zenon_H177 zenon_H200 zenon_H1f8 zenon_H1fb zenon_Hfd zenon_H173 zenon_H18d zenon_H1b7 zenon_H7a zenon_H58 zenon_H56 zenon_H198 zenon_H6f zenon_H159 zenon_H35 zenon_H1b1 zenon_H16b zenon_H14d zenon_H157 zenon_H64 zenon_H187 zenon_H95 zenon_H4c zenon_H42 zenon_H181 zenon_H53 zenon_He7 zenon_Hc0 zenon_Hd3 zenon_Hd2 zenon_H1af zenon_Hdd zenon_Hce zenon_H1b4 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H150 zenon_H12f zenon_Hc5 zenon_H155 zenon_H5e zenon_H145 zenon_H158 zenon_Hf8 zenon_H108 zenon_H1cb zenon_H103 zenon_H132 zenon_H86 zenon_H7d zenon_H17c zenon_H90 zenon_H156 zenon_H16e zenon_H1ea zenon_H165 zenon_H17a zenon_Hbb zenon_H205 zenon_H18e zenon_H44 zenon_H9a zenon_Hb1.
% 9.95/10.20 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 9.95/10.20 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 9.95/10.20 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 9.95/10.20 apply (zenon_L498_); trivial.
% 9.95/10.20 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 9.95/10.20 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 9.95/10.20 exact (zenon_H25 zenon_H2a).
% 9.95/10.20 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 9.95/10.20 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 9.95/10.20 exact (zenon_H56 zenon_H2c).
% 9.95/10.20 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 9.95/10.20 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 9.95/10.20 exact (zenon_H56 zenon_H2c).
% 9.95/10.20 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 9.95/10.20 apply (zenon_L194_); trivial.
% 9.95/10.20 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 9.95/10.20 apply (zenon_L499_); trivial.
% 9.95/10.20 apply (zenon_L485_); trivial.
% 9.95/10.20 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 9.95/10.20 apply (zenon_L12_); trivial.
% 9.95/10.20 apply (zenon_L202_); trivial.
% 9.95/10.20 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 9.95/10.20 apply (zenon_L482_); trivial.
% 9.95/10.20 apply (zenon_L160_); trivial.
% 9.95/10.20 apply (zenon_L161_); trivial.
% 9.95/10.20 apply (zenon_L354_); trivial.
% 9.95/10.20 apply (zenon_L500_); trivial.
% 9.95/10.20 (* end of lemma zenon_L501_ *)
% 9.95/10.20 assert (zenon_L502_ : ((op (e2) (e3)) = (e1)) -> ((op (e3) (e3)) = (e2)) -> (~((e1) = (op (op (e3) (e3)) (e3)))) -> False).
% 9.95/10.20 do 0 intro. intros zenon_H8a zenon_H85 zenon_H1d5.
% 9.95/10.20 elim (classic ((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Haa ].
% 9.95/10.20 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3))) = ((e1) = (op (op (e3) (e3)) (e3)))).
% 9.95/10.20 intro zenon_D_pnotp.
% 9.95/10.20 apply zenon_H1d5.
% 9.95/10.20 rewrite <- zenon_D_pnotp.
% 9.95/10.20 exact zenon_Ha9.
% 9.95/10.20 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Haa].
% 9.95/10.20 cut (((op (op (e3) (e3)) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H1d8].
% 9.95/10.20 congruence.
% 9.95/10.20 cut (((op (e2) (e3)) = (e1)) = ((op (op (e3) (e3)) (e3)) = (e1))).
% 9.95/10.20 intro zenon_D_pnotp.
% 9.95/10.20 apply zenon_H1d8.
% 9.95/10.20 rewrite <- zenon_D_pnotp.
% 9.95/10.20 exact zenon_H8a.
% 9.95/10.20 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 9.95/10.20 cut (((op (e2) (e3)) = (op (op (e3) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1ff].
% 9.95/10.20 congruence.
% 9.95/10.20 elim (classic ((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Haa ].
% 9.95/10.20 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3))) = ((op (e2) (e3)) = (op (op (e3) (e3)) (e3)))).
% 9.95/10.20 intro zenon_D_pnotp.
% 9.95/10.20 apply zenon_H1ff.
% 9.95/10.20 rewrite <- zenon_D_pnotp.
% 9.95/10.20 exact zenon_Ha9.
% 9.95/10.20 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Haa].
% 9.95/10.20 cut (((op (op (e3) (e3)) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1fc].
% 9.95/10.20 congruence.
% 9.95/10.20 apply (zenon_L355_); trivial.
% 9.95/10.20 apply zenon_Haa. apply refl_equal.
% 9.95/10.20 apply zenon_Haa. apply refl_equal.
% 9.95/10.20 apply zenon_H33. apply refl_equal.
% 9.95/10.20 apply zenon_Haa. apply refl_equal.
% 9.95/10.20 apply zenon_Haa. apply refl_equal.
% 9.95/10.20 (* end of lemma zenon_L502_ *)
% 9.95/10.20 assert (zenon_L503_ : ((op (e1) (e3)) = (e0)) -> ((op (e2) (e3)) = (e1)) -> ((op (e3) (e3)) = (e2)) -> False).
% 9.95/10.20 do 0 intro. intros zenon_H87 zenon_H8a zenon_H85.
% 9.95/10.20 apply (zenon_notand_s _ _ ax18); [ zenon_intro zenon_H1fe | zenon_intro zenon_H218 ].
% 9.95/10.20 apply zenon_H1fe. apply sym_equal. exact zenon_H85.
% 9.95/10.20 apply (zenon_notand_s _ _ zenon_H218); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H1d5 ].
% 9.95/10.20 elim (classic ((op (op (op (e3) (e3)) (e3)) (e3)) = (op (op (op (e3) (e3)) (e3)) (e3)))); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Ha3 ].
% 9.95/10.20 cut (((op (op (op (e3) (e3)) (e3)) (e3)) = (op (op (op (e3) (e3)) (e3)) (e3))) = ((e0) = (op (op (op (e3) (e3)) (e3)) (e3)))).
% 9.95/10.20 intro zenon_D_pnotp.
% 9.95/10.20 apply zenon_Ha1.
% 9.95/10.20 rewrite <- zenon_D_pnotp.
% 9.95/10.20 exact zenon_Ha2.
% 9.95/10.20 cut (((op (op (op (e3) (e3)) (e3)) (e3)) = (op (op (op (e3) (e3)) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Ha3].
% 9.95/10.20 cut (((op (op (op (e3) (e3)) (e3)) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Ha4].
% 9.95/10.20 congruence.
% 9.95/10.20 cut (((op (e1) (e3)) = (e0)) = ((op (op (op (e3) (e3)) (e3)) (e3)) = (e0))).
% 9.95/10.20 intro zenon_D_pnotp.
% 9.95/10.20 apply zenon_Ha4.
% 9.95/10.20 rewrite <- zenon_D_pnotp.
% 9.95/10.20 exact zenon_H87.
% 9.95/10.20 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H41].
% 9.95/10.20 cut (((op (e1) (e3)) = (op (op (op (e3) (e3)) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1d6].
% 9.95/10.20 congruence.
% 9.95/10.20 elim (classic ((op (op (op (e3) (e3)) (e3)) (e3)) = (op (op (op (e3) (e3)) (e3)) (e3)))); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Ha3 ].
% 9.95/10.20 cut (((op (op (op (e3) (e3)) (e3)) (e3)) = (op (op (op (e3) (e3)) (e3)) (e3))) = ((op (e1) (e3)) = (op (op (op (e3) (e3)) (e3)) (e3)))).
% 9.95/10.20 intro zenon_D_pnotp.
% 9.95/10.20 apply zenon_H1d6.
% 9.95/10.20 rewrite <- zenon_D_pnotp.
% 9.95/10.20 exact zenon_Ha2.
% 9.95/10.20 cut (((op (op (op (e3) (e3)) (e3)) (e3)) = (op (op (op (e3) (e3)) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Ha3].
% 9.95/10.20 cut (((op (op (op (e3) (e3)) (e3)) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1d7].
% 9.95/10.20 congruence.
% 9.95/10.20 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 9.95/10.20 cut (((op (op (e3) (e3)) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H1d8].
% 9.95/10.20 congruence.
% 9.95/10.20 cut (((op (e2) (e3)) = (e1)) = ((op (op (e3) (e3)) (e3)) = (e1))).
% 9.95/10.20 intro zenon_D_pnotp.
% 9.95/10.20 apply zenon_H1d8.
% 9.95/10.20 rewrite <- zenon_D_pnotp.
% 9.95/10.20 exact zenon_H8a.
% 9.95/10.20 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 9.95/10.20 cut (((op (e2) (e3)) = (op (op (e3) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1ff].
% 9.95/10.20 congruence.
% 9.95/10.20 elim (classic ((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Haa ].
% 9.95/10.20 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3))) = ((op (e2) (e3)) = (op (op (e3) (e3)) (e3)))).
% 9.95/10.20 intro zenon_D_pnotp.
% 9.95/10.20 apply zenon_H1ff.
% 9.95/10.20 rewrite <- zenon_D_pnotp.
% 9.95/10.20 exact zenon_Ha9.
% 9.95/10.20 cut (((op (op (e3) (e3)) (e3)) = (op (op (e3) (e3)) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Haa].
% 10.04/10.20 cut (((op (op (e3) (e3)) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1fc].
% 10.04/10.20 congruence.
% 10.04/10.20 apply (zenon_L355_); trivial.
% 10.04/10.20 apply zenon_Haa. apply refl_equal.
% 10.04/10.20 apply zenon_Haa. apply refl_equal.
% 10.04/10.20 apply zenon_H33. apply refl_equal.
% 10.04/10.20 apply zenon_H4e. apply refl_equal.
% 10.04/10.20 apply zenon_Ha3. apply refl_equal.
% 10.04/10.20 apply zenon_Ha3. apply refl_equal.
% 10.04/10.20 apply zenon_H41. apply refl_equal.
% 10.04/10.20 apply zenon_Ha3. apply refl_equal.
% 10.04/10.20 apply zenon_Ha3. apply refl_equal.
% 10.04/10.20 apply (zenon_L502_); trivial.
% 10.04/10.20 (* end of lemma zenon_L503_ *)
% 10.04/10.20 assert (zenon_L504_ : (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e0)) -> ((op (e2) (e3)) = (e1)) -> False).
% 10.04/10.20 do 0 intro. intros zenon_H128 zenon_H95 zenon_H57 zenon_H44 zenon_H3a zenon_H1fb zenon_H87 zenon_H8a.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H47 | zenon_intro zenon_H129 ].
% 10.04/10.20 apply (zenon_L54_); trivial.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H9b | zenon_intro zenon_H12a ].
% 10.04/10.20 apply (zenon_L92_); trivial.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H85 ].
% 10.04/10.20 apply (zenon_L354_); trivial.
% 10.04/10.20 apply (zenon_L503_); trivial.
% 10.04/10.20 (* end of lemma zenon_L504_ *)
% 10.04/10.20 assert (zenon_L505_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e1)) = (e0))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> False).
% 10.04/10.20 do 0 intro. intros zenon_H145 zenon_H53 zenon_H6c zenon_He8 zenon_H51 zenon_H6f zenon_H90 zenon_H5e zenon_H73 zenon_Hd3 zenon_H1e zenon_H91 zenon_H128 zenon_H95 zenon_H57 zenon_H44 zenon_H3a zenon_H1fb.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H69 | zenon_intro zenon_H146 ].
% 10.04/10.20 apply (zenon_L18_); trivial.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Heb | zenon_intro zenon_H147 ].
% 10.04/10.20 exact (zenon_He8 zenon_Heb).
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H101 | zenon_intro zenon_H87 ].
% 10.04/10.20 apply (zenon_L348_); trivial.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H76 | zenon_intro zenon_H92 ].
% 10.04/10.20 apply (zenon_L165_); trivial.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H77 | zenon_intro zenon_H93 ].
% 10.04/10.20 apply (zenon_L196_); trivial.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H94 | zenon_intro zenon_H8a ].
% 10.04/10.20 exact (zenon_H91 zenon_H94).
% 10.04/10.20 apply (zenon_L504_); trivial.
% 10.04/10.20 (* end of lemma zenon_L505_ *)
% 10.04/10.20 assert (zenon_L506_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e2)) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e3)) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e1))) -> (((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)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e1)) -> False).
% 10.04/10.20 do 0 intro. intros zenon_Hda zenon_H28 zenon_H1fb zenon_H3a zenon_H44 zenon_H57 zenon_H95 zenon_H128 zenon_H91 zenon_H1e zenon_Hd3 zenon_H5e zenon_H90 zenon_H6f zenon_H51 zenon_He8 zenon_H145 zenon_H53 zenon_H73 zenon_H4c zenon_Hf0.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdb ].
% 10.04/10.20 exact (zenon_H28 zenon_H31).
% 10.04/10.20 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H6c | zenon_intro zenon_Hdc ].
% 10.04/10.20 apply (zenon_L505_); trivial.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H74 | zenon_intro zenon_Hbc ].
% 10.04/10.20 apply (zenon_L20_); trivial.
% 10.04/10.20 apply (zenon_L139_); trivial.
% 10.04/10.20 (* end of lemma zenon_L506_ *)
% 10.04/10.20 assert (zenon_L507_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e2)) = (op (e1) (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) (e2)) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> ((op (e0) (e3)) = (e3)) -> (~((e1) = (e3))) -> False).
% 10.04/10.20 do 0 intro. intros zenon_H64 zenon_H73 zenon_H53 zenon_H145 zenon_He8 zenon_H6f zenon_H90 zenon_Hd3 zenon_H91 zenon_H128 zenon_H95 zenon_H44 zenon_H3a zenon_H1fb zenon_H28 zenon_Hda zenon_H159 zenon_H100 zenon_H56 zenon_H1b4 zenon_H5e zenon_H51 zenon_H57 zenon_H4c.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.04/10.20 exact (zenon_H56 zenon_H2c).
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 10.04/10.20 exact (zenon_H56 zenon_H2c).
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 10.04/10.20 apply (zenon_L123_); trivial.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 10.04/10.20 apply (zenon_L165_); trivial.
% 10.04/10.20 apply (zenon_L506_); trivial.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.04/10.20 apply (zenon_L12_); trivial.
% 10.04/10.20 apply (zenon_L13_); trivial.
% 10.04/10.20 (* end of lemma zenon_L507_ *)
% 10.04/10.20 assert (zenon_L508_ : (((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)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 10.04/10.20 do 0 intro. intros zenon_Hf5 zenon_H5e zenon_He4 zenon_H1f0 zenon_H1e zenon_H100 zenon_H1e6 zenon_H7e.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hf6 ].
% 10.04/10.20 apply (zenon_L62_); trivial.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hf7 ].
% 10.04/10.20 apply (zenon_L327_); trivial.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H83 ].
% 10.04/10.20 apply (zenon_L328_); trivial.
% 10.04/10.20 exact (zenon_H7e zenon_H83).
% 10.04/10.20 (* end of lemma zenon_L508_ *)
% 10.04/10.20 assert (zenon_L509_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> False).
% 10.04/10.20 do 0 intro. intros zenon_H108 zenon_H68 zenon_Hfd zenon_H100 zenon_H5e zenon_Hb1 zenon_H1dd zenon_He4.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H51 | zenon_intro zenon_H109 ].
% 10.04/10.20 apply (zenon_L69_); trivial.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H101 | zenon_intro zenon_H10a ].
% 10.04/10.20 apply (zenon_L71_); trivial.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H106 ].
% 10.04/10.20 exact (zenon_Hb1 zenon_Hb7).
% 10.04/10.20 apply (zenon_L442_); trivial.
% 10.04/10.20 (* end of lemma zenon_L509_ *)
% 10.04/10.20 assert (zenon_L510_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> False).
% 10.04/10.20 do 0 intro. intros zenon_He7 zenon_H1dd zenon_Hb1 zenon_H5e zenon_H100 zenon_Hfd zenon_H108 zenon_Hc1 zenon_H4b zenon_H192 zenon_He8 zenon_H191 zenon_Hbb zenon_He4.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H68 | zenon_intro zenon_He9 ].
% 10.04/10.20 apply (zenon_L509_); trivial.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Heb | zenon_intro zenon_Hea ].
% 10.04/10.20 exact (zenon_He8 zenon_Heb).
% 10.04/10.20 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H78 | zenon_intro zenon_He5 ].
% 10.04/10.20 apply (zenon_L335_); trivial.
% 10.04/10.20 apply (zenon_L58_); trivial.
% 10.04/10.20 (* end of lemma zenon_L510_ *)
% 10.04/10.20 assert (zenon_L511_ : (((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 (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))))) -> ((op (e0) (e2)) = (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) (e0)) = (op (e3) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> False).
% 10.04/10.20 do 0 intro. intros zenon_H64 zenon_H56 zenon_H7e zenon_H1e6 zenon_H1f0 zenon_Hf5 zenon_H51 zenon_H97 zenon_H28 zenon_He4 zenon_Hbb zenon_H191 zenon_He8 zenon_H192 zenon_Hc1 zenon_H108 zenon_Hfd zenon_H100 zenon_H5e zenon_Hb1 zenon_H1dd zenon_He7 zenon_H10b zenon_Hed zenon_H4c.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.04/10.20 exact (zenon_H56 zenon_H2c).
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.04/10.20 apply (zenon_L508_); trivial.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.04/10.20 apply (zenon_L12_); trivial.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H31 | zenon_intro zenon_H98 ].
% 10.04/10.20 exact (zenon_H28 zenon_H31).
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ].
% 10.04/10.20 apply (zenon_L510_); trivial.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H52 | zenon_intro zenon_H57 ].
% 10.04/10.20 apply (zenon_L75_); trivial.
% 10.04/10.20 apply (zenon_L13_); trivial.
% 10.04/10.20 (* end of lemma zenon_L511_ *)
% 10.04/10.20 assert (zenon_L512_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> False).
% 10.04/10.20 do 0 intro. intros zenon_Hf8 zenon_H56 zenon_Hf5 zenon_H100 zenon_H1e6 zenon_H1f0 zenon_H5e zenon_H51 zenon_H97 zenon_H4c zenon_H10b zenon_H108 zenon_H1dd zenon_Hb1 zenon_Hfd zenon_He8 zenon_H191 zenon_Hc1 zenon_H192 zenon_Hbb zenon_He7 zenon_H28 zenon_H64 zenon_He3 zenon_He4 zenon_H7e zenon_H80 zenon_H7d.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.04/10.20 apply (zenon_L56_); trivial.
% 10.04/10.20 apply (zenon_L511_); trivial.
% 10.04/10.20 (* end of lemma zenon_L512_ *)
% 10.04/10.20 assert (zenon_L513_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (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))))) -> (~((e0) = (e1))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 10.04/10.20 do 0 intro. intros zenon_H1b4 zenon_H56 zenon_H100 zenon_H159 zenon_H57 zenon_H181 zenon_Hc8 zenon_H114 zenon_H4c zenon_H12c zenon_H14d zenon_H5e zenon_H53 zenon_H7f zenon_H44 zenon_H95 zenon_Hbd zenon_H35 zenon_H177 zenon_H8d.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 10.04/10.20 exact (zenon_H56 zenon_H2c).
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 10.04/10.20 apply (zenon_L123_); trivial.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 10.04/10.20 apply (zenon_L499_); trivial.
% 10.04/10.20 apply (zenon_L340_); trivial.
% 10.04/10.20 (* end of lemma zenon_L513_ *)
% 10.04/10.20 assert (zenon_L514_ : ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e3) (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 (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e0) (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 (e1) (e0)) = (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) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((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)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((e2) = (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) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((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))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((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 (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) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> False).
% 10.04/10.20 do 0 intro. intros zenon_H157 zenon_H216 zenon_H151 zenon_H8d zenon_H14d zenon_H114 zenon_H18e zenon_H7d zenon_He3 zenon_Hbb zenon_H1dd zenon_H145 zenon_H44 zenon_H57 zenon_He7 zenon_H1ea zenon_H159 zenon_H191 zenon_H192 zenon_H195 zenon_H198 zenon_H1af zenon_Hda zenon_H1f0 zenon_H1e6 zenon_H100 zenon_Hf5 zenon_H4c zenon_H53 zenon_H28 zenon_H177 zenon_Hc5 zenon_H152 zenon_H158 zenon_H10b zenon_H51 zenon_Hec zenon_H1de zenon_H144 zenon_H3a zenon_H3c zenon_H6f zenon_Hfd zenon_H95 zenon_H1fb zenon_H128 zenon_H1f8 zenon_H155 zenon_H181 zenon_H17c zenon_H12c zenon_H64 zenon_He8 zenon_Hb1 zenon_H90 zenon_H5e zenon_Hd3 zenon_Hb0 zenon_H187 zenon_H97 zenon_H108 zenon_H1cb zenon_H200 zenon_Hc1 zenon_H212 zenon_H35 zenon_H1b4 zenon_H56 zenon_Hf8 zenon_H25 zenon_H7a zenon_H18d zenon_Hd2.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.04/10.20 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 10.04/10.20 exact (zenon_H25 zenon_H2a).
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 10.04/10.20 apply (zenon_L478_); trivial.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 10.04/10.20 apply (zenon_L507_); trivial.
% 10.04/10.20 apply (zenon_L512_); trivial.
% 10.04/10.20 apply (zenon_L68_); trivial.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.04/10.20 apply (zenon_L513_); trivial.
% 10.04/10.20 apply (zenon_L60_); trivial.
% 10.04/10.20 apply (zenon_L354_); trivial.
% 10.04/10.20 apply (zenon_L500_); trivial.
% 10.04/10.20 (* end of lemma zenon_L514_ *)
% 10.04/10.20 assert (zenon_L515_ : (((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 (e1) (e2)) = (e1)) -> (~((op (e0) (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 (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 10.04/10.20 do 0 intro. intros zenon_H64 zenon_H56 zenon_H7e zenon_H100 zenon_H1f0 zenon_He4 zenon_H5e zenon_Hf5 zenon_H1e6 zenon_Hed zenon_H3a zenon_H155 zenon_H6f zenon_H51 zenon_H1f8 zenon_H9a zenon_H187.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.04/10.20 exact (zenon_H56 zenon_H2c).
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.04/10.20 apply (zenon_L508_); trivial.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.04/10.20 apply (zenon_L349_); trivial.
% 10.04/10.20 apply (zenon_L202_); trivial.
% 10.04/10.20 (* end of lemma zenon_L515_ *)
% 10.04/10.20 assert (zenon_L516_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (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)) = (e1))) -> (((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) (e2)) = (e0))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((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 (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> ((op (e0) (e3)) = (e3)) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> False).
% 10.04/10.20 do 0 intro. intros zenon_Hf8 zenon_H1f8 zenon_H3a zenon_H155 zenon_H6f zenon_H18e zenon_He3 zenon_H56 zenon_H1b4 zenon_Hb0 zenon_Hb1 zenon_H90 zenon_H9a zenon_H17c zenon_H91 zenon_Hd3 zenon_H5e zenon_H51 zenon_H187 zenon_H64 zenon_H28 zenon_H53 zenon_H4c zenon_Hf5 zenon_H7e zenon_H100 zenon_H1e6 zenon_H1f0 zenon_Hda zenon_H1af zenon_H198 zenon_H195 zenon_H192 zenon_H191 zenon_H159 zenon_H1ea zenon_H7d zenon_H7a zenon_H8d zenon_H25 zenon_H57 zenon_H18d.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 10.04/10.20 exact (zenon_H25 zenon_H2a).
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 10.04/10.20 apply (zenon_L486_); trivial.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 10.04/10.20 apply (zenon_L482_); trivial.
% 10.04/10.20 apply (zenon_L56_); trivial.
% 10.04/10.20 apply (zenon_L68_); trivial.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 10.04/10.20 exact (zenon_H25 zenon_H2a).
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 10.04/10.20 apply (zenon_L491_); trivial.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 10.04/10.20 apply (zenon_L482_); trivial.
% 10.04/10.20 apply (zenon_L515_); trivial.
% 10.04/10.20 (* end of lemma zenon_L516_ *)
% 10.04/10.20 assert (zenon_L517_ : (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e3) (e1)) = (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) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (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)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((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)) = (e3)) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((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)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((e0) = (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 (e0) (e2)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (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) (e0)) = (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) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> False).
% 10.04/10.20 do 0 intro. intros zenon_H216 zenon_H17a zenon_H12c zenon_H181 zenon_H114 zenon_Hec zenon_H44 zenon_H95 zenon_H173 zenon_H16e zenon_H169 zenon_H1f zenon_H16b zenon_H16f zenon_H118 zenon_H110 zenon_Hfd zenon_H174 zenon_H156 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_H12f zenon_H144 zenon_H10b zenon_H3c zenon_Hc5 zenon_H132 zenon_H86 zenon_H145 zenon_H14d zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H165 zenon_H108 zenon_H35 zenon_H103 zenon_H168 zenon_H177 zenon_H18d zenon_H57 zenon_H25 zenon_H8d zenon_H7a zenon_H7d zenon_H1ea zenon_H159 zenon_H191 zenon_H192 zenon_H195 zenon_H198 zenon_H1af zenon_Hda zenon_H1f0 zenon_H1e6 zenon_H100 zenon_Hf5 zenon_H4c zenon_H53 zenon_H28 zenon_H64 zenon_H187 zenon_H51 zenon_H5e zenon_Hd3 zenon_H17c zenon_H9a zenon_H90 zenon_Hb1 zenon_Hb0 zenon_H1b4 zenon_H56 zenon_He3 zenon_H18e zenon_H6f zenon_H155 zenon_H3a zenon_H1f8 zenon_Hf8 zenon_H1fb zenon_Hd2.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.04/10.20 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.04/10.20 apply (zenon_L516_); trivial.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 10.04/10.20 exact (zenon_H25 zenon_H2a).
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.04/10.20 exact (zenon_H56 zenon_H2c).
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 10.04/10.20 exact (zenon_H56 zenon_H2c).
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 10.04/10.20 apply (zenon_L123_); trivial.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 10.04/10.20 apply (zenon_L499_); trivial.
% 10.04/10.20 apply (zenon_L485_); trivial.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.04/10.20 apply (zenon_L228_); trivial.
% 10.04/10.20 apply (zenon_L87_); trivial.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 10.04/10.20 apply (zenon_L482_); trivial.
% 10.04/10.20 apply (zenon_L160_); trivial.
% 10.04/10.20 apply (zenon_L161_); trivial.
% 10.04/10.20 apply (zenon_L60_); trivial.
% 10.04/10.20 apply (zenon_L354_); trivial.
% 10.04/10.20 apply (zenon_L500_); trivial.
% 10.04/10.20 (* end of lemma zenon_L517_ *)
% 10.04/10.20 assert (zenon_L518_ : ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e3)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> False).
% 10.04/10.20 do 0 intro. intros zenon_H67 zenon_Hfd zenon_H44 zenon_H68 zenon_H3c zenon_H3a zenon_H95 zenon_H57 zenon_H42.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.04/10.20 apply (zenon_L178_); trivial.
% 10.04/10.20 apply (zenon_L69_); trivial.
% 10.04/10.20 (* end of lemma zenon_L518_ *)
% 10.04/10.20 assert (zenon_L519_ : (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (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) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((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 (e1) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (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 (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((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 (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (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))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((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)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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 (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 (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (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) (e0)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((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 (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((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) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 10.04/10.20 do 0 intro. intros zenon_H184 zenon_H11b zenon_Hb1 zenon_H44 zenon_H18e zenon_H205 zenon_Hbb zenon_H17a zenon_H165 zenon_H1ea zenon_H16e zenon_H156 zenon_H90 zenon_H17c zenon_H7d zenon_H86 zenon_H132 zenon_H103 zenon_H1cb zenon_H108 zenon_Hf8 zenon_H158 zenon_H145 zenon_H5e zenon_H155 zenon_Hc5 zenon_H12f zenon_H150 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H1b4 zenon_Hce zenon_Hdd zenon_H1af zenon_Hd2 zenon_Hd3 zenon_Hc0 zenon_He7 zenon_H53 zenon_H181 zenon_H42 zenon_H4c zenon_H95 zenon_H187 zenon_H64 zenon_H157 zenon_H14d zenon_H16b zenon_H1b1 zenon_H35 zenon_H159 zenon_H6f zenon_H198 zenon_H1b7 zenon_H18d zenon_H173 zenon_Hfd zenon_H1fb zenon_H1f8 zenon_H200 zenon_H177 zenon_Hf5 zenon_H1f0 zenon_H1f zenon_H1ef zenon_H114 zenon_H152 zenon_H204 zenon_H4a zenon_H144 zenon_H11d zenon_Hae zenon_H168 zenon_Hc6 zenon_H67 zenon_H16f zenon_Hab zenon_Hde zenon_H112 zenon_H1e6 zenon_H10b zenon_H18a zenon_H1e2 zenon_H97 zenon_Hb0 zenon_H8c zenon_H128 zenon_Hda zenon_H3c zenon_H1de zenon_H1dd zenon_H12c zenon_Hec zenon_He3 zenon_H195 zenon_H212 zenon_H169 zenon_H118 zenon_H110 zenon_H174 zenon_H14a zenon_H151 zenon_H216 zenon_He8 zenon_H191 zenon_H8d zenon_H25 zenon_H58 zenon_H24 zenon_H57 zenon_H7a.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.04/10.20 exact (zenon_H25 zenon_H2a).
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.04/10.20 apply (zenon_L15_); trivial.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.04/10.20 apply (zenon_L189_); trivial.
% 10.04/10.20 apply (zenon_L88_); trivial.
% 10.04/10.20 apply (zenon_L149_); trivial.
% 10.04/10.20 apply (zenon_L85_); trivial.
% 10.04/10.20 apply (zenon_L69_); trivial.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.04/10.20 apply (zenon_L11_); trivial.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.04/10.20 apply (zenon_L190_); trivial.
% 10.04/10.20 apply (zenon_L501_); trivial.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.04/10.20 apply (zenon_L514_); trivial.
% 10.04/10.20 apply (zenon_L517_); trivial.
% 10.04/10.20 apply (zenon_L14_); trivial.
% 10.04/10.20 apply (zenon_L343_); trivial.
% 10.04/10.20 apply (zenon_L518_); trivial.
% 10.04/10.20 apply (zenon_L68_); trivial.
% 10.04/10.20 (* end of lemma zenon_L519_ *)
% 10.04/10.20 assert (zenon_L520_ : (~((op (e0) (e0)) = (e3))) -> ((op (e0) (e1)) = (e1)) -> ((op (e0) (e2)) = (e0)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (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) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((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 (e1) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (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 (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((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 (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (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))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((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)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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 (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 (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (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) (e0)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((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 (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((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) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> False).
% 10.04/10.20 do 0 intro. intros zenon_H28 zenon_H1e zenon_H51 zenon_H184 zenon_H11b zenon_Hb1 zenon_H44 zenon_H18e zenon_H205 zenon_Hbb zenon_H17a zenon_H165 zenon_H1ea zenon_H16e zenon_H156 zenon_H90 zenon_H17c zenon_H7d zenon_H86 zenon_H132 zenon_H103 zenon_H1cb zenon_H108 zenon_Hf8 zenon_H158 zenon_H145 zenon_H5e zenon_H155 zenon_Hc5 zenon_H12f zenon_H150 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H1b4 zenon_Hce zenon_Hdd zenon_H1af zenon_Hd2 zenon_Hd3 zenon_Hc0 zenon_He7 zenon_H53 zenon_H181 zenon_H42 zenon_H4c zenon_H95 zenon_H187 zenon_H64 zenon_H157 zenon_H14d zenon_H16b zenon_H1b1 zenon_H35 zenon_H159 zenon_H6f zenon_H198 zenon_H1b7 zenon_H18d zenon_H173 zenon_Hfd zenon_H1fb zenon_H1f8 zenon_H200 zenon_H177 zenon_Hf5 zenon_H1f0 zenon_H1f zenon_H1ef zenon_H114 zenon_H152 zenon_H204 zenon_H4a zenon_H144 zenon_H11d zenon_Hae zenon_H168 zenon_Hc6 zenon_H67 zenon_H16f zenon_Hab zenon_Hde zenon_H112 zenon_H1e6 zenon_H10b zenon_H18a zenon_H1e2 zenon_H97 zenon_Hb0 zenon_H8c zenon_H128 zenon_Hda zenon_H3c zenon_H1de zenon_H1dd zenon_H12c zenon_Hec zenon_He3 zenon_H195 zenon_H212 zenon_H169 zenon_H118 zenon_H110 zenon_H174 zenon_H14a zenon_H151 zenon_H216 zenon_He8 zenon_H191 zenon_H8d zenon_H25 zenon_H58 zenon_H24 zenon_H7a.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H31 | zenon_intro zenon_H98 ].
% 10.04/10.20 exact (zenon_H28 zenon_H31).
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ].
% 10.04/10.20 apply (zenon_L9_); trivial.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H52 | zenon_intro zenon_H57 ].
% 10.04/10.20 apply (zenon_L10_); trivial.
% 10.04/10.20 apply (zenon_L519_); trivial.
% 10.04/10.20 (* end of lemma zenon_L520_ *)
% 10.04/10.20 assert (zenon_L521_ : (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (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 (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((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 (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((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 (e1) (e3)) = (op (e2) (e3)))) -> (~((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)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (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 (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 (e1) (e1)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((e0) = (e2))) -> (((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 (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 (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (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)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (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) (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) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (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 (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((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)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (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 (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 (e2) (e0)) = (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 (e3) (e1)) = (op (e3) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> False).
% 10.04/10.20 do 0 intro. intros zenon_H4c zenon_H1e zenon_H53 zenon_H51 zenon_H205 zenon_H1cb zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H1b4 zenon_H1b1 zenon_H198 zenon_H1b7 zenon_H1fb zenon_H1f8 zenon_H200 zenon_H1f0 zenon_H1ef zenon_H204 zenon_H1e6 zenon_H1e2 zenon_H1de zenon_H1dd zenon_H195 zenon_H212 zenon_H216 zenon_H191 zenon_H67 zenon_H1f zenon_H5e zenon_H64 zenon_H58 zenon_H24 zenon_H1ea zenon_H18a zenon_H187 zenon_H184 zenon_H17c zenon_H181 zenon_H108 zenon_H103 zenon_Hfd zenon_H10b zenon_H18e zenon_He3 zenon_Hf5 zenon_He7 zenon_He8 zenon_Hec zenon_Hf8 zenon_H44 zenon_Hdd zenon_Hae zenon_H90 zenon_H7d zenon_H7a zenon_H86 zenon_H8d zenon_H8c zenon_Hb1 zenon_Hab zenon_H35 zenon_H95 zenon_H97 zenon_Hb0 zenon_H6f zenon_Hde zenon_Hd3 zenon_Hc5 zenon_Hc6 zenon_Hce zenon_Hd2 zenon_Hbb zenon_Hc0 zenon_Hda zenon_H42 zenon_H18d zenon_H177 zenon_H168 zenon_H159 zenon_H165 zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H14d zenon_H145 zenon_H132 zenon_H3c zenon_H144 zenon_H12f zenon_H150 zenon_H157 zenon_H155 zenon_H156 zenon_H174 zenon_H16f zenon_H16b zenon_H169 zenon_H16e zenon_H173 zenon_H11d zenon_H128 zenon_H11b zenon_H12c zenon_H110 zenon_H112 zenon_H114 zenon_H118 zenon_H17a zenon_H1af zenon_H4a zenon_H25.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.04/10.20 apply (zenon_L520_); trivial.
% 10.04/10.20 apply (zenon_L343_); trivial.
% 10.04/10.20 (* end of lemma zenon_L521_ *)
% 10.04/10.20 assert (zenon_L522_ : ((op (e1) (e2)) = (e1)) -> ((op (e1) (e2)) = (e3)) -> (~((e1) = (e3))) -> False).
% 10.04/10.20 do 0 intro. intros zenon_H100 zenon_H161 zenon_H4c.
% 10.04/10.20 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H4d | zenon_intro zenon_H4e ].
% 10.04/10.20 cut (((e3) = (e3)) = ((e1) = (e3))).
% 10.04/10.20 intro zenon_D_pnotp.
% 10.04/10.20 apply zenon_H4c.
% 10.04/10.20 rewrite <- zenon_D_pnotp.
% 10.04/10.20 exact zenon_H4d.
% 10.04/10.20 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4e].
% 10.04/10.20 cut (((e3) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4f].
% 10.04/10.20 congruence.
% 10.04/10.20 cut (((op (e1) (e2)) = (e1)) = ((e3) = (e1))).
% 10.04/10.20 intro zenon_D_pnotp.
% 10.04/10.20 apply zenon_H4f.
% 10.04/10.20 rewrite <- zenon_D_pnotp.
% 10.04/10.20 exact zenon_H100.
% 10.04/10.20 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 10.04/10.20 cut (((op (e1) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H1cd].
% 10.04/10.20 congruence.
% 10.04/10.20 exact (zenon_H1cd zenon_H161).
% 10.04/10.20 apply zenon_H33. apply refl_equal.
% 10.04/10.20 apply zenon_H4e. apply refl_equal.
% 10.04/10.20 apply zenon_H4e. apply refl_equal.
% 10.04/10.20 (* end of lemma zenon_L522_ *)
% 10.04/10.20 assert (zenon_L523_ : (((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)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 10.04/10.20 do 0 intro. intros zenon_H1de zenon_H53 zenon_H69 zenon_Hc1 zenon_H4c zenon_H100 zenon_H84 zenon_H86.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H6c | zenon_intro zenon_H1df ].
% 10.04/10.20 apply (zenon_L18_); trivial.
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H1e0 ].
% 10.04/10.20 exact (zenon_Hc1 zenon_Hc4).
% 10.04/10.20 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H161 | zenon_intro zenon_H188 ].
% 10.04/10.20 apply (zenon_L522_); trivial.
% 10.04/10.20 apply (zenon_L252_); trivial.
% 10.04/10.20 (* end of lemma zenon_L523_ *)
% 10.04/10.20 assert (zenon_L524_ : (((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)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 10.04/10.21 do 0 intro. intros zenon_Hdd zenon_H27 zenon_H44 zenon_H69 zenon_H76 zenon_Hf5 zenon_H35 zenon_H1f0 zenon_H1e zenon_H100 zenon_H1e6 zenon_H7e.
% 10.04/10.21 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hdf ].
% 10.04/10.21 exact (zenon_H27 zenon_H32).
% 10.04/10.21 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H6a | zenon_intro zenon_He0 ].
% 10.04/10.21 apply (zenon_L17_); trivial.
% 10.04/10.21 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd8 ].
% 10.04/10.21 apply (zenon_L47_); trivial.
% 10.04/10.21 apply (zenon_L420_); trivial.
% 10.04/10.21 (* end of lemma zenon_L524_ *)
% 10.04/10.21 assert (zenon_L525_ : (((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 (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> False).
% 10.04/10.21 do 0 intro. intros zenon_Hdd zenon_H27 zenon_H44 zenon_H69 zenon_H9a zenon_H17c zenon_H91 zenon_H1e zenon_Hd3 zenon_H90 zenon_Hf0 zenon_H35.
% 10.04/10.21 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hdf ].
% 10.04/10.21 exact (zenon_H27 zenon_H32).
% 10.04/10.21 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H6a | zenon_intro zenon_He0 ].
% 10.04/10.21 apply (zenon_L17_); trivial.
% 10.04/10.21 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd8 ].
% 10.04/10.21 apply (zenon_L234_); trivial.
% 10.04/10.21 apply (zenon_L211_); trivial.
% 10.04/10.21 (* end of lemma zenon_L525_ *)
% 10.04/10.21 assert (zenon_L526_ : (((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 (e3) (e3)) = (e1))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (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 (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> False).
% 10.04/10.21 do 0 intro. intros zenon_H1b4 zenon_H56 zenon_H198 zenon_H7e zenon_H1e6 zenon_H100 zenon_H1f0 zenon_Hf5 zenon_Hdd zenon_H27 zenon_H44 zenon_H69 zenon_H9a zenon_H17c zenon_H91 zenon_H1e zenon_Hd3 zenon_H90 zenon_H35.
% 10.04/10.21 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 10.04/10.21 exact (zenon_H56 zenon_H2c).
% 10.04/10.21 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 10.04/10.21 apply (zenon_L194_); trivial.
% 10.04/10.21 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 10.04/10.21 apply (zenon_L524_); trivial.
% 10.04/10.21 apply (zenon_L525_); trivial.
% 10.04/10.21 (* end of lemma zenon_L526_ *)
% 10.04/10.21 assert (zenon_L527_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e1) = (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) (e2)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((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 (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> (~((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 (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 10.04/10.21 do 0 intro. intros zenon_H64 zenon_H35 zenon_H90 zenon_Hd3 zenon_H91 zenon_H17c zenon_H69 zenon_H44 zenon_H27 zenon_Hdd zenon_Hf5 zenon_H1f0 zenon_H100 zenon_H1e6 zenon_H7e zenon_H198 zenon_H56 zenon_H1b4 zenon_Hc8 zenon_Hc7 zenon_H3c zenon_Hb1 zenon_Hc5 zenon_H9a zenon_H187.
% 10.04/10.21 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.04/10.21 exact (zenon_H56 zenon_H2c).
% 10.04/10.21 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.04/10.21 apply (zenon_L526_); trivial.
% 10.04/10.21 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.04/10.21 apply (zenon_L103_); trivial.
% 10.04/10.21 apply (zenon_L202_); trivial.
% 10.04/10.21 (* end of lemma zenon_L527_ *)
% 10.04/10.21 assert (zenon_L528_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e1) = (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) (e2)) = (e1))) -> ((op (e1) (e3)) = (e1)) -> ((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 (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 (e3) (e3)) = (e1))) -> (~((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) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 10.04/10.21 do 0 intro. intros zenon_H64 zenon_H35 zenon_H90 zenon_Hd3 zenon_H91 zenon_H9a zenon_H69 zenon_H44 zenon_H27 zenon_Hdd zenon_Hf5 zenon_H1f0 zenon_H1e6 zenon_H7e zenon_H198 zenon_H56 zenon_H1b4 zenon_H6f zenon_H100 zenon_H18a zenon_H43 zenon_H187 zenon_H17c zenon_Hd0 zenon_H84 zenon_H86.
% 10.04/10.21 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.04/10.21 exact (zenon_H56 zenon_H2c).
% 10.04/10.21 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.04/10.21 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 10.04/10.21 exact (zenon_H56 zenon_H2c).
% 10.04/10.21 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 10.04/10.21 apply (zenon_L426_); trivial.
% 10.04/10.21 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 10.04/10.21 apply (zenon_L524_); trivial.
% 10.04/10.21 apply (zenon_L525_); trivial.
% 10.04/10.21 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.04/10.21 apply (zenon_L228_); trivial.
% 10.04/10.21 apply (zenon_L411_); trivial.
% 10.04/10.21 (* end of lemma zenon_L528_ *)
% 10.04/10.21 assert (zenon_L529_ : (((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 (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (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 (e2) (e2)) = (e1))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> False).
% 10.04/10.21 do 0 intro. intros zenon_Hdd zenon_H27 zenon_H44 zenon_H69 zenon_H7d zenon_H7f zenon_H7e zenon_H43 zenon_H7a zenon_H86 zenon_H18d zenon_H187 zenon_H47 zenon_H17c zenon_H18a zenon_H91 zenon_H1e zenon_Hd3 zenon_H90 zenon_Hf0 zenon_H35.
% 10.04/10.21 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hdf ].
% 10.04/10.21 exact (zenon_H27 zenon_H32).
% 10.04/10.21 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H6a | zenon_intro zenon_He0 ].
% 10.04/10.21 apply (zenon_L17_); trivial.
% 10.04/10.21 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd8 ].
% 10.04/10.21 apply (zenon_L414_); trivial.
% 10.04/10.21 apply (zenon_L211_); trivial.
% 10.04/10.21 (* end of lemma zenon_L529_ *)
% 10.04/10.21 assert (zenon_L530_ : (((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) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (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 (e2) (e2)) = (e1))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> False).
% 10.04/10.21 do 0 intro. intros zenon_H1b4 zenon_H56 zenon_H9a zenon_H198 zenon_H1e6 zenon_H100 zenon_H1f0 zenon_Hf5 zenon_H42 zenon_H3c zenon_H3a zenon_Hdd zenon_H27 zenon_H44 zenon_H69 zenon_H7d zenon_H7f zenon_H7e zenon_H43 zenon_H7a zenon_H86 zenon_H18d zenon_H187 zenon_H17c zenon_H18a zenon_H91 zenon_H1e zenon_Hd3 zenon_H90 zenon_H35.
% 10.04/10.21 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 10.04/10.21 exact (zenon_H56 zenon_H2c).
% 10.04/10.21 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 10.04/10.21 apply (zenon_L194_); trivial.
% 10.04/10.21 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 10.04/10.21 apply (zenon_L524_); trivial.
% 10.04/10.21 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 10.04/10.21 exact (zenon_H27 zenon_H32).
% 10.04/10.21 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 10.04/10.21 apply (zenon_L4_); trivial.
% 10.04/10.21 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 10.04/10.21 apply (zenon_L5_); trivial.
% 10.04/10.21 apply (zenon_L529_); trivial.
% 10.04/10.21 (* end of lemma zenon_L530_ *)
% 10.04/10.21 assert (zenon_L531_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e1) = (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) (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 (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (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))))) -> ((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) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((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) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((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) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 10.04/10.21 do 0 intro. intros zenon_H64 zenon_H35 zenon_H90 zenon_Hd3 zenon_H91 zenon_H18a zenon_H17c zenon_H18d zenon_H86 zenon_H7a zenon_H43 zenon_H7e zenon_H7f zenon_H7d zenon_H69 zenon_H44 zenon_H27 zenon_Hdd zenon_H3a zenon_H3c zenon_H42 zenon_Hf5 zenon_H1f0 zenon_H1e6 zenon_H198 zenon_H56 zenon_H1b4 zenon_H6f zenon_H100 zenon_H9a zenon_H187.
% 10.04/10.21 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.04/10.21 exact (zenon_H56 zenon_H2c).
% 10.04/10.21 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.04/10.21 apply (zenon_L530_); trivial.
% 10.04/10.21 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.04/10.21 apply (zenon_L228_); trivial.
% 10.04/10.21 apply (zenon_L202_); trivial.
% 10.04/10.21 (* end of lemma zenon_L531_ *)
% 10.04/10.21 assert (zenon_L532_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (((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 (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((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))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> False).
% 10.04/10.21 do 0 intro. intros zenon_Hf8 zenon_H1cb zenon_H5e zenon_Hb1 zenon_H53 zenon_H108 zenon_H56 zenon_H1b4 zenon_H3c zenon_H3a zenon_Hd3 zenon_H91 zenon_H18a zenon_H7d zenon_H7a zenon_H86 zenon_H18d zenon_H17c zenon_H43 zenon_H187 zenon_H90 zenon_H42 zenon_H27 zenon_H44 zenon_H69 zenon_H35 zenon_Hf5 zenon_H7e zenon_H100 zenon_H1e6 zenon_H1f0 zenon_Hdd zenon_H9a zenon_H198 zenon_H6f zenon_H64.
% 10.04/10.21 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.04/10.21 apply (zenon_L531_); trivial.
% 10.04/10.21 apply (zenon_L359_); trivial.
% 10.04/10.21 (* end of lemma zenon_L532_ *)
% 10.04/10.21 assert (zenon_L533_ : ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (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) (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))) -> (~((e0) = (e1))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (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)) = (e0))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((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 (e0) (e0)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> False).
% 10.04/10.21 do 0 intro. intros zenon_H158 zenon_H42 zenon_H18d zenon_H7a zenon_H7d zenon_H108 zenon_H53 zenon_H5e zenon_H1cb zenon_Hf8 zenon_H64 zenon_H187 zenon_Hb1 zenon_H3c zenon_Hc5 zenon_H198 zenon_H9a zenon_Hdd zenon_H1f0 zenon_H1e6 zenon_H100 zenon_H7e zenon_Hf5 zenon_H35 zenon_H69 zenon_H44 zenon_H27 zenon_Hd3 zenon_H91 zenon_H17c zenon_H90 zenon_H1b4 zenon_H56 zenon_H6f zenon_H18a zenon_H84 zenon_H86 zenon_H43 zenon_Hd2.
% 10.04/10.21 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.04/10.21 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.04/10.21 apply (zenon_L527_); trivial.
% 10.04/10.21 apply (zenon_L528_); trivial.
% 10.04/10.21 apply (zenon_L532_); trivial.
% 10.04/10.21 (* end of lemma zenon_L533_ *)
% 10.04/10.21 assert (zenon_L534_ : ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e0)) = (op (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) (e3)) = (op (e1) (e3)))) -> (((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 (e0) (e3)))) -> (~((e0) = (e1))) -> (~((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 (e0) (e3)) = (op (e3) (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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> False).
% 10.04/10.21 do 0 intro. intros zenon_H156 zenon_Hd2 zenon_H43 zenon_H86 zenon_H84 zenon_H18a zenon_H6f zenon_H56 zenon_H1b4 zenon_H90 zenon_H17c zenon_H91 zenon_Hd3 zenon_H27 zenon_H44 zenon_H69 zenon_H35 zenon_Hf5 zenon_H7e zenon_H100 zenon_H1e6 zenon_H1f0 zenon_Hdd zenon_H9a zenon_H198 zenon_Hc5 zenon_H3c zenon_H187 zenon_H64 zenon_Hf8 zenon_H1cb zenon_H5e zenon_H53 zenon_H108 zenon_H7d zenon_H7a zenon_H18d zenon_H42 zenon_H158.
% 10.04/10.21 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.04/10.21 apply (zenon_L533_); trivial.
% 10.04/10.21 apply (zenon_L235_); trivial.
% 10.04/10.21 (* end of lemma zenon_L534_ *)
% 10.04/10.21 assert (zenon_L535_ : ((op (e3) (e3)) = (e3)) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e0)) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (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 (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 (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 (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((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) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (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 (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((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)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((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)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (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 (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)) = (op (e2) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (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))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (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) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e0) = (e2))) -> False).
% 10.04/10.21 do 0 intro. intros zenon_H84 zenon_H43 zenon_H27 zenon_H191 zenon_H192 zenon_H69 zenon_H195 zenon_He3 zenon_Hec zenon_H12c zenon_H1dd zenon_H1de zenon_H3c zenon_Hda zenon_H128 zenon_H8c zenon_Hb0 zenon_H97 zenon_H1e2 zenon_H18a zenon_H10b zenon_H1e6 zenon_H112 zenon_Hde zenon_Hab zenon_H16f zenon_H67 zenon_Hc6 zenon_H168 zenon_Hae zenon_H11d zenon_H144 zenon_H4a zenon_H204 zenon_H152 zenon_H114 zenon_H1ef zenon_H1f zenon_H1f0 zenon_Hf5 zenon_H177 zenon_H200 zenon_H1f8 zenon_H1fb zenon_Hfd zenon_H173 zenon_H18d zenon_H1b7 zenon_H7a zenon_H58 zenon_H56 zenon_H198 zenon_H6f zenon_H159 zenon_H35 zenon_H1b1 zenon_H16b zenon_H14d zenon_H157 zenon_H64 zenon_H187 zenon_H95 zenon_H4c zenon_H42 zenon_H181 zenon_H53 zenon_He7 zenon_Hc0 zenon_Hd3 zenon_Hd2 zenon_H1af zenon_Hdd zenon_Hce zenon_H1b4 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H150 zenon_H12f zenon_Hc5 zenon_H91 zenon_H155 zenon_H5e zenon_H145 zenon_H158 zenon_Hf8 zenon_H108 zenon_H1cb zenon_H103 zenon_H132 zenon_H86 zenon_H7e zenon_H7d zenon_H17c zenon_H90 zenon_H156 zenon_H16e zenon_H1ea zenon_H165 zenon_H17a zenon_Hbb zenon_H205 zenon_H18e zenon_H44.
% 10.04/10.21 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.04/10.21 apply (zenon_L466_); trivial.
% 10.04/10.21 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.04/10.21 apply (zenon_L523_); trivial.
% 10.04/10.21 apply (zenon_L534_); trivial.
% 10.04/10.21 (* end of lemma zenon_L535_ *)
% 10.04/10.21 assert (zenon_L536_ : (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (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) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((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 (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (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 (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((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 (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (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))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((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)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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 (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 (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (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) (e0)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((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 (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((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) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (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).
% 10.04/10.21 do 0 intro. intros zenon_H44 zenon_H18e zenon_H205 zenon_Hbb zenon_H17a zenon_H165 zenon_H1ea zenon_H16e zenon_H156 zenon_H90 zenon_H17c zenon_H86 zenon_H132 zenon_H103 zenon_H1cb zenon_H108 zenon_Hf8 zenon_H158 zenon_H145 zenon_H5e zenon_H155 zenon_H91 zenon_Hc5 zenon_H12f zenon_H150 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H1b4 zenon_Hce zenon_Hdd zenon_H1af zenon_Hd2 zenon_Hd3 zenon_Hc0 zenon_He7 zenon_H53 zenon_H181 zenon_H42 zenon_H4c zenon_H95 zenon_H187 zenon_H64 zenon_H157 zenon_H14d zenon_H16b zenon_H1b1 zenon_H35 zenon_H159 zenon_H6f zenon_H198 zenon_H56 zenon_H58 zenon_H1b7 zenon_H18d zenon_H173 zenon_Hfd zenon_H1fb zenon_H1f8 zenon_H200 zenon_H177 zenon_Hf5 zenon_H1f0 zenon_H1f zenon_H1ef zenon_H114 zenon_H152 zenon_H204 zenon_H4a zenon_H144 zenon_H11d zenon_Hae zenon_H168 zenon_Hc6 zenon_H67 zenon_H16f zenon_Hab zenon_Hde zenon_H112 zenon_H1e6 zenon_H10b zenon_H18a zenon_H1e2 zenon_H97 zenon_Hb0 zenon_H8c zenon_H128 zenon_Hda zenon_H3c zenon_H1de zenon_H1dd zenon_H12c zenon_Hec zenon_He3 zenon_H195 zenon_H69 zenon_H192 zenon_H191 zenon_H27 zenon_H7a zenon_H43 zenon_H7e zenon_H7f zenon_H7d.
% 10.04/10.21 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.04/10.21 apply (zenon_L24_); trivial.
% 10.04/10.21 apply (zenon_L535_); trivial.
% 10.04/10.21 (* end of lemma zenon_L536_ *)
% 10.04/10.21 assert (zenon_L537_ : (((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 (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (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) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 10.04/10.21 do 0 intro. intros zenon_H64 zenon_H56 zenon_H7e zenon_H1e6 zenon_H1f0 zenon_He4 zenon_H5e zenon_Hf5 zenon_H6f zenon_H100 zenon_H9a zenon_H187.
% 10.04/10.21 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.04/10.21 exact (zenon_H56 zenon_H2c).
% 10.04/10.21 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.04/10.21 apply (zenon_L508_); trivial.
% 10.04/10.21 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.04/10.21 apply (zenon_L228_); trivial.
% 10.04/10.21 apply (zenon_L202_); trivial.
% 10.04/10.21 (* end of lemma zenon_L537_ *)
% 10.04/10.21 assert (zenon_L538_ : (((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 (e2) (e2)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 10.04/10.21 do 0 intro. intros zenon_H90 zenon_H5e zenon_H73 zenon_H4c zenon_Hb9 zenon_H91 zenon_H17c zenon_H9a.
% 10.04/10.21 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H76 | zenon_intro zenon_H92 ].
% 10.04/10.21 apply (zenon_L165_); trivial.
% 10.04/10.21 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H77 | zenon_intro zenon_H93 ].
% 10.04/10.21 apply (zenon_L48_); trivial.
% 10.04/10.21 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H94 | zenon_intro zenon_H8a ].
% 10.04/10.21 exact (zenon_H91 zenon_H94).
% 10.04/10.21 apply (zenon_L166_); trivial.
% 10.04/10.21 (* end of lemma zenon_L538_ *)
% 10.04/10.21 assert (zenon_L539_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e0))) -> (((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)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (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))))) -> (~((e0) = (e3))) -> False).
% 10.04/10.21 do 0 intro. intros zenon_He7 zenon_H44 zenon_He8 zenon_Hc0 zenon_H95 zenon_H34 zenon_H9a zenon_H17c zenon_H91 zenon_H4c zenon_H73 zenon_H5e zenon_H90 zenon_H53.
% 10.04/10.21 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H68 | zenon_intro zenon_He9 ].
% 10.04/10.21 apply (zenon_L16_); trivial.
% 10.04/10.21 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Heb | zenon_intro zenon_Hea ].
% 10.04/10.21 exact (zenon_He8 zenon_Heb).
% 10.04/10.21 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H78 | zenon_intro zenon_He5 ].
% 10.04/10.21 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H76 | zenon_intro zenon_H92 ].
% 10.04/10.21 apply (zenon_L165_); trivial.
% 10.04/10.21 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H77 | zenon_intro zenon_H93 ].
% 10.04/10.21 apply (zenon_L22_); trivial.
% 10.04/10.21 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H94 | zenon_intro zenon_H8a ].
% 10.04/10.21 exact (zenon_H91 zenon_H94).
% 10.04/10.21 apply (zenon_L166_); trivial.
% 10.04/10.21 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H4b | zenon_intro zenon_Hc2 ].
% 10.04/10.21 apply (zenon_L184_); trivial.
% 10.04/10.21 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc3 ].
% 10.04/10.21 apply (zenon_L199_); trivial.
% 10.04/10.21 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hbd ].
% 10.04/10.21 apply (zenon_L538_); trivial.
% 10.04/10.21 apply (zenon_L112_); trivial.
% 10.04/10.21 (* end of lemma zenon_L539_ *)
% 10.04/10.21 assert (zenon_L540_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e3))) -> (((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) (e2)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 10.04/10.21 do 0 intro. intros zenon_H42 zenon_H27 zenon_H53 zenon_H90 zenon_H5e zenon_H73 zenon_H4c zenon_H91 zenon_H17c zenon_H9a zenon_H95 zenon_Hc0 zenon_He8 zenon_H44 zenon_He7 zenon_H35 zenon_H5d zenon_Hd0 zenon_H181.
% 10.04/10.21 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 10.04/10.21 exact (zenon_H27 zenon_H32).
% 10.04/10.21 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 10.04/10.21 apply (zenon_L539_); trivial.
% 10.04/10.21 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 10.04/10.21 apply (zenon_L70_); trivial.
% 10.04/10.21 apply (zenon_L163_); trivial.
% 10.04/10.21 (* end of lemma zenon_L540_ *)
% 10.04/10.21 assert (zenon_L541_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (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))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (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 (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 10.04/10.21 do 0 intro. intros zenon_H64 zenon_H56 zenon_Hd3 zenon_H181 zenon_H35 zenon_He7 zenon_H44 zenon_He8 zenon_Hc0 zenon_H95 zenon_H9a zenon_H91 zenon_H4c zenon_H73 zenon_H5e zenon_H90 zenon_H53 zenon_H27 zenon_H42 zenon_H18a zenon_H43 zenon_H187 zenon_H17c zenon_Hd0 zenon_H84 zenon_H86.
% 10.04/10.21 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.04/10.21 exact (zenon_H56 zenon_H2c).
% 10.04/10.21 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.04/10.21 apply (zenon_L481_); trivial.
% 10.04/10.21 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.04/10.21 apply (zenon_L540_); trivial.
% 10.04/10.21 apply (zenon_L411_); trivial.
% 10.04/10.21 (* end of lemma zenon_L541_ *)
% 10.04/10.21 assert (zenon_L542_ : (~((op (e1) (e1)) = (e0))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (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) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((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 (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (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 (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((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 (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (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))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((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)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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 (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 (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (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) (e0)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((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 (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((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) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (~((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) (e2)) = (e2))) -> ((op (e1) (e3)) = (e1)) -> ((op (e1) (e2)) = (e1)) -> ((op (e3) (e3)) = (e3)) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> False).
% 10.04/10.21 do 0 intro. intros zenon_He8 zenon_Hb1 zenon_H25 zenon_H44 zenon_H18e zenon_H205 zenon_Hbb zenon_H17a zenon_H165 zenon_H1ea zenon_H16e zenon_H156 zenon_H90 zenon_H17c zenon_H86 zenon_H132 zenon_H103 zenon_H1cb zenon_H108 zenon_Hf8 zenon_H158 zenon_H145 zenon_H5e zenon_H155 zenon_H91 zenon_Hc5 zenon_H12f zenon_H150 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H1b4 zenon_Hce zenon_Hdd zenon_H1af zenon_Hd2 zenon_Hd3 zenon_Hc0 zenon_He7 zenon_H53 zenon_H181 zenon_H42 zenon_H4c zenon_H95 zenon_H187 zenon_H64 zenon_H157 zenon_H14d zenon_H16b zenon_H1b1 zenon_H35 zenon_H159 zenon_H6f zenon_H198 zenon_H56 zenon_H58 zenon_H1b7 zenon_H18d zenon_H173 zenon_Hfd zenon_H1fb zenon_H1f8 zenon_H200 zenon_H177 zenon_Hf5 zenon_H1f0 zenon_H1f zenon_H1ef zenon_H114 zenon_H152 zenon_H204 zenon_H4a zenon_H144 zenon_H11d zenon_Hae zenon_H168 zenon_Hc6 zenon_H67 zenon_H16f zenon_Hab zenon_Hde zenon_H112 zenon_H1e6 zenon_H10b zenon_H18a zenon_H1e2 zenon_H97 zenon_Hb0 zenon_H8c zenon_H128 zenon_Hda zenon_H3c zenon_H1de zenon_H1dd zenon_H12c zenon_Hec zenon_He3 zenon_H195 zenon_H192 zenon_H191 zenon_H27 zenon_H7a zenon_H43 zenon_H7d zenon_Hc7 zenon_H9a zenon_H100 zenon_H84 zenon_H151.
% 10.04/10.21 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.04/10.21 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.04/10.21 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.04/10.21 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 10.04/10.21 exact (zenon_H25 zenon_H2a).
% 10.04/10.21 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 10.04/10.21 apply (zenon_L536_); trivial.
% 10.04/10.21 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 10.04/10.21 apply (zenon_L43_); trivial.
% 10.04/10.21 apply (zenon_L537_); trivial.
% 10.04/10.21 apply (zenon_L254_); trivial.
% 10.04/10.21 apply (zenon_L161_); trivial.
% 10.04/10.21 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.04/10.21 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 10.04/10.21 exact (zenon_H25 zenon_H2a).
% 10.04/10.21 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 10.04/10.21 apply (zenon_L534_); trivial.
% 10.04/10.21 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 10.04/10.21 apply (zenon_L541_); trivial.
% 10.04/10.21 apply (zenon_L537_); trivial.
% 10.04/10.21 apply (zenon_L161_); trivial.
% 10.04/10.21 (* end of lemma zenon_L542_ *)
% 10.04/10.21 assert (zenon_L543_ : ((op (e0) (e2)) = (e2)) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((op (e3) (e3)) = (e3)) -> ((op (e1) (e2)) = (e1)) -> ((op (e1) (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 (e0) (e0)) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (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 (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 (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 (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((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) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (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 (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((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) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((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)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (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 (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)) = (op (e2) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (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) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (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) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e1)) = (e0))) -> False).
% 10.04/10.21 do 0 intro. intros zenon_H3b zenon_H151 zenon_H84 zenon_H100 zenon_H9a zenon_H7d zenon_H43 zenon_H7a zenon_H27 zenon_H191 zenon_H192 zenon_H195 zenon_He3 zenon_Hec zenon_H12c zenon_H1dd zenon_H1de zenon_H3c zenon_Hda zenon_H128 zenon_H8c zenon_Hb0 zenon_H97 zenon_H1e2 zenon_H18a zenon_H10b zenon_H1e6 zenon_H112 zenon_Hde zenon_Hab zenon_H16f zenon_H67 zenon_Hc6 zenon_H168 zenon_Hae zenon_H11d zenon_H144 zenon_H4a zenon_H204 zenon_H152 zenon_H114 zenon_H1ef zenon_H1f zenon_H1f0 zenon_Hf5 zenon_H177 zenon_H200 zenon_H1f8 zenon_H1fb zenon_Hfd zenon_H173 zenon_H18d zenon_H1b7 zenon_H58 zenon_H56 zenon_H198 zenon_H6f zenon_H159 zenon_H35 zenon_H1b1 zenon_H16b zenon_H14d zenon_H157 zenon_H64 zenon_H187 zenon_H95 zenon_H4c zenon_H42 zenon_H181 zenon_H53 zenon_He7 zenon_Hc0 zenon_Hd3 zenon_Hd2 zenon_H1af zenon_Hdd zenon_Hce zenon_H1b4 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H150 zenon_H12f zenon_Hc5 zenon_H91 zenon_H155 zenon_H5e zenon_H145 zenon_H158 zenon_Hf8 zenon_H108 zenon_H1cb zenon_H103 zenon_H132 zenon_H86 zenon_H17c zenon_H90 zenon_H156 zenon_H16e zenon_H1ea zenon_H165 zenon_H17a zenon_Hbb zenon_H205 zenon_H18e zenon_H44 zenon_H25 zenon_Hb1 zenon_He8.
% 10.04/10.21 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.04/10.21 apply (zenon_L542_); trivial.
% 10.04/10.21 apply (zenon_L5_); trivial.
% 10.04/10.21 (* end of lemma zenon_L543_ *)
% 10.04/10.21 assert (zenon_L544_ : ((op (e1) (e2)) = (e0)) -> ((op (e3) (e2)) = (e1)) -> ((op (e2) (e2)) = (e3)) -> False).
% 10.04/10.21 do 0 intro. intros zenon_H101 zenon_Hf3 zenon_Hcd.
% 10.04/10.21 apply (zenon_notand_s _ _ ax24); [ zenon_intro zenon_H20d | zenon_intro zenon_H219 ].
% 10.04/10.21 apply zenon_H20d. apply sym_equal. exact zenon_Hcd.
% 10.04/10.21 apply (zenon_notand_s _ _ zenon_H219); [ zenon_intro zenon_H21a | zenon_intro zenon_H15e ].
% 10.04/10.21 elim (classic ((op (op (op (e2) (e2)) (e2)) (e2)) = (op (op (op (e2) (e2)) (e2)) (e2)))); [ zenon_intro zenon_H13e | zenon_intro zenon_H13f ].
% 10.04/10.21 cut (((op (op (op (e2) (e2)) (e2)) (e2)) = (op (op (op (e2) (e2)) (e2)) (e2))) = ((e0) = (op (op (op (e2) (e2)) (e2)) (e2)))).
% 10.04/10.21 intro zenon_D_pnotp.
% 10.04/10.21 apply zenon_H21a.
% 10.04/10.21 rewrite <- zenon_D_pnotp.
% 10.04/10.21 exact zenon_H13e.
% 10.04/10.21 cut (((op (op (op (e2) (e2)) (e2)) (e2)) = (op (op (op (e2) (e2)) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H13f].
% 10.04/10.21 cut (((op (op (op (e2) (e2)) (e2)) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H21b].
% 10.04/10.21 congruence.
% 10.04/10.21 cut (((op (e1) (e2)) = (e0)) = ((op (op (op (e2) (e2)) (e2)) (e2)) = (e0))).
% 10.04/10.21 intro zenon_D_pnotp.
% 10.04/10.21 apply zenon_H21b.
% 10.04/10.21 rewrite <- zenon_D_pnotp.
% 10.04/10.21 exact zenon_H101.
% 10.04/10.21 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H41].
% 10.04/10.21 cut (((op (e1) (e2)) = (op (op (op (e2) (e2)) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H163].
% 10.04/10.21 congruence.
% 10.04/10.21 elim (classic ((op (op (op (e2) (e2)) (e2)) (e2)) = (op (op (op (e2) (e2)) (e2)) (e2)))); [ zenon_intro zenon_H13e | zenon_intro zenon_H13f ].
% 10.04/10.22 cut (((op (op (op (e2) (e2)) (e2)) (e2)) = (op (op (op (e2) (e2)) (e2)) (e2))) = ((op (e1) (e2)) = (op (op (op (e2) (e2)) (e2)) (e2)))).
% 10.04/10.22 intro zenon_D_pnotp.
% 10.04/10.22 apply zenon_H163.
% 10.04/10.22 rewrite <- zenon_D_pnotp.
% 10.04/10.22 exact zenon_H13e.
% 10.04/10.22 cut (((op (op (op (e2) (e2)) (e2)) (e2)) = (op (op (op (e2) (e2)) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H13f].
% 10.04/10.22 cut (((op (op (op (e2) (e2)) (e2)) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H164].
% 10.04/10.22 congruence.
% 10.04/10.22 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H37].
% 10.04/10.22 cut (((op (op (e2) (e2)) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H15f].
% 10.04/10.22 congruence.
% 10.04/10.22 cut (((op (e3) (e2)) = (e1)) = ((op (op (e2) (e2)) (e2)) = (e1))).
% 10.04/10.22 intro zenon_D_pnotp.
% 10.04/10.22 apply zenon_H15f.
% 10.04/10.22 rewrite <- zenon_D_pnotp.
% 10.04/10.22 exact zenon_Hf3.
% 10.04/10.22 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 10.04/10.22 cut (((op (e3) (e2)) = (op (op (e2) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H20b].
% 10.04/10.22 congruence.
% 10.04/10.22 elim (classic ((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [ zenon_intro zenon_H138 | zenon_intro zenon_H139 ].
% 10.04/10.22 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2))) = ((op (e3) (e2)) = (op (op (e2) (e2)) (e2)))).
% 10.04/10.22 intro zenon_D_pnotp.
% 10.04/10.22 apply zenon_H20b.
% 10.04/10.22 rewrite <- zenon_D_pnotp.
% 10.04/10.22 exact zenon_H138.
% 10.04/10.22 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H139].
% 10.04/10.22 cut (((op (op (e2) (e2)) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H20a].
% 10.04/10.22 congruence.
% 10.04/10.22 apply (zenon_L405_); trivial.
% 10.04/10.22 apply zenon_H139. apply refl_equal.
% 10.04/10.22 apply zenon_H139. apply refl_equal.
% 10.04/10.22 apply zenon_H33. apply refl_equal.
% 10.04/10.22 apply zenon_H37. apply refl_equal.
% 10.04/10.22 apply zenon_H13f. apply refl_equal.
% 10.04/10.22 apply zenon_H13f. apply refl_equal.
% 10.04/10.22 apply zenon_H41. apply refl_equal.
% 10.04/10.22 apply zenon_H13f. apply refl_equal.
% 10.04/10.22 apply zenon_H13f. apply refl_equal.
% 10.04/10.22 elim (classic ((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [ zenon_intro zenon_H138 | zenon_intro zenon_H139 ].
% 10.04/10.22 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2))) = ((e1) = (op (op (e2) (e2)) (e2)))).
% 10.04/10.22 intro zenon_D_pnotp.
% 10.04/10.22 apply zenon_H15e.
% 10.04/10.22 rewrite <- zenon_D_pnotp.
% 10.04/10.22 exact zenon_H138.
% 10.04/10.22 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H139].
% 10.04/10.22 cut (((op (op (e2) (e2)) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H15f].
% 10.04/10.22 congruence.
% 10.04/10.22 cut (((op (e3) (e2)) = (e1)) = ((op (op (e2) (e2)) (e2)) = (e1))).
% 10.04/10.22 intro zenon_D_pnotp.
% 10.04/10.22 apply zenon_H15f.
% 10.04/10.22 rewrite <- zenon_D_pnotp.
% 10.04/10.22 exact zenon_Hf3.
% 10.04/10.22 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 10.04/10.22 cut (((op (e3) (e2)) = (op (op (e2) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H20b].
% 10.04/10.22 congruence.
% 10.04/10.22 elim (classic ((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [ zenon_intro zenon_H138 | zenon_intro zenon_H139 ].
% 10.04/10.22 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2))) = ((op (e3) (e2)) = (op (op (e2) (e2)) (e2)))).
% 10.04/10.22 intro zenon_D_pnotp.
% 10.04/10.22 apply zenon_H20b.
% 10.04/10.22 rewrite <- zenon_D_pnotp.
% 10.04/10.22 exact zenon_H138.
% 10.04/10.22 cut (((op (op (e2) (e2)) (e2)) = (op (op (e2) (e2)) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H139].
% 10.04/10.22 cut (((op (op (e2) (e2)) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H20a].
% 10.04/10.22 congruence.
% 10.04/10.22 apply (zenon_L405_); trivial.
% 10.04/10.22 apply zenon_H139. apply refl_equal.
% 10.04/10.22 apply zenon_H139. apply refl_equal.
% 10.04/10.22 apply zenon_H33. apply refl_equal.
% 10.04/10.22 apply zenon_H139. apply refl_equal.
% 10.04/10.22 apply zenon_H139. apply refl_equal.
% 10.04/10.22 (* end of lemma zenon_L544_ *)
% 10.04/10.22 assert (zenon_L545_ : ((op (e1) (e0)) = (e2)) -> (~((e1) = (e3))) -> (~((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 (e2) (e2)) = (e1))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((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 (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (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 (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 (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 (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((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) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (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 (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((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) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((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)) = (e1)))\/((op (e2) (e1)) = (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) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (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 (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)) = (op (e2) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (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) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> False).
% 10.04/10.22 do 0 intro. intros zenon_H6a zenon_H4c zenon_H53 zenon_H3b zenon_H95 zenon_H165 zenon_H91 zenon_H151 zenon_H84 zenon_H7d zenon_H43 zenon_H7a zenon_H27 zenon_H191 zenon_H192 zenon_H195 zenon_He3 zenon_Hec zenon_H12c zenon_H1dd zenon_H1de zenon_H3c zenon_Hda zenon_H128 zenon_H8c zenon_Hb0 zenon_H97 zenon_H1e2 zenon_H18a zenon_H10b zenon_H1e6 zenon_H112 zenon_Hde zenon_Hab zenon_H16f zenon_H67 zenon_Hc6 zenon_H168 zenon_Hae zenon_H11d zenon_H144 zenon_H4a zenon_H204 zenon_H152 zenon_H114 zenon_H1ef zenon_H1f zenon_H1f0 zenon_Hf5 zenon_H177 zenon_H200 zenon_H1f8 zenon_H1fb zenon_Hfd zenon_H173 zenon_H18d zenon_H1b7 zenon_H58 zenon_H56 zenon_H198 zenon_H6f zenon_H159 zenon_H35 zenon_H1b1 zenon_H16b zenon_H14d zenon_H157 zenon_H64 zenon_H187 zenon_H42 zenon_H181 zenon_He7 zenon_Hc0 zenon_Hd3 zenon_Hd2 zenon_H1af zenon_Hdd zenon_Hce zenon_H1b4 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H150 zenon_H12f zenon_Hc5 zenon_H155 zenon_H145 zenon_H158 zenon_Hf8 zenon_H108 zenon_H1cb zenon_H103 zenon_H132 zenon_H86 zenon_H17c zenon_H90 zenon_H156 zenon_H16e zenon_H1ea zenon_H17a zenon_Hbb zenon_H205 zenon_H18e zenon_H44 zenon_H25 zenon_Hb1 zenon_He8 zenon_H5e zenon_H9a.
% 10.04/10.22 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H69 | zenon_intro zenon_H146 ].
% 10.04/10.22 apply (zenon_L17_); trivial.
% 10.04/10.22 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Heb | zenon_intro zenon_H147 ].
% 10.04/10.22 exact (zenon_He8 zenon_Heb).
% 10.04/10.22 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H101 | zenon_intro zenon_H87 ].
% 10.04/10.22 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H5d | zenon_intro zenon_H104 ].
% 10.04/10.22 apply (zenon_L70_); trivial.
% 10.04/10.22 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_H100 | zenon_intro zenon_H105 ].
% 10.04/10.22 apply (zenon_L543_); trivial.
% 10.04/10.22 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf3 ].
% 10.04/10.22 exact (zenon_H91 zenon_H94).
% 10.04/10.22 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H52 | zenon_intro zenon_H166 ].
% 10.04/10.22 apply (zenon_L32_); trivial.
% 10.04/10.22 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H161 | zenon_intro zenon_H167 ].
% 10.04/10.22 apply (zenon_L441_); trivial.
% 10.04/10.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hed ].
% 10.04/10.22 apply (zenon_L544_); trivial.
% 10.04/10.22 apply (zenon_L64_); trivial.
% 10.04/10.22 apply (zenon_L192_); trivial.
% 10.04/10.22 (* end of lemma zenon_L545_ *)
% 10.04/10.22 assert (zenon_L546_ : ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((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 (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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 (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (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 (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (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))))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (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 (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((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)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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 (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 (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (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) (e0)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((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 (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((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) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (~((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)) = (e3)) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((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)) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> False).
% 10.04/10.22 do 0 intro. intros zenon_H9a zenon_H5e zenon_He8 zenon_Hb1 zenon_H25 zenon_H18e zenon_H205 zenon_Hbb zenon_H17a zenon_H1ea zenon_H16e zenon_H156 zenon_H90 zenon_H17c zenon_H86 zenon_H132 zenon_H103 zenon_H1cb zenon_H108 zenon_Hf8 zenon_H158 zenon_H145 zenon_H155 zenon_Hc5 zenon_H12f zenon_H150 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H1b4 zenon_Hce zenon_Hdd zenon_H1af zenon_Hd2 zenon_Hd3 zenon_Hc0 zenon_He7 zenon_H181 zenon_H42 zenon_H187 zenon_H64 zenon_H157 zenon_H14d zenon_H16b zenon_H1b1 zenon_H159 zenon_H6f zenon_H198 zenon_H56 zenon_H58 zenon_H1b7 zenon_H18d zenon_H173 zenon_Hfd zenon_H1fb zenon_H1f8 zenon_H200 zenon_H177 zenon_Hf5 zenon_H1f0 zenon_H1f zenon_H1ef zenon_H114 zenon_H152 zenon_H204 zenon_H4a zenon_H144 zenon_H11d zenon_Hae zenon_H168 zenon_Hc6 zenon_H67 zenon_H16f zenon_Hab zenon_Hde zenon_H112 zenon_H1e6 zenon_H10b zenon_H18a zenon_H1e2 zenon_H97 zenon_Hb0 zenon_H8c zenon_H128 zenon_Hda zenon_H3c zenon_H1de zenon_H1dd zenon_H12c zenon_Hec zenon_He3 zenon_H195 zenon_H192 zenon_H191 zenon_H27 zenon_H7a zenon_H43 zenon_H7d zenon_H84 zenon_H151 zenon_H91 zenon_H165 zenon_H95 zenon_H3b zenon_H53 zenon_H4c zenon_H76 zenon_H35 zenon_He4 zenon_H44.
% 10.04/10.22 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hdf ].
% 10.04/10.22 exact (zenon_H27 zenon_H32).
% 10.04/10.22 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H6a | zenon_intro zenon_He0 ].
% 10.04/10.22 apply (zenon_L545_); trivial.
% 10.04/10.22 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd8 ].
% 10.04/10.22 apply (zenon_L47_); trivial.
% 10.04/10.22 apply (zenon_L99_); trivial.
% 10.04/10.22 (* end of lemma zenon_L546_ *)
% 10.04/10.22 assert (zenon_L547_ : ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e1)) = (e0)) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> False).
% 10.04/10.22 do 0 intro. intros zenon_H67 zenon_Hfd zenon_H24 zenon_H1e zenon_H26 zenon_H25 zenon_H11b zenon_H68 zenon_H4a.
% 10.04/10.22 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.04/10.22 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.04/10.22 apply (zenon_L2_); trivial.
% 10.04/10.22 apply (zenon_L85_); trivial.
% 10.04/10.22 apply (zenon_L69_); trivial.
% 10.04/10.22 (* end of lemma zenon_L547_ *)
% 10.04/10.22 assert (zenon_L548_ : (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> ((op (e2) (e3)) = (e0)) -> False).
% 10.04/10.22 do 0 intro. intros zenon_H181 zenon_H43 zenon_H89.
% 10.04/10.22 cut (((op (e0) (e3)) = (e0)) = ((op (e0) (e3)) = (op (e2) (e3)))).
% 10.04/10.22 intro zenon_D_pnotp.
% 10.04/10.22 apply zenon_H181.
% 10.04/10.22 rewrite <- zenon_D_pnotp.
% 10.04/10.22 exact zenon_H43.
% 10.04/10.22 cut (((e0) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1e1].
% 10.04/10.22 cut (((op (e0) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H5a].
% 10.04/10.22 congruence.
% 10.04/10.22 apply zenon_H5a. apply refl_equal.
% 10.04/10.22 apply zenon_H1e1. apply sym_equal. exact zenon_H89.
% 10.04/10.22 (* end of lemma zenon_L548_ *)
% 10.04/10.22 assert (zenon_L549_ : ((op (e2) (e3)) = (e3)) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> False).
% 10.04/10.22 do 0 intro. intros zenon_H11f zenon_Hb9 zenon_H184.
% 10.04/10.22 elim (classic ((op (e2) (e3)) = (op (e2) (e3)))); [ zenon_intro zenon_H17d | zenon_intro zenon_H17e ].
% 10.04/10.22 cut (((op (e2) (e3)) = (op (e2) (e3))) = ((op (e2) (e1)) = (op (e2) (e3)))).
% 10.04/10.22 intro zenon_D_pnotp.
% 10.04/10.22 apply zenon_H184.
% 10.04/10.22 rewrite <- zenon_D_pnotp.
% 10.04/10.22 exact zenon_H17d.
% 10.04/10.22 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H17e].
% 10.04/10.22 cut (((op (e2) (e3)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H21c].
% 10.04/10.22 congruence.
% 10.04/10.22 cut (((op (e2) (e3)) = (e3)) = ((op (e2) (e3)) = (op (e2) (e1)))).
% 10.04/10.22 intro zenon_D_pnotp.
% 10.04/10.22 apply zenon_H21c.
% 10.04/10.22 rewrite <- zenon_D_pnotp.
% 10.04/10.22 exact zenon_H11f.
% 10.04/10.22 cut (((e3) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H117].
% 10.04/10.22 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H17e].
% 10.04/10.22 congruence.
% 10.04/10.22 apply zenon_H17e. apply refl_equal.
% 10.04/10.22 apply zenon_H117. apply sym_equal. exact zenon_Hb9.
% 10.04/10.22 apply zenon_H17e. apply refl_equal.
% 10.04/10.22 apply zenon_H17e. apply refl_equal.
% 10.04/10.22 (* end of lemma zenon_L549_ *)
% 10.04/10.22 assert (zenon_L550_ : (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (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) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e2)) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> False).
% 10.04/10.22 do 0 intro. intros zenon_H21d zenon_H7d zenon_H7f zenon_H7e zenon_H43 zenon_H7a zenon_H86 zenon_H18d zenon_H187 zenon_H17c zenon_H18a zenon_H181 zenon_H47 zenon_Hb9 zenon_H184.
% 10.04/10.22 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H89 | zenon_intro zenon_H21e ].
% 10.04/10.22 apply (zenon_L548_); trivial.
% 10.04/10.22 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_H8a | zenon_intro zenon_H21f ].
% 10.04/10.22 apply (zenon_L392_); trivial.
% 10.04/10.22 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H11f ].
% 10.04/10.22 apply (zenon_L163_); trivial.
% 10.04/10.22 apply (zenon_L549_); trivial.
% 10.04/10.22 (* end of lemma zenon_L550_ *)
% 10.04/10.22 assert (zenon_L551_ : (~((e0) = (e2))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e1)) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (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 (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 (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((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) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (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 (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((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)) = (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)) = (e1)))\/((op (e2) (e1)) = (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)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (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 (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)) = (op (e2) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (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) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e1)) = (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) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (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) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> False).
% 10.04/10.22 do 0 intro. intros zenon_H44 zenon_H35 zenon_H76 zenon_H53 zenon_H95 zenon_H165 zenon_H151 zenon_H27 zenon_H191 zenon_H192 zenon_H195 zenon_He3 zenon_Hec zenon_H1dd zenon_H1de zenon_H3c zenon_Hda zenon_H128 zenon_H8c zenon_Hb0 zenon_H97 zenon_H1e2 zenon_H10b zenon_H1e6 zenon_H112 zenon_Hde zenon_Hab zenon_H16f zenon_Hc6 zenon_H168 zenon_Hae zenon_H11d zenon_H144 zenon_H204 zenon_H152 zenon_H114 zenon_H1ef zenon_H1f zenon_H1f0 zenon_Hf5 zenon_H177 zenon_H200 zenon_H1f8 zenon_H1fb zenon_H173 zenon_H1b7 zenon_H58 zenon_H56 zenon_H198 zenon_H6f zenon_H159 zenon_H1b1 zenon_H16b zenon_H14d zenon_H157 zenon_H64 zenon_H42 zenon_Hc0 zenon_Hd3 zenon_Hd2 zenon_H1af zenon_Hdd zenon_Hce zenon_H1b4 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H150 zenon_H12f zenon_Hc5 zenon_H155 zenon_H145 zenon_H158 zenon_Hf8 zenon_H108 zenon_H1cb zenon_H103 zenon_H132 zenon_H156 zenon_H16e zenon_H1ea zenon_H17a zenon_H18e zenon_Hb1 zenon_He7 zenon_H4a zenon_H11b zenon_H25 zenon_H26 zenon_H1e zenon_H24 zenon_Hfd zenon_H67 zenon_He8 zenon_H84 zenon_H205 zenon_Hc8 zenon_H21d zenon_H7d zenon_H7f zenon_H7e zenon_H43 zenon_H7a zenon_H86 zenon_H18d zenon_H187 zenon_H17c zenon_H18a zenon_H181 zenon_H184 zenon_H90 zenon_H4c zenon_H5e zenon_H91 zenon_H9a zenon_H12c zenon_Hbb zenon_He4.
% 10.04/10.22 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 10.04/10.22 exact (zenon_H27 zenon_H32).
% 10.04/10.22 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 10.04/10.22 apply (zenon_L4_); trivial.
% 10.04/10.22 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 10.04/10.22 apply (zenon_L546_); trivial.
% 10.04/10.22 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H68 | zenon_intro zenon_He9 ].
% 10.04/10.22 apply (zenon_L547_); trivial.
% 10.04/10.22 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Heb | zenon_intro zenon_Hea ].
% 10.04/10.22 exact (zenon_He8 zenon_Heb).
% 10.04/10.22 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H78 | zenon_intro zenon_He5 ].
% 10.04/10.22 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H74 | zenon_intro zenon_H12d ].
% 10.04/10.22 apply (zenon_L483_); trivial.
% 10.04/10.22 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H12e ].
% 10.04/10.22 apply (zenon_L550_); trivial.
% 10.04/10.22 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hcd | zenon_intro zenon_H11f ].
% 10.04/10.22 exact (zenon_Hc8 zenon_Hcd).
% 10.04/10.22 apply (zenon_L385_); trivial.
% 10.04/10.22 apply (zenon_L58_); trivial.
% 10.04/10.22 (* end of lemma zenon_L551_ *)
% 10.04/10.22 assert (zenon_L552_ : ((op (e0) (e1)) = (e1)) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((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 (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (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 (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 (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 (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((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) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (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 (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((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) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((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)) = (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)) = (e1)))\/((op (e2) (e1)) = (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) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (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 (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)) = (op (e2) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (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) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 10.04/10.22 do 0 intro. intros zenon_H1e zenon_H44 zenon_He4 zenon_H35 zenon_H76 zenon_H4c zenon_H53 zenon_H95 zenon_H165 zenon_H91 zenon_H151 zenon_H84 zenon_H7d zenon_H43 zenon_H7a zenon_H27 zenon_H191 zenon_H192 zenon_H195 zenon_He3 zenon_Hec zenon_H12c zenon_H1dd zenon_H1de zenon_H3c zenon_Hda zenon_H128 zenon_H8c zenon_Hb0 zenon_H97 zenon_H1e2 zenon_H18a zenon_H10b zenon_H1e6 zenon_H112 zenon_Hde zenon_Hab zenon_H16f zenon_H67 zenon_Hc6 zenon_H168 zenon_Hae zenon_H11d zenon_H144 zenon_H4a zenon_H204 zenon_H152 zenon_H114 zenon_H1ef zenon_H1f zenon_H1f0 zenon_Hf5 zenon_H177 zenon_H200 zenon_H1f8 zenon_H1fb zenon_Hfd zenon_H173 zenon_H18d zenon_H1b7 zenon_H58 zenon_H56 zenon_H198 zenon_H6f zenon_H159 zenon_H1b1 zenon_H16b zenon_H14d zenon_H157 zenon_H64 zenon_H187 zenon_H42 zenon_He7 zenon_Hc0 zenon_Hd3 zenon_Hd2 zenon_H1af zenon_Hdd zenon_Hce zenon_H1b4 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H150 zenon_H12f zenon_Hc5 zenon_H155 zenon_H145 zenon_H158 zenon_Hf8 zenon_H108 zenon_H1cb zenon_H103 zenon_H132 zenon_H86 zenon_H17c zenon_H90 zenon_H156 zenon_H16e zenon_H1ea zenon_H17a zenon_Hbb zenon_H205 zenon_H18e zenon_H25 zenon_Hb1 zenon_He8 zenon_H5e zenon_H9a zenon_Hd0 zenon_H181.
% 10.04/10.22 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 10.04/10.22 exact (zenon_H27 zenon_H32).
% 10.04/10.22 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 10.04/10.22 apply (zenon_L4_); trivial.
% 10.04/10.22 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 10.04/10.22 apply (zenon_L546_); trivial.
% 10.04/10.22 apply (zenon_L163_); trivial.
% 10.04/10.22 (* end of lemma zenon_L552_ *)
% 10.04/10.22 assert (zenon_L553_ : (~((op (e0) (e0)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (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 (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 (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 (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (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 (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((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) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((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 (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((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)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((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)) = (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)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((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) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (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 (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)) = (op (e2) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (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) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (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 (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (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)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> (~((e1) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((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 (e3) (e0)) = (op (e3) (e1)))) -> False).
% 10.04/10.22 do 0 intro. intros zenon_H25 zenon_H191 zenon_H192 zenon_H195 zenon_He3 zenon_Hec zenon_H12c zenon_H1dd zenon_H1de zenon_H3c zenon_Hda zenon_H128 zenon_H8c zenon_Hb0 zenon_H97 zenon_H1e2 zenon_H18a zenon_H10b zenon_H1e6 zenon_H112 zenon_Hab zenon_H16f zenon_H67 zenon_Hc6 zenon_H168 zenon_Hae zenon_H11d zenon_H144 zenon_H4a zenon_H204 zenon_H152 zenon_H114 zenon_H1ef zenon_H1f zenon_H1f0 zenon_H177 zenon_H200 zenon_H1f8 zenon_H1fb zenon_Hfd zenon_H173 zenon_H18d zenon_H1b7 zenon_H7a zenon_H58 zenon_H56 zenon_H198 zenon_H6f zenon_H159 zenon_H1b1 zenon_H16b zenon_H14d zenon_H157 zenon_H64 zenon_H187 zenon_H95 zenon_H42 zenon_H181 zenon_H53 zenon_Hc0 zenon_Hd2 zenon_H1af zenon_Hdd zenon_Hce zenon_H1b4 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H150 zenon_H12f zenon_Hc5 zenon_H155 zenon_H145 zenon_H158 zenon_Hf8 zenon_H108 zenon_H1cb zenon_H103 zenon_H132 zenon_H86 zenon_H7d zenon_H156 zenon_H16e zenon_H1ea zenon_H165 zenon_H17a zenon_H205 zenon_H18e zenon_H9a zenon_H17c zenon_H91 zenon_Hd3 zenon_H90 zenon_He7 zenon_H43 zenon_H11b zenon_He8 zenon_H7e zenon_H4c zenon_Hed zenon_H35 zenon_H5e zenon_Hf5 zenon_H44 zenon_Haf zenon_H1e zenon_Hde zenon_Hbb.
% 10.04/10.22 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 10.04/10.22 exact (zenon_H25 zenon_H2a).
% 10.04/10.22 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 10.04/10.22 apply (zenon_L466_); trivial.
% 10.04/10.22 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 10.04/10.22 apply (zenon_L481_); trivial.
% 10.04/10.22 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H68 | zenon_intro zenon_He9 ].
% 10.04/10.22 apply (zenon_L85_); trivial.
% 10.04/10.22 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Heb | zenon_intro zenon_Hea ].
% 10.04/10.22 exact (zenon_He8 zenon_Heb).
% 10.04/10.22 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H78 | zenon_intro zenon_He5 ].
% 10.04/10.22 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H34 | zenon_intro zenon_He1 ].
% 10.04/10.22 apply (zenon_L4_); trivial.
% 10.04/10.22 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_Hb4 | zenon_intro zenon_He2 ].
% 10.04/10.22 exact (zenon_Haf zenon_Hb4).
% 10.04/10.22 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ].
% 10.04/10.22 apply (zenon_L57_); trivial.
% 10.04/10.22 apply (zenon_L65_); trivial.
% 10.04/10.22 apply (zenon_L58_); trivial.
% 10.04/10.22 (* end of lemma zenon_L553_ *)
% 10.04/10.22 assert (zenon_L554_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (e0))) -> ((op (e0) (e1)) = (e1)) -> ((op (e1) (e3)) = (e1)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e1)) = (e0))) -> ((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 (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (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 (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 (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 (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((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) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (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 (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((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) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((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)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (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 (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)) = (op (e2) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (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) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (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) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (e2))) -> False).
% 10.04/10.22 do 0 intro. intros zenon_H151 zenon_Hb1 zenon_H1e zenon_H9a zenon_Hd0 zenon_He8 zenon_H84 zenon_H7d zenon_H43 zenon_H7a zenon_H27 zenon_H191 zenon_H192 zenon_H195 zenon_He3 zenon_Hec zenon_H12c zenon_H1dd zenon_H1de zenon_H3c zenon_Hda zenon_H128 zenon_H8c zenon_Hb0 zenon_H97 zenon_H1e2 zenon_H18a zenon_H10b zenon_H1e6 zenon_H112 zenon_Hde zenon_Hab zenon_H16f zenon_H67 zenon_Hc6 zenon_H168 zenon_Hae zenon_H11d zenon_H144 zenon_H4a zenon_H204 zenon_H152 zenon_H114 zenon_H1ef zenon_H1f zenon_H1f0 zenon_Hf5 zenon_H177 zenon_H200 zenon_H1f8 zenon_H1fb zenon_Hfd zenon_H173 zenon_H18d zenon_H1b7 zenon_H58 zenon_H56 zenon_H198 zenon_H6f zenon_H159 zenon_H35 zenon_H1b1 zenon_H16b zenon_H14d zenon_H157 zenon_H64 zenon_H187 zenon_H95 zenon_H4c zenon_H42 zenon_H181 zenon_H53 zenon_He7 zenon_Hc0 zenon_Hd3 zenon_Hd2 zenon_H1af zenon_Hdd zenon_Hce zenon_H1b4 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H150 zenon_H12f zenon_Hc5 zenon_H91 zenon_H155 zenon_H5e zenon_H145 zenon_H158 zenon_Hf8 zenon_H108 zenon_H1cb zenon_H103 zenon_H132 zenon_H86 zenon_H17c zenon_H90 zenon_H156 zenon_H16e zenon_H1ea zenon_H165 zenon_H17a zenon_Hbb zenon_H205 zenon_H18e zenon_H44 zenon_H25 zenon_H11b zenon_Haf.
% 10.04/10.22 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.04/10.22 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.04/10.22 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 10.04/10.22 exact (zenon_H25 zenon_H2a).
% 10.04/10.22 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 10.04/10.22 apply (zenon_L536_); trivial.
% 10.04/10.22 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 10.04/10.22 apply (zenon_L541_); trivial.
% 10.04/10.22 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 10.04/10.22 exact (zenon_H56 zenon_H2c).
% 10.04/10.22 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 10.04/10.22 apply (zenon_L426_); trivial.
% 10.04/10.22 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 10.04/10.22 apply (zenon_L552_); trivial.
% 10.04/10.22 apply (zenon_L62_); trivial.
% 10.04/10.22 apply (zenon_L553_); trivial.
% 10.04/10.22 apply (zenon_L161_); trivial.
% 10.04/10.22 (* end of lemma zenon_L554_ *)
% 10.04/10.22 assert (zenon_L555_ : (((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)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 10.04/10.22 do 0 intro. intros zenon_Hb0 zenon_H5e zenon_H76 zenon_Hb8 zenon_H44 zenon_Hb1 zenon_H181 zenon_H43.
% 10.04/10.22 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hb5 ].
% 10.04/10.22 apply (zenon_L165_); trivial.
% 10.04/10.22 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H78 | zenon_intro zenon_Hb6 ].
% 10.04/10.22 apply (zenon_L57_); trivial.
% 10.04/10.22 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H89 ].
% 10.04/10.22 exact (zenon_Hb1 zenon_Hb7).
% 10.04/10.22 apply (zenon_L548_); trivial.
% 10.04/10.22 (* end of lemma zenon_L555_ *)
% 10.04/10.22 assert (zenon_L556_ : (((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) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> False).
% 10.04/10.22 do 0 intro. intros zenon_Hdd zenon_H27 zenon_H44 zenon_H69 zenon_Hb8 zenon_H112 zenon_Hf0 zenon_H35.
% 10.04/10.22 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hdf ].
% 10.04/10.22 exact (zenon_H27 zenon_H32).
% 10.04/10.22 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H6a | zenon_intro zenon_He0 ].
% 10.04/10.22 apply (zenon_L17_); trivial.
% 10.04/10.22 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd8 ].
% 10.04/10.22 apply (zenon_L79_); trivial.
% 10.04/10.22 apply (zenon_L211_); trivial.
% 10.04/10.22 (* end of lemma zenon_L556_ *)
% 10.04/10.22 assert (zenon_L557_ : (((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)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> False).
% 10.04/10.22 do 0 intro. intros zenon_H12c zenon_H53 zenon_H73 zenon_H95 zenon_Hb8 zenon_Hc8 zenon_H205 zenon_H84.
% 10.04/10.22 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H74 | zenon_intro zenon_H12d ].
% 10.04/10.22 apply (zenon_L20_); trivial.
% 10.04/10.22 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H12e ].
% 10.04/10.22 apply (zenon_L40_); trivial.
% 10.04/10.22 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hcd | zenon_intro zenon_H11f ].
% 10.04/10.22 exact (zenon_Hc8 zenon_Hcd).
% 10.04/10.22 apply (zenon_L385_); trivial.
% 10.04/10.22 (* end of lemma zenon_L557_ *)
% 10.04/10.22 assert (zenon_L558_ : (((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) (e0)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False).
% 10.04/10.22 do 0 intro. intros zenon_H1b4 zenon_H56 zenon_H9a zenon_H198 zenon_H43 zenon_H181 zenon_Hb1 zenon_H44 zenon_Hb8 zenon_Hb0 zenon_He4 zenon_H5e.
% 10.04/10.23 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 10.04/10.23 exact (zenon_H56 zenon_H2c).
% 10.04/10.23 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 10.04/10.23 apply (zenon_L194_); trivial.
% 10.04/10.23 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 10.04/10.23 apply (zenon_L555_); trivial.
% 10.04/10.23 apply (zenon_L62_); trivial.
% 10.04/10.23 (* end of lemma zenon_L558_ *)
% 10.04/10.23 assert (zenon_L559_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> False).
% 10.04/10.23 do 0 intro. intros zenon_Hd2 zenon_H184 zenon_H25 zenon_H1b4 zenon_H27 zenon_H112 zenon_H35 zenon_Hdd zenon_H5e zenon_H44 zenon_Hb8 zenon_Hb1 zenon_H181 zenon_H43 zenon_Hb0 zenon_H1af zenon_H198 zenon_H195 zenon_H192 zenon_H191 zenon_H159 zenon_H1ea zenon_H56 zenon_H12c zenon_H84 zenon_H205 zenon_H95 zenon_H53 zenon_H9a zenon_H18e.
% 10.04/10.23 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.04/10.23 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 10.04/10.23 exact (zenon_H25 zenon_H2a).
% 10.04/10.23 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 10.04/10.23 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 10.04/10.23 exact (zenon_H56 zenon_H2c).
% 10.04/10.23 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 10.04/10.23 apply (zenon_L468_); trivial.
% 10.04/10.23 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 10.04/10.23 apply (zenon_L555_); trivial.
% 10.04/10.23 apply (zenon_L556_); trivial.
% 10.04/10.23 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 10.04/10.23 apply (zenon_L557_); trivial.
% 10.04/10.23 apply (zenon_L558_); trivial.
% 10.04/10.23 apply (zenon_L164_); trivial.
% 10.04/10.23 (* end of lemma zenon_L559_ *)
% 10.04/10.23 assert (zenon_L560_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((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)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 10.04/10.23 do 0 intro. intros zenon_H145 zenon_H86 zenon_H84 zenon_H4c zenon_Hc1 zenon_H53 zenon_H1de zenon_He8 zenon_H100 zenon_H5e zenon_H187 zenon_H43.
% 10.04/10.23 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H69 | zenon_intro zenon_H146 ].
% 10.04/10.23 apply (zenon_L523_); trivial.
% 10.04/10.23 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Heb | zenon_intro zenon_H147 ].
% 10.04/10.23 exact (zenon_He8 zenon_Heb).
% 10.04/10.23 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H101 | zenon_intro zenon_H87 ].
% 10.04/10.23 apply (zenon_L71_); trivial.
% 10.04/10.23 apply (zenon_L276_); trivial.
% 10.04/10.23 (* end of lemma zenon_L560_ *)
% 10.04/10.23 assert (zenon_L561_ : ((op (e0) (e1)) = (e1)) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((op (e3) (e3)) = (e3)) -> ((op (e1) (e2)) = (e1)) -> ((op (e1) (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 (e0) (e0)) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (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 (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 (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 (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((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) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (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 (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((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) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((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)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (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 (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)) = (op (e2) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (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) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (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) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e1)) = (e0))) -> False).
% 10.04/10.23 do 0 intro. intros zenon_H1e zenon_H151 zenon_H84 zenon_H100 zenon_H9a zenon_H7d zenon_H43 zenon_H7a zenon_H27 zenon_H191 zenon_H192 zenon_H195 zenon_He3 zenon_Hec zenon_H12c zenon_H1dd zenon_H1de zenon_H3c zenon_Hda zenon_H128 zenon_H8c zenon_Hb0 zenon_H97 zenon_H1e2 zenon_H18a zenon_H10b zenon_H1e6 zenon_H112 zenon_Hde zenon_Hab zenon_H16f zenon_H67 zenon_Hc6 zenon_H168 zenon_Hae zenon_H11d zenon_H144 zenon_H4a zenon_H204 zenon_H152 zenon_H114 zenon_H1ef zenon_H1f zenon_H1f0 zenon_Hf5 zenon_H177 zenon_H200 zenon_H1f8 zenon_H1fb zenon_Hfd zenon_H173 zenon_H18d zenon_H1b7 zenon_H58 zenon_H56 zenon_H198 zenon_H6f zenon_H159 zenon_H35 zenon_H1b1 zenon_H16b zenon_H14d zenon_H157 zenon_H64 zenon_H187 zenon_H95 zenon_H4c zenon_H42 zenon_H181 zenon_H53 zenon_He7 zenon_Hc0 zenon_Hd3 zenon_Hd2 zenon_H1af zenon_Hdd zenon_Hce zenon_H1b4 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H150 zenon_H12f zenon_Hc5 zenon_H91 zenon_H155 zenon_H5e zenon_H145 zenon_H158 zenon_Hf8 zenon_H108 zenon_H1cb zenon_H103 zenon_H132 zenon_H86 zenon_H17c zenon_H90 zenon_H156 zenon_H16e zenon_H1ea zenon_H165 zenon_H17a zenon_Hbb zenon_H205 zenon_H18e zenon_H44 zenon_H25 zenon_Hb1 zenon_He8.
% 10.04/10.23 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.04/10.23 apply (zenon_L542_); trivial.
% 10.04/10.23 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.04/10.23 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.04/10.23 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 10.04/10.23 exact (zenon_H25 zenon_H2a).
% 10.04/10.23 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 10.04/10.23 apply (zenon_L530_); trivial.
% 10.04/10.23 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 10.04/10.23 apply (zenon_L481_); trivial.
% 10.04/10.23 apply (zenon_L537_); trivial.
% 10.04/10.23 apply (zenon_L359_); trivial.
% 10.04/10.23 apply (zenon_L161_); trivial.
% 10.04/10.23 (* end of lemma zenon_L561_ *)
% 10.04/10.23 assert (zenon_L562_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e0) = (e1))) -> (~((e0) = (e3))) -> (~((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) (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 (e2) (e1)) = (e2)) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((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 (e0) (e0)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> False).
% 10.04/10.23 do 0 intro. intros zenon_Hd2 zenon_H184 zenon_H18e zenon_H5e zenon_H53 zenon_H95 zenon_H205 zenon_H84 zenon_H12c zenon_H56 zenon_H1b4 zenon_H112 zenon_Hb8 zenon_H27 zenon_H44 zenon_H35 zenon_Hf5 zenon_H100 zenon_H1e6 zenon_H1f0 zenon_Hdd zenon_H1af zenon_H198 zenon_H195 zenon_H192 zenon_H191 zenon_H159 zenon_H1ea zenon_H6f zenon_H187 zenon_H9a zenon_H64 zenon_H25 zenon_H17a zenon_H151.
% 10.04/10.23 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.04/10.23 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.04/10.23 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 10.04/10.23 exact (zenon_H25 zenon_H2a).
% 10.04/10.23 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 10.04/10.23 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.04/10.23 exact (zenon_H56 zenon_H2c).
% 10.04/10.23 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.04/10.23 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 10.04/10.23 exact (zenon_H56 zenon_H2c).
% 10.04/10.23 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 10.04/10.23 apply (zenon_L468_); trivial.
% 10.04/10.23 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 10.04/10.23 apply (zenon_L524_); trivial.
% 10.04/10.23 apply (zenon_L556_); trivial.
% 10.04/10.23 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.04/10.23 apply (zenon_L228_); trivial.
% 10.04/10.23 apply (zenon_L202_); trivial.
% 10.04/10.23 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 10.04/10.23 apply (zenon_L557_); trivial.
% 10.04/10.23 apply (zenon_L537_); trivial.
% 10.04/10.23 apply (zenon_L161_); trivial.
% 10.04/10.23 apply (zenon_L164_); trivial.
% 10.04/10.23 (* end of lemma zenon_L562_ *)
% 10.04/10.23 assert (zenon_L563_ : ((op (e0) (e1)) = (e1)) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (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)) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (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 (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 (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 (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((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) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (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 (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((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) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((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)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((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) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (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 (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)) = (op (e2) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((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)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((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) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (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) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (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))))) -> False).
% 10.04/10.23 do 0 intro. intros zenon_H1e zenon_H151 zenon_H7d zenon_H7a zenon_H27 zenon_H191 zenon_H192 zenon_H195 zenon_He3 zenon_Hec zenon_H12c zenon_H1dd zenon_H3c zenon_Hda zenon_H128 zenon_H8c zenon_Hb0 zenon_H97 zenon_H1e2 zenon_H18a zenon_H10b zenon_H1e6 zenon_H112 zenon_Hde zenon_Hab zenon_H16f zenon_H67 zenon_Hc6 zenon_H168 zenon_Hae zenon_H11d zenon_H144 zenon_H4a zenon_H204 zenon_H152 zenon_H114 zenon_H1ef zenon_H1f zenon_H1f0 zenon_Hf5 zenon_H177 zenon_H200 zenon_H1f8 zenon_H1fb zenon_Hfd zenon_H173 zenon_H18d zenon_H1b7 zenon_H58 zenon_H56 zenon_H198 zenon_H6f zenon_H159 zenon_H35 zenon_H1b1 zenon_H16b zenon_H14d zenon_H157 zenon_H64 zenon_H95 zenon_H42 zenon_H181 zenon_He7 zenon_Hc0 zenon_Hd3 zenon_Hd2 zenon_H1af zenon_Hdd zenon_Hce zenon_H1b4 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H150 zenon_H12f zenon_Hc5 zenon_H155 zenon_H158 zenon_Hf8 zenon_H108 zenon_H1cb zenon_H103 zenon_H132 zenon_H17c zenon_H90 zenon_H156 zenon_H16e zenon_H1ea zenon_H165 zenon_H17a zenon_Hbb zenon_H205 zenon_H18e zenon_H44 zenon_H25 zenon_Hb1 zenon_H184 zenon_H1de zenon_H84 zenon_H86 zenon_H100 zenon_H4c zenon_H53 zenon_He8 zenon_H5e zenon_H187 zenon_H43 zenon_H145.
% 10.04/10.23 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.04/10.23 apply (zenon_L560_); trivial.
% 10.04/10.23 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.04/10.23 apply (zenon_L561_); trivial.
% 10.04/10.23 apply (zenon_L562_); trivial.
% 10.04/10.23 (* end of lemma zenon_L563_ *)
% 10.04/10.23 assert (zenon_L564_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (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) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((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 (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (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 (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((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 (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (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))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((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)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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 (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 (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (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) (e0)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((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 (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((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) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> ((op (e3) (e3)) = (e3)) -> ((~((op (e3) (e3)) = (e1)))\/((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) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> False).
% 10.04/10.23 do 0 intro. intros zenon_H191 zenon_He8 zenon_H44 zenon_H18e zenon_H205 zenon_Hbb zenon_H17a zenon_H165 zenon_H1ea zenon_H16e zenon_H156 zenon_H90 zenon_H17c zenon_H86 zenon_H132 zenon_H103 zenon_H1cb zenon_H108 zenon_Hf8 zenon_H158 zenon_H145 zenon_H5e zenon_H155 zenon_Hc5 zenon_H12f zenon_H150 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H1b4 zenon_Hce zenon_Hdd zenon_H1af zenon_Hd2 zenon_Hd3 zenon_Hc0 zenon_He7 zenon_H53 zenon_H181 zenon_H42 zenon_H4c zenon_H95 zenon_H187 zenon_H64 zenon_H157 zenon_H14d zenon_H16b zenon_H1b1 zenon_H35 zenon_H159 zenon_H6f zenon_H198 zenon_H56 zenon_H58 zenon_H1b7 zenon_H18d zenon_H173 zenon_Hfd zenon_H1fb zenon_H1f8 zenon_H200 zenon_H177 zenon_Hf5 zenon_H1f0 zenon_H1f zenon_H1ef zenon_H114 zenon_H152 zenon_H204 zenon_H4a zenon_H144 zenon_H11d zenon_Hae zenon_H168 zenon_Hc6 zenon_H67 zenon_H16f zenon_Hab zenon_Hde zenon_H112 zenon_H1e6 zenon_H10b zenon_H18a zenon_H1e2 zenon_H97 zenon_Hb0 zenon_H8c zenon_H128 zenon_Hda zenon_H3c zenon_H1de zenon_H1dd zenon_H12c zenon_Hec zenon_He3 zenon_H195 zenon_H7a zenon_H7d zenon_Hb1 zenon_H84 zenon_H151 zenon_H21d zenon_H184 zenon_H11b zenon_H25 zenon_H26 zenon_H1e zenon_H27 zenon_H24.
% 10.04/10.23 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.04/10.23 apply (zenon_L2_); trivial.
% 10.04/10.23 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.04/10.23 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.04/10.23 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.04/10.23 apply (zenon_L190_); trivial.
% 10.04/10.23 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.04/10.23 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.04/10.23 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.04/10.23 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.04/10.23 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.04/10.23 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 10.04/10.23 exact (zenon_H25 zenon_H2a).
% 10.04/10.23 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 10.04/10.23 apply (zenon_L536_); trivial.
% 10.04/10.23 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 10.04/10.23 apply (zenon_L43_); trivial.
% 10.04/10.23 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 10.04/10.23 exact (zenon_H56 zenon_H2c).
% 10.04/10.23 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 10.04/10.23 apply (zenon_L194_); trivial.
% 10.04/10.23 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 10.04/10.23 apply (zenon_L551_); trivial.
% 10.04/10.23 apply (zenon_L62_); trivial.
% 10.04/10.23 apply (zenon_L254_); trivial.
% 10.04/10.23 apply (zenon_L161_); trivial.
% 10.04/10.23 apply (zenon_L554_); trivial.
% 10.04/10.23 apply (zenon_L7_); trivial.
% 10.04/10.23 apply (zenon_L559_); trivial.
% 10.04/10.23 apply (zenon_L563_); trivial.
% 10.04/10.23 apply (zenon_L1_); trivial.
% 10.04/10.23 (* end of lemma zenon_L564_ *)
% 10.04/10.23 assert (zenon_L565_ : (~((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (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 (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((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 (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((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 (e1) (e3)) = (op (e2) (e3)))) -> (~((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)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (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 (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 (e1) (e1)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((e0) = (e2))) -> (((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 (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 (e0) (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 (e2) (e2)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (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) (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) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (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 (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((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)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (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 (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 (e2) (e0)) = (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 (e3) (e1)) = (op (e3) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> False).
% 10.04/10.23 do 0 intro. intros zenon_H220 zenon_H28 zenon_H4c zenon_H1e zenon_H53 zenon_H51 zenon_H205 zenon_H1cb zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H1b4 zenon_H1b1 zenon_H198 zenon_H1b7 zenon_H1fb zenon_H1f8 zenon_H200 zenon_H1f0 zenon_H1ef zenon_H204 zenon_H1e6 zenon_H1e2 zenon_H1de zenon_H1dd zenon_H195 zenon_H212 zenon_H216 zenon_H191 zenon_H67 zenon_H1f zenon_H5e zenon_H64 zenon_H58 zenon_H24 zenon_H1ea zenon_H18a zenon_H187 zenon_H184 zenon_H17c zenon_H181 zenon_H108 zenon_H103 zenon_Hfd zenon_H10b zenon_H18e zenon_He3 zenon_Hf5 zenon_He7 zenon_He8 zenon_Hec zenon_Hf8 zenon_H44 zenon_Hdd zenon_Hae zenon_H90 zenon_H7d zenon_H7a zenon_H86 zenon_H8c zenon_Hb1 zenon_Hab zenon_H35 zenon_H95 zenon_H97 zenon_Hb0 zenon_H6f zenon_Hde zenon_Hd3 zenon_Hc5 zenon_Hc6 zenon_Hce zenon_Hd2 zenon_Hbb zenon_Hc0 zenon_Hda zenon_H42 zenon_H18d zenon_H177 zenon_H168 zenon_H159 zenon_H165 zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H14d zenon_H145 zenon_H132 zenon_H3c zenon_H144 zenon_H12f zenon_H150 zenon_H157 zenon_H155 zenon_H156 zenon_H174 zenon_H16f zenon_H16b zenon_H169 zenon_H16e zenon_H173 zenon_H11d zenon_H128 zenon_H11b zenon_H12c zenon_H110 zenon_H112 zenon_H114 zenon_H118 zenon_H17a zenon_H1af zenon_H4a zenon_H25.
% 10.04/10.23 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.04/10.23 apply (zenon_L520_); trivial.
% 10.04/10.23 exact (zenon_H220 zenon_Hbc).
% 10.04/10.23 (* end of lemma zenon_L565_ *)
% 10.04/10.23 assert (zenon_L566_ : (~((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((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) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (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 (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((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)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e0)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((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) (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) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (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) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((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 (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))))) -> (~((e0) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (((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 (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((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) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((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 (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (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 (e1) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((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 (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)) = (op (e2) (e0)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e3) (e0)) = (e3))) -> False).
% 10.04/10.23 do 0 intro. intros zenon_H25 zenon_H4a zenon_H1af zenon_H17a zenon_H118 zenon_H114 zenon_H112 zenon_H110 zenon_H12c zenon_H11b zenon_H128 zenon_H11d zenon_H173 zenon_H16e zenon_H169 zenon_H16b zenon_H16f zenon_H174 zenon_H156 zenon_H155 zenon_H157 zenon_H150 zenon_H12f zenon_H144 zenon_H3c zenon_H132 zenon_H145 zenon_H14d zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H165 zenon_H159 zenon_H168 zenon_H177 zenon_H18d zenon_H42 zenon_Hda zenon_Hc0 zenon_Hbb zenon_Hd2 zenon_Hce zenon_Hc6 zenon_Hc5 zenon_Hd3 zenon_Hde zenon_H6f zenon_Hb0 zenon_H97 zenon_H95 zenon_H35 zenon_Hab zenon_Hb1 zenon_H8c zenon_H86 zenon_H7a zenon_H7d zenon_H90 zenon_Hae zenon_Hdd zenon_H44 zenon_Hf8 zenon_Hec zenon_He8 zenon_He7 zenon_Hf5 zenon_He3 zenon_H18e zenon_H10b zenon_Hfd zenon_H103 zenon_H108 zenon_H181 zenon_H17c zenon_H184 zenon_H187 zenon_H18a zenon_H1ea zenon_H24 zenon_H58 zenon_H64 zenon_H5e zenon_H1f zenon_H67 zenon_H191 zenon_H216 zenon_H212 zenon_H195 zenon_H1dd zenon_H1de zenon_H1e2 zenon_H1e6 zenon_H204 zenon_H1ef zenon_H1f0 zenon_H200 zenon_H1f8 zenon_H1fb zenon_H1b7 zenon_H198 zenon_H1b1 zenon_H1b4 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H1cb zenon_H205 zenon_H51 zenon_H53 zenon_H1e zenon_H4c zenon_H220.
% 10.04/10.23 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.04/10.23 apply (zenon_L565_); trivial.
% 10.04/10.23 apply (zenon_L343_); trivial.
% 10.04/10.23 (* end of lemma zenon_L566_ *)
% 10.04/10.23 assert (zenon_L567_ : (~((op (e2) (e0)) = (e2))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (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 (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((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 (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((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 (e1) (e3)) = (op (e2) (e3)))) -> (~((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)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (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 (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 (e1) (e1)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((e0) = (e2))) -> (((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 (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 (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (((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))))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (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) (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) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (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 (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((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)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (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 (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 (e2) (e0)) = (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 (e3) (e1)) = (op (e3) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> False).
% 10.04/10.23 do 0 intro. intros zenon_H221 zenon_H28 zenon_H4c zenon_H1e zenon_H53 zenon_H51 zenon_H205 zenon_H1cb zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H1b4 zenon_H1b1 zenon_H198 zenon_H1b7 zenon_H1fb zenon_H1f8 zenon_H200 zenon_H1f0 zenon_H1ef zenon_H204 zenon_H1e6 zenon_H1e2 zenon_H1de zenon_H1dd zenon_H195 zenon_H212 zenon_H216 zenon_H191 zenon_H67 zenon_H1f zenon_H5e zenon_H64 zenon_H58 zenon_H24 zenon_H1ea zenon_H18a zenon_H187 zenon_H184 zenon_H17c zenon_H181 zenon_H108 zenon_H103 zenon_Hfd zenon_H10b zenon_H18e zenon_He3 zenon_Hf5 zenon_He7 zenon_He8 zenon_Hec zenon_Hf8 zenon_H44 zenon_Hdd zenon_Hae zenon_H90 zenon_H7d zenon_H7a zenon_H86 zenon_H8d zenon_H8c zenon_Hab zenon_H35 zenon_H95 zenon_H97 zenon_Hb0 zenon_H6f zenon_Hde zenon_Hd3 zenon_Hc5 zenon_Hc6 zenon_Hce zenon_Hd2 zenon_Hbb zenon_Hc0 zenon_Hda zenon_H42 zenon_H18d zenon_H177 zenon_H168 zenon_H159 zenon_H165 zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H14d zenon_H145 zenon_H132 zenon_H3c zenon_H144 zenon_H12f zenon_H150 zenon_H157 zenon_H155 zenon_H156 zenon_H174 zenon_H16f zenon_H16b zenon_H169 zenon_H16e zenon_H173 zenon_H11d zenon_H128 zenon_H11b zenon_H12c zenon_H110 zenon_H112 zenon_H114 zenon_H118 zenon_H17a zenon_H1af zenon_H4a zenon_H25.
% 10.04/10.23 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.04/10.23 apply (zenon_L520_); trivial.
% 10.04/10.23 exact (zenon_H221 zenon_Hcf).
% 10.04/10.23 (* end of lemma zenon_L567_ *)
% 10.04/10.23 assert (zenon_L568_ : (~((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((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) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (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 (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((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)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e0)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((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) (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) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (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) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (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 (e3) (e3)) = (e0))) -> (~((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 (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))))) -> (~((e0) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (((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 (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((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) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((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 (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (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 (e1) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((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 (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)) = (op (e2) (e0)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e2) (e0)) = (e2))) -> False).
% 10.04/10.24 do 0 intro. intros zenon_H25 zenon_H4a zenon_H1af zenon_H17a zenon_H118 zenon_H114 zenon_H112 zenon_H110 zenon_H12c zenon_H11b zenon_H128 zenon_H11d zenon_H173 zenon_H16e zenon_H169 zenon_H16b zenon_H16f zenon_H174 zenon_H156 zenon_H155 zenon_H157 zenon_H150 zenon_H12f zenon_H144 zenon_H3c zenon_H132 zenon_H145 zenon_H14d zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H165 zenon_H159 zenon_H168 zenon_H177 zenon_H18d zenon_H42 zenon_Hda zenon_Hc0 zenon_Hbb zenon_Hd2 zenon_Hce zenon_Hc6 zenon_Hc5 zenon_Hd3 zenon_Hde zenon_H6f zenon_Hb0 zenon_H97 zenon_H95 zenon_H35 zenon_Hab zenon_H8c zenon_H8d zenon_H86 zenon_H7a zenon_H7d zenon_H90 zenon_Hae zenon_Hdd zenon_H44 zenon_Hf8 zenon_Hec zenon_He8 zenon_He7 zenon_Hf5 zenon_He3 zenon_H18e zenon_H10b zenon_Hfd zenon_H103 zenon_H108 zenon_H181 zenon_H17c zenon_H184 zenon_H187 zenon_H18a zenon_H1ea zenon_H24 zenon_H58 zenon_H64 zenon_H5e zenon_H1f zenon_H67 zenon_H191 zenon_H216 zenon_H212 zenon_H195 zenon_H1dd zenon_H1de zenon_H1e2 zenon_H1e6 zenon_H204 zenon_H1ef zenon_H1f0 zenon_H200 zenon_H1f8 zenon_H1fb zenon_H1b7 zenon_H198 zenon_H1b1 zenon_H1b4 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H1cb zenon_H205 zenon_H51 zenon_H53 zenon_H1e zenon_H4c zenon_H221.
% 10.04/10.24 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.04/10.24 apply (zenon_L567_); trivial.
% 10.04/10.24 apply (zenon_L343_); trivial.
% 10.04/10.24 (* end of lemma zenon_L568_ *)
% 10.04/10.24 assert (zenon_L569_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> False).
% 10.04/10.24 do 0 intro. intros zenon_H145 zenon_H44 zenon_H6a zenon_He8 zenon_Hc8 zenon_Hc7 zenon_H91 zenon_H155 zenon_Hc5 zenon_H187 zenon_H43.
% 10.04/10.24 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H69 | zenon_intro zenon_H146 ].
% 10.04/10.24 apply (zenon_L17_); trivial.
% 10.04/10.24 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Heb | zenon_intro zenon_H147 ].
% 10.04/10.24 exact (zenon_He8 zenon_Heb).
% 10.04/10.24 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H101 | zenon_intro zenon_H87 ].
% 10.04/10.24 apply (zenon_L118_); trivial.
% 10.04/10.24 apply (zenon_L276_); trivial.
% 10.04/10.24 (* end of lemma zenon_L569_ *)
% 10.04/10.24 assert (zenon_L570_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> False).
% 10.04/10.24 do 0 intro. intros zenon_Hdd zenon_H27 zenon_H43 zenon_H187 zenon_Hc5 zenon_H155 zenon_H91 zenon_Hc7 zenon_Hc8 zenon_He8 zenon_H145 zenon_H221 zenon_He4 zenon_H44.
% 10.04/10.24 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hdf ].
% 10.04/10.24 exact (zenon_H27 zenon_H32).
% 10.04/10.24 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H6a | zenon_intro zenon_He0 ].
% 10.04/10.24 apply (zenon_L569_); trivial.
% 10.04/10.24 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd8 ].
% 10.04/10.24 exact (zenon_H221 zenon_Hcf).
% 10.04/10.24 apply (zenon_L99_); trivial.
% 10.04/10.24 (* end of lemma zenon_L570_ *)
% 10.04/10.24 assert (zenon_L571_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (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 (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 (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 (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((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) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (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 (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((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) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((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)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (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 (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)) = (op (e2) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (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) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (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) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (e0))) -> False).
% 10.04/10.24 do 0 intro. intros zenon_H151 zenon_H84 zenon_He8 zenon_H221 zenon_Hc7 zenon_Hc8 zenon_H7d zenon_H43 zenon_H7a zenon_H27 zenon_H191 zenon_H192 zenon_H195 zenon_He3 zenon_Hec zenon_H12c zenon_H1dd zenon_H1de zenon_H3c zenon_Hda zenon_H128 zenon_H8c zenon_Hb0 zenon_H97 zenon_H1e2 zenon_H18a zenon_H10b zenon_H1e6 zenon_H112 zenon_Hde zenon_Hab zenon_H16f zenon_H67 zenon_Hc6 zenon_H168 zenon_Hae zenon_H11d zenon_H144 zenon_H4a zenon_H204 zenon_H152 zenon_H114 zenon_H1ef zenon_H1f zenon_H1f0 zenon_Hf5 zenon_H177 zenon_H200 zenon_H1f8 zenon_H1fb zenon_Hfd zenon_H173 zenon_H18d zenon_H1b7 zenon_H58 zenon_H56 zenon_H198 zenon_H6f zenon_H159 zenon_H35 zenon_H1b1 zenon_H16b zenon_H14d zenon_H157 zenon_H64 zenon_H187 zenon_H95 zenon_H4c zenon_H42 zenon_H181 zenon_H53 zenon_He7 zenon_Hc0 zenon_Hd3 zenon_Hd2 zenon_H1af zenon_Hdd zenon_Hce zenon_H1b4 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H150 zenon_H12f zenon_Hc5 zenon_H91 zenon_H155 zenon_H5e zenon_H145 zenon_H158 zenon_Hf8 zenon_H108 zenon_H1cb zenon_H103 zenon_H132 zenon_H86 zenon_H17c zenon_H90 zenon_H156 zenon_H16e zenon_H1ea zenon_H165 zenon_H17a zenon_Hbb zenon_H205 zenon_H18e zenon_H44 zenon_H25 zenon_Hb1.
% 10.04/10.24 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.04/10.24 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.04/10.24 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 10.04/10.24 exact (zenon_H25 zenon_H2a).
% 10.04/10.24 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 10.04/10.24 apply (zenon_L536_); trivial.
% 10.04/10.24 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 10.04/10.24 apply (zenon_L43_); trivial.
% 10.04/10.24 apply (zenon_L570_); trivial.
% 10.04/10.24 apply (zenon_L254_); trivial.
% 10.04/10.24 apply (zenon_L161_); trivial.
% 10.04/10.24 (* end of lemma zenon_L571_ *)
% 10.04/10.24 assert (zenon_L572_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e2) (e0)) = (e2))) -> ((op (e3) (e0)) = (e1)) -> (~((e1) = (e2))) -> False).
% 10.04/10.24 do 0 intro. intros zenon_Hdd zenon_H27 zenon_H44 zenon_H69 zenon_H221 zenon_Hf0 zenon_H35.
% 10.04/10.24 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hdf ].
% 10.04/10.24 exact (zenon_H27 zenon_H32).
% 10.04/10.24 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H6a | zenon_intro zenon_He0 ].
% 10.04/10.24 apply (zenon_L17_); trivial.
% 10.04/10.24 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd8 ].
% 10.04/10.24 exact (zenon_H221 zenon_Hcf).
% 10.04/10.24 apply (zenon_L211_); trivial.
% 10.04/10.24 (* end of lemma zenon_L572_ *)
% 10.04/10.24 assert (zenon_L573_ : ((op (e0) (e3)) = (e0)) -> ((op (e0) (e3)) = (e1)) -> (~((e0) = (e1))) -> False).
% 10.04/10.24 do 0 intro. intros zenon_H43 zenon_H62 zenon_H5e.
% 10.04/10.24 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H5f | zenon_intro zenon_H33 ].
% 10.04/10.24 cut (((e1) = (e1)) = ((e0) = (e1))).
% 10.04/10.24 intro zenon_D_pnotp.
% 10.04/10.24 apply zenon_H5e.
% 10.04/10.24 rewrite <- zenon_D_pnotp.
% 10.04/10.24 exact zenon_H5f.
% 10.04/10.24 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 10.04/10.24 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 10.04/10.24 congruence.
% 10.04/10.24 cut (((op (e0) (e3)) = (e0)) = ((e1) = (e0))).
% 10.04/10.24 intro zenon_D_pnotp.
% 10.04/10.24 apply zenon_H60.
% 10.04/10.24 rewrite <- zenon_D_pnotp.
% 10.04/10.24 exact zenon_H43.
% 10.04/10.24 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H41].
% 10.04/10.24 cut (((op (e0) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H222].
% 10.04/10.24 congruence.
% 10.04/10.24 exact (zenon_H222 zenon_H62).
% 10.04/10.24 apply zenon_H41. apply refl_equal.
% 10.04/10.24 apply zenon_H33. apply refl_equal.
% 10.04/10.24 apply zenon_H33. apply refl_equal.
% 10.04/10.24 (* end of lemma zenon_L573_ *)
% 10.04/10.24 assert (zenon_L574_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((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) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e0)) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> False).
% 10.04/10.24 do 0 intro. intros zenon_Hd2 zenon_H184 zenon_H18e zenon_H187 zenon_H9a zenon_H53 zenon_H95 zenon_Hb8 zenon_H205 zenon_H84 zenon_H12c zenon_H56 zenon_H1b4 zenon_H221 zenon_H27 zenon_H44 zenon_H35 zenon_Hf5 zenon_H100 zenon_H1e6 zenon_H1f0 zenon_Hdd zenon_H1af zenon_H198 zenon_H195 zenon_H192 zenon_H191 zenon_H159 zenon_H1ea zenon_H6f zenon_H5e zenon_H43 zenon_H64 zenon_H25 zenon_H17a zenon_H151.
% 10.04/10.24 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.04/10.24 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.04/10.24 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 10.04/10.24 exact (zenon_H25 zenon_H2a).
% 10.04/10.24 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 10.04/10.24 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.04/10.24 exact (zenon_H56 zenon_H2c).
% 10.04/10.24 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.04/10.24 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 10.04/10.24 exact (zenon_H56 zenon_H2c).
% 10.04/10.24 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 10.04/10.24 apply (zenon_L468_); trivial.
% 10.04/10.24 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 10.04/10.24 apply (zenon_L524_); trivial.
% 10.04/10.24 apply (zenon_L572_); trivial.
% 10.04/10.24 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.04/10.24 apply (zenon_L228_); trivial.
% 10.04/10.24 apply (zenon_L573_); trivial.
% 10.04/10.24 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 10.04/10.24 apply (zenon_L557_); trivial.
% 10.04/10.24 apply (zenon_L537_); trivial.
% 10.04/10.24 apply (zenon_L161_); trivial.
% 10.04/10.24 apply (zenon_L164_); trivial.
% 10.04/10.24 (* end of lemma zenon_L574_ *)
% 10.04/10.24 assert (zenon_L575_ : (~((op (e2) (e0)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (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) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((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 (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (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 (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (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 (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (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))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((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)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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 (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 (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (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) (e0)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((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 (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((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) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (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 (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (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))))) -> False).
% 10.04/10.24 do 0 intro. intros zenon_H221 zenon_H184 zenon_H25 zenon_H44 zenon_H18e zenon_H205 zenon_Hbb zenon_H17a zenon_H165 zenon_H1ea zenon_H16e zenon_H156 zenon_H90 zenon_H17c zenon_H132 zenon_H103 zenon_H1cb zenon_H108 zenon_Hf8 zenon_H158 zenon_H155 zenon_Hc5 zenon_H12f zenon_H150 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H1b4 zenon_Hce zenon_Hdd zenon_H1af zenon_Hd2 zenon_Hd3 zenon_Hc0 zenon_He7 zenon_H181 zenon_H42 zenon_H95 zenon_H64 zenon_H157 zenon_H14d zenon_H16b zenon_H1b1 zenon_H35 zenon_H159 zenon_H6f zenon_H198 zenon_H56 zenon_H58 zenon_H1b7 zenon_H18d zenon_H173 zenon_Hfd zenon_H1fb zenon_H1f8 zenon_H200 zenon_H177 zenon_Hf5 zenon_H1f0 zenon_H1f zenon_H1ef zenon_H114 zenon_H152 zenon_H204 zenon_H4a zenon_H144 zenon_H11d zenon_Hae zenon_H168 zenon_Hc6 zenon_H67 zenon_H16f zenon_Hab zenon_Hde zenon_H112 zenon_H1e6 zenon_H10b zenon_H18a zenon_H1e2 zenon_H97 zenon_Hb0 zenon_H8c zenon_H128 zenon_Hda zenon_H3c zenon_H1dd zenon_H12c zenon_Hec zenon_He3 zenon_H195 zenon_H192 zenon_H191 zenon_H27 zenon_H7a zenon_H7d zenon_H151 zenon_H1e zenon_H1de zenon_H84 zenon_H86 zenon_H100 zenon_H4c zenon_H53 zenon_He8 zenon_H5e zenon_H187 zenon_H43 zenon_H145.
% 10.04/10.24 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.04/10.24 apply (zenon_L560_); trivial.
% 10.04/10.24 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.04/10.24 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.04/10.24 apply (zenon_L561_); trivial.
% 10.04/10.24 apply (zenon_L574_); trivial.
% 10.04/10.24 exact (zenon_H221 zenon_Hcf).
% 10.04/10.24 (* end of lemma zenon_L575_ *)
% 10.04/10.24 assert (zenon_L576_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (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 (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (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 (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 (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 (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((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) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (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 (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((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) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((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)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (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 (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)) = (op (e2) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (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) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (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) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> False).
% 10.04/10.24 do 0 intro. intros zenon_H191 zenon_He8 zenon_H151 zenon_H84 zenon_H221 zenon_H7d zenon_H7a zenon_H195 zenon_He3 zenon_Hec zenon_H12c zenon_H1dd zenon_H1de zenon_H3c zenon_Hda zenon_H128 zenon_H8c zenon_Hb0 zenon_H97 zenon_H1e2 zenon_H18a zenon_H10b zenon_H1e6 zenon_H112 zenon_Hde zenon_Hab zenon_H16f zenon_H67 zenon_Hc6 zenon_H168 zenon_Hae zenon_H11d zenon_H144 zenon_H4a zenon_H204 zenon_H152 zenon_H114 zenon_H1ef zenon_H1f zenon_H1f0 zenon_Hf5 zenon_H177 zenon_H200 zenon_H1f8 zenon_H1fb zenon_Hfd zenon_H173 zenon_H18d zenon_H1b7 zenon_H58 zenon_H56 zenon_H198 zenon_H6f zenon_H159 zenon_H35 zenon_H1b1 zenon_H16b zenon_H14d zenon_H157 zenon_H64 zenon_H187 zenon_H95 zenon_H4c zenon_H42 zenon_H181 zenon_H53 zenon_He7 zenon_Hc0 zenon_Hd3 zenon_Hd2 zenon_H1af zenon_Hdd zenon_Hce zenon_H1b4 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H150 zenon_H12f zenon_Hc5 zenon_H155 zenon_H5e zenon_H145 zenon_H158 zenon_Hf8 zenon_H108 zenon_H1cb zenon_H103 zenon_H132 zenon_H86 zenon_H17c zenon_H90 zenon_H156 zenon_H16e zenon_H1ea zenon_H165 zenon_H17a zenon_Hbb zenon_H205 zenon_H18e zenon_H44 zenon_H11b zenon_H184 zenon_H25 zenon_H26 zenon_H1e zenon_H27 zenon_H24.
% 10.04/10.24 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.04/10.24 apply (zenon_L2_); trivial.
% 10.04/10.24 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.04/10.24 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.04/10.24 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.04/10.24 apply (zenon_L190_); trivial.
% 10.04/10.24 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.04/10.24 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.04/10.24 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.04/10.24 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.04/10.24 apply (zenon_L571_); trivial.
% 10.04/10.24 apply (zenon_L554_); trivial.
% 10.04/10.24 apply (zenon_L7_); trivial.
% 10.04/10.24 apply (zenon_L559_); trivial.
% 10.04/10.24 exact (zenon_H221 zenon_Hcf).
% 10.04/10.24 apply (zenon_L575_); trivial.
% 10.04/10.24 apply (zenon_L1_); trivial.
% 10.04/10.24 (* end of lemma zenon_L576_ *)
% 10.04/10.24 assert (zenon_L577_ : (~((op (e2) (e0)) = (e2))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((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) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (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 (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((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)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e0)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((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) (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) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (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) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (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 (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 (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))))) -> (~((e0) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (((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 (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((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) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((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 (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (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 (e1) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((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 (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)) = (op (e2) (e0)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e3) (e0)) = (e3))) -> False).
% 10.04/10.24 do 0 intro. intros zenon_H221 zenon_H25 zenon_H4a zenon_H1af zenon_H17a zenon_H118 zenon_H114 zenon_H112 zenon_H110 zenon_H12c zenon_H11b zenon_H128 zenon_H11d zenon_H173 zenon_H16e zenon_H169 zenon_H16b zenon_H16f zenon_H174 zenon_H156 zenon_H155 zenon_H157 zenon_H150 zenon_H12f zenon_H144 zenon_H3c zenon_H132 zenon_H145 zenon_H14d zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H165 zenon_H159 zenon_H168 zenon_H177 zenon_H18d zenon_H42 zenon_Hda zenon_Hc0 zenon_Hbb zenon_Hd2 zenon_Hce zenon_Hc6 zenon_Hc5 zenon_Hd3 zenon_Hde zenon_H6f zenon_Hb0 zenon_H97 zenon_H95 zenon_H35 zenon_Hab zenon_H8c zenon_H86 zenon_H7a zenon_H7d zenon_H90 zenon_Hae zenon_Hdd zenon_H44 zenon_Hf8 zenon_Hec zenon_He8 zenon_He7 zenon_Hf5 zenon_He3 zenon_H18e zenon_H10b zenon_Hfd zenon_H103 zenon_H108 zenon_H181 zenon_H17c zenon_H184 zenon_H187 zenon_H18a zenon_H1ea zenon_H24 zenon_H58 zenon_H64 zenon_H5e zenon_H1f zenon_H67 zenon_H191 zenon_H216 zenon_H212 zenon_H195 zenon_H1dd zenon_H1de zenon_H1e2 zenon_H1e6 zenon_H204 zenon_H1ef zenon_H1f0 zenon_H200 zenon_H1f8 zenon_H1fb zenon_H1b7 zenon_H198 zenon_H1b1 zenon_H1b4 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H1cb zenon_H205 zenon_H51 zenon_H53 zenon_H1e zenon_H4c zenon_H28 zenon_H220.
% 10.04/10.24 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.04/10.24 apply (zenon_L565_); trivial.
% 10.04/10.24 exact (zenon_H221 zenon_Hcf).
% 10.04/10.24 (* end of lemma zenon_L577_ *)
% 10.04/10.24 assert (zenon_L578_ : (~((op (e3) (e0)) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (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 (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((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 (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((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 (e1) (e3)) = (op (e2) (e3)))) -> (~((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)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (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 (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 (e1) (e1)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((e0) = (e2))) -> (((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 (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 (e0) (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) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (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) (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) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (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 (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((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)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (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 (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 (e2) (e0)) = (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 (e3) (e1)) = (op (e3) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e2) (e0)) = (e2))) -> False).
% 10.04/10.24 do 0 intro. intros zenon_H220 zenon_H4c zenon_H1e zenon_H53 zenon_H51 zenon_H205 zenon_H1cb zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H1b4 zenon_H1b1 zenon_H198 zenon_H1b7 zenon_H1fb zenon_H1f8 zenon_H200 zenon_H1f0 zenon_H1ef zenon_H204 zenon_H1e6 zenon_H1e2 zenon_H1de zenon_H1dd zenon_H195 zenon_H212 zenon_H216 zenon_H191 zenon_H67 zenon_H1f zenon_H5e zenon_H64 zenon_H58 zenon_H24 zenon_H1ea zenon_H18a zenon_H187 zenon_H184 zenon_H17c zenon_H181 zenon_H108 zenon_H103 zenon_Hfd zenon_H10b zenon_H18e zenon_He3 zenon_Hf5 zenon_He7 zenon_He8 zenon_Hec zenon_Hf8 zenon_H44 zenon_Hdd zenon_Hae zenon_H90 zenon_H7d zenon_H7a zenon_H86 zenon_H8c zenon_Hab zenon_H35 zenon_H95 zenon_H97 zenon_Hb0 zenon_H6f zenon_Hde zenon_Hd3 zenon_Hc5 zenon_Hc6 zenon_Hce zenon_Hd2 zenon_Hbb zenon_Hc0 zenon_Hda zenon_H42 zenon_H18d zenon_H177 zenon_H168 zenon_H159 zenon_H165 zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H14d zenon_H145 zenon_H132 zenon_H3c zenon_H144 zenon_H12f zenon_H150 zenon_H157 zenon_H155 zenon_H156 zenon_H174 zenon_H16f zenon_H16b zenon_H169 zenon_H16e zenon_H173 zenon_H11d zenon_H128 zenon_H11b zenon_H12c zenon_H110 zenon_H112 zenon_H114 zenon_H118 zenon_H17a zenon_H1af zenon_H4a zenon_H25 zenon_H221.
% 10.04/10.24 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.04/10.24 apply (zenon_L577_); trivial.
% 10.04/10.24 apply (zenon_L343_); trivial.
% 10.04/10.24 (* end of lemma zenon_L578_ *)
% 10.04/10.24 assert (zenon_L579_ : (~((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((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) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (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 (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((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)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e0)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((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) (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) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (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) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e0))) -> (~((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 (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))))) -> (~((e0) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (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 (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((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) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((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 (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (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 (e1) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((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 (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)) = (op (e2) (e0)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (e1))) -> False).
% 10.04/10.24 do 0 intro. intros zenon_H25 zenon_H4a zenon_H1af zenon_H17a zenon_H118 zenon_H114 zenon_H112 zenon_H110 zenon_H12c zenon_H11b zenon_H128 zenon_H11d zenon_H173 zenon_H16e zenon_H169 zenon_H16b zenon_H16f zenon_H174 zenon_H156 zenon_H155 zenon_H157 zenon_H150 zenon_H12f zenon_H144 zenon_H3c zenon_H132 zenon_H145 zenon_H14d zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H165 zenon_H159 zenon_H168 zenon_H177 zenon_H18d zenon_H42 zenon_Hda zenon_Hc0 zenon_Hbb zenon_Hd2 zenon_Hce zenon_Hc6 zenon_Hc5 zenon_Hd3 zenon_Hde zenon_H6f zenon_Hb0 zenon_H97 zenon_H95 zenon_H35 zenon_Hab zenon_Hb1 zenon_H8c zenon_H8d zenon_H86 zenon_H7a zenon_H7d zenon_H90 zenon_Hae zenon_Hdd zenon_H44 zenon_Hf8 zenon_Hec zenon_He7 zenon_Hf5 zenon_He3 zenon_H18e zenon_H10b zenon_Hfd zenon_H103 zenon_H108 zenon_H181 zenon_H17c zenon_H184 zenon_H187 zenon_H18a zenon_H1ea zenon_H24 zenon_H58 zenon_H64 zenon_H5e zenon_H1f zenon_H67 zenon_H191 zenon_H216 zenon_H212 zenon_H195 zenon_H1dd zenon_H1de zenon_H1e2 zenon_H1e6 zenon_H204 zenon_H1ef zenon_H1f0 zenon_H200 zenon_H1f8 zenon_H1fb zenon_H1b7 zenon_H198 zenon_H1b1 zenon_H1b4 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H1cb zenon_H205 zenon_H51 zenon_H53 zenon_H1e zenon_H4c zenon_H223.
% 10.04/10.25 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.04/10.25 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.04/10.25 apply (zenon_L520_); trivial.
% 10.04/10.25 exact (zenon_H223 zenon_H15a).
% 10.04/10.25 apply (zenon_L343_); trivial.
% 10.04/10.25 (* end of lemma zenon_L579_ *)
% 10.04/10.25 assert (zenon_L580_ : (~((op (e1) (e0)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (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 (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((op (e3) (e3)) = (e3)) -> ((op (e0) (e3)) = (e0)) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (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) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((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 (e1) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (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 (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((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 (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (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))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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 (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 (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (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) (e0)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((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 (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((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) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e0)) = (e0))) -> False).
% 10.04/10.25 do 0 intro. intros zenon_H223 zenon_H24 zenon_H26 zenon_H11b zenon_Hc8 zenon_H184 zenon_H21d zenon_H151 zenon_H84 zenon_H43 zenon_Hb1 zenon_He8 zenon_H27 zenon_H1e zenon_H44 zenon_Haf zenon_H18e zenon_H205 zenon_Hbb zenon_H17a zenon_H165 zenon_H1ea zenon_H16e zenon_H156 zenon_H90 zenon_H17c zenon_H7d zenon_H86 zenon_H132 zenon_H103 zenon_H1cb zenon_H108 zenon_Hf8 zenon_H191 zenon_H192 zenon_H158 zenon_H145 zenon_H5e zenon_H155 zenon_H91 zenon_Hc5 zenon_H12f zenon_H150 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H1b4 zenon_Hce zenon_Hdd zenon_H1af zenon_Hd2 zenon_Hd3 zenon_Hc0 zenon_He7 zenon_H53 zenon_H181 zenon_H42 zenon_H4c zenon_H95 zenon_H187 zenon_H64 zenon_H157 zenon_H14d zenon_H16b zenon_H1b1 zenon_H35 zenon_H159 zenon_H6f zenon_H198 zenon_H56 zenon_H58 zenon_H7a zenon_H1b7 zenon_H18d zenon_H173 zenon_Hfd zenon_H1fb zenon_H1f8 zenon_H200 zenon_H177 zenon_Hf5 zenon_H1f0 zenon_H1f zenon_H195 zenon_H1ef zenon_H114 zenon_H152 zenon_H204 zenon_H4a zenon_H144 zenon_H11d zenon_Hae zenon_H168 zenon_Hc6 zenon_H67 zenon_H16f zenon_Hab zenon_Hde zenon_H112 zenon_H1e6 zenon_H10b zenon_H18a zenon_H1e2 zenon_H97 zenon_Hb0 zenon_H8c zenon_H128 zenon_Hda zenon_H3c zenon_H1de zenon_H1dd zenon_H12c zenon_Hec zenon_He3 zenon_H9a zenon_H25.
% 10.04/10.25 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.04/10.25 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.04/10.25 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 10.04/10.25 exact (zenon_H25 zenon_H2a).
% 10.04/10.25 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 10.04/10.25 apply (zenon_L465_); trivial.
% 10.04/10.25 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 10.04/10.25 apply (zenon_L481_); trivial.
% 10.04/10.25 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 10.04/10.25 exact (zenon_H56 zenon_H2c).
% 10.04/10.25 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 10.04/10.25 exact (zenon_H223 zenon_H15a).
% 10.04/10.25 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 10.04/10.25 apply (zenon_L551_); trivial.
% 10.04/10.25 apply (zenon_L62_); trivial.
% 10.04/10.25 apply (zenon_L553_); trivial.
% 10.04/10.25 apply (zenon_L161_); trivial.
% 10.04/10.25 (* end of lemma zenon_L580_ *)
% 10.04/10.25 assert (zenon_L581_ : (~((op (e0) (e0)) = (e0))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (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 (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 (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 (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((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) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (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 (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((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)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((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)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (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 (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)) = (op (e2) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e1) (e1)) = (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)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (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 (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (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) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e1) (e1)) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e2) (e2)) = (e0))) -> ((op (e0) (e3)) = (e0)) -> ((op (e3) (e3)) = (e3)) -> ((~((op (e3) (e3)) = (e1)))\/((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) (e1)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (e1))) -> False).
% 10.04/10.25 do 0 intro. intros zenon_H25 zenon_H9a zenon_He3 zenon_Hec zenon_H12c zenon_H1dd zenon_H1de zenon_H3c zenon_Hda zenon_H128 zenon_H8c zenon_Hb0 zenon_H97 zenon_H1e2 zenon_H18a zenon_H10b zenon_H1e6 zenon_H112 zenon_Hde zenon_Hab zenon_H16f zenon_H67 zenon_Hc6 zenon_H168 zenon_Hae zenon_H11d zenon_H144 zenon_H4a zenon_H204 zenon_H152 zenon_H114 zenon_H1ef zenon_H195 zenon_H1f zenon_H1f0 zenon_Hf5 zenon_H177 zenon_H200 zenon_H1f8 zenon_H1fb zenon_Hfd zenon_H173 zenon_H18d zenon_H1b7 zenon_H7a zenon_H58 zenon_H56 zenon_H198 zenon_H6f zenon_H159 zenon_H35 zenon_H1b1 zenon_H16b zenon_H14d zenon_H157 zenon_H64 zenon_H187 zenon_H95 zenon_H4c zenon_H42 zenon_H181 zenon_H53 zenon_He7 zenon_Hc0 zenon_Hd3 zenon_Hd2 zenon_H1af zenon_Hdd zenon_Hce zenon_H1b4 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H150 zenon_H12f zenon_Hc5 zenon_H91 zenon_H155 zenon_H5e zenon_H145 zenon_H158 zenon_H192 zenon_H191 zenon_Hf8 zenon_H108 zenon_H1cb zenon_H103 zenon_H132 zenon_H86 zenon_H7d zenon_H17c zenon_H90 zenon_H156 zenon_H16e zenon_H1ea zenon_H165 zenon_H17a zenon_Hbb zenon_H205 zenon_H18e zenon_Haf zenon_H44 zenon_H1e zenon_H27 zenon_He8 zenon_Hb1 zenon_H43 zenon_H84 zenon_H151 zenon_H21d zenon_H184 zenon_H11b zenon_H26 zenon_H24 zenon_H223.
% 10.04/10.25 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.04/10.25 apply (zenon_L580_); trivial.
% 10.04/10.25 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.04/10.25 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.04/10.25 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 10.04/10.25 exact (zenon_H25 zenon_H2a).
% 10.04/10.25 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 10.04/10.25 apply (zenon_L536_); trivial.
% 10.04/10.25 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 10.04/10.25 apply (zenon_L541_); trivial.
% 10.04/10.25 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 10.04/10.25 exact (zenon_H56 zenon_H2c).
% 10.04/10.25 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 10.04/10.25 exact (zenon_H223 zenon_H15a).
% 10.04/10.25 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 10.04/10.25 apply (zenon_L552_); trivial.
% 10.04/10.25 apply (zenon_L62_); trivial.
% 10.04/10.25 apply (zenon_L553_); trivial.
% 10.04/10.25 apply (zenon_L161_); trivial.
% 10.04/10.25 (* end of lemma zenon_L581_ *)
% 10.04/10.25 assert (zenon_L582_ : (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (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 (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 (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 (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((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) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (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 (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((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)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((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)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (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 (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)) = (op (e2) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (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 (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (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) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (e0))) -> ((op (e3) (e3)) = (e3)) -> ((~((op (e3) (e3)) = (e1)))\/((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) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> False).
% 10.04/10.25 do 0 intro. intros zenon_He3 zenon_Hec zenon_H12c zenon_H1dd zenon_H1de zenon_H3c zenon_Hda zenon_H128 zenon_H8c zenon_Hb0 zenon_H97 zenon_H1e2 zenon_H18a zenon_H10b zenon_H1e6 zenon_H112 zenon_Hde zenon_Hab zenon_H16f zenon_H67 zenon_Hc6 zenon_H168 zenon_Hae zenon_H11d zenon_H144 zenon_H4a zenon_H204 zenon_H152 zenon_H114 zenon_H1ef zenon_H195 zenon_H1f zenon_H1f0 zenon_Hf5 zenon_H177 zenon_H200 zenon_H1f8 zenon_H1fb zenon_Hfd zenon_H173 zenon_H18d zenon_H1b7 zenon_H7a zenon_H58 zenon_H56 zenon_H198 zenon_H6f zenon_H159 zenon_H35 zenon_H1b1 zenon_H16b zenon_H14d zenon_H157 zenon_H64 zenon_H187 zenon_H95 zenon_H4c zenon_H42 zenon_H181 zenon_H53 zenon_He7 zenon_Hc0 zenon_Hd3 zenon_Hd2 zenon_H1af zenon_Hdd zenon_Hce zenon_H1b4 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H150 zenon_H12f zenon_Hc5 zenon_H155 zenon_H5e zenon_H145 zenon_H158 zenon_Hf8 zenon_H108 zenon_H1cb zenon_H103 zenon_H132 zenon_H86 zenon_H7d zenon_H17c zenon_H90 zenon_H156 zenon_H16e zenon_H1ea zenon_H165 zenon_H17a zenon_Hbb zenon_H205 zenon_H18e zenon_H44 zenon_Hb1 zenon_H84 zenon_H151 zenon_H21d zenon_H184 zenon_H11b zenon_H223 zenon_H191 zenon_H25 zenon_H26 zenon_H1e zenon_H27 zenon_H24.
% 10.04/10.25 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.04/10.25 apply (zenon_L2_); trivial.
% 10.04/10.25 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.04/10.25 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.04/10.25 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.04/10.25 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.04/10.25 apply (zenon_L190_); trivial.
% 10.04/10.25 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.04/10.25 apply (zenon_L581_); trivial.
% 10.04/10.25 apply (zenon_L559_); trivial.
% 10.04/10.25 apply (zenon_L563_); trivial.
% 10.04/10.25 apply (zenon_L1_); trivial.
% 10.04/10.25 exact (zenon_H223 zenon_H15a).
% 10.04/10.25 (* end of lemma zenon_L582_ *)
% 10.04/10.25 assert (zenon_L583_ : (~((op (e3) (e0)) = (e3))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (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 (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((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 (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((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 (e1) (e3)) = (op (e2) (e3)))) -> (~((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)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (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 (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 (e3) (e1)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((e0) = (e2))) -> (((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 (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 (e0) (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 (e2) (e2)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (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) (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) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (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 (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((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)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (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 (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 (e2) (e0)) = (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 (e3) (e1)) = (op (e3) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e1) (e0)) = (e1))) -> False).
% 10.04/10.25 do 0 intro. intros zenon_H220 zenon_H4c zenon_H1e zenon_H53 zenon_H51 zenon_H205 zenon_H1cb zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H1b4 zenon_H1b1 zenon_H198 zenon_H1b7 zenon_H1fb zenon_H1f8 zenon_H200 zenon_H1f0 zenon_H1ef zenon_H204 zenon_H1e6 zenon_H1e2 zenon_H1de zenon_H1dd zenon_H195 zenon_H212 zenon_H216 zenon_H191 zenon_H67 zenon_H1f zenon_H5e zenon_H64 zenon_H58 zenon_H24 zenon_H1ea zenon_H18a zenon_H187 zenon_H184 zenon_H17c zenon_H181 zenon_H108 zenon_H103 zenon_Hfd zenon_H10b zenon_H18e zenon_He3 zenon_Hf5 zenon_He7 zenon_Hec zenon_Hf8 zenon_H44 zenon_Hdd zenon_Hae zenon_H90 zenon_H7d zenon_H7a zenon_H86 zenon_H8c zenon_Hb1 zenon_Hab zenon_H35 zenon_H95 zenon_H97 zenon_Hb0 zenon_H6f zenon_Hde zenon_Hd3 zenon_Hc5 zenon_Hc6 zenon_Hce zenon_Hd2 zenon_Hbb zenon_Hc0 zenon_Hda zenon_H42 zenon_H18d zenon_H177 zenon_H168 zenon_H159 zenon_H165 zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H14d zenon_H145 zenon_H132 zenon_H3c zenon_H144 zenon_H12f zenon_H150 zenon_H157 zenon_H155 zenon_H156 zenon_H174 zenon_H16f zenon_H16b zenon_H169 zenon_H16e zenon_H173 zenon_H11d zenon_H128 zenon_H11b zenon_H12c zenon_H110 zenon_H112 zenon_H114 zenon_H118 zenon_H17a zenon_H1af zenon_H4a zenon_H25 zenon_H223.
% 10.04/10.25 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.04/10.25 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.04/10.25 apply (zenon_L565_); trivial.
% 10.04/10.25 exact (zenon_H223 zenon_H15a).
% 10.04/10.25 apply (zenon_L343_); trivial.
% 10.04/10.25 (* end of lemma zenon_L583_ *)
% 10.04/10.25 assert (zenon_L584_ : (~((op (e2) (e0)) = (e2))) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e0) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (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 (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((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 (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((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 (e1) (e3)) = (op (e2) (e3)))) -> (~((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)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (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 (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 (e3) (e1)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((e0) = (e2))) -> (((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 (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 (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (((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))))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (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) (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) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (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 (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((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)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (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 (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 (e2) (e0)) = (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 (e3) (e1)) = (op (e3) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e1) (e0)) = (e1))) -> False).
% 10.04/10.25 do 0 intro. intros zenon_H221 zenon_H4c zenon_H1e zenon_H53 zenon_H51 zenon_H205 zenon_H1cb zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H1b4 zenon_H1b1 zenon_H198 zenon_H1b7 zenon_H1fb zenon_H1f8 zenon_H200 zenon_H1f0 zenon_H1ef zenon_H204 zenon_H1e6 zenon_H1e2 zenon_H1de zenon_H1dd zenon_H195 zenon_H212 zenon_H216 zenon_H191 zenon_H67 zenon_H1f zenon_H5e zenon_H64 zenon_H58 zenon_H24 zenon_H1ea zenon_H18a zenon_H187 zenon_H184 zenon_H17c zenon_H181 zenon_H108 zenon_H103 zenon_Hfd zenon_H10b zenon_H18e zenon_He3 zenon_Hf5 zenon_He7 zenon_Hec zenon_Hf8 zenon_H44 zenon_Hdd zenon_Hae zenon_H90 zenon_H7d zenon_H7a zenon_H86 zenon_H8d zenon_H8c zenon_Hab zenon_H35 zenon_H95 zenon_H97 zenon_Hb0 zenon_H6f zenon_Hde zenon_Hd3 zenon_Hc5 zenon_Hc6 zenon_Hce zenon_Hd2 zenon_Hbb zenon_Hc0 zenon_Hda zenon_H42 zenon_H18d zenon_H177 zenon_H168 zenon_H159 zenon_H165 zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H14d zenon_H145 zenon_H132 zenon_H3c zenon_H144 zenon_H12f zenon_H150 zenon_H157 zenon_H155 zenon_H156 zenon_H174 zenon_H16f zenon_H16b zenon_H169 zenon_H16e zenon_H173 zenon_H11d zenon_H128 zenon_H11b zenon_H12c zenon_H110 zenon_H112 zenon_H114 zenon_H118 zenon_H17a zenon_H1af zenon_H4a zenon_H25 zenon_H223.
% 10.04/10.25 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.04/10.25 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.04/10.25 apply (zenon_L567_); trivial.
% 10.04/10.25 exact (zenon_H223 zenon_H15a).
% 10.04/10.25 apply (zenon_L343_); trivial.
% 10.04/10.25 (* end of lemma zenon_L584_ *)
% 10.04/10.25 assert (zenon_L585_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> ((op (e1) (e3)) = (e1)) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> False).
% 10.04/10.25 do 0 intro. intros zenon_Hd2 zenon_H184 zenon_H25 zenon_H1b4 zenon_H27 zenon_H221 zenon_H35 zenon_Hdd zenon_H5e zenon_H44 zenon_Hb8 zenon_Hb1 zenon_H181 zenon_H43 zenon_Hb0 zenon_H191 zenon_Haf zenon_H192 zenon_H195 zenon_H198 zenon_H1af zenon_H56 zenon_H12c zenon_H84 zenon_H205 zenon_H95 zenon_H53 zenon_H9a zenon_H18e.
% 10.04/10.25 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.04/10.25 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 10.04/10.25 exact (zenon_H25 zenon_H2a).
% 10.04/10.25 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 10.04/10.25 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 10.04/10.25 exact (zenon_H56 zenon_H2c).
% 10.04/10.25 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 10.04/10.25 apply (zenon_L467_); trivial.
% 10.04/10.25 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 10.04/10.25 apply (zenon_L555_); trivial.
% 10.04/10.25 apply (zenon_L572_); trivial.
% 10.04/10.25 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 10.04/10.25 apply (zenon_L557_); trivial.
% 10.04/10.25 apply (zenon_L558_); trivial.
% 10.04/10.25 apply (zenon_L164_); trivial.
% 10.04/10.25 (* end of lemma zenon_L585_ *)
% 10.04/10.25 assert (zenon_L586_ : (~((op (e2) (e0)) = (e2))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (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) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((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 (e1) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (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 (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((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 (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (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))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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 (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 (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (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) (e0)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((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 (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((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) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> False).
% 10.04/10.25 do 0 intro. intros zenon_H221 zenon_H223 zenon_H11b zenon_H184 zenon_H21d zenon_H151 zenon_H84 zenon_H44 zenon_H18e zenon_H205 zenon_Hbb zenon_H17a zenon_H165 zenon_H1ea zenon_H16e zenon_H156 zenon_H90 zenon_H17c zenon_H7d zenon_H86 zenon_H132 zenon_H103 zenon_H1cb zenon_H108 zenon_Hf8 zenon_H158 zenon_H145 zenon_H5e zenon_H155 zenon_Hc5 zenon_H12f zenon_H150 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H1b4 zenon_Hce zenon_Hdd zenon_H1af zenon_Hd2 zenon_Hd3 zenon_Hc0 zenon_He7 zenon_H53 zenon_H181 zenon_H42 zenon_H4c zenon_H95 zenon_H187 zenon_H64 zenon_H157 zenon_H14d zenon_H16b zenon_H1b1 zenon_H35 zenon_H159 zenon_H6f zenon_H198 zenon_H56 zenon_H58 zenon_H7a zenon_H1b7 zenon_H18d zenon_H173 zenon_Hfd zenon_H1fb zenon_H1f8 zenon_H200 zenon_H177 zenon_Hf5 zenon_H1f0 zenon_H1f zenon_H195 zenon_H1ef zenon_H114 zenon_H152 zenon_H204 zenon_H4a zenon_H144 zenon_H11d zenon_Hae zenon_H168 zenon_Hc6 zenon_H67 zenon_H16f zenon_Hab zenon_Hde zenon_H112 zenon_H1e6 zenon_H10b zenon_H18a zenon_H1e2 zenon_H97 zenon_Hb0 zenon_H8c zenon_H128 zenon_Hda zenon_H3c zenon_H1de zenon_H1dd zenon_H12c zenon_Hec zenon_He3 zenon_H191 zenon_H25 zenon_H26 zenon_H1e zenon_H27 zenon_H24.
% 10.04/10.25 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.04/10.25 apply (zenon_L2_); trivial.
% 10.04/10.25 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.04/10.25 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.04/10.25 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.04/10.25 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.04/10.25 apply (zenon_L190_); trivial.
% 10.04/10.25 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.04/10.25 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.04/10.25 apply (zenon_L581_); trivial.
% 10.04/10.25 apply (zenon_L585_); trivial.
% 10.04/10.25 exact (zenon_H221 zenon_Hcf).
% 10.04/10.25 apply (zenon_L575_); trivial.
% 10.04/10.25 apply (zenon_L1_); trivial.
% 10.04/10.25 exact (zenon_H223 zenon_H15a).
% 10.04/10.25 (* end of lemma zenon_L586_ *)
% 10.04/10.25 assert (zenon_L587_ : (~((op (e2) (e0)) = (e2))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((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) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (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 (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((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)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e0)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((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) (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) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (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) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (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 (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 (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))))) -> (~((e0) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (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 (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((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) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((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 (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (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 (e1) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((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 (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)) = (op (e2) (e0)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e1) (e0)) = (e1))) -> False).
% 10.04/10.26 do 0 intro. intros zenon_H221 zenon_H25 zenon_H4a zenon_H1af zenon_H17a zenon_H118 zenon_H114 zenon_H112 zenon_H110 zenon_H12c zenon_H11b zenon_H128 zenon_H11d zenon_H173 zenon_H16e zenon_H169 zenon_H16b zenon_H16f zenon_H174 zenon_H156 zenon_H155 zenon_H157 zenon_H150 zenon_H12f zenon_H144 zenon_H3c zenon_H132 zenon_H145 zenon_H14d zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H165 zenon_H159 zenon_H168 zenon_H177 zenon_H18d zenon_H42 zenon_Hda zenon_Hc0 zenon_Hbb zenon_Hd2 zenon_Hce zenon_Hc6 zenon_Hc5 zenon_Hd3 zenon_Hde zenon_H6f zenon_Hb0 zenon_H97 zenon_H95 zenon_H35 zenon_Hab zenon_H8c zenon_H86 zenon_H7a zenon_H7d zenon_H90 zenon_Hae zenon_Hdd zenon_H44 zenon_Hf8 zenon_Hec zenon_He7 zenon_Hf5 zenon_He3 zenon_H18e zenon_H10b zenon_Hfd zenon_H103 zenon_H108 zenon_H181 zenon_H17c zenon_H184 zenon_H187 zenon_H18a zenon_H1ea zenon_H24 zenon_H58 zenon_H64 zenon_H5e zenon_H1f zenon_H67 zenon_H191 zenon_H216 zenon_H212 zenon_H195 zenon_H1dd zenon_H1de zenon_H1e2 zenon_H1e6 zenon_H204 zenon_H1ef zenon_H1f0 zenon_H200 zenon_H1f8 zenon_H1fb zenon_H1b7 zenon_H198 zenon_H1b1 zenon_H1b4 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H1cb zenon_H205 zenon_H51 zenon_H53 zenon_H1e zenon_H4c zenon_H220 zenon_H223.
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.04/10.26 apply (zenon_L577_); trivial.
% 10.04/10.26 exact (zenon_H223 zenon_H15a).
% 10.04/10.26 apply (zenon_L343_); trivial.
% 10.04/10.26 (* end of lemma zenon_L587_ *)
% 10.04/10.26 assert (zenon_L588_ : ((~((op (e1) (e1)) = (e0)))\/(~((op (e1) (e0)) = (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/(~((op (e3) (e0)) = (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e1)) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((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) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (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 (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((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)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e0)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((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) (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 (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (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) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (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 (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 (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 (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (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 (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((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) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((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 (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (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 (e1) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((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 (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)) = (op (e2) (e0)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> ((~((op (e2) (e2)) = (e0)))\/(~((op (e2) (e0)) = (e2)))) -> False).
% 10.04/10.26 do 0 intro. intros zenon_H224 zenon_H225 zenon_H25 zenon_H1f zenon_H1e zenon_H1af zenon_H17a zenon_H118 zenon_H114 zenon_H112 zenon_H110 zenon_H12c zenon_H11b zenon_H128 zenon_H11d zenon_H173 zenon_H16e zenon_H169 zenon_H16b zenon_H16f zenon_H174 zenon_H156 zenon_H155 zenon_H157 zenon_H150 zenon_H12f zenon_H144 zenon_H132 zenon_H145 zenon_H14d zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H165 zenon_H159 zenon_H168 zenon_H177 zenon_H18d zenon_Hda zenon_Hc0 zenon_Hbb zenon_Hd2 zenon_Hce zenon_Hc6 zenon_Hc5 zenon_Hd3 zenon_Hde zenon_H6f zenon_Hb0 zenon_H97 zenon_H95 zenon_Hab zenon_H8c zenon_H86 zenon_H7a zenon_H7d zenon_H90 zenon_Hae zenon_Hdd zenon_Hf8 zenon_Hec zenon_He7 zenon_Hf5 zenon_He3 zenon_H18e zenon_H10b zenon_Hfd zenon_H103 zenon_H108 zenon_H181 zenon_H17c zenon_H184 zenon_H187 zenon_H18a zenon_H1ea zenon_H58 zenon_H64 zenon_H5e zenon_H67 zenon_H191 zenon_H216 zenon_H212 zenon_H195 zenon_H1dd zenon_H1de zenon_H1e2 zenon_H1e6 zenon_H204 zenon_H1ef zenon_H1f0 zenon_H200 zenon_H1f8 zenon_H1fb zenon_H1b7 zenon_H198 zenon_H1b1 zenon_H1b4 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H1cb zenon_H205 zenon_H53 zenon_H4c zenon_H24 zenon_H26 zenon_H42 zenon_H44 zenon_H3c zenon_H35 zenon_H4a zenon_H21d zenon_H226.
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_He8 | zenon_intro zenon_H223 ].
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H221 ].
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H8d | zenon_intro zenon_H220 ].
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.04/10.26 exact (zenon_H25 zenon_H2a).
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.04/10.26 apply (zenon_L1_); trivial.
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.04/10.26 apply (zenon_L8_); trivial.
% 10.04/10.26 apply (zenon_L521_); trivial.
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.04/10.26 apply (zenon_L564_); trivial.
% 10.04/10.26 apply (zenon_L521_); trivial.
% 10.04/10.26 apply (zenon_L547_); trivial.
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.04/10.26 exact (zenon_H25 zenon_H2a).
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.04/10.26 apply (zenon_L1_); trivial.
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.04/10.26 apply (zenon_L8_); trivial.
% 10.04/10.26 apply (zenon_L566_); trivial.
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.04/10.26 apply (zenon_L564_); trivial.
% 10.04/10.26 apply (zenon_L566_); trivial.
% 10.04/10.26 apply (zenon_L547_); trivial.
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H8d | zenon_intro zenon_H220 ].
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.04/10.26 exact (zenon_H25 zenon_H2a).
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.04/10.26 apply (zenon_L1_); trivial.
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.04/10.26 apply (zenon_L8_); trivial.
% 10.04/10.26 apply (zenon_L568_); trivial.
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.04/10.26 apply (zenon_L576_); trivial.
% 10.04/10.26 apply (zenon_L568_); trivial.
% 10.04/10.26 apply (zenon_L547_); trivial.
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.04/10.26 exact (zenon_H25 zenon_H2a).
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.04/10.26 apply (zenon_L1_); trivial.
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.04/10.26 apply (zenon_L8_); trivial.
% 10.04/10.26 apply (zenon_L578_); trivial.
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.04/10.26 apply (zenon_L576_); trivial.
% 10.04/10.26 apply (zenon_L578_); trivial.
% 10.04/10.26 apply (zenon_L547_); trivial.
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H221 ].
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H8d | zenon_intro zenon_H220 ].
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.04/10.26 exact (zenon_H25 zenon_H2a).
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.04/10.26 apply (zenon_L1_); trivial.
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.04/10.26 apply (zenon_L8_); trivial.
% 10.04/10.26 apply (zenon_L579_); trivial.
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.04/10.26 apply (zenon_L582_); trivial.
% 10.04/10.26 apply (zenon_L579_); trivial.
% 10.04/10.26 apply (zenon_L547_); trivial.
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.04/10.26 exact (zenon_H25 zenon_H2a).
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.04/10.26 apply (zenon_L1_); trivial.
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.04/10.26 apply (zenon_L8_); trivial.
% 10.04/10.26 apply (zenon_L583_); trivial.
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.04/10.26 apply (zenon_L582_); trivial.
% 10.04/10.26 apply (zenon_L583_); trivial.
% 10.04/10.26 apply (zenon_L547_); trivial.
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H8d | zenon_intro zenon_H220 ].
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.04/10.26 exact (zenon_H25 zenon_H2a).
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.04/10.26 apply (zenon_L1_); trivial.
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.04/10.26 apply (zenon_L8_); trivial.
% 10.04/10.26 apply (zenon_L584_); trivial.
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.04/10.26 apply (zenon_L586_); trivial.
% 10.04/10.26 apply (zenon_L584_); trivial.
% 10.04/10.26 apply (zenon_L547_); trivial.
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.04/10.26 exact (zenon_H25 zenon_H2a).
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.04/10.26 apply (zenon_L1_); trivial.
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.04/10.26 apply (zenon_L8_); trivial.
% 10.04/10.26 apply (zenon_L587_); trivial.
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.04/10.26 apply (zenon_L586_); trivial.
% 10.04/10.26 apply (zenon_L587_); trivial.
% 10.04/10.26 apply (zenon_L547_); trivial.
% 10.04/10.26 (* end of lemma zenon_L588_ *)
% 10.04/10.26 assert (zenon_L589_ : (((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).
% 10.04/10.26 do 0 intro. intros zenon_H24 zenon_H25 zenon_H56 zenon_H132 zenon_H3b zenon_H28.
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H2a | zenon_intro zenon_H29 ].
% 10.04/10.26 exact (zenon_H25 zenon_H2a).
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_H2c | zenon_intro zenon_H2b ].
% 10.04/10.26 exact (zenon_H56 zenon_H2c).
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H32 | zenon_intro zenon_H31 ].
% 10.04/10.26 elim (classic ((op (e0) (e2)) = (op (e0) (e2)))); [ zenon_intro zenon_H227 | zenon_intro zenon_H134 ].
% 10.04/10.26 cut (((op (e0) (e2)) = (op (e0) (e2))) = ((op (e0) (e0)) = (op (e0) (e2)))).
% 10.04/10.26 intro zenon_D_pnotp.
% 10.04/10.26 apply zenon_H132.
% 10.04/10.26 rewrite <- zenon_D_pnotp.
% 10.04/10.26 exact zenon_H227.
% 10.04/10.26 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H134].
% 10.04/10.26 cut (((op (e0) (e2)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H228].
% 10.04/10.26 congruence.
% 10.04/10.26 cut (((op (e0) (e2)) = (e2)) = ((op (e0) (e2)) = (op (e0) (e0)))).
% 10.04/10.26 intro zenon_D_pnotp.
% 10.04/10.26 apply zenon_H228.
% 10.04/10.26 rewrite <- zenon_D_pnotp.
% 10.04/10.26 exact zenon_H3b.
% 10.04/10.26 cut (((e2) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H229].
% 10.04/10.26 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H134].
% 10.04/10.26 congruence.
% 10.04/10.26 apply zenon_H134. apply refl_equal.
% 10.04/10.26 apply zenon_H229. apply sym_equal. exact zenon_H32.
% 10.04/10.26 apply zenon_H134. apply refl_equal.
% 10.04/10.26 apply zenon_H134. apply refl_equal.
% 10.04/10.26 exact (zenon_H28 zenon_H31).
% 10.04/10.26 (* end of lemma zenon_L589_ *)
% 10.04/10.26 assert (zenon_L590_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e2)) -> ((op (e0) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 10.04/10.26 do 0 intro. intros zenon_H64 zenon_H56 zenon_H1f zenon_H1d zenon_H35 zenon_H3b zenon_H43 zenon_H5e.
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.04/10.26 exact (zenon_H56 zenon_H2c).
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.04/10.26 apply (zenon_L1_); trivial.
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.04/10.26 apply (zenon_L70_); trivial.
% 10.04/10.26 apply (zenon_L573_); trivial.
% 10.04/10.26 (* end of lemma zenon_L590_ *)
% 10.04/10.26 assert (zenon_L591_ : ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((e0) = (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)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> False).
% 10.04/10.26 do 0 intro. intros zenon_H4a zenon_H1f zenon_H1d zenon_H35 zenon_H5e zenon_H64 zenon_H25 zenon_H56 zenon_H132 zenon_H3b zenon_H24.
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.04/10.26 apply (zenon_L589_); trivial.
% 10.04/10.26 apply (zenon_L590_); trivial.
% 10.04/10.26 (* end of lemma zenon_L591_ *)
% 10.04/10.26 assert (zenon_L592_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (((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)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e0) (e3)) = (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) (e2)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e2)) = (e2)) -> (~((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) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((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) (e2)) = (e2))) -> (~((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) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (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 (e1) (e1)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((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))))) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> False).
% 10.04/10.26 do 0 intro. intros zenon_H18e zenon_H25 zenon_Hae zenon_H6f zenon_Hb0 zenon_H8d zenon_H86 zenon_H7f zenon_H7a zenon_H8c zenon_H90 zenon_Hb1 zenon_Hab zenon_H3b zenon_H28 zenon_H97 zenon_Hda zenon_Hd3 zenon_Hd2 zenon_Hce zenon_H27 zenon_Hdd zenon_Hc8 zenon_Hc7 zenon_H91 zenon_Hc6 zenon_Hc5 zenon_Hf8 zenon_H44 zenon_H68 zenon_Haf zenon_Hc0 zenon_Hec zenon_H95 zenon_Hc1 zenon_H53 zenon_He8 zenon_Hbb zenon_He7 zenon_Hf5 zenon_H4c zenon_H35 zenon_H5e zenon_Hde zenon_He3 zenon_H7e zenon_H80 zenon_H7d.
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 10.04/10.26 exact (zenon_H25 zenon_H2a).
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 10.04/10.26 apply (zenon_L53_); trivial.
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 10.04/10.26 apply (zenon_L43_); trivial.
% 10.04/10.26 apply (zenon_L67_); trivial.
% 10.04/10.26 (* end of lemma zenon_L592_ *)
% 10.04/10.26 assert (zenon_L593_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (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 (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> (((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 (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((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 (e1) (e1)) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.04/10.26 do 0 intro. intros zenon_H177 zenon_H168 zenon_H103 zenon_H159 zenon_H108 zenon_H165 zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H14d zenon_H145 zenon_H86 zenon_H132 zenon_Hc5 zenon_Hc8 zenon_H3c zenon_H10b zenon_H144 zenon_H12f zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H174 zenon_Hfd zenon_H28 zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hda zenon_H16b zenon_H1f zenon_H169 zenon_H7a zenon_H64 zenon_H16e zenon_H173 zenon_H7d zenon_H80 zenon_He4 zenon_He3 zenon_Hde zenon_H5e zenon_H35 zenon_H4c zenon_Hf5 zenon_He7 zenon_Hbb zenon_He8 zenon_H53 zenon_Hc1 zenon_H95 zenon_Hec zenon_Hc0 zenon_Haf zenon_H68 zenon_H44 zenon_Hf8.
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.04/10.26 apply (zenon_L67_); trivial.
% 10.04/10.26 apply (zenon_L160_); trivial.
% 10.04/10.26 (* end of lemma zenon_L593_ *)
% 10.04/10.26 assert (zenon_L594_ : ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (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 (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e2)) = (e2)) -> (~((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 (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (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) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((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 (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 (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (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) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> False).
% 10.04/10.26 do 0 intro. intros zenon_H18d zenon_H17a zenon_H25 zenon_Hdd zenon_H28 zenon_H53 zenon_Hae zenon_Hb0 zenon_H97 zenon_H4c zenon_H95 zenon_H35 zenon_H5e zenon_Hab zenon_Hb1 zenon_Hde zenon_H3b zenon_H6f zenon_Haf zenon_Hda zenon_Hd3 zenon_H68 zenon_H110 zenon_H1d zenon_H112 zenon_H114 zenon_Hbd zenon_H118 zenon_H44 zenon_H27 zenon_Hc5 zenon_Hc8 zenon_Hc7 zenon_H91 zenon_Hc6 zenon_H177 zenon_H168 zenon_H103 zenon_H159 zenon_H108 zenon_H165 zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H14d zenon_H145 zenon_H86 zenon_H132 zenon_H3c zenon_H10b zenon_H144 zenon_H12f zenon_H150 zenon_H157 zenon_H155 zenon_H156 zenon_H174 zenon_Hfd zenon_H16f zenon_H16b zenon_H1f zenon_H169 zenon_H7a zenon_H64 zenon_H16e zenon_H173 zenon_H7d zenon_He3 zenon_Hf5 zenon_He7 zenon_Hbb zenon_He8 zenon_Hc1 zenon_Hec zenon_Hc0 zenon_Hf8 zenon_H18e.
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 10.04/10.26 exact (zenon_H25 zenon_H2a).
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 10.04/10.26 apply (zenon_L84_); trivial.
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 10.04/10.26 apply (zenon_L43_); trivial.
% 10.04/10.26 apply (zenon_L593_); trivial.
% 10.04/10.26 apply (zenon_L161_); trivial.
% 10.04/10.26 (* end of lemma zenon_L594_ *)
% 10.04/10.26 assert (zenon_L595_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((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)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((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)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e0)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (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 (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)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e1) (e1)) = (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)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (((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 (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 (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 (e0) (e1)) = (op (e0) (e2)))) -> False).
% 10.04/10.26 do 0 intro. intros zenon_H173 zenon_H16e zenon_H64 zenon_H169 zenon_H1f zenon_H16b zenon_H16f zenon_H174 zenon_H156 zenon_H155 zenon_H157 zenon_H150 zenon_H12f zenon_H144 zenon_H10b zenon_H3c zenon_H132 zenon_H145 zenon_H14d zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H165 zenon_H159 zenon_H168 zenon_H177 zenon_H118 zenon_H114 zenon_H112 zenon_H1d zenon_H110 zenon_H17a zenon_H18d zenon_H25 zenon_Hdd zenon_H28 zenon_H53 zenon_Hae zenon_H90 zenon_H7d zenon_H7a zenon_H86 zenon_H8d zenon_H8c zenon_H91 zenon_H5e zenon_H4c zenon_Hb1 zenon_Hab zenon_H35 zenon_H68 zenon_H95 zenon_H97 zenon_Hb0 zenon_H3b zenon_H6f zenon_Haf zenon_Hde zenon_Hd3 zenon_Hc5 zenon_Hc7 zenon_Hc6 zenon_Hce zenon_Hd2 zenon_Hc1 zenon_Hbb zenon_Hc0 zenon_Hda zenon_H44 zenon_H27 zenon_Hc8 zenon_Hf8 zenon_Hec zenon_He8 zenon_He7 zenon_Hf5 zenon_He3 zenon_H18e zenon_H108 zenon_H103 zenon_Hfd.
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.04/10.26 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.04/10.26 apply (zenon_L592_); trivial.
% 10.04/10.26 apply (zenon_L170_); trivial.
% 10.04/10.26 apply (zenon_L74_); trivial.
% 10.04/10.26 apply (zenon_L594_); trivial.
% 10.04/10.26 (* end of lemma zenon_L595_ *)
% 10.04/10.26 assert (zenon_L596_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e0))) -> ((op (e0) (e2)) = (e2)) -> (((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 (e3) (e3)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (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 (e3) (e3)) = (e2))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e1)) = (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 (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((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))))) -> (~((e1) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (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 (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (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 (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((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 (e1) (e1)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.04/10.26 do 0 intro. intros zenon_H18e zenon_H25 zenon_Hae zenon_Haf zenon_H6f zenon_Hb0 zenon_Hb1 zenon_H3b zenon_H97 zenon_H27 zenon_Hdd zenon_H8d zenon_Hab zenon_H1d zenon_H11d zenon_H128 zenon_H7f zenon_H11b zenon_H68 zenon_H8c zenon_H12c zenon_H177 zenon_H168 zenon_H103 zenon_H35 zenon_H159 zenon_H108 zenon_H165 zenon_H4c zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H14d zenon_H145 zenon_H86 zenon_H132 zenon_Hc5 zenon_Hc8 zenon_H3c zenon_H10b zenon_H144 zenon_H12f zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H174 zenon_Hfd zenon_H28 zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hda zenon_H16b zenon_H1f zenon_H5e zenon_H169 zenon_H7a zenon_Hf5 zenon_H64 zenon_H16e zenon_H173 zenon_H7d zenon_H80 zenon_He3 zenon_Hc0 zenon_Hec zenon_H95 zenon_Hc1 zenon_H53 zenon_He8 zenon_H44 zenon_Hb8 zenon_Hbb zenon_He7 zenon_Hf8.
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 10.04/10.26 exact (zenon_H25 zenon_H2a).
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 10.04/10.26 apply (zenon_L181_); trivial.
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 10.04/10.26 apply (zenon_L182_); trivial.
% 10.04/10.26 apply (zenon_L187_); trivial.
% 10.04/10.26 (* end of lemma zenon_L596_ *)
% 10.04/10.26 assert (zenon_L597_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (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 (e1) (e1)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (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))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (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)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (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) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (~((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)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (((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 (e0) (e2)) = (e2)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> False).
% 10.04/10.26 do 0 intro. intros zenon_H18e zenon_Hf8 zenon_He7 zenon_Hbb zenon_He8 zenon_Hec zenon_He3 zenon_H173 zenon_H16e zenon_H64 zenon_Hf5 zenon_H169 zenon_H1f zenon_H16b zenon_H16f zenon_H118 zenon_H110 zenon_Hd3 zenon_Hfd zenon_H174 zenon_H156 zenon_H155 zenon_H157 zenon_H150 zenon_H12f zenon_H144 zenon_H10b zenon_H3c zenon_Hc5 zenon_H132 zenon_H86 zenon_H145 zenon_H14d zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H165 zenon_H108 zenon_H159 zenon_H103 zenon_H168 zenon_H177 zenon_Hc1 zenon_H12c zenon_H11b zenon_H128 zenon_H1d zenon_H11d zenon_H8d zenon_H7a zenon_H7d zenon_H8c zenon_Hc8 zenon_H114 zenon_Hc0 zenon_H27 zenon_H44 zenon_H112 zenon_Hb8 zenon_Hda zenon_Haf zenon_H6f zenon_H3b zenon_Hb0 zenon_H97 zenon_H4c zenon_H95 zenon_H68 zenon_H35 zenon_H5e zenon_Hab zenon_Hb1 zenon_Hae zenon_H53 zenon_H28 zenon_Hdd zenon_H25 zenon_H18d.
% 10.04/10.26 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.04/10.26 apply (zenon_L596_); trivial.
% 10.04/10.26 apply (zenon_L170_); trivial.
% 10.04/10.26 apply (zenon_L183_); trivial.
% 10.04/10.26 (* end of lemma zenon_L597_ *)
% 10.04/10.26 assert (zenon_L598_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e0) (e2)) = (e2)) -> (~((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) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((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) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (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 (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((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)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((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)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> False).
% 10.04/10.26 do 0 intro. intros zenon_Hd2 zenon_H184 zenon_H18d zenon_H25 zenon_Hdd zenon_H28 zenon_H53 zenon_Hae zenon_Hb1 zenon_Hab zenon_H5e zenon_H35 zenon_H68 zenon_H95 zenon_H4c zenon_H97 zenon_Hb0 zenon_H3b zenon_H6f zenon_Haf zenon_Hda zenon_Hb8 zenon_H112 zenon_H44 zenon_H27 zenon_Hc0 zenon_H114 zenon_H8c zenon_H7d zenon_H7a zenon_H8d zenon_H11d zenon_H1d zenon_H128 zenon_H11b zenon_H12c zenon_Hc1 zenon_H177 zenon_H168 zenon_H103 zenon_H159 zenon_H108 zenon_H165 zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H14d zenon_H145 zenon_H86 zenon_H132 zenon_Hc5 zenon_H3c zenon_H10b zenon_H144 zenon_H12f zenon_H150 zenon_H157 zenon_H155 zenon_H156 zenon_H174 zenon_Hfd zenon_Hd3 zenon_H110 zenon_H118 zenon_H16f zenon_H16b zenon_H1f zenon_H169 zenon_Hf5 zenon_H64 zenon_H16e zenon_H173 zenon_He3 zenon_Hec zenon_He8 zenon_Hbb zenon_He7 zenon_Hf8 zenon_H18e.
% 10.04/10.26 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.04/10.26 apply (zenon_L597_); trivial.
% 10.04/10.26 apply (zenon_L164_); trivial.
% 10.04/10.26 (* end of lemma zenon_L598_ *)
% 10.04/10.26 assert (zenon_L599_ : (((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) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> False).
% 10.04/10.26 do 0 intro. intros zenon_Hdd zenon_H27 zenon_H35 zenon_H15a zenon_Hd0 zenon_Hce zenon_He4 zenon_H44.
% 10.04/10.26 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hdf ].
% 10.04/10.26 exact (zenon_H27 zenon_H32).
% 10.04/10.26 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H6a | zenon_intro zenon_He0 ].
% 10.04/10.26 apply (zenon_L238_); trivial.
% 10.04/10.26 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd8 ].
% 10.04/10.26 apply (zenon_L44_); trivial.
% 10.04/10.26 apply (zenon_L99_); trivial.
% 10.04/10.26 (* end of lemma zenon_L599_ *)
% 10.04/10.26 assert (zenon_L600_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e1)) = (e0))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e0) (e2)) = (e2)) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> False).
% 10.04/10.26 do 0 intro. intros zenon_H145 zenon_H44 zenon_H6a zenon_He8 zenon_Hed zenon_H4c zenon_H91 zenon_H3b zenon_H35 zenon_H103 zenon_H5e zenon_H9a.
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H69 | zenon_intro zenon_H146 ].
% 10.04/10.26 apply (zenon_L17_); trivial.
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Heb | zenon_intro zenon_H147 ].
% 10.04/10.26 exact (zenon_He8 zenon_Heb).
% 10.04/10.26 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H101 | zenon_intro zenon_H87 ].
% 10.04/10.26 apply (zenon_L72_); trivial.
% 10.04/10.26 apply (zenon_L192_); trivial.
% 10.04/10.26 (* end of lemma zenon_L600_ *)
% 10.04/10.26 assert (zenon_L601_ : (~((op (e0) (e0)) = (e0))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((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 (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((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 (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((~((op (e3) (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 (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e2)) = (op (e2) (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 (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (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)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((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 (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (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 (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (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) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (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) (e1)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((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))) -> (~((e0) = (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) (e2)) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (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 (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 10.04/10.27 do 0 intro. intros zenon_H25 zenon_H157 zenon_H16f zenon_H16e zenon_Hec zenon_H8c zenon_H168 zenon_Hf5 zenon_H1e6 zenon_H1f0 zenon_H191 zenon_H192 zenon_H156 zenon_H1b7 zenon_H1cb zenon_H200 zenon_Hb0 zenon_H165 zenon_H17a zenon_H14d zenon_He3 zenon_H150 zenon_H114 zenon_Hce zenon_Hde zenon_H6f zenon_H18d zenon_H7d zenon_H1e2 zenon_Hab zenon_H7e zenon_H1bc zenon_H3c zenon_H1b4 zenon_H1b1 zenon_Hbb zenon_H205 zenon_H12c zenon_H159 zenon_Hda zenon_H198 zenon_Hd2 zenon_H97 zenon_H7a zenon_Hc6 zenon_Hc5 zenon_H1af zenon_H1f zenon_H1ea zenon_H195 zenon_H1ef zenon_H18e zenon_H108 zenon_H155 zenon_Hf8 zenon_H158 zenon_H173 zenon_Hfd zenon_H1fb zenon_H1f8 zenon_H177 zenon_H16b zenon_H152 zenon_H204 zenon_H4a zenon_H144 zenon_H12f zenon_H10b zenon_H132 zenon_H11d zenon_Hae zenon_H128 zenon_H58 zenon_H1ba zenon_H1c0 zenon_H1c3 zenon_H112 zenon_H67 zenon_H1dd zenon_H1de zenon_Haf zenon_H42 zenon_H53 zenon_H95 zenon_Hc0 zenon_He7 zenon_H181 zenon_H64 zenon_H56 zenon_H44 zenon_H90 zenon_Hd3 zenon_H91 zenon_H9a zenon_H145 zenon_He8 zenon_Hed zenon_H4c zenon_H103 zenon_H5e zenon_H27 zenon_Hdd zenon_H35 zenon_H3b zenon_H18a zenon_H43 zenon_H187 zenon_H17c zenon_Hd0 zenon_H84 zenon_H86.
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 10.04/10.27 exact (zenon_H25 zenon_H2a).
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 10.04/10.27 apply (zenon_L465_); trivial.
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 10.04/10.27 apply (zenon_L541_); trivial.
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.04/10.27 exact (zenon_H56 zenon_H2c).
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.04/10.27 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hdf ].
% 10.04/10.27 exact (zenon_H27 zenon_H32).
% 10.04/10.27 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H6a | zenon_intro zenon_He0 ].
% 10.04/10.27 apply (zenon_L600_); trivial.
% 10.04/10.27 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd8 ].
% 10.04/10.27 apply (zenon_L234_); trivial.
% 10.04/10.27 apply (zenon_L99_); trivial.
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.04/10.27 apply (zenon_L70_); trivial.
% 10.04/10.27 apply (zenon_L411_); trivial.
% 10.04/10.27 (* end of lemma zenon_L601_ *)
% 10.04/10.27 assert (zenon_L602_ : ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> False).
% 10.04/10.27 do 0 intro. intros zenon_H4a zenon_H51 zenon_H1cb zenon_H25 zenon_H56 zenon_H132 zenon_H3b zenon_H24.
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.04/10.27 apply (zenon_L589_); trivial.
% 10.04/10.27 apply (zenon_L343_); trivial.
% 10.04/10.27 (* end of lemma zenon_L602_ *)
% 10.04/10.27 assert (zenon_L603_ : ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e2) = (e3))) -> ((op (e0) (e2)) = (e2)) -> (~((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).
% 10.04/10.27 do 0 intro. intros zenon_H4a zenon_H11b zenon_H53 zenon_H68 zenon_H95 zenon_H3b zenon_H7a zenon_H84 zenon_H97.
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.04/10.27 apply (zenon_L170_); trivial.
% 10.04/10.27 apply (zenon_L85_); trivial.
% 10.04/10.27 (* end of lemma zenon_L603_ *)
% 10.04/10.27 assert (zenon_L604_ : ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (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) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((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 (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (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 (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((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 (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (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))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((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)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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 (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 (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (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) (e0)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((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 (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((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) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (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) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> False).
% 10.04/10.27 do 0 intro. intros zenon_H174 zenon_H11b zenon_H191 zenon_He8 zenon_H184 zenon_H44 zenon_H18e zenon_H205 zenon_Hbb zenon_H17a zenon_H165 zenon_H1ea zenon_H16e zenon_H156 zenon_H90 zenon_H17c zenon_H86 zenon_H103 zenon_H1cb zenon_H108 zenon_Hf8 zenon_H158 zenon_H145 zenon_H5e zenon_H155 zenon_Hc5 zenon_H12f zenon_H150 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H1b4 zenon_Hce zenon_Hdd zenon_H1af zenon_Hd2 zenon_Hd3 zenon_Hc0 zenon_He7 zenon_H53 zenon_H181 zenon_H42 zenon_H4c zenon_H95 zenon_H187 zenon_H64 zenon_H157 zenon_H14d zenon_H16b zenon_H1b1 zenon_H35 zenon_H159 zenon_H6f zenon_H198 zenon_H58 zenon_H1b7 zenon_H18d zenon_H173 zenon_Hfd zenon_H1fb zenon_H1f8 zenon_H200 zenon_H177 zenon_Hf5 zenon_H1f0 zenon_H1f zenon_H1ef zenon_H114 zenon_H152 zenon_H204 zenon_H4a zenon_H144 zenon_H11d zenon_Hae zenon_H168 zenon_Hc6 zenon_H67 zenon_H16f zenon_Hab zenon_Hde zenon_H112 zenon_H1e6 zenon_H10b zenon_H18a zenon_H1e2 zenon_H97 zenon_Hb0 zenon_H8c zenon_H128 zenon_Hda zenon_H3c zenon_H1de zenon_H1dd zenon_H12c zenon_Hec zenon_He3 zenon_H195 zenon_H7a zenon_H7d zenon_H151 zenon_H84 zenon_Hb1 zenon_H25 zenon_H132 zenon_H3b zenon_H24.
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.04/10.27 apply (zenon_L589_); trivial.
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.04/10.27 apply (zenon_L190_); trivial.
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.04/10.27 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.04/10.27 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 10.04/10.27 exact (zenon_H25 zenon_H2a).
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 10.04/10.27 apply (zenon_L536_); trivial.
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 10.04/10.27 apply (zenon_L43_); trivial.
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 10.04/10.27 exact (zenon_H56 zenon_H2c).
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 10.04/10.27 apply (zenon_L194_); trivial.
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 10.04/10.27 apply (zenon_L546_); trivial.
% 10.04/10.27 apply (zenon_L62_); trivial.
% 10.04/10.27 apply (zenon_L254_); trivial.
% 10.04/10.27 apply (zenon_L161_); trivial.
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.04/10.27 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 10.04/10.27 exact (zenon_H25 zenon_H2a).
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 10.04/10.27 apply (zenon_L536_); trivial.
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 10.04/10.27 apply (zenon_L541_); trivial.
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 10.04/10.27 exact (zenon_H56 zenon_H2c).
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 10.04/10.27 apply (zenon_L599_); trivial.
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 10.04/10.27 apply (zenon_L546_); trivial.
% 10.04/10.27 apply (zenon_L62_); trivial.
% 10.04/10.27 apply (zenon_L601_); trivial.
% 10.04/10.27 apply (zenon_L161_); trivial.
% 10.04/10.27 apply (zenon_L5_); trivial.
% 10.04/10.27 apply (zenon_L559_); trivial.
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.04/10.27 apply (zenon_L560_); trivial.
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.04/10.27 apply (zenon_L543_); trivial.
% 10.04/10.27 apply (zenon_L562_); trivial.
% 10.04/10.27 apply (zenon_L590_); trivial.
% 10.04/10.27 apply (zenon_L602_); trivial.
% 10.04/10.27 apply (zenon_L603_); trivial.
% 10.04/10.27 (* end of lemma zenon_L604_ *)
% 10.04/10.27 assert (zenon_L605_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (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 (e1) (e1)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (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))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (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)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (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) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (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)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (((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 (e0) (e2)) = (e2)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e3) (e0)) = (e3))) -> False).
% 10.04/10.27 do 0 intro. intros zenon_Hd2 zenon_H184 zenon_H18e zenon_Hf8 zenon_He7 zenon_Hbb zenon_He8 zenon_Hec zenon_He3 zenon_H173 zenon_H16e zenon_H64 zenon_Hf5 zenon_H169 zenon_H1f zenon_H16b zenon_H16f zenon_H118 zenon_H110 zenon_Hd3 zenon_Hfd zenon_H174 zenon_H156 zenon_H155 zenon_H157 zenon_H150 zenon_H12f zenon_H144 zenon_H10b zenon_H3c zenon_Hc5 zenon_H132 zenon_H86 zenon_H145 zenon_H14d zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H165 zenon_H108 zenon_H159 zenon_H103 zenon_H168 zenon_H177 zenon_Hc1 zenon_H12c zenon_H11b zenon_H128 zenon_H1d zenon_H11d zenon_H7a zenon_H7d zenon_H8c zenon_H114 zenon_Hc0 zenon_H27 zenon_H44 zenon_H112 zenon_Hb8 zenon_Hda zenon_Haf zenon_H6f zenon_H3b zenon_Hb0 zenon_H97 zenon_H4c zenon_H95 zenon_H68 zenon_H35 zenon_H5e zenon_Hab zenon_Hb1 zenon_Hae zenon_H53 zenon_H28 zenon_Hdd zenon_H25 zenon_H18d zenon_H220.
% 10.04/10.27 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.04/10.27 apply (zenon_L597_); trivial.
% 10.04/10.27 exact (zenon_H220 zenon_Hbc).
% 10.04/10.27 apply (zenon_L164_); trivial.
% 10.04/10.27 (* end of lemma zenon_L605_ *)
% 10.04/10.27 assert (zenon_L606_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e2) (e0)) = (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 (e0) (e0)) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (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 (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 (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 (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((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) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (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 (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((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) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((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)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (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 (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)) = (op (e2) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (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) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (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) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e1) (e3)) = (e1)) -> ((op (e0) (e2)) = (e2)) -> False).
% 10.04/10.27 do 0 intro. intros zenon_H151 zenon_H84 zenon_He8 zenon_H221 zenon_H7d zenon_H43 zenon_H7a zenon_H27 zenon_H191 zenon_H192 zenon_H195 zenon_He3 zenon_Hec zenon_H12c zenon_H1dd zenon_H1de zenon_H3c zenon_Hda zenon_H128 zenon_H8c zenon_Hb0 zenon_H97 zenon_H1e2 zenon_H18a zenon_H10b zenon_H1e6 zenon_H112 zenon_Hde zenon_Hab zenon_H16f zenon_H67 zenon_Hc6 zenon_H168 zenon_Hae zenon_H11d zenon_H144 zenon_H4a zenon_H204 zenon_H152 zenon_H114 zenon_H1ef zenon_H1f zenon_H1f0 zenon_Hf5 zenon_H177 zenon_H200 zenon_H1f8 zenon_H1fb zenon_Hfd zenon_H173 zenon_H18d zenon_H1b7 zenon_H58 zenon_H56 zenon_H198 zenon_H6f zenon_H159 zenon_H35 zenon_H1b1 zenon_H16b zenon_H14d zenon_H157 zenon_H64 zenon_H187 zenon_H95 zenon_H4c zenon_H42 zenon_H181 zenon_H53 zenon_He7 zenon_Hc0 zenon_Hd3 zenon_Hd2 zenon_H1af zenon_Hdd zenon_Hce zenon_H1b4 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H150 zenon_H12f zenon_Hc5 zenon_H91 zenon_H155 zenon_H5e zenon_H145 zenon_H158 zenon_Hf8 zenon_H108 zenon_H1cb zenon_H103 zenon_H132 zenon_H86 zenon_H17c zenon_H90 zenon_H156 zenon_H16e zenon_H1ea zenon_H165 zenon_H17a zenon_Hbb zenon_H205 zenon_H18e zenon_H44 zenon_H25 zenon_Hb1 zenon_Haf zenon_H9a zenon_H3b.
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.04/10.27 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.04/10.27 apply (zenon_L571_); trivial.
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 10.04/10.27 exact (zenon_H25 zenon_H2a).
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 10.04/10.27 apply (zenon_L466_); trivial.
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 10.04/10.27 apply (zenon_L541_); trivial.
% 10.04/10.27 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hdf ].
% 10.04/10.27 exact (zenon_H27 zenon_H32).
% 10.04/10.27 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H6a | zenon_intro zenon_He0 ].
% 10.04/10.27 apply (zenon_L545_); trivial.
% 10.04/10.27 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd8 ].
% 10.04/10.27 exact (zenon_H221 zenon_Hcf).
% 10.04/10.27 apply (zenon_L99_); trivial.
% 10.04/10.27 apply (zenon_L161_); trivial.
% 10.04/10.27 apply (zenon_L5_); trivial.
% 10.04/10.27 (* end of lemma zenon_L606_ *)
% 10.04/10.27 assert (zenon_L607_ : ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (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 (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (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 (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 (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 (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((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) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (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 (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((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) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((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)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (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 (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)) = (op (e2) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (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) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (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) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> False).
% 10.04/10.27 do 0 intro. intros zenon_H174 zenon_H11b zenon_H191 zenon_He8 zenon_H151 zenon_H84 zenon_H221 zenon_H7d zenon_H7a zenon_H195 zenon_He3 zenon_Hec zenon_H12c zenon_H1dd zenon_H1de zenon_H3c zenon_Hda zenon_H128 zenon_H8c zenon_Hb0 zenon_H97 zenon_H1e2 zenon_H18a zenon_H10b zenon_H1e6 zenon_H112 zenon_Hde zenon_Hab zenon_H16f zenon_H67 zenon_Hc6 zenon_H168 zenon_Hae zenon_H11d zenon_H144 zenon_H4a zenon_H204 zenon_H152 zenon_H114 zenon_H1ef zenon_H1f zenon_H1f0 zenon_Hf5 zenon_H177 zenon_H200 zenon_H1f8 zenon_H1fb zenon_Hfd zenon_H173 zenon_H18d zenon_H1b7 zenon_H58 zenon_H198 zenon_H6f zenon_H159 zenon_H35 zenon_H1b1 zenon_H16b zenon_H14d zenon_H157 zenon_H64 zenon_H187 zenon_H95 zenon_H4c zenon_H42 zenon_H181 zenon_H53 zenon_He7 zenon_Hc0 zenon_Hd3 zenon_Hd2 zenon_H1af zenon_Hdd zenon_Hce zenon_H1b4 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H150 zenon_H12f zenon_Hc5 zenon_H155 zenon_H5e zenon_H145 zenon_H158 zenon_Hf8 zenon_H108 zenon_H1cb zenon_H103 zenon_H86 zenon_H17c zenon_H90 zenon_H156 zenon_H16e zenon_H1ea zenon_H165 zenon_H17a zenon_Hbb zenon_H205 zenon_H18e zenon_H44 zenon_H184 zenon_H25 zenon_H132 zenon_H3b zenon_H24.
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.04/10.27 apply (zenon_L589_); trivial.
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.04/10.27 apply (zenon_L190_); trivial.
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.04/10.27 apply (zenon_L606_); trivial.
% 10.04/10.27 apply (zenon_L585_); trivial.
% 10.04/10.27 exact (zenon_H221 zenon_Hcf).
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.04/10.27 apply (zenon_L560_); trivial.
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.04/10.27 apply (zenon_L543_); trivial.
% 10.04/10.27 apply (zenon_L574_); trivial.
% 10.04/10.27 exact (zenon_H221 zenon_Hcf).
% 10.04/10.27 apply (zenon_L590_); trivial.
% 10.04/10.27 apply (zenon_L602_); trivial.
% 10.04/10.27 apply (zenon_L603_); trivial.
% 10.04/10.27 (* end of lemma zenon_L607_ *)
% 10.04/10.27 assert (zenon_L608_ : (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e2) (e3)) = (op (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 (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e0) (e3)) = (op (e2) (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))))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (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 (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((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)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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 (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((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 (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (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 (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)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e1) (e1)) = (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)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (((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 (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> False).
% 10.04/10.27 do 0 intro. intros zenon_H169 zenon_H14a zenon_H118 zenon_H1d zenon_H110 zenon_H24 zenon_H132 zenon_H184 zenon_H205 zenon_H17a zenon_H165 zenon_H1ea zenon_H16e zenon_H156 zenon_H17c zenon_H103 zenon_H1cb zenon_H108 zenon_H158 zenon_H145 zenon_H155 zenon_H12f zenon_H150 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H1b4 zenon_H1af zenon_H181 zenon_H42 zenon_H187 zenon_H64 zenon_H157 zenon_H14d zenon_H16b zenon_H1b1 zenon_H159 zenon_H198 zenon_H58 zenon_H1b7 zenon_H18d zenon_H173 zenon_Hfd zenon_H1fb zenon_H1f8 zenon_H200 zenon_H177 zenon_H1f0 zenon_H1f zenon_H1ef zenon_H114 zenon_H152 zenon_H204 zenon_H4a zenon_H144 zenon_H11d zenon_H168 zenon_H67 zenon_H16f zenon_H112 zenon_H1e6 zenon_H10b zenon_H18a zenon_H1e2 zenon_H128 zenon_H3c zenon_H1de zenon_H1dd zenon_H12c zenon_H195 zenon_H221 zenon_H151 zenon_H191 zenon_H11b zenon_H174 zenon_H25 zenon_Hdd zenon_H28 zenon_H53 zenon_Hae zenon_H90 zenon_H7d zenon_H7a zenon_H86 zenon_H8d zenon_H8c zenon_H91 zenon_H5e zenon_H4c zenon_Hb1 zenon_Hab zenon_H35 zenon_H68 zenon_H95 zenon_H97 zenon_Hb0 zenon_H3b zenon_H6f zenon_Haf zenon_Hde zenon_Hd3 zenon_Hc5 zenon_Hc7 zenon_Hc6 zenon_Hce zenon_Hd2 zenon_Hc1 zenon_Hbb zenon_Hc0 zenon_Hda zenon_H44 zenon_H27 zenon_Hc8 zenon_Hf8 zenon_Hec zenon_He8 zenon_He7 zenon_Hf5 zenon_He3 zenon_H18e.
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.04/10.27 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.04/10.27 apply (zenon_L592_); trivial.
% 10.04/10.27 apply (zenon_L607_); trivial.
% 10.04/10.27 apply (zenon_L254_); trivial.
% 10.04/10.27 apply (zenon_L594_); trivial.
% 10.04/10.27 (* end of lemma zenon_L608_ *)
% 10.04/10.27 assert (zenon_L609_ : (~((op (e1) (e0)) = (e1))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> (~((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 (e2) (e2)) = (e1))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((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 (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (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 (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 (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 (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((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) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (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 (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((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) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((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)) = (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)) = (e1)))\/((op (e2) (e1)) = (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) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (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 (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)) = (op (e2) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (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) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e1) (e3)) = (e1)) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False).
% 10.04/10.27 do 0 intro. intros zenon_H223 zenon_H44 zenon_H35 zenon_H4c zenon_H53 zenon_H3b zenon_H95 zenon_H165 zenon_H91 zenon_H151 zenon_H84 zenon_H7d zenon_H43 zenon_H7a zenon_H27 zenon_H191 zenon_H192 zenon_H195 zenon_He3 zenon_Hec zenon_H12c zenon_H1dd zenon_H1de zenon_H3c zenon_Hda zenon_H128 zenon_H8c zenon_Hb0 zenon_H97 zenon_H1e2 zenon_H18a zenon_H10b zenon_H1e6 zenon_H112 zenon_Hde zenon_Hab zenon_H16f zenon_H67 zenon_Hc6 zenon_H168 zenon_Hae zenon_H11d zenon_H144 zenon_H4a zenon_H204 zenon_H152 zenon_H114 zenon_H1ef zenon_H1f zenon_H1f0 zenon_Hf5 zenon_H177 zenon_H200 zenon_H1f8 zenon_H1fb zenon_Hfd zenon_H173 zenon_H18d zenon_H1b7 zenon_H58 zenon_H56 zenon_H198 zenon_H6f zenon_H159 zenon_H1b1 zenon_H16b zenon_H14d zenon_H157 zenon_H64 zenon_H187 zenon_H42 zenon_H181 zenon_He7 zenon_Hc0 zenon_Hd3 zenon_Hd2 zenon_H1af zenon_Hdd zenon_Hce zenon_H1b4 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H150 zenon_H12f zenon_Hc5 zenon_H155 zenon_H145 zenon_H158 zenon_Hf8 zenon_H108 zenon_H1cb zenon_H103 zenon_H132 zenon_H86 zenon_H17c zenon_H90 zenon_H156 zenon_H16e zenon_H1ea zenon_H17a zenon_Hbb zenon_H205 zenon_H18e zenon_H25 zenon_Hb1 zenon_He8 zenon_H9a zenon_He4 zenon_H5e.
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 10.04/10.27 exact (zenon_H56 zenon_H2c).
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 10.04/10.27 exact (zenon_H223 zenon_H15a).
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 10.04/10.27 apply (zenon_L546_); trivial.
% 10.04/10.27 apply (zenon_L62_); trivial.
% 10.04/10.27 (* end of lemma zenon_L609_ *)
% 10.04/10.27 assert (zenon_L610_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (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)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 10.04/10.27 do 0 intro. intros zenon_H42 zenon_H27 zenon_Hc1 zenon_H1f zenon_H192 zenon_He8 zenon_H191 zenon_H3c zenon_H3a zenon_H62 zenon_H35.
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 10.04/10.27 exact (zenon_H27 zenon_H32).
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 10.04/10.27 apply (zenon_L331_); trivial.
% 10.04/10.27 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 10.04/10.27 apply (zenon_L5_); trivial.
% 10.04/10.27 apply (zenon_L260_); trivial.
% 10.04/10.27 (* end of lemma zenon_L610_ *)
% 10.04/10.27 assert (zenon_L611_ : (~((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))))) -> (~((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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (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)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (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) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e1) (e0)) = (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)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e3))) -> (~((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) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (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 (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e3))) -> (((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)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 10.13/10.28 do 0 intro. intros zenon_H1f zenon_H27 zenon_H42 zenon_H44 zenon_Hdd zenon_Hc6 zenon_H158 zenon_H152 zenon_H3c zenon_H91 zenon_Hc8 zenon_Hc5 zenon_H212 zenon_Hec zenon_H1de zenon_H69 zenon_H200 zenon_H25 zenon_Hfd zenon_H144 zenon_H4c zenon_H10b zenon_Hb0 zenon_H181 zenon_H12c zenon_H17c zenon_H90 zenon_H1f8 zenon_H6f zenon_H155 zenon_H1e6 zenon_Hda zenon_H28 zenon_H198 zenon_Hf5 zenon_H1f0 zenon_H56 zenon_H64 zenon_Hc1 zenon_H192 zenon_He8 zenon_H191 zenon_H128 zenon_H35 zenon_H95 zenon_H3a zenon_H1fb zenon_H97 zenon_Hd3 zenon_H187 zenon_H108 zenon_H1cb zenon_H100 zenon_H5e zenon_Hb1 zenon_H53 zenon_H177 zenon_He7 zenon_H159 zenon_H1b4 zenon_H1af zenon_H195 zenon_H1ea zenon_H7d zenon_H7a zenon_H7e zenon_H7f zenon_H80.
% 10.13/10.28 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.13/10.28 exact (zenon_H25 zenon_H2a).
% 10.13/10.28 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.13/10.28 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.13/10.28 exact (zenon_H56 zenon_H2c).
% 10.13/10.28 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.13/10.28 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hdf ].
% 10.13/10.28 exact (zenon_H27 zenon_H32).
% 10.13/10.28 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H6a | zenon_intro zenon_He0 ].
% 10.13/10.28 apply (zenon_L17_); trivial.
% 10.13/10.28 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd8 ].
% 10.13/10.28 apply (zenon_L321_); trivial.
% 10.13/10.28 apply (zenon_L420_); trivial.
% 10.13/10.28 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.13/10.28 apply (zenon_L342_); trivial.
% 10.13/10.28 apply (zenon_L610_); trivial.
% 10.13/10.28 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.13/10.28 apply (zenon_L477_); trivial.
% 10.13/10.28 apply (zenon_L24_); trivial.
% 10.13/10.28 (* end of lemma zenon_L611_ *)
% 10.13/10.28 assert (zenon_L612_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (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) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e1) = (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) (e2)) = (e1))) -> ((op (e1) (e3)) = (e1)) -> ((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 (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 (e3) (e3)) = (e1))) -> (~((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) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (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) (e3)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 10.13/10.28 do 0 intro. intros zenon_H200 zenon_H25 zenon_H97 zenon_H28 zenon_H53 zenon_H95 zenon_H42 zenon_H7a zenon_H181 zenon_H1cb zenon_H1b7 zenon_H64 zenon_H35 zenon_H90 zenon_Hd3 zenon_H91 zenon_H9a zenon_H69 zenon_H44 zenon_H27 zenon_Hdd zenon_Hf5 zenon_H1f0 zenon_H1e6 zenon_H7e zenon_H198 zenon_H56 zenon_H1b4 zenon_H6f zenon_H100 zenon_H18a zenon_H187 zenon_H17c zenon_Hd0 zenon_H84 zenon_H86.
% 10.13/10.28 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.13/10.28 exact (zenon_H25 zenon_H2a).
% 10.13/10.28 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.13/10.28 apply (zenon_L171_); trivial.
% 10.13/10.28 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.13/10.28 apply (zenon_L418_); trivial.
% 10.13/10.28 apply (zenon_L528_); trivial.
% 10.13/10.28 (* end of lemma zenon_L612_ *)
% 10.13/10.28 assert (zenon_L613_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e0)) = (e0))) -> (((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)) = (e3))) -> (~((e0) = (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 (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (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 (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> False).
% 10.13/10.28 do 0 intro. intros zenon_Hd2 zenon_H25 zenon_H42 zenon_H181 zenon_H28 zenon_H53 zenon_H95 zenon_H7a zenon_H84 zenon_H97 zenon_H1b7 zenon_H1cb zenon_H6f zenon_H18a zenon_H86 zenon_H200 zenon_H56 zenon_H1b4 zenon_H90 zenon_H17c zenon_H91 zenon_Hd3 zenon_H27 zenon_H44 zenon_H69 zenon_H35 zenon_Hf5 zenon_H7e zenon_H100 zenon_H1e6 zenon_H1f0 zenon_Hdd zenon_H9a zenon_H198 zenon_Hc5 zenon_Hc7 zenon_H3c zenon_Hb1 zenon_H187 zenon_H64.
% 10.13/10.28 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.13/10.28 apply (zenon_L527_); trivial.
% 10.13/10.28 apply (zenon_L612_); trivial.
% 10.13/10.28 (* end of lemma zenon_L613_ *)
% 10.13/10.28 assert (zenon_L614_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e2))) -> False).
% 10.13/10.28 do 0 intro. intros zenon_H42 zenon_H27 zenon_H44 zenon_H68 zenon_H3c zenon_H3a zenon_H62 zenon_H35.
% 10.13/10.28 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 10.13/10.28 exact (zenon_H27 zenon_H32).
% 10.13/10.28 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 10.13/10.28 apply (zenon_L16_); trivial.
% 10.13/10.28 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 10.13/10.28 apply (zenon_L5_); trivial.
% 10.13/10.28 apply (zenon_L260_); trivial.
% 10.13/10.28 (* end of lemma zenon_L614_ *)
% 10.13/10.28 assert (zenon_L615_ : (((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 (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> ((op (e1) (e0)) = (e0)) -> (((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) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> (~((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))))) -> (~((e2) = (e3))) -> (~((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 (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> False).
% 10.13/10.28 do 0 intro. intros zenon_H64 zenon_H90 zenon_Hd3 zenon_H91 zenon_H17c zenon_H9a zenon_H69 zenon_Hdd zenon_Hf5 zenon_H1f0 zenon_H100 zenon_H1e6 zenon_H7e zenon_H198 zenon_H56 zenon_H1b4 zenon_H95 zenon_H4c zenon_H53 zenon_H28 zenon_H97 zenon_H42 zenon_H27 zenon_H44 zenon_H68 zenon_H3c zenon_H3a zenon_H35.
% 10.13/10.28 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.13/10.28 exact (zenon_H56 zenon_H2c).
% 10.13/10.28 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.13/10.28 apply (zenon_L526_); trivial.
% 10.13/10.28 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.13/10.28 apply (zenon_L342_); trivial.
% 10.13/10.28 apply (zenon_L614_); trivial.
% 10.13/10.28 (* end of lemma zenon_L615_ *)
% 10.13/10.28 assert (zenon_L616_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (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 (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (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)))) -> (~((op (e3) (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 (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (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 (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False).
% 10.13/10.28 do 0 intro. intros zenon_H200 zenon_H25 zenon_H10b zenon_H3c zenon_Hfd zenon_H144 zenon_H187 zenon_H9a zenon_H1f8 zenon_H6f zenon_H155 zenon_H3a zenon_H1e6 zenon_H1b4 zenon_H159 zenon_H7e zenon_H1f0 zenon_Hf5 zenon_Hda zenon_H28 zenon_H69 zenon_H91 zenon_Hd3 zenon_H90 zenon_H17c zenon_H64 zenon_H56 zenon_Hb0 zenon_H4c zenon_H108 zenon_H1cb zenon_H100 zenon_H5e zenon_Hb1 zenon_H53 zenon_Hed.
% 10.13/10.28 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.13/10.28 exact (zenon_H25 zenon_H2a).
% 10.13/10.28 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.13/10.28 apply (zenon_L345_); trivial.
% 10.13/10.28 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.13/10.28 apply (zenon_L491_); trivial.
% 10.13/10.28 apply (zenon_L359_); trivial.
% 10.13/10.28 (* end of lemma zenon_L616_ *)
% 10.13/10.28 assert (zenon_L617_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (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) (e2)) = (op (e2) (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) (e0)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((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)) = (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 (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((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 (e0) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (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)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e1))) -> (~((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)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((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)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 10.13/10.28 do 0 intro. intros zenon_Hf8 zenon_H144 zenon_H10b zenon_Hfd zenon_H1f8 zenon_H155 zenon_H108 zenon_H1cb zenon_H25 zenon_H64 zenon_H3c zenon_H3a zenon_H97 zenon_H95 zenon_H4c zenon_H53 zenon_H28 zenon_H42 zenon_H198 zenon_H9a zenon_Hdd zenon_H1f0 zenon_H1e6 zenon_H100 zenon_H7e zenon_Hf5 zenon_H35 zenon_H69 zenon_H44 zenon_H27 zenon_Hd3 zenon_H91 zenon_H17c zenon_H90 zenon_H1b4 zenon_H56 zenon_H18d zenon_He3 zenon_Hd2 zenon_Hce zenon_H1b1 zenon_Hbb zenon_H205 zenon_H12c zenon_H156 zenon_Hb0 zenon_Hb1 zenon_H5e zenon_H187 zenon_Hda zenon_H1af zenon_H195 zenon_H192 zenon_H191 zenon_H159 zenon_H1ea zenon_H7d zenon_H7a zenon_H8d zenon_H6f zenon_H86 zenon_H18a zenon_H200.
% 10.13/10.28 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.13/10.28 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.13/10.28 exact (zenon_H25 zenon_H2a).
% 10.13/10.28 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.13/10.28 apply (zenon_L615_); trivial.
% 10.13/10.28 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.13/10.28 apply (zenon_L489_); trivial.
% 10.13/10.28 apply (zenon_L531_); trivial.
% 10.13/10.28 apply (zenon_L616_); trivial.
% 10.13/10.28 (* end of lemma zenon_L617_ *)
% 10.13/10.28 assert (zenon_L618_ : (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (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) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((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 (e1) (e3)) = (op (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 (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (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 (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((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 (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (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))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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 (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 (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (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) (e0)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((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 (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((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) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e0)) = (e0))) -> ((op (e2) (e2)) = (e2)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> False).
% 10.13/10.28 do 0 intro. intros zenon_H44 zenon_H18e zenon_H205 zenon_Hbb zenon_H17a zenon_H165 zenon_H1ea zenon_H16e zenon_H156 zenon_H90 zenon_H17c zenon_H7d zenon_H7e zenon_H86 zenon_H132 zenon_H103 zenon_H1cb zenon_H108 zenon_Hf8 zenon_H158 zenon_H145 zenon_H5e zenon_H155 zenon_H91 zenon_Hc5 zenon_H12f zenon_H150 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H1b4 zenon_Hce zenon_Hdd zenon_H1af zenon_Hd2 zenon_Hd3 zenon_Hc0 zenon_He7 zenon_H53 zenon_H181 zenon_H42 zenon_H4c zenon_H95 zenon_H187 zenon_H64 zenon_H157 zenon_H14d zenon_H16b zenon_H1b1 zenon_H35 zenon_H159 zenon_H6f zenon_H198 zenon_H56 zenon_H58 zenon_H7a zenon_H1b7 zenon_H18d zenon_H173 zenon_Hfd zenon_H1fb zenon_H1f8 zenon_H200 zenon_H177 zenon_Hf5 zenon_H1f0 zenon_H1f zenon_H1ef zenon_H114 zenon_H152 zenon_H204 zenon_H4a zenon_H144 zenon_H11d zenon_Hae zenon_H168 zenon_Hc6 zenon_H67 zenon_H16f zenon_Hab zenon_Hde zenon_H112 zenon_H1e6 zenon_H10b zenon_H18a zenon_H1e2 zenon_H97 zenon_Hb0 zenon_H8c zenon_H128 zenon_Hda zenon_H3c zenon_H1de zenon_H1dd zenon_H12c zenon_Hec zenon_He3 zenon_H195 zenon_H69 zenon_H192 zenon_H191 zenon_H28 zenon_H51 zenon_H25 zenon_H3a zenon_H212.
% 10.13/10.28 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.13/10.28 apply (zenon_L494_); trivial.
% 10.13/10.28 apply (zenon_L468_); trivial.
% 10.13/10.28 (* end of lemma zenon_L618_ *)
% 10.13/10.28 assert (zenon_L619_ : (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e0)) = (e0))) -> ((op (e0) (e2)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (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 (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 (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 (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((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) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (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 (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((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)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((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)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (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 (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)) = (op (e2) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (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))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (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) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e0) = (e2))) -> False).
% 10.13/10.28 do 0 intro. intros zenon_H212 zenon_H3a zenon_H25 zenon_H51 zenon_H191 zenon_H192 zenon_H69 zenon_H195 zenon_He3 zenon_Hec zenon_H12c zenon_H1dd zenon_H1de zenon_H3c zenon_Hda zenon_H128 zenon_H8c zenon_Hb0 zenon_H97 zenon_H1e2 zenon_H18a zenon_H10b zenon_H1e6 zenon_H112 zenon_Hde zenon_Hab zenon_H16f zenon_H67 zenon_Hc6 zenon_H168 zenon_Hae zenon_H11d zenon_H144 zenon_H4a zenon_H204 zenon_H152 zenon_H114 zenon_H1ef zenon_H1f zenon_H1f0 zenon_Hf5 zenon_H177 zenon_H200 zenon_H1f8 zenon_H1fb zenon_Hfd zenon_H173 zenon_H18d zenon_H1b7 zenon_H7a zenon_H58 zenon_H56 zenon_H198 zenon_H6f zenon_H159 zenon_H35 zenon_H1b1 zenon_H16b zenon_H14d zenon_H157 zenon_H64 zenon_H187 zenon_H95 zenon_H4c zenon_H42 zenon_H181 zenon_H53 zenon_He7 zenon_Hc0 zenon_Hd3 zenon_Hd2 zenon_H1af zenon_Hdd zenon_Hce zenon_H1b4 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H150 zenon_H12f zenon_Hc5 zenon_H91 zenon_H155 zenon_H5e zenon_H145 zenon_H158 zenon_Hf8 zenon_H108 zenon_H1cb zenon_H103 zenon_H132 zenon_H86 zenon_H7e zenon_H7d zenon_H17c zenon_H90 zenon_H156 zenon_H16e zenon_H1ea zenon_H165 zenon_H17a zenon_Hbb zenon_H205 zenon_H18e zenon_H44.
% 10.13/10.28 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.13/10.28 apply (zenon_L618_); trivial.
% 10.13/10.28 apply (zenon_L343_); trivial.
% 10.13/10.28 (* end of lemma zenon_L619_ *)
% 10.13/10.28 assert (zenon_L620_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (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) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((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 (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (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 (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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 (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (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) (e0)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((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) (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 (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((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))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (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) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e0))) -> ((op (e3) (e0)) = (e3)) -> False).
% 10.13/10.28 do 0 intro. intros zenon_H18e zenon_H205 zenon_Hbb zenon_H17a zenon_H165 zenon_H1ea zenon_H16e zenon_H156 zenon_H7d zenon_H86 zenon_H132 zenon_H103 zenon_H1cb zenon_H108 zenon_Hf8 zenon_H158 zenon_H145 zenon_H5e zenon_H155 zenon_Hc5 zenon_H12f zenon_H150 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_Hce zenon_H1af zenon_Hd2 zenon_Hc0 zenon_He7 zenon_H181 zenon_H187 zenon_H157 zenon_H14d zenon_H16b zenon_H1b1 zenon_H159 zenon_H6f zenon_H58 zenon_H7a zenon_H1b7 zenon_H18d zenon_H173 zenon_Hfd zenon_H1fb zenon_H1f8 zenon_H200 zenon_H177 zenon_H1f zenon_H1ef zenon_H114 zenon_H152 zenon_H204 zenon_H4a zenon_H144 zenon_H11d zenon_Hae zenon_H168 zenon_Hc6 zenon_H67 zenon_H16f zenon_Hab zenon_Hde zenon_H112 zenon_H10b zenon_H18a zenon_H1e2 zenon_Hb0 zenon_H8c zenon_H128 zenon_Hda zenon_H1de zenon_H1dd zenon_H12c zenon_Hec zenon_He3 zenon_H195 zenon_H192 zenon_H191 zenon_H212 zenon_H56 zenon_H1b4 zenon_H90 zenon_H17c zenon_H91 zenon_Hd3 zenon_H27 zenon_H44 zenon_H69 zenon_H35 zenon_Hf5 zenon_H7e zenon_H100 zenon_H1e6 zenon_H1f0 zenon_Hdd zenon_H9a zenon_H198 zenon_H42 zenon_H28 zenon_H53 zenon_H4c zenon_H95 zenon_H97 zenon_H3a zenon_H3c zenon_H64 zenon_H25 zenon_Hbc.
% 10.13/10.28 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.13/10.28 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.13/10.28 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.13/10.28 exact (zenon_H25 zenon_H2a).
% 10.13/10.28 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.13/10.28 apply (zenon_L615_); trivial.
% 10.13/10.28 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.13/10.28 apply (zenon_L619_); trivial.
% 10.13/10.28 apply (zenon_L24_); trivial.
% 10.13/10.28 apply (zenon_L266_); trivial.
% 10.13/10.28 apply (zenon_L267_); trivial.
% 10.13/10.28 (* end of lemma zenon_L620_ *)
% 10.13/10.28 assert (zenon_L621_ : (((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 (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 (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((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) (e1)) = (op (e1) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((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)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (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)) = (op (e2) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((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 (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (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) (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 (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (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) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((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)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (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 (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((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))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (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) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.13/10.28 do 0 intro. intros zenon_H212 zenon_Hec zenon_H1dd zenon_H1de zenon_H128 zenon_H8c zenon_H1e2 zenon_H112 zenon_Hde zenon_Hab zenon_H16f zenon_H67 zenon_Hc6 zenon_H168 zenon_Hae zenon_H11d zenon_H4a zenon_H204 zenon_H152 zenon_H114 zenon_H1ef zenon_H1f zenon_H177 zenon_H1fb zenon_H173 zenon_H1b7 zenon_H58 zenon_H16b zenon_H14d zenon_H157 zenon_H181 zenon_He7 zenon_Hc0 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H150 zenon_H12f zenon_Hc5 zenon_H145 zenon_H158 zenon_H103 zenon_H132 zenon_H16e zenon_H165 zenon_H17a zenon_H18e zenon_H200 zenon_H18a zenon_H86 zenon_H6f zenon_H7a zenon_H7d zenon_H1ea zenon_H159 zenon_H191 zenon_H192 zenon_H195 zenon_H1af zenon_Hda zenon_H187 zenon_H5e zenon_Hb1 zenon_Hb0 zenon_H156 zenon_H12c zenon_H205 zenon_Hbb zenon_H1b1 zenon_Hce zenon_Hd2 zenon_He3 zenon_H18d zenon_H56 zenon_H1b4 zenon_H90 zenon_H17c zenon_H91 zenon_Hd3 zenon_H27 zenon_H44 zenon_H69 zenon_H35 zenon_Hf5 zenon_H7e zenon_H100 zenon_H1e6 zenon_H1f0 zenon_Hdd zenon_H9a zenon_H198 zenon_H42 zenon_H28 zenon_H53 zenon_H4c zenon_H95 zenon_H97 zenon_H3a zenon_H3c zenon_H64 zenon_H25 zenon_H1cb zenon_H108 zenon_H155 zenon_H1f8 zenon_Hfd zenon_H10b zenon_H144 zenon_Hf8.
% 10.13/10.28 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.13/10.28 apply (zenon_L617_); trivial.
% 10.13/10.28 apply (zenon_L620_); trivial.
% 10.13/10.28 (* end of lemma zenon_L621_ *)
% 10.13/10.28 assert (zenon_L622_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (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) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (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)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (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) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (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 (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((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) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((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) (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 (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((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 (e3) (e1)))) -> (~((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))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((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 (e0) (e0)) = (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 (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (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) (e3)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (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 (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> False).
% 10.13/10.28 do 0 intro. intros zenon_Hf8 zenon_H144 zenon_H10b zenon_Hfd zenon_H1f8 zenon_H155 zenon_H108 zenon_H18d zenon_He3 zenon_Hce zenon_H1b1 zenon_Hbb zenon_H205 zenon_H12c zenon_H156 zenon_Hb0 zenon_H5e zenon_Hda zenon_H1af zenon_H195 zenon_H192 zenon_H191 zenon_H159 zenon_H1ea zenon_H7d zenon_H18e zenon_H17a zenon_H165 zenon_H16e zenon_H132 zenon_H103 zenon_H158 zenon_H145 zenon_H12f zenon_H150 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_Hc0 zenon_He7 zenon_H157 zenon_H14d zenon_H16b zenon_H58 zenon_H173 zenon_H1fb zenon_H177 zenon_H1f zenon_H1ef zenon_H114 zenon_H152 zenon_H204 zenon_H4a zenon_H11d zenon_Hae zenon_H168 zenon_Hc6 zenon_H67 zenon_H16f zenon_Hab zenon_Hde zenon_H112 zenon_H1e2 zenon_H8c zenon_H128 zenon_H1dd zenon_Hec zenon_H212 zenon_H64 zenon_H187 zenon_H3c zenon_Hc5 zenon_H198 zenon_Hdd zenon_H1f0 zenon_H1e6 zenon_H7e zenon_Hf5 zenon_H35 zenon_H44 zenon_H27 zenon_Hd3 zenon_H91 zenon_H17c zenon_H90 zenon_H1b4 zenon_H56 zenon_H200 zenon_H18a zenon_H6f zenon_H1cb zenon_H1b7 zenon_H97 zenon_H7a zenon_H95 zenon_H28 zenon_H181 zenon_H42 zenon_H25 zenon_Hd2 zenon_H53 zenon_H69 zenon_H4c zenon_H100 zenon_H86 zenon_H84 zenon_H1de.
% 10.13/10.28 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.28 apply (zenon_L523_); trivial.
% 10.13/10.28 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.13/10.28 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.13/10.28 apply (zenon_L613_); trivial.
% 10.13/10.28 apply (zenon_L621_); trivial.
% 10.13/10.28 apply (zenon_L235_); trivial.
% 10.13/10.28 (* end of lemma zenon_L622_ *)
% 10.13/10.28 assert (zenon_L623_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (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)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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)) = (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) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (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) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((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))))) -> (~((op (e0) (e3)) = (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) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (e1))) -> (((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)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (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)) = (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))))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((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))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (((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) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (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) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 10.13/10.29 do 0 intro. intros zenon_H1de zenon_H69 zenon_Hc1 zenon_Hed zenon_H173 zenon_H103 zenon_Hec zenon_H1b7 zenon_Hdd zenon_Hce zenon_H58 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H1e2 zenon_H18a zenon_H112 zenon_Hab zenon_H67 zenon_H1dd zenon_He3 zenon_H168 zenon_Hae zenon_H191 zenon_H11d zenon_H192 zenon_Hd2 zenon_Hf8 zenon_H144 zenon_H10b zenon_Hfd zenon_H1fb zenon_H128 zenon_H1f8 zenon_H155 zenon_H181 zenon_H17c zenon_H12c zenon_H187 zenon_H108 zenon_H200 zenon_H1cb zenon_H6f zenon_H56 zenon_H1b4 zenon_H3c zenon_Hb0 zenon_Hd3 zenon_H91 zenon_H5e zenon_H90 zenon_H53 zenon_H18d zenon_H7a zenon_H7d zenon_H8c zenon_H14d zenon_H35 zenon_H95 zenon_H44 zenon_H177 zenon_Hc0 zenon_H42 zenon_H4c zenon_Hf5 zenon_H7e zenon_H1e6 zenon_H1f0 zenon_Hda zenon_H1af zenon_H198 zenon_H1f zenon_H159 zenon_H1ea zenon_H195 zenon_H1ef zenon_H97 zenon_H64 zenon_H1b1 zenon_H16b zenon_H114 zenon_H158 zenon_H152 zenon_Hc5 zenon_Hde zenon_He7 zenon_H150 zenon_Hc6 zenon_H156 zenon_H4a zenon_H132 zenon_H145 zenon_H12f zenon_H204 zenon_H86.
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H6c | zenon_intro zenon_H1df ].
% 10.13/10.29 apply (zenon_L18_); trivial.
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H1e0 ].
% 10.13/10.29 exact (zenon_Hc1 zenon_Hc4).
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H161 | zenon_intro zenon_H188 ].
% 10.13/10.29 apply (zenon_L282_); trivial.
% 10.13/10.29 apply (zenon_L379_); trivial.
% 10.13/10.29 (* end of lemma zenon_L623_ *)
% 10.13/10.29 assert (zenon_L624_ : ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e0)) = (e2))) -> ((op (e2) (e2)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (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 (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 (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 (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((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) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (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 (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((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)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((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)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (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 (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)) = (op (e2) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (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))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (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) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e0) = (e2))) -> False).
% 10.13/10.29 do 0 intro. intros zenon_H43 zenon_H27 zenon_H3a zenon_H191 zenon_H192 zenon_H69 zenon_H195 zenon_He3 zenon_Hec zenon_H12c zenon_H1dd zenon_H1de zenon_H3c zenon_Hda zenon_H128 zenon_H8c zenon_Hb0 zenon_H97 zenon_H1e2 zenon_H18a zenon_H10b zenon_H1e6 zenon_H112 zenon_Hde zenon_Hab zenon_H16f zenon_H67 zenon_Hc6 zenon_H168 zenon_Hae zenon_H11d zenon_H144 zenon_H4a zenon_H204 zenon_H152 zenon_H114 zenon_H1ef zenon_H1f zenon_H1f0 zenon_Hf5 zenon_H177 zenon_H200 zenon_H1f8 zenon_H1fb zenon_Hfd zenon_H173 zenon_H18d zenon_H1b7 zenon_H7a zenon_H58 zenon_H56 zenon_H198 zenon_H6f zenon_H159 zenon_H35 zenon_H1b1 zenon_H16b zenon_H14d zenon_H157 zenon_H64 zenon_H187 zenon_H95 zenon_H4c zenon_H42 zenon_H181 zenon_H53 zenon_He7 zenon_Hc0 zenon_Hd3 zenon_Hd2 zenon_H1af zenon_Hdd zenon_Hce zenon_H1b4 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H150 zenon_H12f zenon_Hc5 zenon_H91 zenon_H155 zenon_H5e zenon_H145 zenon_H158 zenon_Hf8 zenon_H108 zenon_H1cb zenon_H103 zenon_H132 zenon_H86 zenon_H7e zenon_H7d zenon_H17c zenon_H90 zenon_H156 zenon_H16e zenon_H1ea zenon_H165 zenon_H17a zenon_Hbb zenon_H205 zenon_H18e zenon_H44.
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.13/10.29 apply (zenon_L466_); trivial.
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.29 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.13/10.29 apply (zenon_L536_); trivial.
% 10.13/10.29 apply (zenon_L623_); trivial.
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.13/10.29 apply (zenon_L532_); trivial.
% 10.13/10.29 apply (zenon_L235_); trivial.
% 10.13/10.29 (* end of lemma zenon_L624_ *)
% 10.13/10.29 assert (zenon_L625_ : ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e0) (e0)) = (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 (e2) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((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 (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((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 (e1) (e1)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> False).
% 10.13/10.29 do 0 intro. intros zenon_H1af zenon_H28 zenon_Hb0 zenon_H90 zenon_H17c zenon_H91 zenon_Hd3 zenon_H5e zenon_H51 zenon_H187 zenon_H64 zenon_He3 zenon_Hda zenon_H56 zenon_Hd2 zenon_Hce zenon_H198 zenon_H35 zenon_H1b1 zenon_Hbb zenon_H95 zenon_H205 zenon_H12c zenon_H192 zenon_H1b4 zenon_H156 zenon_H53 zenon_H69 zenon_H4c zenon_H100 zenon_H86 zenon_H84 zenon_H1de.
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.29 apply (zenon_L523_); trivial.
% 10.13/10.29 apply (zenon_L488_); trivial.
% 10.13/10.29 (* end of lemma zenon_L625_ *)
% 10.13/10.29 assert (zenon_L626_ : (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (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) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((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 (e1) (e3)) = (op (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 (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (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 (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((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 (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (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))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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 (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 (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (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) (e0)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((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 (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((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) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> ((op (e3) (e3)) = (e3)) -> False).
% 10.13/10.29 do 0 intro. intros zenon_H44 zenon_H18e zenon_H205 zenon_Hbb zenon_H17a zenon_H165 zenon_H1ea zenon_H16e zenon_H156 zenon_H90 zenon_H17c zenon_H7d zenon_H7e zenon_H86 zenon_H132 zenon_H103 zenon_H1cb zenon_H108 zenon_Hf8 zenon_H158 zenon_H145 zenon_H5e zenon_H155 zenon_H91 zenon_Hc5 zenon_H12f zenon_H150 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H1b4 zenon_Hce zenon_Hdd zenon_H1af zenon_Hd2 zenon_Hd3 zenon_Hc0 zenon_He7 zenon_H53 zenon_H181 zenon_H42 zenon_H4c zenon_H95 zenon_H187 zenon_H64 zenon_H157 zenon_H14d zenon_H16b zenon_H1b1 zenon_H35 zenon_H159 zenon_H6f zenon_H198 zenon_H56 zenon_H58 zenon_H7a zenon_H1b7 zenon_H18d zenon_H173 zenon_Hfd zenon_H1fb zenon_H1f8 zenon_H200 zenon_H177 zenon_Hf5 zenon_H1f0 zenon_H1f zenon_H1ef zenon_H114 zenon_H152 zenon_H204 zenon_H4a zenon_H144 zenon_H11d zenon_Hae zenon_H168 zenon_Hc6 zenon_H67 zenon_H16f zenon_Hab zenon_Hde zenon_H112 zenon_H1e6 zenon_H10b zenon_H18a zenon_H1e2 zenon_H97 zenon_Hb0 zenon_H8c zenon_H128 zenon_Hda zenon_H3c zenon_H1de zenon_H1dd zenon_H12c zenon_Hec zenon_He3 zenon_H195 zenon_H69 zenon_H192 zenon_H191 zenon_H51 zenon_H84.
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.13/10.29 apply (zenon_L466_); trivial.
% 10.13/10.29 apply (zenon_L625_); trivial.
% 10.13/10.29 apply (zenon_L343_); trivial.
% 10.13/10.29 (* end of lemma zenon_L626_ *)
% 10.13/10.29 assert (zenon_L627_ : (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (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) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((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 (e1) (e3)) = (op (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 (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (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 (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((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 (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (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))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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 (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 (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (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) (e0)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((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 (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((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) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> False).
% 10.13/10.29 do 0 intro. intros zenon_H44 zenon_H18e zenon_H205 zenon_Hbb zenon_H17a zenon_H165 zenon_H1ea zenon_H16e zenon_H156 zenon_H90 zenon_H17c zenon_H7d zenon_H7e zenon_H86 zenon_H132 zenon_H103 zenon_H1cb zenon_H108 zenon_Hf8 zenon_H158 zenon_H145 zenon_H5e zenon_H155 zenon_H91 zenon_Hc5 zenon_H12f zenon_H150 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H1b4 zenon_Hce zenon_Hdd zenon_H1af zenon_Hd2 zenon_Hd3 zenon_Hc0 zenon_He7 zenon_H53 zenon_H181 zenon_H42 zenon_H4c zenon_H95 zenon_H187 zenon_H64 zenon_H157 zenon_H14d zenon_H16b zenon_H1b1 zenon_H35 zenon_H159 zenon_H6f zenon_H198 zenon_H56 zenon_H58 zenon_H7a zenon_H1b7 zenon_H18d zenon_H173 zenon_Hfd zenon_H1fb zenon_H1f8 zenon_H200 zenon_H177 zenon_Hf5 zenon_H1f0 zenon_H1f zenon_H1ef zenon_H114 zenon_H152 zenon_H204 zenon_H4a zenon_H144 zenon_H11d zenon_Hae zenon_H168 zenon_Hc6 zenon_H67 zenon_H16f zenon_Hab zenon_Hde zenon_H112 zenon_H1e6 zenon_H10b zenon_H18a zenon_H1e2 zenon_H97 zenon_Hb0 zenon_H8c zenon_H128 zenon_Hda zenon_H3c zenon_H1de zenon_H1dd zenon_H12c zenon_Hec zenon_He3 zenon_H195 zenon_H69 zenon_H192 zenon_H191 zenon_H212.
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.13/10.29 apply (zenon_L100_); trivial.
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.13/10.29 exact (zenon_H192 zenon_H1d).
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.13/10.29 apply (zenon_L466_); trivial.
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.13/10.29 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.13/10.29 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.13/10.29 apply (zenon_L611_); trivial.
% 10.13/10.29 apply (zenon_L622_); trivial.
% 10.13/10.29 apply (zenon_L623_); trivial.
% 10.13/10.29 apply (zenon_L354_); trivial.
% 10.13/10.29 apply (zenon_L321_); trivial.
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.13/10.29 apply (zenon_L621_); trivial.
% 10.13/10.29 apply (zenon_L321_); trivial.
% 10.13/10.29 apply (zenon_L468_); trivial.
% 10.13/10.29 apply (zenon_L624_); trivial.
% 10.13/10.29 apply (zenon_L619_); trivial.
% 10.13/10.29 apply (zenon_L100_); trivial.
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.13/10.29 apply (zenon_L466_); trivial.
% 10.13/10.29 apply (zenon_L622_); trivial.
% 10.13/10.29 apply (zenon_L535_); trivial.
% 10.13/10.29 apply (zenon_L626_); trivial.
% 10.13/10.29 apply (zenon_L100_); trivial.
% 10.13/10.29 (* end of lemma zenon_L627_ *)
% 10.13/10.29 assert (zenon_L628_ : (((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) (e2)) = (e0))) -> (~((e0) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False).
% 10.13/10.29 do 0 intro. intros zenon_H1b4 zenon_H56 zenon_H223 zenon_H43 zenon_H181 zenon_Hb1 zenon_H44 zenon_Hb8 zenon_Hb0 zenon_He4 zenon_H5e.
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 10.13/10.29 exact (zenon_H56 zenon_H2c).
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 10.13/10.29 exact (zenon_H223 zenon_H15a).
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 10.13/10.29 apply (zenon_L555_); trivial.
% 10.13/10.29 apply (zenon_L62_); trivial.
% 10.13/10.29 (* end of lemma zenon_L628_ *)
% 10.13/10.29 assert (zenon_L629_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e3) (e0)) = (e1)) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e3) (e3)) = (e2))) -> False).
% 10.13/10.29 do 0 intro. intros zenon_H177 zenon_H35 zenon_Hf0 zenon_Hb8 zenon_H114 zenon_H10b zenon_H3b zenon_H7f.
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H178 ].
% 10.13/10.29 apply (zenon_L211_); trivial.
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H179 ].
% 10.13/10.29 apply (zenon_L398_); trivial.
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H135 | zenon_intro zenon_H85 ].
% 10.13/10.29 apply (zenon_L104_); trivial.
% 10.13/10.29 exact (zenon_H7f zenon_H85).
% 10.13/10.29 (* end of lemma zenon_L629_ *)
% 10.13/10.29 assert (zenon_L630_ : (((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) (e2)) = (e0))) -> (~((e0) = (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))))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e3) (e3)) = (e2))) -> False).
% 10.13/10.29 do 0 intro. intros zenon_H1b4 zenon_H56 zenon_H223 zenon_H43 zenon_H181 zenon_Hb1 zenon_H44 zenon_H5e zenon_Hb0 zenon_H177 zenon_H35 zenon_Hb8 zenon_H114 zenon_H10b zenon_H3b zenon_H7f.
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 10.13/10.29 exact (zenon_H56 zenon_H2c).
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 10.13/10.29 exact (zenon_H223 zenon_H15a).
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 10.13/10.29 apply (zenon_L555_); trivial.
% 10.13/10.29 apply (zenon_L629_); trivial.
% 10.13/10.29 (* end of lemma zenon_L630_ *)
% 10.13/10.29 assert (zenon_L631_ : (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (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) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((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 (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (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 (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((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 (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (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))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((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)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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 (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 (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (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) (e0)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((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 (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((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) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (~((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) (e3)) = (e1)) -> ((op (e1) (e2)) = (e1)) -> ((op (e3) (e3)) = (e3)) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((op (e0) (e2)) = (e2)) -> False).
% 10.13/10.29 do 0 intro. intros zenon_H223 zenon_He8 zenon_Hb1 zenon_H25 zenon_H44 zenon_H18e zenon_H205 zenon_Hbb zenon_H17a zenon_H165 zenon_H1ea zenon_H16e zenon_H156 zenon_H90 zenon_H17c zenon_H86 zenon_H132 zenon_H103 zenon_H1cb zenon_H108 zenon_Hf8 zenon_H158 zenon_H145 zenon_H5e zenon_H155 zenon_Hc5 zenon_H12f zenon_H150 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H1b4 zenon_Hce zenon_Hdd zenon_H1af zenon_Hd2 zenon_Hd3 zenon_Hc0 zenon_He7 zenon_H53 zenon_H181 zenon_H42 zenon_H4c zenon_H95 zenon_H187 zenon_H64 zenon_H157 zenon_H14d zenon_H16b zenon_H1b1 zenon_H35 zenon_H159 zenon_H6f zenon_H198 zenon_H56 zenon_H58 zenon_H1b7 zenon_H18d zenon_H173 zenon_Hfd zenon_H1fb zenon_H1f8 zenon_H200 zenon_H177 zenon_Hf5 zenon_H1f0 zenon_H1f zenon_H1ef zenon_H114 zenon_H152 zenon_H204 zenon_H4a zenon_H144 zenon_H11d zenon_Hae zenon_H168 zenon_Hc6 zenon_H67 zenon_H16f zenon_Hab zenon_Hde zenon_H112 zenon_H1e6 zenon_H10b zenon_H18a zenon_H1e2 zenon_H97 zenon_Hb0 zenon_H8c zenon_H128 zenon_Hda zenon_H3c zenon_H1de zenon_H1dd zenon_H12c zenon_Hec zenon_He3 zenon_H195 zenon_H192 zenon_H191 zenon_H27 zenon_H7a zenon_H43 zenon_H7d zenon_H9a zenon_H100 zenon_H84 zenon_H151 zenon_H3b.
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.13/10.29 apply (zenon_L543_); trivial.
% 10.13/10.29 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.13/10.29 apply (zenon_L630_); trivial.
% 10.13/10.29 apply (zenon_L359_); trivial.
% 10.13/10.29 (* end of lemma zenon_L631_ *)
% 10.13/10.29 assert (zenon_L632_ : ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e2) (e2)) = (e0))) -> ((op (e3) (e3)) = (e3)) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (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) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (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 (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 (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 (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((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) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (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 (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((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) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((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)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (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 (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)) = (op (e2) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (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) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (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) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e0) = (e2))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> False).
% 10.13/10.29 do 0 intro. intros zenon_H174 zenon_H11b zenon_H223 zenon_Hb1 zenon_H84 zenon_H151 zenon_H7d zenon_H7a zenon_H195 zenon_He3 zenon_Hec zenon_H12c zenon_H1dd zenon_H1de zenon_H3c zenon_Hda zenon_H128 zenon_H8c zenon_Hb0 zenon_H97 zenon_H1e2 zenon_H18a zenon_H10b zenon_H1e6 zenon_H112 zenon_Hde zenon_Hab zenon_H16f zenon_H67 zenon_Hc6 zenon_H168 zenon_Hae zenon_H11d zenon_H144 zenon_H4a zenon_H204 zenon_H152 zenon_H114 zenon_H1ef zenon_H1f zenon_H1f0 zenon_Hf5 zenon_H177 zenon_H200 zenon_H1f8 zenon_H1fb zenon_Hfd zenon_H173 zenon_H18d zenon_H1b7 zenon_H58 zenon_H198 zenon_H6f zenon_H159 zenon_H35 zenon_H1b1 zenon_H16b zenon_H14d zenon_H157 zenon_H64 zenon_H187 zenon_H95 zenon_H4c zenon_H42 zenon_H181 zenon_H53 zenon_He7 zenon_Hc0 zenon_Hd3 zenon_Hd2 zenon_H1af zenon_Hdd zenon_Hce zenon_H1b4 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H150 zenon_H12f zenon_Hc5 zenon_H155 zenon_H5e zenon_H145 zenon_H158 zenon_Hf8 zenon_H108 zenon_H1cb zenon_H103 zenon_H86 zenon_H17c zenon_H90 zenon_H156 zenon_H16e zenon_H1ea zenon_H165 zenon_H17a zenon_Hbb zenon_H205 zenon_H18e zenon_H44 zenon_H212 zenon_H184 zenon_H191 zenon_H25 zenon_H132 zenon_H3b zenon_H24.
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.13/10.29 apply (zenon_L589_); trivial.
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.29 apply (zenon_L190_); trivial.
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.13/10.29 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.13/10.29 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 10.13/10.29 exact (zenon_H25 zenon_H2a).
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 10.13/10.29 apply (zenon_L536_); trivial.
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 10.13/10.29 apply (zenon_L43_); trivial.
% 10.13/10.29 apply (zenon_L609_); trivial.
% 10.13/10.29 apply (zenon_L254_); trivial.
% 10.13/10.29 apply (zenon_L161_); trivial.
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 10.13/10.29 exact (zenon_H25 zenon_H2a).
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 10.13/10.29 apply (zenon_L627_); trivial.
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 10.13/10.29 apply (zenon_L541_); trivial.
% 10.13/10.29 apply (zenon_L609_); trivial.
% 10.13/10.29 apply (zenon_L161_); trivial.
% 10.13/10.29 apply (zenon_L5_); trivial.
% 10.13/10.29 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 10.13/10.29 exact (zenon_H25 zenon_H2a).
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 10.13/10.29 exact (zenon_H56 zenon_H2c).
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 10.13/10.29 exact (zenon_H223 zenon_H15a).
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 10.13/10.29 apply (zenon_L555_); trivial.
% 10.13/10.29 apply (zenon_L556_); trivial.
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 10.13/10.29 apply (zenon_L557_); trivial.
% 10.13/10.29 apply (zenon_L628_); trivial.
% 10.13/10.29 apply (zenon_L164_); trivial.
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.29 apply (zenon_L560_); trivial.
% 10.13/10.29 apply (zenon_L631_); trivial.
% 10.13/10.29 apply (zenon_L590_); trivial.
% 10.13/10.29 exact (zenon_H223 zenon_H15a).
% 10.13/10.29 apply (zenon_L602_); trivial.
% 10.13/10.29 apply (zenon_L603_); trivial.
% 10.13/10.29 (* end of lemma zenon_L632_ *)
% 10.13/10.29 assert (zenon_L633_ : (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e3)) = (op (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 (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e0) (e3)) = (op (e2) (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))))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (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 (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((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)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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 (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((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 (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (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 (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)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e1) (e1)) = (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)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (((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 (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> False).
% 10.13/10.29 do 0 intro. intros zenon_H169 zenon_H14a zenon_H118 zenon_H1d zenon_H110 zenon_H24 zenon_H132 zenon_H191 zenon_H184 zenon_H212 zenon_H205 zenon_H17a zenon_H165 zenon_H1ea zenon_H16e zenon_H156 zenon_H17c zenon_H103 zenon_H1cb zenon_H108 zenon_H158 zenon_H145 zenon_H155 zenon_H12f zenon_H150 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H1b4 zenon_H1af zenon_H181 zenon_H42 zenon_H187 zenon_H64 zenon_H157 zenon_H14d zenon_H16b zenon_H1b1 zenon_H159 zenon_H198 zenon_H58 zenon_H1b7 zenon_H18d zenon_H173 zenon_Hfd zenon_H1fb zenon_H1f8 zenon_H200 zenon_H177 zenon_H1f0 zenon_H1f zenon_H1ef zenon_H114 zenon_H152 zenon_H204 zenon_H4a zenon_H144 zenon_H11d zenon_H168 zenon_H67 zenon_H16f zenon_H112 zenon_H1e6 zenon_H10b zenon_H18a zenon_H1e2 zenon_H128 zenon_H3c zenon_H1de zenon_H1dd zenon_H12c zenon_H195 zenon_H151 zenon_H223 zenon_H11b zenon_H174 zenon_H25 zenon_Hdd zenon_H28 zenon_H53 zenon_Hae zenon_H90 zenon_H7d zenon_H7a zenon_H86 zenon_H8d zenon_H8c zenon_H91 zenon_H5e zenon_H4c zenon_Hb1 zenon_Hab zenon_H35 zenon_H68 zenon_H95 zenon_H97 zenon_Hb0 zenon_H3b zenon_H6f zenon_Haf zenon_Hde zenon_Hd3 zenon_Hc5 zenon_Hc7 zenon_Hc6 zenon_Hce zenon_Hd2 zenon_Hc1 zenon_Hbb zenon_Hc0 zenon_Hda zenon_H44 zenon_H27 zenon_Hc8 zenon_Hf8 zenon_Hec zenon_He8 zenon_He7 zenon_Hf5 zenon_He3 zenon_H18e.
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.13/10.29 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.13/10.29 apply (zenon_L592_); trivial.
% 10.13/10.29 apply (zenon_L632_); trivial.
% 10.13/10.29 apply (zenon_L77_); trivial.
% 10.13/10.29 apply (zenon_L594_); trivial.
% 10.13/10.29 (* end of lemma zenon_L633_ *)
% 10.13/10.29 assert (zenon_L634_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (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 (e1) (e1)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (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))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (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)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (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) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (~((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)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (((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 (e0) (e2)) = (e2)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (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 (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (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) (e2)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (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) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (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 (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 (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e2)) = (op (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 (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> False).
% 10.13/10.29 do 0 intro. intros zenon_H18e zenon_Hf8 zenon_He7 zenon_Hbb zenon_He8 zenon_Hec zenon_He3 zenon_H173 zenon_H16e zenon_H64 zenon_Hf5 zenon_H169 zenon_H1f zenon_H16b zenon_H16f zenon_H118 zenon_H110 zenon_Hd3 zenon_Hfd zenon_H174 zenon_H156 zenon_H155 zenon_H157 zenon_H150 zenon_H12f zenon_H144 zenon_H10b zenon_H3c zenon_Hc5 zenon_H132 zenon_H86 zenon_H145 zenon_H14d zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H165 zenon_H108 zenon_H159 zenon_H103 zenon_H168 zenon_H177 zenon_Hc1 zenon_H12c zenon_H11b zenon_H128 zenon_H1d zenon_H11d zenon_H8d zenon_H7a zenon_H7d zenon_H8c zenon_Hc8 zenon_H114 zenon_Hc0 zenon_H27 zenon_H44 zenon_H112 zenon_Hb8 zenon_Hda zenon_Haf zenon_H6f zenon_H3b zenon_Hb0 zenon_H97 zenon_H4c zenon_H95 zenon_H68 zenon_H35 zenon_H5e zenon_Hab zenon_Hb1 zenon_Hae zenon_H53 zenon_H28 zenon_Hdd zenon_H25 zenon_H223 zenon_H195 zenon_H1dd zenon_H1de zenon_H1e2 zenon_H18a zenon_H1e6 zenon_Hde zenon_H67 zenon_Hc6 zenon_H4a zenon_H204 zenon_H1ef zenon_H1f0 zenon_H200 zenon_H1f8 zenon_H1fb zenon_H18d zenon_H1b7 zenon_H58 zenon_H198 zenon_H1b1 zenon_H187 zenon_H42 zenon_H181 zenon_Hd2 zenon_H1af zenon_Hce zenon_H1b4 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H1cb zenon_H17c zenon_H90 zenon_H1ea zenon_H17a zenon_H205 zenon_H212 zenon_H184 zenon_H191 zenon_H24.
% 10.13/10.29 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.13/10.29 apply (zenon_L596_); trivial.
% 10.13/10.29 apply (zenon_L632_); trivial.
% 10.13/10.29 apply (zenon_L183_); trivial.
% 10.13/10.29 (* end of lemma zenon_L634_ *)
% 10.13/10.29 assert (zenon_L635_ : (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e2) (e2)) = (e0))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (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) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (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 (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 (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 (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((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) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (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 (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((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) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((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)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (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 (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)) = (op (e2) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (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) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (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) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e0) = (e2))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> False).
% 10.13/10.29 do 0 intro. intros zenon_H169 zenon_H14a zenon_H118 zenon_H110 zenon_H8d zenon_H174 zenon_H11b zenon_H223 zenon_Hb1 zenon_H151 zenon_H7d zenon_H7a zenon_H195 zenon_He3 zenon_Hec zenon_H12c zenon_H1dd zenon_H1de zenon_H3c zenon_Hda zenon_H128 zenon_H8c zenon_Hb0 zenon_H97 zenon_H1e2 zenon_H18a zenon_H10b zenon_H1e6 zenon_H112 zenon_Hde zenon_Hab zenon_H16f zenon_H67 zenon_Hc6 zenon_H168 zenon_Hae zenon_H11d zenon_H144 zenon_H4a zenon_H204 zenon_H152 zenon_H114 zenon_H1ef zenon_H1f zenon_H1f0 zenon_Hf5 zenon_H177 zenon_H200 zenon_H1f8 zenon_H1fb zenon_Hfd zenon_H173 zenon_H18d zenon_H1b7 zenon_H58 zenon_H198 zenon_H6f zenon_H159 zenon_H35 zenon_H1b1 zenon_H16b zenon_H14d zenon_H157 zenon_H64 zenon_H187 zenon_H95 zenon_H4c zenon_H42 zenon_H181 zenon_H53 zenon_He7 zenon_Hc0 zenon_Hd3 zenon_Hd2 zenon_H1af zenon_Hdd zenon_Hce zenon_H1b4 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H150 zenon_H12f zenon_Hc5 zenon_H155 zenon_H5e zenon_H145 zenon_H158 zenon_Hf8 zenon_H108 zenon_H1cb zenon_H103 zenon_H86 zenon_H17c zenon_H90 zenon_H156 zenon_H16e zenon_H1ea zenon_H165 zenon_H17a zenon_Hbb zenon_H205 zenon_H18e zenon_H44 zenon_H212 zenon_H184 zenon_H191 zenon_H25 zenon_H132 zenon_H3b zenon_H24.
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.13/10.29 exact (zenon_H25 zenon_H2a).
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.13/10.29 apply (zenon_L591_); trivial.
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.13/10.29 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.13/10.29 apply (zenon_L633_); trivial.
% 10.13/10.29 apply (zenon_L176_); trivial.
% 10.13/10.29 apply (zenon_L5_); trivial.
% 10.13/10.29 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.13/10.29 apply (zenon_L634_); trivial.
% 10.13/10.29 apply (zenon_L164_); trivial.
% 10.13/10.29 apply (zenon_L88_); trivial.
% 10.13/10.29 apply (zenon_L149_); trivial.
% 10.13/10.29 exact (zenon_H223 zenon_H15a).
% 10.13/10.29 apply (zenon_L85_); trivial.
% 10.13/10.29 apply (zenon_L69_); trivial.
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.13/10.29 apply (zenon_L5_); trivial.
% 10.13/10.29 apply (zenon_L632_); trivial.
% 10.13/10.29 (* end of lemma zenon_L635_ *)
% 10.13/10.29 assert (zenon_L636_ : (((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) (e2)) = (e0))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e2))) -> (~((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) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e2) (e0)) = (e2))) -> (~((e1) = (e2))) -> False).
% 10.13/10.29 do 0 intro. intros zenon_H1b4 zenon_H56 zenon_H223 zenon_H43 zenon_H181 zenon_Hb1 zenon_H1e2 zenon_Hc7 zenon_H17c zenon_H5e zenon_Hb0 zenon_H3b zenon_H6f zenon_Haf zenon_Hae zenon_Hdd zenon_H27 zenon_H44 zenon_H69 zenon_H221 zenon_H35.
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 10.13/10.29 exact (zenon_H56 zenon_H2c).
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 10.13/10.29 exact (zenon_H223 zenon_H15a).
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 10.13/10.29 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6a | zenon_intro zenon_Hb2 ].
% 10.13/10.29 apply (zenon_L17_); trivial.
% 10.13/10.29 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb3 ].
% 10.13/10.29 exact (zenon_Haf zenon_Hb4).
% 10.13/10.29 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H6e | zenon_intro zenon_H9b ].
% 10.13/10.29 apply (zenon_L19_); trivial.
% 10.13/10.29 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hb5 ].
% 10.13/10.29 apply (zenon_L165_); trivial.
% 10.13/10.29 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H78 | zenon_intro zenon_Hb6 ].
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_Hcf | zenon_intro zenon_H1e3 ].
% 10.13/10.29 exact (zenon_H221 zenon_Hcf).
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H1e4 ].
% 10.13/10.29 apply (zenon_L57_); trivial.
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd0 ].
% 10.13/10.29 exact (zenon_Hc7 zenon_H3a).
% 10.13/10.29 apply (zenon_L162_); trivial.
% 10.13/10.29 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H89 ].
% 10.13/10.29 exact (zenon_Hb1 zenon_Hb7).
% 10.13/10.29 apply (zenon_L548_); trivial.
% 10.13/10.29 apply (zenon_L572_); trivial.
% 10.13/10.29 (* end of lemma zenon_L636_ *)
% 10.13/10.29 assert (zenon_L637_ : (((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) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 10.13/10.29 do 0 intro. intros zenon_H18a zenon_H43 zenon_H187 zenon_H1d zenon_H11d zenon_H17c zenon_Hd0 zenon_H84 zenon_H86.
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H87 | zenon_intro zenon_H18b ].
% 10.13/10.29 apply (zenon_L276_); trivial.
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H9a | zenon_intro zenon_H18c ].
% 10.13/10.29 apply (zenon_L88_); trivial.
% 10.13/10.29 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H9b | zenon_intro zenon_H188 ].
% 10.13/10.29 apply (zenon_L162_); trivial.
% 10.13/10.29 apply (zenon_L252_); trivial.
% 10.13/10.29 (* end of lemma zenon_L637_ *)
% 10.13/10.29 assert (zenon_L638_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> False).
% 10.13/10.29 do 0 intro. intros zenon_Hd2 zenon_H187 zenon_H43 zenon_H11d zenon_H1d zenon_H17c zenon_H86 zenon_H84 zenon_H18a zenon_Hc6 zenon_H73 zenon_H91 zenon_Hc7 zenon_Hc5.
% 10.13/10.29 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.13/10.30 apply (zenon_L43_); trivial.
% 10.13/10.30 apply (zenon_L637_); trivial.
% 10.13/10.30 (* end of lemma zenon_L638_ *)
% 10.13/10.30 assert (zenon_L639_ : (((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))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 10.13/10.30 do 0 intro. intros zenon_H1de zenon_H53 zenon_H69 zenon_Hc1 zenon_H1e6 zenon_Hed zenon_H84 zenon_H86.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H6c | zenon_intro zenon_H1df ].
% 10.13/10.30 apply (zenon_L18_); trivial.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H1e0 ].
% 10.13/10.30 exact (zenon_Hc1 zenon_Hc4).
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H161 | zenon_intro zenon_H188 ].
% 10.13/10.30 apply (zenon_L282_); trivial.
% 10.13/10.30 apply (zenon_L252_); trivial.
% 10.13/10.30 (* end of lemma zenon_L639_ *)
% 10.13/10.30 assert (zenon_L640_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (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 (e3) (e0)) = (op (e3) (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))))) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> False).
% 10.13/10.30 do 0 intro. intros zenon_H18e zenon_H25 zenon_H86 zenon_H1e6 zenon_H1de zenon_H84 zenon_H205 zenon_Hc8 zenon_H12c zenon_Hc0 zenon_Hbb zenon_H44 zenon_He8 zenon_H53 zenon_He7 zenon_Hc1 zenon_H95 zenon_Hb8 zenon_Hec zenon_Hed.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 10.13/10.30 exact (zenon_H25 zenon_H2a).
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 10.13/10.30 apply (zenon_L639_); trivial.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 10.13/10.30 apply (zenon_L557_); trivial.
% 10.13/10.30 apply (zenon_L61_); trivial.
% 10.13/10.30 (* end of lemma zenon_L640_ *)
% 10.13/10.30 assert (zenon_L641_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (((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) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (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) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.13/10.30 do 0 intro. intros zenon_Hd2 zenon_H184 zenon_H1b4 zenon_H35 zenon_H114 zenon_H10b zenon_H3b zenon_H177 zenon_H5e zenon_H44 zenon_Hb8 zenon_Hb1 zenon_H181 zenon_H43 zenon_Hb0 zenon_H223 zenon_H56 zenon_H18e zenon_He7 zenon_Hbb zenon_He8 zenon_Hec zenon_Hc0 zenon_H95 zenon_H205 zenon_H12c zenon_H53 zenon_Hc1 zenon_H1e6 zenon_H86 zenon_H84 zenon_H1de zenon_H25 zenon_Hf8.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.13/10.30 apply (zenon_L630_); trivial.
% 10.13/10.30 apply (zenon_L640_); trivial.
% 10.13/10.30 apply (zenon_L164_); trivial.
% 10.13/10.30 (* end of lemma zenon_L641_ *)
% 10.13/10.30 assert (zenon_L642_ : ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (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) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((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 (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (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 (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((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 (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (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))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((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)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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 (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 (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (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) (e0)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((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 (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((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) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((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)) = (e2))) -> ((op (e3) (e3)) = (e3)) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((op (e0) (e2)) = (e2)) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> False).
% 10.13/10.30 do 0 intro. intros zenon_H174 zenon_H11b zenon_H184 zenon_H223 zenon_H216 zenon_H44 zenon_H18e zenon_H205 zenon_Hbb zenon_H17a zenon_H165 zenon_H1ea zenon_H16e zenon_H156 zenon_H90 zenon_H17c zenon_H86 zenon_H103 zenon_H1cb zenon_H108 zenon_Hf8 zenon_H158 zenon_H145 zenon_H5e zenon_H155 zenon_Hc5 zenon_H12f zenon_H150 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H1b4 zenon_Hce zenon_Hdd zenon_H1af zenon_Hd2 zenon_Hd3 zenon_Hc0 zenon_He7 zenon_H53 zenon_H181 zenon_H42 zenon_H4c zenon_H95 zenon_H187 zenon_H64 zenon_H157 zenon_H14d zenon_H16b zenon_H1b1 zenon_H35 zenon_H159 zenon_H6f zenon_H198 zenon_H58 zenon_H1b7 zenon_H18d zenon_H173 zenon_Hfd zenon_H1fb zenon_H1f8 zenon_H200 zenon_H177 zenon_Hf5 zenon_H1f0 zenon_H1f zenon_H1ef zenon_H114 zenon_H152 zenon_H204 zenon_H4a zenon_H144 zenon_H11d zenon_Hae zenon_H168 zenon_Hc6 zenon_H67 zenon_H16f zenon_Hab zenon_Hde zenon_H112 zenon_H1e6 zenon_H10b zenon_H18a zenon_H1e2 zenon_H97 zenon_Hb0 zenon_H8c zenon_H128 zenon_Hda zenon_H3c zenon_H1de zenon_H1dd zenon_H12c zenon_Hec zenon_He3 zenon_H195 zenon_H7a zenon_H7d zenon_H221 zenon_H84 zenon_H151 zenon_H191 zenon_H25 zenon_H132 zenon_H3b zenon_H24.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.13/10.30 apply (zenon_L589_); trivial.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.30 apply (zenon_L190_); trivial.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.13/10.30 apply (zenon_L606_); trivial.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 10.13/10.30 exact (zenon_H25 zenon_H2a).
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 10.13/10.30 apply (zenon_L636_); trivial.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 10.13/10.30 apply (zenon_L557_); trivial.
% 10.13/10.30 apply (zenon_L628_); trivial.
% 10.13/10.30 apply (zenon_L164_); trivial.
% 10.13/10.30 apply (zenon_L500_); trivial.
% 10.13/10.30 exact (zenon_H221 zenon_Hcf).
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.30 apply (zenon_L560_); trivial.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.13/10.30 apply (zenon_L631_); trivial.
% 10.13/10.30 exact (zenon_H221 zenon_Hcf).
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 10.13/10.30 exact (zenon_H25 zenon_H2a).
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 10.13/10.30 apply (zenon_L636_); trivial.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 10.13/10.30 apply (zenon_L638_); trivial.
% 10.13/10.30 apply (zenon_L570_); trivial.
% 10.13/10.30 apply (zenon_L637_); trivial.
% 10.13/10.30 apply (zenon_L5_); trivial.
% 10.13/10.30 apply (zenon_L641_); trivial.
% 10.13/10.30 exact (zenon_H221 zenon_Hcf).
% 10.13/10.30 apply (zenon_L88_); trivial.
% 10.13/10.30 apply (zenon_L149_); trivial.
% 10.13/10.30 exact (zenon_H223 zenon_H15a).
% 10.13/10.30 apply (zenon_L602_); trivial.
% 10.13/10.30 apply (zenon_L603_); trivial.
% 10.13/10.30 (* end of lemma zenon_L642_ *)
% 10.13/10.30 assert (zenon_L643_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e1)) = (e3)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e2)) = (e2)) -> ((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))))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e2) = (e3))) -> False).
% 10.13/10.30 do 0 intro. intros zenon_Hdd zenon_H27 zenon_H221 zenon_Hda zenon_Hbd zenon_Hb0 zenon_H44 zenon_Hb1 zenon_Hab zenon_H4c zenon_H3b zenon_H68 zenon_H53 zenon_H28 zenon_H97 zenon_H35 zenon_H5e zenon_Haf zenon_Hde zenon_H6f zenon_H69 zenon_Hae zenon_H95.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hdf ].
% 10.13/10.30 exact (zenon_H27 zenon_H32).
% 10.13/10.30 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H6a | zenon_intro zenon_He0 ].
% 10.13/10.30 apply (zenon_L17_); trivial.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd8 ].
% 10.13/10.30 exact (zenon_H221 zenon_Hcf).
% 10.13/10.30 apply (zenon_L83_); trivial.
% 10.13/10.30 (* end of lemma zenon_L643_ *)
% 10.13/10.30 assert (zenon_L644_ : ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> ((op (e1) (e1)) = (e1)) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (((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 (e1) (e1)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((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))))) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (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 (e1) (e1)) = (op (e3) (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)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (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)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> False).
% 10.13/10.30 do 0 intro. intros zenon_H1ea zenon_H1d zenon_Hf8 zenon_H44 zenon_H68 zenon_Hc0 zenon_Hec zenon_H95 zenon_Hc1 zenon_H53 zenon_He8 zenon_Hbb zenon_He7 zenon_Hf5 zenon_H4c zenon_H35 zenon_H5e zenon_Hde zenon_He3 zenon_He4 zenon_H80 zenon_H7d zenon_H173 zenon_H16e zenon_H64 zenon_H7a zenon_H169 zenon_H1f zenon_H16b zenon_Hda zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_H28 zenon_Hfd zenon_H174 zenon_H156 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_H12f zenon_H144 zenon_H10b zenon_H3c zenon_Hc8 zenon_Hc5 zenon_H132 zenon_H86 zenon_H145 zenon_H14d zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H165 zenon_H108 zenon_H159 zenon_H103 zenon_H168 zenon_H177.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.13/10.30 apply (zenon_L593_); trivial.
% 10.13/10.30 apply (zenon_L149_); trivial.
% 10.13/10.30 (* end of lemma zenon_L644_ *)
% 10.13/10.30 assert (zenon_L645_ : ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((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 (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (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) (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 (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((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 (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((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) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((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)) = (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)) = (e1)))\/((op (e2) (e1)) = (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) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (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) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (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 (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (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 (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)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e0) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e1) (e1)) = (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)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (((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 (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> False).
% 10.13/10.30 do 0 intro. intros zenon_H1d zenon_H169 zenon_H118 zenon_H110 zenon_H14a zenon_H24 zenon_H132 zenon_H191 zenon_H151 zenon_H221 zenon_H195 zenon_H12c zenon_H1dd zenon_H1de zenon_H3c zenon_H128 zenon_H1e2 zenon_H18a zenon_H10b zenon_H1e6 zenon_H112 zenon_H16f zenon_H67 zenon_H168 zenon_H11d zenon_H144 zenon_H4a zenon_H204 zenon_H152 zenon_H114 zenon_H1ef zenon_H1f zenon_H1f0 zenon_H177 zenon_H200 zenon_H1f8 zenon_H1fb zenon_Hfd zenon_H173 zenon_H18d zenon_H1b7 zenon_H58 zenon_H198 zenon_H159 zenon_H1b1 zenon_H16b zenon_H14d zenon_H157 zenon_H64 zenon_H187 zenon_H42 zenon_H181 zenon_H1af zenon_H1b4 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H150 zenon_H12f zenon_H155 zenon_H145 zenon_H158 zenon_H108 zenon_H1cb zenon_H103 zenon_H17c zenon_H156 zenon_H16e zenon_H1ea zenon_H165 zenon_H17a zenon_H205 zenon_H216 zenon_H223 zenon_H184 zenon_H11b zenon_H174 zenon_H25 zenon_Hdd zenon_H28 zenon_H53 zenon_Hae zenon_H90 zenon_H7d zenon_H7a zenon_H86 zenon_H8d zenon_H8c zenon_H91 zenon_H5e zenon_H4c zenon_Hb1 zenon_Hab zenon_H35 zenon_H68 zenon_H95 zenon_H97 zenon_Hb0 zenon_H3b zenon_H6f zenon_Haf zenon_Hde zenon_Hd3 zenon_Hc5 zenon_Hc7 zenon_Hc6 zenon_Hce zenon_Hd2 zenon_Hc1 zenon_Hbb zenon_Hc0 zenon_Hda zenon_H44 zenon_H27 zenon_Hc8 zenon_Hf8 zenon_Hec zenon_He8 zenon_He7 zenon_Hf5 zenon_He3 zenon_H18e.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.13/10.30 apply (zenon_L592_); trivial.
% 10.13/10.30 apply (zenon_L642_); trivial.
% 10.13/10.30 apply (zenon_L77_); trivial.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 10.13/10.30 exact (zenon_H25 zenon_H2a).
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 10.13/10.30 apply (zenon_L643_); trivial.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 10.13/10.30 apply (zenon_L98_); trivial.
% 10.13/10.30 apply (zenon_L644_); trivial.
% 10.13/10.30 apply (zenon_L161_); trivial.
% 10.13/10.30 apply (zenon_L60_); trivial.
% 10.13/10.30 (* end of lemma zenon_L645_ *)
% 10.13/10.30 assert (zenon_L646_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (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 (e1) (e1)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (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))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (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)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (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) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (~((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)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (((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 (e0) (e2)) = (e2)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (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 (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((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 (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((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)) = (op (e2) (e3)))) -> (((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) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((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 (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> False).
% 10.13/10.30 do 0 intro. intros zenon_H18e zenon_Hf8 zenon_He7 zenon_Hbb zenon_He8 zenon_Hec zenon_He3 zenon_H173 zenon_H16e zenon_H64 zenon_Hf5 zenon_H169 zenon_H1f zenon_H16b zenon_H16f zenon_H118 zenon_H110 zenon_Hd3 zenon_Hfd zenon_H174 zenon_H156 zenon_H155 zenon_H157 zenon_H150 zenon_H12f zenon_H144 zenon_H10b zenon_H3c zenon_Hc5 zenon_H132 zenon_H86 zenon_H145 zenon_H14d zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H165 zenon_H108 zenon_H159 zenon_H103 zenon_H168 zenon_H177 zenon_Hc1 zenon_H12c zenon_H11b zenon_H128 zenon_H1d zenon_H11d zenon_H8d zenon_H7a zenon_H7d zenon_H8c zenon_Hc8 zenon_H114 zenon_Hc0 zenon_H27 zenon_H44 zenon_H112 zenon_Hb8 zenon_Hda zenon_Haf zenon_H6f zenon_H3b zenon_Hb0 zenon_H97 zenon_H4c zenon_H95 zenon_H68 zenon_H35 zenon_H5e zenon_Hab zenon_Hb1 zenon_Hae zenon_H53 zenon_H28 zenon_Hdd zenon_H25 zenon_H184 zenon_H223 zenon_H216 zenon_H205 zenon_H17a zenon_H1ea zenon_H90 zenon_H17c zenon_H1cb zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H1b4 zenon_Hce zenon_H1af zenon_Hd2 zenon_H181 zenon_H42 zenon_H187 zenon_H1b1 zenon_H198 zenon_H58 zenon_H1b7 zenon_H18d zenon_H1fb zenon_H1f8 zenon_H200 zenon_H1f0 zenon_H1ef zenon_H204 zenon_H4a zenon_Hc6 zenon_H67 zenon_Hde zenon_H1e6 zenon_H18a zenon_H1e2 zenon_H1de zenon_H1dd zenon_H195 zenon_H221 zenon_H191 zenon_H24.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.13/10.30 apply (zenon_L596_); trivial.
% 10.13/10.30 apply (zenon_L642_); trivial.
% 10.13/10.30 apply (zenon_L183_); trivial.
% 10.13/10.30 (* end of lemma zenon_L646_ *)
% 10.13/10.30 assert (zenon_L647_ : ((~((op (e1) (e1)) = (e0)))\/(~((op (e1) (e0)) = (e1)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e0)))\/(~((op (e3) (e0)) = (e3)))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (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 (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (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 (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e0)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e1)) = (op (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))))) -> (~((e0) = (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 (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 (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (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) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (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 (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 (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 (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 (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((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 (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 (e0) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((op (e0) (e2)) = (e2)) -> (~((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))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (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 (e0) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (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 (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((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 (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e2) (e2)) = (e0)))\/(~((op (e2) (e0)) = (e2)))) -> False).
% 10.13/10.30 do 0 intro. intros zenon_H224 zenon_H212 zenon_H216 zenon_H225 zenon_H25 zenon_H1af zenon_H173 zenon_H16e zenon_H169 zenon_H16b zenon_H16f zenon_H174 zenon_H156 zenon_H155 zenon_H157 zenon_H150 zenon_H12f zenon_H144 zenon_H10b zenon_H3c zenon_H145 zenon_H14d zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H165 zenon_H159 zenon_H168 zenon_H177 zenon_H118 zenon_H114 zenon_H112 zenon_H110 zenon_H17a zenon_H18d zenon_Hdd zenon_H53 zenon_Hae zenon_H90 zenon_H7d zenon_H7a zenon_H86 zenon_H8c zenon_H4c zenon_Hab zenon_H95 zenon_H97 zenon_Hb0 zenon_H6f zenon_Hde zenon_Hd3 zenon_Hc5 zenon_Hc6 zenon_Hce zenon_Hd2 zenon_Hbb zenon_Hc0 zenon_Hda zenon_H44 zenon_Hf8 zenon_Hec zenon_He7 zenon_Hf5 zenon_He3 zenon_H18e zenon_H108 zenon_H103 zenon_Hfd zenon_H42 zenon_H181 zenon_H17c zenon_H184 zenon_H187 zenon_H18a zenon_H11d zenon_H128 zenon_H11b zenon_H12c zenon_H1ea zenon_H67 zenon_H24 zenon_H3b zenon_H132 zenon_H64 zenon_H5e zenon_H35 zenon_H1f zenon_H4a zenon_H191 zenon_H205 zenon_H1cb zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H1b4 zenon_H1b1 zenon_H198 zenon_H58 zenon_H1b7 zenon_H1fb zenon_H1f8 zenon_H200 zenon_H1f0 zenon_H1ef zenon_H204 zenon_H1e6 zenon_H1e2 zenon_H1de zenon_H1dd zenon_H195 zenon_H226.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_He8 | zenon_intro zenon_H223 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H221 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H8d | zenon_intro zenon_H220 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.13/10.30 exact (zenon_H25 zenon_H2a).
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.13/10.30 apply (zenon_L591_); trivial.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.13/10.30 apply (zenon_L595_); trivial.
% 10.13/10.30 apply (zenon_L176_); trivial.
% 10.13/10.30 apply (zenon_L5_); trivial.
% 10.13/10.30 apply (zenon_L598_); trivial.
% 10.13/10.30 apply (zenon_L88_); trivial.
% 10.13/10.30 apply (zenon_L149_); trivial.
% 10.13/10.30 apply (zenon_L85_); trivial.
% 10.13/10.30 apply (zenon_L69_); trivial.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.13/10.30 apply (zenon_L5_); trivial.
% 10.13/10.30 apply (zenon_L604_); trivial.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.13/10.30 exact (zenon_H25 zenon_H2a).
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.13/10.30 apply (zenon_L591_); trivial.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.13/10.30 apply (zenon_L595_); trivial.
% 10.13/10.30 exact (zenon_H220 zenon_Hbc).
% 10.13/10.30 apply (zenon_L176_); trivial.
% 10.13/10.30 apply (zenon_L5_); trivial.
% 10.13/10.30 apply (zenon_L605_); trivial.
% 10.13/10.30 apply (zenon_L88_); trivial.
% 10.13/10.30 apply (zenon_L149_); trivial.
% 10.13/10.30 apply (zenon_L85_); trivial.
% 10.13/10.30 apply (zenon_L69_); trivial.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.13/10.30 apply (zenon_L5_); trivial.
% 10.13/10.30 apply (zenon_L604_); trivial.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H8d | zenon_intro zenon_H220 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.13/10.30 exact (zenon_H25 zenon_H2a).
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.13/10.30 apply (zenon_L591_); trivial.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.13/10.30 apply (zenon_L608_); trivial.
% 10.13/10.30 apply (zenon_L176_); trivial.
% 10.13/10.30 apply (zenon_L5_); trivial.
% 10.13/10.30 apply (zenon_L598_); trivial.
% 10.13/10.30 exact (zenon_H221 zenon_Hcf).
% 10.13/10.30 apply (zenon_L88_); trivial.
% 10.13/10.30 apply (zenon_L149_); trivial.
% 10.13/10.30 apply (zenon_L85_); trivial.
% 10.13/10.30 apply (zenon_L69_); trivial.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.13/10.30 apply (zenon_L5_); trivial.
% 10.13/10.30 apply (zenon_L607_); trivial.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.13/10.30 exact (zenon_H25 zenon_H2a).
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.13/10.30 apply (zenon_L591_); trivial.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.13/10.30 apply (zenon_L608_); trivial.
% 10.13/10.30 exact (zenon_H220 zenon_Hbc).
% 10.13/10.30 apply (zenon_L176_); trivial.
% 10.13/10.30 apply (zenon_L5_); trivial.
% 10.13/10.30 apply (zenon_L605_); trivial.
% 10.13/10.30 exact (zenon_H221 zenon_Hcf).
% 10.13/10.30 apply (zenon_L88_); trivial.
% 10.13/10.30 apply (zenon_L149_); trivial.
% 10.13/10.30 apply (zenon_L85_); trivial.
% 10.13/10.30 apply (zenon_L69_); trivial.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.13/10.30 apply (zenon_L5_); trivial.
% 10.13/10.30 apply (zenon_L607_); trivial.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H221 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H8d | zenon_intro zenon_H220 ].
% 10.13/10.30 apply (zenon_L635_); trivial.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.13/10.30 exact (zenon_H25 zenon_H2a).
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.13/10.30 apply (zenon_L591_); trivial.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.13/10.30 apply (zenon_L633_); trivial.
% 10.13/10.30 exact (zenon_H220 zenon_Hbc).
% 10.13/10.30 apply (zenon_L176_); trivial.
% 10.13/10.30 apply (zenon_L5_); trivial.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.13/10.30 apply (zenon_L634_); trivial.
% 10.13/10.30 exact (zenon_H220 zenon_Hbc).
% 10.13/10.30 apply (zenon_L164_); trivial.
% 10.13/10.30 apply (zenon_L88_); trivial.
% 10.13/10.30 apply (zenon_L149_); trivial.
% 10.13/10.30 exact (zenon_H223 zenon_H15a).
% 10.13/10.30 apply (zenon_L85_); trivial.
% 10.13/10.30 apply (zenon_L69_); trivial.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.13/10.30 apply (zenon_L5_); trivial.
% 10.13/10.30 apply (zenon_L632_); trivial.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H8d | zenon_intro zenon_H220 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.13/10.30 exact (zenon_H25 zenon_H2a).
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.13/10.30 apply (zenon_L591_); trivial.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.13/10.30 apply (zenon_L645_); trivial.
% 10.13/10.30 apply (zenon_L176_); trivial.
% 10.13/10.30 apply (zenon_L5_); trivial.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.13/10.30 apply (zenon_L646_); trivial.
% 10.13/10.30 apply (zenon_L164_); trivial.
% 10.13/10.30 exact (zenon_H221 zenon_Hcf).
% 10.13/10.30 apply (zenon_L88_); trivial.
% 10.13/10.30 apply (zenon_L149_); trivial.
% 10.13/10.30 exact (zenon_H223 zenon_H15a).
% 10.13/10.30 apply (zenon_L85_); trivial.
% 10.13/10.30 apply (zenon_L69_); trivial.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.13/10.30 apply (zenon_L5_); trivial.
% 10.13/10.30 apply (zenon_L642_); trivial.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.13/10.30 exact (zenon_H25 zenon_H2a).
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.13/10.30 apply (zenon_L591_); trivial.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.13/10.30 apply (zenon_L645_); trivial.
% 10.13/10.30 exact (zenon_H220 zenon_Hbc).
% 10.13/10.30 apply (zenon_L176_); trivial.
% 10.13/10.30 apply (zenon_L5_); trivial.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.13/10.30 apply (zenon_L646_); trivial.
% 10.13/10.30 exact (zenon_H220 zenon_Hbc).
% 10.13/10.30 apply (zenon_L164_); trivial.
% 10.13/10.30 exact (zenon_H221 zenon_Hcf).
% 10.13/10.30 apply (zenon_L88_); trivial.
% 10.13/10.30 apply (zenon_L149_); trivial.
% 10.13/10.30 exact (zenon_H223 zenon_H15a).
% 10.13/10.30 apply (zenon_L85_); trivial.
% 10.13/10.30 apply (zenon_L69_); trivial.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.13/10.30 apply (zenon_L5_); trivial.
% 10.13/10.30 apply (zenon_L642_); trivial.
% 10.13/10.30 (* end of lemma zenon_L647_ *)
% 10.13/10.30 assert (zenon_L648_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e2)) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((e0) = (e3))) -> False).
% 10.13/10.30 do 0 intro. intros zenon_He7 zenon_He8 zenon_H44 zenon_Hc0 zenon_H34 zenon_H95 zenon_Hb8 zenon_H53.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H68 | zenon_intro zenon_He9 ].
% 10.13/10.30 apply (zenon_L16_); trivial.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Heb | zenon_intro zenon_Hea ].
% 10.13/10.30 exact (zenon_He8 zenon_Heb).
% 10.13/10.30 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H78 | zenon_intro zenon_He5 ].
% 10.13/10.30 apply (zenon_L57_); trivial.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H4b | zenon_intro zenon_Hc2 ].
% 10.13/10.30 apply (zenon_L184_); trivial.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc3 ].
% 10.13/10.30 apply (zenon_L199_); trivial.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hbd ].
% 10.13/10.30 apply (zenon_L40_); trivial.
% 10.13/10.30 apply (zenon_L112_); trivial.
% 10.13/10.30 (* end of lemma zenon_L648_ *)
% 10.13/10.30 assert (zenon_L649_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e2) (e1)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((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))))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e3)) = (e3)) -> (~((e2) = (e3))) -> False).
% 10.13/10.30 do 0 intro. intros zenon_H42 zenon_H27 zenon_Hc0 zenon_He8 zenon_He7 zenon_H220 zenon_Hae zenon_H69 zenon_Haf zenon_H6f zenon_Hb0 zenon_Hb8 zenon_H44 zenon_Hb1 zenon_Hab zenon_H4c zenon_H68 zenon_H53 zenon_H28 zenon_H97 zenon_H35 zenon_H5e zenon_Hda zenon_H57 zenon_H95.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 10.13/10.30 exact (zenon_H27 zenon_H32).
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 10.13/10.30 apply (zenon_L648_); trivial.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdb ].
% 10.13/10.30 exact (zenon_H28 zenon_H31).
% 10.13/10.30 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H6c | zenon_intro zenon_Hdc ].
% 10.13/10.30 apply (zenon_L18_); trivial.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H74 | zenon_intro zenon_Hbc ].
% 10.13/10.30 apply (zenon_L179_); trivial.
% 10.13/10.30 exact (zenon_H220 zenon_Hbc).
% 10.13/10.30 apply (zenon_L54_); trivial.
% 10.13/10.30 (* end of lemma zenon_L649_ *)
% 10.13/10.30 assert (zenon_L650_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> ((op (e0) (e3)) = (e3)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (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 (e1) (e1)) = (e2))) -> (((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) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (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 (e3) (e3)) = (e2))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e3) (e1)) = (e3)) -> (((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 (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((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))))) -> (~((e1) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (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 (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (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 (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((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 (e1) (e1)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.13/10.30 do 0 intro. intros zenon_H18e zenon_H25 zenon_H57 zenon_H97 zenon_Hb1 zenon_Hb0 zenon_H6f zenon_Haf zenon_Hae zenon_H220 zenon_H27 zenon_H42 zenon_H8d zenon_Hab zenon_H1d zenon_H11d zenon_H128 zenon_H7f zenon_H11b zenon_H68 zenon_H8c zenon_Hbd zenon_H12c zenon_H177 zenon_H168 zenon_H103 zenon_H35 zenon_H159 zenon_H108 zenon_H165 zenon_H4c zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H14d zenon_H145 zenon_H86 zenon_H132 zenon_Hc5 zenon_Hc8 zenon_H3c zenon_H10b zenon_H144 zenon_H12f zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H174 zenon_Hfd zenon_H28 zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hda zenon_H16b zenon_H1f zenon_H5e zenon_H169 zenon_H7a zenon_Hf5 zenon_H64 zenon_H16e zenon_H173 zenon_H7d zenon_H80 zenon_He3 zenon_Hc0 zenon_Hec zenon_H95 zenon_Hc1 zenon_H53 zenon_He8 zenon_H44 zenon_Hb8 zenon_Hbb zenon_He7 zenon_Hf8.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 10.13/10.30 exact (zenon_H25 zenon_H2a).
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 10.13/10.30 apply (zenon_L649_); trivial.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 10.13/10.30 apply (zenon_L98_); trivial.
% 10.13/10.30 apply (zenon_L187_); trivial.
% 10.13/10.30 (* end of lemma zenon_L650_ *)
% 10.13/10.30 assert (zenon_L651_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (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)))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e3))) -> (~((op (e1) (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)) = (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)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (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))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e0) = (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)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (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)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((e1) = (e3))) -> (((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 (e1) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((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) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e3) (e3)) = (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 (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 10.13/10.30 do 0 intro. intros zenon_Hde zenon_Hf8 zenon_He7 zenon_Hbb zenon_H44 zenon_He8 zenon_H53 zenon_Hc1 zenon_Hec zenon_Hc0 zenon_He3 zenon_H80 zenon_H7d zenon_H173 zenon_H16e zenon_H64 zenon_Hf5 zenon_H7a zenon_H169 zenon_H5e zenon_H1f zenon_H16b zenon_Hda zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_H28 zenon_Hfd zenon_H174 zenon_H156 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_H12f zenon_H144 zenon_H10b zenon_H3c zenon_Hc8 zenon_Hc5 zenon_H132 zenon_H86 zenon_H145 zenon_H14d zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H4c zenon_H165 zenon_H108 zenon_H159 zenon_H35 zenon_H103 zenon_H168 zenon_H177 zenon_H12c zenon_H8c zenon_H68 zenon_H11b zenon_H7f zenon_H128 zenon_H11d zenon_H1d zenon_Hab zenon_H8d zenon_H42 zenon_H27 zenon_H220 zenon_Hae zenon_Haf zenon_H6f zenon_Hb0 zenon_Hb1 zenon_H97 zenon_H57 zenon_H25 zenon_H18e zenon_H95 zenon_Hbd.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H34 | zenon_intro zenon_He1 ].
% 10.13/10.30 apply (zenon_L16_); trivial.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_Hb4 | zenon_intro zenon_He2 ].
% 10.13/10.30 exact (zenon_Haf zenon_Hb4).
% 10.13/10.30 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ].
% 10.13/10.30 apply (zenon_L650_); trivial.
% 10.13/10.30 apply (zenon_L50_); trivial.
% 10.13/10.30 (* end of lemma zenon_L651_ *)
% 10.13/10.30 assert (zenon_L652_ : (((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 (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((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)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e0)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (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 (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (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)) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (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 (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 (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((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) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((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 (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((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)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((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))))) -> False).
% 10.13/10.30 do 0 intro. intros zenon_H18a zenon_H187 zenon_H184 zenon_Hd2 zenon_H17c zenon_H181 zenon_H17a zenon_H173 zenon_H16e zenon_H64 zenon_H169 zenon_H1f zenon_H16b zenon_H16f zenon_H118 zenon_H110 zenon_Hd3 zenon_H174 zenon_H156 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_H12f zenon_H144 zenon_H3c zenon_H132 zenon_H145 zenon_H14d zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H165 zenon_H159 zenon_H168 zenon_H177 zenon_H114 zenon_H11d zenon_H1d zenon_H128 zenon_H11b zenon_H12c zenon_H18d zenon_H25 zenon_H42 zenon_H57 zenon_H28 zenon_H53 zenon_Hae zenon_H90 zenon_H7d zenon_H7a zenon_H86 zenon_H8c zenon_H91 zenon_H5e zenon_H4c zenon_Hb1 zenon_Hab zenon_H35 zenon_H95 zenon_H97 zenon_Hb0 zenon_H6f zenon_Haf zenon_H220 zenon_Hda zenon_H68 zenon_H44 zenon_H27 zenon_Hc5 zenon_Hc7 zenon_Hc6 zenon_Hf8 zenon_Hc0 zenon_Hec zenon_Hc1 zenon_He8 zenon_Hbb zenon_He7 zenon_Hf5 zenon_Hde zenon_He3 zenon_H18e zenon_H10b zenon_Hfd zenon_H103 zenon_H108.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 10.13/10.30 exact (zenon_H25 zenon_H2a).
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 10.13/10.30 exact (zenon_H27 zenon_H32).
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 10.13/10.30 apply (zenon_L16_); trivial.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdb ].
% 10.13/10.30 exact (zenon_H28 zenon_H31).
% 10.13/10.30 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H6c | zenon_intro zenon_Hdc ].
% 10.13/10.30 apply (zenon_L18_); trivial.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H74 | zenon_intro zenon_Hbc ].
% 10.13/10.30 apply (zenon_L39_); trivial.
% 10.13/10.30 exact (zenon_H220 zenon_Hbc).
% 10.13/10.30 apply (zenon_L54_); trivial.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 10.13/10.30 apply (zenon_L43_); trivial.
% 10.13/10.30 apply (zenon_L67_); trivial.
% 10.13/10.30 apply (zenon_L68_); trivial.
% 10.13/10.30 apply (zenon_L77_); trivial.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.13/10.30 apply (zenon_L651_); trivial.
% 10.13/10.30 apply (zenon_L161_); trivial.
% 10.13/10.30 apply (zenon_L60_); trivial.
% 10.13/10.30 exact (zenon_H220 zenon_Hbc).
% 10.13/10.30 apply (zenon_L176_); trivial.
% 10.13/10.30 (* end of lemma zenon_L652_ *)
% 10.13/10.30 assert (zenon_L653_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((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)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((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)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (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)) -> (~((op (e0) (e0)) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e2) (e1)) = (e2)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((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) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (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 (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.13/10.30 do 0 intro. intros zenon_Hd2 zenon_H184 zenon_H177 zenon_H168 zenon_H103 zenon_H159 zenon_H108 zenon_H165 zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H14d zenon_H145 zenon_H86 zenon_H132 zenon_Hc5 zenon_H3c zenon_H10b zenon_H144 zenon_H12f zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H174 zenon_Hfd zenon_Hd3 zenon_H110 zenon_H118 zenon_H16f zenon_H16b zenon_H1f zenon_H169 zenon_Hf5 zenon_H64 zenon_H16e zenon_H173 zenon_Hbb zenon_H18d zenon_H17a zenon_H25 zenon_H42 zenon_H57 zenon_H28 zenon_Hae zenon_Hb1 zenon_Hab zenon_H5e zenon_H35 zenon_H68 zenon_H4c zenon_H97 zenon_Hb0 zenon_H6f zenon_Haf zenon_H220 zenon_Hda zenon_H44 zenon_He8 zenon_Hb8 zenon_Hc0 zenon_H53 zenon_H95 zenon_He7 zenon_H27 zenon_H114 zenon_H8c zenon_H7d zenon_H7a zenon_H11d zenon_H1d zenon_H128 zenon_H11b zenon_H12c zenon_Hc1 zenon_He3 zenon_H18e zenon_Hec zenon_Hf8.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 10.13/10.30 exact (zenon_H25 zenon_H2a).
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 10.13/10.30 apply (zenon_L649_); trivial.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 10.13/10.30 apply (zenon_L182_); trivial.
% 10.13/10.30 apply (zenon_L56_); trivial.
% 10.13/10.30 apply (zenon_L173_); trivial.
% 10.13/10.30 apply (zenon_L183_); trivial.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.13/10.30 apply (zenon_L650_); trivial.
% 10.13/10.30 apply (zenon_L173_); trivial.
% 10.13/10.30 apply (zenon_L60_); trivial.
% 10.13/10.30 exact (zenon_H220 zenon_Hbc).
% 10.13/10.30 apply (zenon_L164_); trivial.
% 10.13/10.30 (* end of lemma zenon_L653_ *)
% 10.13/10.30 assert (zenon_L654_ : (((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 (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((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)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e0)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (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 (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (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)) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (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 (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 (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (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 (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((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 (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((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)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((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))))) -> False).
% 10.13/10.30 do 0 intro. intros zenon_H18a zenon_H187 zenon_H184 zenon_Hd2 zenon_H17c zenon_H181 zenon_H17a zenon_H173 zenon_H16e zenon_H64 zenon_H169 zenon_H1f zenon_H16b zenon_H16f zenon_H118 zenon_H110 zenon_Hd3 zenon_H174 zenon_H156 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_H12f zenon_H144 zenon_H3c zenon_H132 zenon_H145 zenon_H14d zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H165 zenon_H159 zenon_H168 zenon_H177 zenon_H114 zenon_H11d zenon_H1d zenon_H128 zenon_H11b zenon_H12c zenon_H18d zenon_H25 zenon_H42 zenon_H57 zenon_H28 zenon_H53 zenon_Hae zenon_H90 zenon_H7d zenon_H7a zenon_H86 zenon_H8c zenon_H5e zenon_H4c zenon_Hb1 zenon_Hab zenon_H35 zenon_H95 zenon_H97 zenon_Hb0 zenon_H6f zenon_Haf zenon_H220 zenon_Hda zenon_H68 zenon_H44 zenon_H27 zenon_Hc5 zenon_Hc6 zenon_Hf8 zenon_Hc0 zenon_Hec zenon_Hc1 zenon_He8 zenon_Hbb zenon_He7 zenon_Hf5 zenon_Hde zenon_He3 zenon_H18e zenon_H10b zenon_Hfd zenon_H103 zenon_H108.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.13/10.30 apply (zenon_L652_); trivial.
% 10.13/10.30 apply (zenon_L178_); trivial.
% 10.13/10.30 apply (zenon_L653_); trivial.
% 10.13/10.30 (* end of lemma zenon_L654_ *)
% 10.13/10.30 assert (zenon_L655_ : ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((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 (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((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)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e0)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (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 (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (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)) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (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 (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 (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (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 (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((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 (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((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)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((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 (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> False).
% 10.13/10.30 do 0 intro. intros zenon_H1ea zenon_H18a zenon_H187 zenon_H184 zenon_Hd2 zenon_H17c zenon_H181 zenon_H17a zenon_H173 zenon_H16e zenon_H64 zenon_H169 zenon_H1f zenon_H16b zenon_H16f zenon_H118 zenon_H110 zenon_Hd3 zenon_H174 zenon_H156 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_H12f zenon_H144 zenon_H3c zenon_H132 zenon_H145 zenon_H14d zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H165 zenon_H159 zenon_H168 zenon_H177 zenon_H114 zenon_H11d zenon_H1d zenon_H128 zenon_H11b zenon_H12c zenon_H18d zenon_H25 zenon_H42 zenon_H57 zenon_H28 zenon_H53 zenon_Hae zenon_H90 zenon_H7d zenon_H7a zenon_H86 zenon_H8c zenon_H5e zenon_H4c zenon_Hb1 zenon_Hab zenon_H35 zenon_H95 zenon_H97 zenon_Hb0 zenon_H6f zenon_H220 zenon_Hda zenon_H68 zenon_H44 zenon_H27 zenon_Hc5 zenon_Hc6 zenon_Hf8 zenon_Hc0 zenon_Hec zenon_He8 zenon_Hbb zenon_He7 zenon_Hf5 zenon_Hde zenon_He3 zenon_H18e zenon_H10b zenon_Hfd zenon_H103 zenon_H108 zenon_H1af.
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.13/10.30 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.30 apply (zenon_L654_); trivial.
% 10.13/10.30 apply (zenon_L88_); trivial.
% 10.13/10.30 apply (zenon_L149_); trivial.
% 10.13/10.30 (* end of lemma zenon_L655_ *)
% 10.13/10.30 assert (zenon_L656_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((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))) -> False).
% 10.13/10.31 do 0 intro. intros zenon_Hda zenon_H28 zenon_H6f zenon_He8 zenon_H53 zenon_H145 zenon_H5e zenon_H91 zenon_H1e zenon_Hd3 zenon_H4c zenon_H90 zenon_Hb1 zenon_H17c zenon_H9a zenon_H64 zenon_H56 zenon_H51 zenon_H187 zenon_Hb0 zenon_H220.
% 10.13/10.31 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdb ].
% 10.13/10.31 exact (zenon_H28 zenon_H31).
% 10.13/10.31 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H6c | zenon_intro zenon_Hdc ].
% 10.13/10.31 apply (zenon_L496_); trivial.
% 10.13/10.31 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H74 | zenon_intro zenon_Hbc ].
% 10.13/10.31 apply (zenon_L484_); trivial.
% 10.13/10.31 exact (zenon_H220 zenon_Hbc).
% 10.13/10.31 (* end of lemma zenon_L656_ *)
% 10.13/10.31 assert (zenon_L657_ : ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (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 (e1) (e3)))) -> (~((op (e0) (e1)) = (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) = (e3))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> False).
% 10.13/10.31 do 0 intro. intros zenon_H157 zenon_H3a zenon_H216 zenon_H56 zenon_Hda zenon_H220 zenon_H64 zenon_H187 zenon_Hd3 zenon_H17c zenon_H90 zenon_H4c zenon_Hb1 zenon_Hb0 zenon_H53 zenon_He8 zenon_H6f zenon_H51 zenon_H5e zenon_H9a zenon_H145 zenon_H28.
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.13/10.31 exact (zenon_H56 zenon_H2c).
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.13/10.31 apply (zenon_L656_); trivial.
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.13/10.31 apply (zenon_L12_); trivial.
% 10.13/10.31 apply (zenon_L202_); trivial.
% 10.13/10.31 apply (zenon_L500_); trivial.
% 10.13/10.31 (* end of lemma zenon_L657_ *)
% 10.13/10.31 assert (zenon_L658_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e2)) = (e2)) -> (~((e0) = (e2))) -> ((op (e0) (e3)) = (e3)) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e1))) -> (((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)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e3) (e0)) = (e3))) -> False).
% 10.13/10.31 do 0 intro. intros zenon_Hda zenon_H28 zenon_H1fb zenon_H3a zenon_H44 zenon_H57 zenon_H95 zenon_H128 zenon_H91 zenon_H1e zenon_Hd3 zenon_H5e zenon_H90 zenon_H6f zenon_H51 zenon_He8 zenon_H145 zenon_H53 zenon_H73 zenon_H220.
% 10.13/10.31 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdb ].
% 10.13/10.31 exact (zenon_H28 zenon_H31).
% 10.13/10.31 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H6c | zenon_intro zenon_Hdc ].
% 10.13/10.31 apply (zenon_L505_); trivial.
% 10.13/10.31 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H74 | zenon_intro zenon_Hbc ].
% 10.13/10.31 apply (zenon_L20_); trivial.
% 10.13/10.31 exact (zenon_H220 zenon_Hbc).
% 10.13/10.31 (* end of lemma zenon_L658_ *)
% 10.13/10.31 assert (zenon_L659_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e3) (e0)) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e0) (e2)) = (e0)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (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) (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) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 10.13/10.31 do 0 intro. intros zenon_H64 zenon_H56 zenon_H220 zenon_H73 zenon_H53 zenon_H145 zenon_He8 zenon_H51 zenon_H90 zenon_H5e zenon_Hd3 zenon_H91 zenon_H128 zenon_H95 zenon_H57 zenon_H44 zenon_H3a zenon_H1fb zenon_H28 zenon_Hda zenon_H6f zenon_H100 zenon_H7d zenon_H8d zenon_H7a zenon_H7f zenon_H80.
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.13/10.31 exact (zenon_H56 zenon_H2c).
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.13/10.31 apply (zenon_L658_); trivial.
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.13/10.31 apply (zenon_L228_); trivial.
% 10.13/10.31 apply (zenon_L87_); trivial.
% 10.13/10.31 (* end of lemma zenon_L659_ *)
% 10.13/10.31 assert (zenon_L660_ : (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (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) (e3)))) -> (~((op (e3) (e0)) = (e3))) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((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))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e1)) = (e0))) -> (((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 (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (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 (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((~((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 (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> False).
% 10.13/10.31 do 0 intro. intros zenon_Hbb zenon_H1dd zenon_Hc8 zenon_H18e zenon_He3 zenon_H220 zenon_H57 zenon_H44 zenon_H145 zenon_H7d zenon_H7a zenon_H8d zenon_Hf8 zenon_H56 zenon_H1b4 zenon_H35 zenon_H212 zenon_Hc1 zenon_H200 zenon_H1cb zenon_H108 zenon_H97 zenon_H187 zenon_Hb0 zenon_Hd3 zenon_H91 zenon_H5e zenon_H90 zenon_Hb1 zenon_He8 zenon_H64 zenon_H12c zenon_H17c zenon_H181 zenon_H155 zenon_H1f8 zenon_H128 zenon_H1fb zenon_H95 zenon_Hfd zenon_H6f zenon_H3c zenon_H3a zenon_H144 zenon_H1de zenon_Hec zenon_H51 zenon_H10b zenon_H158 zenon_H152 zenon_Hc5 zenon_H177 zenon_H28 zenon_H53 zenon_H4c zenon_Hf5 zenon_H7e zenon_H100 zenon_H1e6 zenon_H1f0 zenon_Hda zenon_H1af zenon_H198 zenon_H195 zenon_H192 zenon_H191 zenon_H159 zenon_H1ea zenon_He7 zenon_Hd2 zenon_H25 zenon_H18d.
% 10.13/10.31 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 10.13/10.31 exact (zenon_H25 zenon_H2a).
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 10.13/10.31 apply (zenon_L479_); trivial.
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 10.13/10.31 apply (zenon_L659_); trivial.
% 10.13/10.31 apply (zenon_L56_); trivial.
% 10.13/10.31 apply (zenon_L68_); trivial.
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 10.13/10.31 exact (zenon_H25 zenon_H2a).
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 10.13/10.31 apply (zenon_L472_); trivial.
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.13/10.31 exact (zenon_H56 zenon_H2c).
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.13/10.31 apply (zenon_L658_); trivial.
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.13/10.31 apply (zenon_L349_); trivial.
% 10.13/10.31 apply (zenon_L13_); trivial.
% 10.13/10.31 apply (zenon_L512_); trivial.
% 10.13/10.31 apply (zenon_L68_); trivial.
% 10.13/10.31 (* end of lemma zenon_L660_ *)
% 10.13/10.31 assert (zenon_L661_ : (((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).
% 10.13/10.31 do 0 intro. intros zenon_Hda zenon_H28 zenon_H53 zenon_H69 zenon_H4c zenon_H76 zenon_H220.
% 10.13/10.31 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdb ].
% 10.13/10.31 exact (zenon_H28 zenon_H31).
% 10.13/10.31 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H6c | zenon_intro zenon_Hdc ].
% 10.13/10.31 apply (zenon_L18_); trivial.
% 10.13/10.31 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H74 | zenon_intro zenon_Hbc ].
% 10.13/10.31 apply (zenon_L21_); trivial.
% 10.13/10.31 exact (zenon_H220 zenon_Hbc).
% 10.13/10.31 (* end of lemma zenon_L661_ *)
% 10.13/10.31 assert (zenon_L662_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((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 (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((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 (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (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 (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e0) = (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) (e3)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (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 (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (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) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.13/10.31 do 0 intro. intros zenon_H177 zenon_H168 zenon_H103 zenon_H35 zenon_H159 zenon_H165 zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H53 zenon_H14d zenon_H145 zenon_H86 zenon_H132 zenon_Hc5 zenon_Hc8 zenon_H3c zenon_H144 zenon_H12f zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H174 zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hda zenon_H16b zenon_H1f zenon_H169 zenon_H7a zenon_H16e zenon_H173 zenon_H95 zenon_H44 zenon_Hec zenon_H7d zenon_H80 zenon_He4 zenon_He3 zenon_H64 zenon_H28 zenon_He7 zenon_Hbb zenon_H192 zenon_Hc1 zenon_H191 zenon_He8 zenon_Hfd zenon_Hb1 zenon_H1dd zenon_H108 zenon_H10b zenon_H4c zenon_H97 zenon_H51 zenon_H5e zenon_H1f0 zenon_H1e6 zenon_H100 zenon_Hf5 zenon_H56 zenon_Hf8.
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.13/10.31 apply (zenon_L512_); trivial.
% 10.13/10.31 apply (zenon_L160_); trivial.
% 10.13/10.31 (* end of lemma zenon_L662_ *)
% 10.13/10.31 assert (zenon_L663_ : (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (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 (e3) (e0)) = (e3))) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((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))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e1)) = (e0))) -> (((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 (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (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 (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((~((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 (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (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) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> False).
% 10.13/10.31 do 0 intro. intros zenon_H216 zenon_Hbb zenon_H1dd zenon_H18e zenon_He3 zenon_H220 zenon_H57 zenon_H44 zenon_H145 zenon_H7d zenon_H7a zenon_Hf8 zenon_H56 zenon_H1b4 zenon_H35 zenon_H212 zenon_Hc1 zenon_H200 zenon_H1cb zenon_H108 zenon_H97 zenon_H187 zenon_Hb0 zenon_Hd3 zenon_H5e zenon_H90 zenon_Hb1 zenon_He8 zenon_H64 zenon_H12c zenon_H17c zenon_H181 zenon_H155 zenon_H1f8 zenon_H128 zenon_H1fb zenon_H95 zenon_Hfd zenon_H6f zenon_H3c zenon_H3a zenon_H144 zenon_H1de zenon_Hec zenon_H51 zenon_H10b zenon_H158 zenon_H152 zenon_Hc5 zenon_H177 zenon_H28 zenon_H53 zenon_H4c zenon_Hf5 zenon_H100 zenon_H1e6 zenon_H1f0 zenon_Hda zenon_H1af zenon_H198 zenon_H195 zenon_H192 zenon_H191 zenon_H159 zenon_H1ea zenon_He7 zenon_Hd2 zenon_H25 zenon_H18d zenon_H173 zenon_H16e zenon_H169 zenon_H1f zenon_H16b zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_H174 zenon_H156 zenon_H112 zenon_H157 zenon_H150 zenon_H12f zenon_H132 zenon_H86 zenon_H14a zenon_H151 zenon_H165 zenon_H103 zenon_H168 zenon_H14d.
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.13/10.31 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.13/10.31 apply (zenon_L660_); trivial.
% 10.13/10.31 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 10.13/10.31 exact (zenon_H25 zenon_H2a).
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 10.13/10.31 exact (zenon_H56 zenon_H2c).
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 10.13/10.31 apply (zenon_L123_); trivial.
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 10.13/10.31 apply (zenon_L661_); trivial.
% 10.13/10.31 apply (zenon_L340_); trivial.
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 10.13/10.31 apply (zenon_L659_); trivial.
% 10.13/10.31 apply (zenon_L662_); trivial.
% 10.13/10.31 apply (zenon_L68_); trivial.
% 10.13/10.31 apply (zenon_L60_); trivial.
% 10.13/10.31 exact (zenon_H220 zenon_Hbc).
% 10.13/10.31 apply (zenon_L354_); trivial.
% 10.13/10.31 apply (zenon_L500_); trivial.
% 10.13/10.31 (* end of lemma zenon_L663_ *)
% 10.13/10.31 assert (zenon_L664_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e0))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> False).
% 10.13/10.31 do 0 intro. intros zenon_Hf8 zenon_Hec zenon_H56 zenon_H223 zenon_H12c zenon_H57 zenon_H181 zenon_Hc8 zenon_Hbd zenon_H114 zenon_H4c zenon_H14d zenon_H8d zenon_H35 zenon_H95 zenon_H44 zenon_H177 zenon_H53 zenon_H5e zenon_H1b4.
% 10.13/10.31 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 10.13/10.31 exact (zenon_H56 zenon_H2c).
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 10.13/10.31 exact (zenon_H223 zenon_H15a).
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 10.13/10.31 apply (zenon_L499_); trivial.
% 10.13/10.31 apply (zenon_L340_); trivial.
% 10.13/10.31 apply (zenon_L60_); trivial.
% 10.13/10.31 (* end of lemma zenon_L664_ *)
% 10.13/10.31 assert (zenon_L665_ : (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e1) (e0)) = (e1))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e0)) = (e0))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e2) (e2)) = (e2)) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e0)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (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 (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 (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 (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((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) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (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 (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((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)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((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)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (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 (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)) = (op (e2) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (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 (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (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) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e2)) = (e0))) -> False).
% 10.13/10.31 do 0 intro. intros zenon_H216 zenon_H151 zenon_H8d zenon_H223 zenon_H57 zenon_H25 zenon_H212 zenon_He8 zenon_H3a zenon_H51 zenon_H28 zenon_H191 zenon_H192 zenon_H195 zenon_He3 zenon_Hec zenon_H12c zenon_H1dd zenon_H1de zenon_H3c zenon_Hda zenon_H128 zenon_H8c zenon_Hb0 zenon_H97 zenon_H1e2 zenon_H18a zenon_H10b zenon_H1e6 zenon_H112 zenon_Hde zenon_Hab zenon_H16f zenon_H67 zenon_Hc6 zenon_H168 zenon_Hae zenon_H11d zenon_H144 zenon_H4a zenon_H204 zenon_H152 zenon_H114 zenon_H1ef zenon_H1f zenon_H1f0 zenon_Hf5 zenon_H177 zenon_H200 zenon_H1f8 zenon_H1fb zenon_Hfd zenon_H173 zenon_H18d zenon_H1b7 zenon_H7a zenon_H58 zenon_H56 zenon_H198 zenon_H6f zenon_H159 zenon_H35 zenon_H1b1 zenon_H16b zenon_H14d zenon_H157 zenon_H64 zenon_H187 zenon_H95 zenon_H4c zenon_H42 zenon_H181 zenon_H53 zenon_He7 zenon_Hc0 zenon_Hd3 zenon_Hd2 zenon_H1af zenon_Hdd zenon_Hce zenon_H1b4 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H150 zenon_H12f zenon_Hc5 zenon_H155 zenon_H5e zenon_H145 zenon_H158 zenon_Hf8 zenon_H108 zenon_H1cb zenon_H103 zenon_H132 zenon_H86 zenon_H7d zenon_H17c zenon_H90 zenon_H156 zenon_H16e zenon_H1ea zenon_H165 zenon_H17a zenon_Hbb zenon_H205 zenon_H18e zenon_H44 zenon_H9a zenon_Hb1.
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.13/10.31 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.13/10.31 apply (zenon_L498_); trivial.
% 10.13/10.31 apply (zenon_L664_); trivial.
% 10.13/10.31 apply (zenon_L354_); trivial.
% 10.13/10.31 apply (zenon_L500_); trivial.
% 10.13/10.31 (* end of lemma zenon_L665_ *)
% 10.13/10.31 assert (zenon_L666_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e0) (e2)) = (e0)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> ((op (e0) (e3)) = (e3)) -> (~((e1) = (e3))) -> False).
% 10.13/10.31 do 0 intro. intros zenon_H64 zenon_H73 zenon_H53 zenon_H145 zenon_He8 zenon_H51 zenon_H90 zenon_H5e zenon_Hd3 zenon_H91 zenon_H128 zenon_H95 zenon_H44 zenon_H3a zenon_H1fb zenon_H28 zenon_Hda zenon_H223 zenon_H56 zenon_H1b4 zenon_H6f zenon_H100 zenon_H57 zenon_H4c.
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.13/10.31 exact (zenon_H56 zenon_H2c).
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 10.13/10.31 exact (zenon_H56 zenon_H2c).
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 10.13/10.31 exact (zenon_H223 zenon_H15a).
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 10.13/10.31 apply (zenon_L165_); trivial.
% 10.13/10.31 apply (zenon_L506_); trivial.
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.13/10.31 apply (zenon_L228_); trivial.
% 10.13/10.31 apply (zenon_L13_); trivial.
% 10.13/10.31 (* end of lemma zenon_L666_ *)
% 10.13/10.31 assert (zenon_L667_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (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 (e1) (e1)) = (e2))) -> ((op (e2) (e1)) = (e0)) -> (~((e0) = (e2))) -> (((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) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 10.13/10.31 do 0 intro. intros zenon_Hde zenon_Hc1 zenon_H1f zenon_H192 zenon_He8 zenon_H191 zenon_Haf zenon_H78 zenon_H44 zenon_Hf5 zenon_H5e zenon_He4 zenon_H35 zenon_Hed zenon_H4c zenon_H7e.
% 10.13/10.31 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H34 | zenon_intro zenon_He1 ].
% 10.13/10.31 apply (zenon_L331_); trivial.
% 10.13/10.31 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_Hb4 | zenon_intro zenon_He2 ].
% 10.13/10.31 exact (zenon_Haf zenon_Hb4).
% 10.13/10.31 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ].
% 10.13/10.31 apply (zenon_L57_); trivial.
% 10.13/10.31 apply (zenon_L65_); trivial.
% 10.13/10.31 (* end of lemma zenon_L667_ *)
% 10.13/10.31 assert (zenon_L668_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (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 (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (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) (e1)) = (e1))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (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 (e1) (e1)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((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))))) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.13/10.31 do 0 intro. intros zenon_H177 zenon_H168 zenon_H103 zenon_H159 zenon_H108 zenon_H165 zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H14d zenon_H145 zenon_H86 zenon_H132 zenon_Hc5 zenon_Hc8 zenon_H3c zenon_H10b zenon_H144 zenon_H12f zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H174 zenon_Hfd zenon_H28 zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hda zenon_H16b zenon_H169 zenon_H7a zenon_H64 zenon_H16e zenon_H173 zenon_H7d zenon_H80 zenon_He4 zenon_He3 zenon_H191 zenon_H1f zenon_H192 zenon_H44 zenon_Haf zenon_Hc0 zenon_Hec zenon_H95 zenon_Hc1 zenon_H53 zenon_He8 zenon_Hbb zenon_He7 zenon_Hf5 zenon_H4c zenon_H35 zenon_H5e zenon_Hde zenon_Hf8.
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.13/10.31 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.13/10.31 apply (zenon_L56_); trivial.
% 10.13/10.31 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H68 | zenon_intro zenon_He9 ].
% 10.13/10.31 apply (zenon_L66_); trivial.
% 10.13/10.31 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Heb | zenon_intro zenon_Hea ].
% 10.13/10.31 exact (zenon_He8 zenon_Heb).
% 10.13/10.31 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H78 | zenon_intro zenon_He5 ].
% 10.13/10.31 apply (zenon_L667_); trivial.
% 10.13/10.31 apply (zenon_L58_); trivial.
% 10.13/10.31 apply (zenon_L160_); trivial.
% 10.13/10.31 (* end of lemma zenon_L668_ *)
% 10.13/10.31 assert (zenon_L669_ : ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (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).
% 10.13/10.31 do 0 intro. intros zenon_H158 zenon_Hcf zenon_Hc6 zenon_H3c zenon_H51 zenon_H91 zenon_Hc8 zenon_Hc5.
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.13/10.31 apply (zenon_L129_); trivial.
% 10.13/10.31 apply (zenon_L321_); trivial.
% 10.13/10.31 (* end of lemma zenon_L669_ *)
% 10.13/10.31 assert (zenon_L670_ : ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((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 (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e2)) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> False).
% 10.13/10.31 do 0 intro. intros zenon_H157 zenon_H112 zenon_Hc5 zenon_Hc8 zenon_H51 zenon_H3c zenon_Hc6 zenon_Hcf zenon_H158.
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.13/10.31 apply (zenon_L669_); trivial.
% 10.13/10.31 apply (zenon_L79_); trivial.
% 10.13/10.31 (* end of lemma zenon_L670_ *)
% 10.13/10.31 assert (zenon_L671_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (((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) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 10.13/10.31 do 0 intro. intros zenon_H64 zenon_H56 zenon_H1f zenon_H1d zenon_H5e zenon_H51 zenon_H7d zenon_H8d zenon_H7a zenon_H7f zenon_H80.
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.13/10.31 exact (zenon_H56 zenon_H2c).
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.13/10.31 apply (zenon_L1_); trivial.
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.13/10.31 apply (zenon_L12_); trivial.
% 10.13/10.31 apply (zenon_L87_); trivial.
% 10.13/10.31 (* end of lemma zenon_L671_ *)
% 10.13/10.31 assert (zenon_L672_ : (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> False).
% 10.13/10.31 do 0 intro. intros zenon_H1f8 zenon_H51 zenon_H6f zenon_H1d zenon_H16e zenon_H155 zenon_H3a zenon_Hed zenon_H1e6.
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H101 | zenon_intro zenon_H1f9 ].
% 10.13/10.31 apply (zenon_L348_); trivial.
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H100 | zenon_intro zenon_H1fa ].
% 10.13/10.31 apply (zenon_L149_); trivial.
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H6e | zenon_intro zenon_H161 ].
% 10.13/10.31 apply (zenon_L223_); trivial.
% 10.13/10.31 apply (zenon_L282_); trivial.
% 10.13/10.31 (* end of lemma zenon_L672_ *)
% 10.13/10.31 assert (zenon_L673_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> False).
% 10.13/10.31 do 0 intro. intros zenon_Hf8 zenon_Hbc zenon_H1dd zenon_He3 zenon_He4 zenon_H7e zenon_H80 zenon_H7d.
% 10.13/10.31 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.13/10.31 apply (zenon_L56_); trivial.
% 10.13/10.31 apply (zenon_L267_); trivial.
% 10.13/10.31 (* end of lemma zenon_L673_ *)
% 10.13/10.31 assert (zenon_L674_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e3)) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.13/10.31 do 0 intro. intros zenon_H151 zenon_Hbb zenon_H7d zenon_H80 zenon_He4 zenon_He3 zenon_H1dd zenon_Hbc zenon_Hf8.
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.13/10.31 apply (zenon_L673_); trivial.
% 10.13/10.31 apply (zenon_L41_); trivial.
% 10.13/10.31 (* end of lemma zenon_L674_ *)
% 10.13/10.31 assert (zenon_L675_ : ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e1))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.13/10.31 do 0 intro. intros zenon_H150 zenon_H1dd zenon_He3 zenon_He4 zenon_Hbb zenon_H151 zenon_H64 zenon_H7a zenon_H80 zenon_H7d zenon_H51 zenon_H5e zenon_H1d zenon_H1f zenon_H56 zenon_H1f8 zenon_H1e6 zenon_H3a zenon_H155 zenon_H16e zenon_H6f zenon_Hf8.
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.13/10.31 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.13/10.31 apply (zenon_L671_); trivial.
% 10.13/10.31 apply (zenon_L672_); trivial.
% 10.13/10.31 apply (zenon_L674_); trivial.
% 10.13/10.31 (* end of lemma zenon_L675_ *)
% 10.13/10.31 assert (zenon_L676_ : ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (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 (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (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 (e1) (e1)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((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))))) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> False).
% 10.13/10.31 do 0 intro. intros zenon_H1ef zenon_H6f zenon_H3a zenon_H1f8 zenon_H177 zenon_H168 zenon_H103 zenon_H159 zenon_H108 zenon_H165 zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H14d zenon_H145 zenon_H86 zenon_H132 zenon_Hc5 zenon_Hc8 zenon_H3c zenon_H10b zenon_H144 zenon_H12f zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H174 zenon_Hfd zenon_H28 zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hda zenon_H16b zenon_H169 zenon_H7a zenon_H64 zenon_H16e zenon_H173 zenon_H7d zenon_H80 zenon_He4 zenon_He3 zenon_H191 zenon_H1f zenon_H44 zenon_Hc0 zenon_Hec zenon_H95 zenon_Hc1 zenon_H53 zenon_He8 zenon_Hbb zenon_He7 zenon_Hf5 zenon_H4c zenon_H35 zenon_H5e zenon_Hde zenon_Hf8 zenon_Hc6 zenon_H56 zenon_H1e6 zenon_H1f0 zenon_H51 zenon_H97 zenon_H1dd zenon_H1ea.
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.13/10.31 apply (zenon_L668_); trivial.
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.13/10.31 apply (zenon_L662_); trivial.
% 10.13/10.31 apply (zenon_L670_); trivial.
% 10.13/10.31 apply (zenon_L675_); trivial.
% 10.13/10.31 (* end of lemma zenon_L676_ *)
% 10.13/10.31 assert (zenon_L677_ : (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e3) (e3)) = (e0))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((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))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e0))) -> (((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 (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (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 (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((~((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 (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e1) (e0)) = (e1))) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e2)) = (e0))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e3) (e3)) = (e1)))\/((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 (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e1) (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 (e1) (e0)) = (op (e3) (e0)))) -> (((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)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((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 (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 10.13/10.31 do 0 intro. intros zenon_H216 zenon_H8d zenon_H18d zenon_H7a zenon_H25 zenon_H156 zenon_Hc6 zenon_Hf8 zenon_H56 zenon_H1b4 zenon_H35 zenon_H212 zenon_Hc1 zenon_H200 zenon_H1cb zenon_H108 zenon_H97 zenon_H187 zenon_Hb0 zenon_Hd3 zenon_H5e zenon_H90 zenon_He8 zenon_H64 zenon_H12c zenon_H17c zenon_H181 zenon_H155 zenon_H1f8 zenon_H128 zenon_H1fb zenon_H95 zenon_Hfd zenon_H6f zenon_H3c zenon_H3a zenon_H144 zenon_H1de zenon_Hec zenon_H51 zenon_H10b zenon_H158 zenon_H152 zenon_Hc5 zenon_H177 zenon_H28 zenon_H53 zenon_H4c zenon_Hf5 zenon_H100 zenon_H1e6 zenon_H1f0 zenon_Hda zenon_H1af zenon_H198 zenon_H195 zenon_H192 zenon_H191 zenon_H159 zenon_H1ea zenon_He7 zenon_Hd2 zenon_H223 zenon_H57 zenon_H44 zenon_H145 zenon_H7d zenon_He3 zenon_H18e zenon_Hb1 zenon_H1ef zenon_H168 zenon_H103 zenon_H165 zenon_H151 zenon_H14a zenon_H14d zenon_H86 zenon_H132 zenon_H12f zenon_H150 zenon_H157 zenon_H112 zenon_H174 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_H16b zenon_H169 zenon_H16e zenon_H173 zenon_H1f zenon_Hc0 zenon_Hbb zenon_Hde zenon_H1dd.
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.13/10.31 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.13/10.31 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 10.13/10.31 exact (zenon_H25 zenon_H2a).
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 10.13/10.31 apply (zenon_L480_); trivial.
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 10.13/10.31 apply (zenon_L666_); trivial.
% 10.13/10.31 apply (zenon_L56_); trivial.
% 10.13/10.31 apply (zenon_L68_); trivial.
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 10.13/10.31 exact (zenon_H25 zenon_H2a).
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 10.13/10.31 apply (zenon_L472_); trivial.
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 10.13/10.31 apply (zenon_L666_); trivial.
% 10.13/10.31 apply (zenon_L676_); trivial.
% 10.13/10.31 apply (zenon_L68_); trivial.
% 10.13/10.31 apply (zenon_L664_); trivial.
% 10.13/10.31 apply (zenon_L354_); trivial.
% 10.13/10.31 apply (zenon_L500_); trivial.
% 10.13/10.31 (* end of lemma zenon_L677_ *)
% 10.13/10.31 assert (zenon_L678_ : ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e3) (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)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((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)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((e0) = (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 (e0) (e2)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (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) (e0)) = (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) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> False).
% 10.13/10.31 do 0 intro. intros zenon_H157 zenon_H216 zenon_H151 zenon_H177 zenon_H44 zenon_H95 zenon_H35 zenon_H14d zenon_H114 zenon_H181 zenon_H12c zenon_H223 zenon_Hec zenon_H18d zenon_H57 zenon_H25 zenon_H8d zenon_H7a zenon_H7d zenon_H1ea zenon_H159 zenon_H191 zenon_H192 zenon_H195 zenon_H198 zenon_H1af zenon_Hda zenon_H1f0 zenon_H1e6 zenon_H100 zenon_Hf5 zenon_H4c zenon_H53 zenon_H28 zenon_H64 zenon_H187 zenon_H51 zenon_H5e zenon_Hd3 zenon_H17c zenon_H9a zenon_H90 zenon_Hb1 zenon_Hb0 zenon_H1b4 zenon_H56 zenon_He3 zenon_H18e zenon_H6f zenon_H155 zenon_H3a zenon_H1f8 zenon_Hf8 zenon_H1fb zenon_Hd2.
% 10.13/10.31 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.13/10.32 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.13/10.32 apply (zenon_L516_); trivial.
% 10.13/10.32 apply (zenon_L664_); trivial.
% 10.13/10.32 apply (zenon_L354_); trivial.
% 10.13/10.32 apply (zenon_L500_); trivial.
% 10.13/10.32 (* end of lemma zenon_L678_ *)
% 10.13/10.32 assert (zenon_L679_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (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) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((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 (e1) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (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 (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((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 (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (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))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (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 (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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 (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 (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (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) (e0)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((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 (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((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) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e3) (e3)) = (e0))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> False).
% 10.13/10.32 do 0 intro. intros zenon_H24 zenon_H57 zenon_H58 zenon_H25 zenon_Hb1 zenon_H44 zenon_H18e zenon_H205 zenon_Hbb zenon_H17a zenon_H165 zenon_H1ea zenon_H16e zenon_H156 zenon_H90 zenon_H17c zenon_H7d zenon_H86 zenon_H132 zenon_H103 zenon_H1cb zenon_H108 zenon_Hf8 zenon_H158 zenon_H145 zenon_H5e zenon_H155 zenon_Hc5 zenon_H12f zenon_H150 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H1b4 zenon_Hce zenon_Hdd zenon_H1af zenon_Hd2 zenon_Hd3 zenon_Hc0 zenon_He7 zenon_H53 zenon_H181 zenon_H42 zenon_H4c zenon_H95 zenon_H187 zenon_H64 zenon_H157 zenon_H14d zenon_H16b zenon_H1b1 zenon_H35 zenon_H159 zenon_H6f zenon_H198 zenon_H7a zenon_H1b7 zenon_H18d zenon_H173 zenon_Hfd zenon_H1fb zenon_H1f8 zenon_H200 zenon_H177 zenon_Hf5 zenon_H1f0 zenon_H1f zenon_H1ef zenon_H114 zenon_H152 zenon_H204 zenon_H4a zenon_H144 zenon_H11d zenon_Hae zenon_H168 zenon_Hc6 zenon_H67 zenon_H16f zenon_Hab zenon_Hde zenon_H112 zenon_H1e6 zenon_H10b zenon_H18a zenon_H1e2 zenon_H97 zenon_Hb0 zenon_H8c zenon_H128 zenon_Hda zenon_H3c zenon_H1de zenon_H1dd zenon_H12c zenon_Hec zenon_He3 zenon_H195 zenon_H3a zenon_H212 zenon_H223 zenon_H8d zenon_H151 zenon_H216 zenon_H191 zenon_H169 zenon_H118 zenon_H110 zenon_H174 zenon_H14a.
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.13/10.32 apply (zenon_L11_); trivial.
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.32 apply (zenon_L190_); trivial.
% 10.13/10.32 apply (zenon_L665_); trivial.
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.32 apply (zenon_L677_); trivial.
% 10.13/10.32 apply (zenon_L678_); trivial.
% 10.13/10.32 apply (zenon_L14_); trivial.
% 10.13/10.32 exact (zenon_H223 zenon_H15a).
% 10.13/10.32 apply (zenon_L343_); trivial.
% 10.13/10.32 apply (zenon_L518_); trivial.
% 10.13/10.32 (* end of lemma zenon_L679_ *)
% 10.13/10.32 assert (zenon_L680_ : (~((op (e3) (e0)) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 10.13/10.32 do 0 intro. intros zenon_H220 zenon_Hb0 zenon_H56 zenon_H64 zenon_H17c zenon_Hb1 zenon_H90 zenon_H4c zenon_Hd3 zenon_H91 zenon_H5e zenon_H145 zenon_H53 zenon_He8 zenon_H28 zenon_Hda zenon_H1e6 zenon_Hed zenon_H3a zenon_H155 zenon_H6f zenon_H51 zenon_H1f8 zenon_H9a zenon_H187.
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.13/10.32 exact (zenon_H56 zenon_H2c).
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.13/10.32 apply (zenon_L656_); trivial.
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.13/10.32 apply (zenon_L349_); trivial.
% 10.13/10.32 apply (zenon_L202_); trivial.
% 10.13/10.32 (* end of lemma zenon_L680_ *)
% 10.13/10.32 assert (zenon_L681_ : (((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)) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e0) (e0)) = (e3))) -> (((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))))) -> (~((e0) = (e1))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 10.13/10.32 do 0 intro. intros zenon_H1b4 zenon_H56 zenon_H223 zenon_H220 zenon_H4c zenon_H69 zenon_H28 zenon_Hda zenon_H14d zenon_H5e zenon_H53 zenon_H7f zenon_H44 zenon_H95 zenon_Hbd zenon_H35 zenon_H177 zenon_H8d.
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 10.13/10.32 exact (zenon_H56 zenon_H2c).
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 10.13/10.32 exact (zenon_H223 zenon_H15a).
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 10.13/10.32 apply (zenon_L661_); trivial.
% 10.13/10.32 apply (zenon_L340_); trivial.
% 10.13/10.32 (* end of lemma zenon_L681_ *)
% 10.13/10.32 assert (zenon_L682_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 10.13/10.32 do 0 intro. intros zenon_H1b4 zenon_H56 zenon_H223 zenon_H73 zenon_H14d zenon_H5e zenon_H53 zenon_H7f zenon_H44 zenon_H95 zenon_Hbd zenon_H35 zenon_H177 zenon_H8d.
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 10.13/10.32 exact (zenon_H56 zenon_H2c).
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 10.13/10.32 exact (zenon_H223 zenon_H15a).
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 10.13/10.32 apply (zenon_L165_); trivial.
% 10.13/10.32 apply (zenon_L340_); trivial.
% 10.13/10.32 (* end of lemma zenon_L682_ *)
% 10.13/10.32 assert (zenon_L683_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (e1) (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)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (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 (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e0))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e1)) = (e3)) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> False).
% 10.13/10.32 do 0 intro. intros zenon_H18e zenon_H168 zenon_H103 zenon_H159 zenon_H108 zenon_H165 zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H145 zenon_H86 zenon_H7d zenon_H132 zenon_Hc5 zenon_Hc8 zenon_H3c zenon_H10b zenon_H144 zenon_H12f zenon_Hf8 zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H174 zenon_Hfd zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_H16b zenon_H1f zenon_H169 zenon_H7a zenon_Hf5 zenon_H64 zenon_H16e zenon_H173 zenon_Hec zenon_H56 zenon_H223 zenon_Hda zenon_H220 zenon_H4c zenon_H53 zenon_H28 zenon_H14d zenon_H8d zenon_H35 zenon_H95 zenon_H44 zenon_H177 zenon_Hbd zenon_H5e zenon_H1b4 zenon_H25 zenon_H17a zenon_H18d.
% 10.13/10.32 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 10.13/10.32 exact (zenon_H25 zenon_H2a).
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 10.13/10.32 apply (zenon_L681_); trivial.
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 10.13/10.32 apply (zenon_L682_); trivial.
% 10.13/10.32 apply (zenon_L160_); trivial.
% 10.13/10.32 apply (zenon_L161_); trivial.
% 10.13/10.32 apply (zenon_L60_); trivial.
% 10.13/10.32 (* end of lemma zenon_L683_ *)
% 10.13/10.32 assert (zenon_L684_ : (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e2) (e2)) = (e0))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (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) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((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 (e1) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (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 (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((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 (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (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))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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 (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 (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (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) (e0)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((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 (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((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) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e0) (e2)) = (e0)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e1)) = (e0))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> ((op (e0) (e3)) = (e3)) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (e1))) -> False).
% 10.13/10.32 do 0 intro. intros zenon_H216 zenon_H220 zenon_Hb1 zenon_H9a zenon_H44 zenon_H18e zenon_H205 zenon_Hbb zenon_H17a zenon_H165 zenon_H1ea zenon_H16e zenon_H156 zenon_H90 zenon_H17c zenon_H7d zenon_H86 zenon_H132 zenon_H103 zenon_H1cb zenon_H108 zenon_Hf8 zenon_H158 zenon_H145 zenon_H5e zenon_H155 zenon_Hc5 zenon_H12f zenon_H150 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H1b4 zenon_Hce zenon_Hdd zenon_H1af zenon_Hd2 zenon_Hd3 zenon_Hc0 zenon_He7 zenon_H53 zenon_H181 zenon_H42 zenon_H4c zenon_H95 zenon_H187 zenon_H64 zenon_H157 zenon_H14d zenon_H16b zenon_H1b1 zenon_H35 zenon_H159 zenon_H6f zenon_H198 zenon_H56 zenon_H58 zenon_H7a zenon_H1b7 zenon_H18d zenon_H173 zenon_Hfd zenon_H1fb zenon_H1f8 zenon_H200 zenon_H177 zenon_Hf5 zenon_H1f0 zenon_H1f zenon_H1ef zenon_H114 zenon_H152 zenon_H204 zenon_H4a zenon_H144 zenon_H11d zenon_Hae zenon_H168 zenon_Hc6 zenon_H67 zenon_H16f zenon_Hab zenon_Hde zenon_H112 zenon_H1e6 zenon_H10b zenon_H18a zenon_H1e2 zenon_H97 zenon_Hb0 zenon_H8c zenon_H128 zenon_Hda zenon_H3c zenon_H1de zenon_H1dd zenon_H12c zenon_Hec zenon_He3 zenon_H195 zenon_H192 zenon_H191 zenon_H28 zenon_H51 zenon_H3a zenon_He8 zenon_H212 zenon_H25 zenon_H57 zenon_H151 zenon_H14a zenon_H174 zenon_H110 zenon_H118 zenon_H169 zenon_H223.
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.13/10.32 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.13/10.32 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.13/10.32 apply (zenon_L495_); trivial.
% 10.13/10.32 apply (zenon_L680_); trivial.
% 10.13/10.32 apply (zenon_L683_); trivial.
% 10.13/10.32 exact (zenon_H220 zenon_Hbc).
% 10.13/10.32 apply (zenon_L354_); trivial.
% 10.13/10.32 apply (zenon_L500_); trivial.
% 10.13/10.32 (* end of lemma zenon_L684_ *)
% 10.13/10.32 assert (zenon_L685_ : (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e3) (e0)) = (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 (e3) (e0)) = (e3))) -> ((op (e0) (e3)) = (e3)) -> (~((e0) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((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))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e1)) = (e0))) -> (((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 (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (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 (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((~((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 (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (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) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 10.13/10.32 do 0 intro. intros zenon_H216 zenon_Hbb zenon_H1dd zenon_H18e zenon_He3 zenon_H220 zenon_H57 zenon_H44 zenon_H145 zenon_H7d zenon_H7a zenon_Hf8 zenon_H56 zenon_H1b4 zenon_H35 zenon_H212 zenon_Hc1 zenon_H200 zenon_H1cb zenon_H108 zenon_H97 zenon_H187 zenon_Hb0 zenon_Hd3 zenon_H5e zenon_H90 zenon_Hb1 zenon_He8 zenon_H64 zenon_H12c zenon_H17c zenon_H181 zenon_H155 zenon_H1f8 zenon_H128 zenon_H1fb zenon_H95 zenon_Hfd zenon_H6f zenon_H3c zenon_H3a zenon_H144 zenon_H1de zenon_Hec zenon_H51 zenon_H10b zenon_H158 zenon_H152 zenon_Hc5 zenon_H177 zenon_H28 zenon_H53 zenon_H4c zenon_Hf5 zenon_H100 zenon_H1e6 zenon_H1f0 zenon_Hda zenon_H1af zenon_H198 zenon_H195 zenon_H192 zenon_H191 zenon_H159 zenon_H1ea zenon_He7 zenon_Hd2 zenon_H25 zenon_H18d zenon_H173 zenon_H16e zenon_H169 zenon_H1f zenon_H16b zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_H174 zenon_H156 zenon_H112 zenon_H157 zenon_H150 zenon_H12f zenon_H132 zenon_H86 zenon_H14a zenon_H151 zenon_H165 zenon_H103 zenon_H168 zenon_H223 zenon_H14d zenon_H17a.
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.13/10.32 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.13/10.32 apply (zenon_L660_); trivial.
% 10.13/10.32 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 10.13/10.32 exact (zenon_H25 zenon_H2a).
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 10.13/10.32 apply (zenon_L681_); trivial.
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 10.13/10.32 apply (zenon_L682_); trivial.
% 10.13/10.32 apply (zenon_L662_); trivial.
% 10.13/10.32 apply (zenon_L161_); trivial.
% 10.13/10.32 apply (zenon_L60_); trivial.
% 10.13/10.32 exact (zenon_H220 zenon_Hbc).
% 10.13/10.32 apply (zenon_L354_); trivial.
% 10.13/10.32 apply (zenon_L500_); trivial.
% 10.13/10.32 (* end of lemma zenon_L685_ *)
% 10.13/10.32 assert (zenon_L686_ : (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (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)) = (e1))) -> (((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) (e2)) = (e0))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((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 (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((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)) = (e0))) -> ((op (e0) (e3)) = (e3)) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e3) (e0)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (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)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> False).
% 10.13/10.32 do 0 intro. intros zenon_H216 zenon_Hf8 zenon_H1f8 zenon_H3a zenon_H155 zenon_H6f zenon_H18e zenon_He3 zenon_H56 zenon_H1b4 zenon_Hb0 zenon_Hb1 zenon_H90 zenon_H9a zenon_H17c zenon_Hd3 zenon_H5e zenon_H51 zenon_H187 zenon_H64 zenon_H28 zenon_H53 zenon_H4c zenon_Hf5 zenon_H100 zenon_H1e6 zenon_H1f0 zenon_Hda zenon_H1af zenon_H198 zenon_H195 zenon_H192 zenon_H191 zenon_H159 zenon_H1ea zenon_H7d zenon_H7a zenon_H25 zenon_H57 zenon_H18d zenon_H17a zenon_H223 zenon_H220 zenon_Hec zenon_H44 zenon_H95 zenon_H173 zenon_H16e zenon_H169 zenon_H1f zenon_H16b zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hfd zenon_H174 zenon_H156 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_H12f zenon_H144 zenon_H10b zenon_H3c zenon_Hc5 zenon_H132 zenon_H86 zenon_H145 zenon_H14d zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H165 zenon_H108 zenon_H35 zenon_H103 zenon_H168 zenon_H177 zenon_H1fb zenon_Hd2.
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.13/10.32 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.13/10.32 apply (zenon_L516_); trivial.
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 10.13/10.32 exact (zenon_H25 zenon_H2a).
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.13/10.32 exact (zenon_H56 zenon_H2c).
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 10.13/10.32 exact (zenon_H56 zenon_H2c).
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 10.13/10.32 exact (zenon_H223 zenon_H15a).
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 10.13/10.32 apply (zenon_L661_); trivial.
% 10.13/10.32 apply (zenon_L485_); trivial.
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.13/10.32 apply (zenon_L228_); trivial.
% 10.13/10.32 apply (zenon_L202_); trivial.
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 10.13/10.32 apply (zenon_L482_); trivial.
% 10.13/10.32 apply (zenon_L160_); trivial.
% 10.13/10.32 apply (zenon_L161_); trivial.
% 10.13/10.32 exact (zenon_H220 zenon_Hbc).
% 10.13/10.32 apply (zenon_L354_); trivial.
% 10.13/10.32 apply (zenon_L500_); trivial.
% 10.13/10.32 (* end of lemma zenon_L686_ *)
% 10.13/10.32 assert (zenon_L687_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e1) (e0)) = (e1))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (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 (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 (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 (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((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) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (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 (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((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)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((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)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (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 (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)) = (op (e2) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (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 (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (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) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> False).
% 10.13/10.32 do 0 intro. intros zenon_H24 zenon_H57 zenon_H58 zenon_H25 zenon_H216 zenon_H151 zenon_H8d zenon_H223 zenon_H212 zenon_H3a zenon_H195 zenon_He3 zenon_Hec zenon_H12c zenon_H1dd zenon_H1de zenon_H3c zenon_Hda zenon_H128 zenon_H8c zenon_Hb0 zenon_H97 zenon_H1e2 zenon_H18a zenon_H10b zenon_H1e6 zenon_H112 zenon_Hde zenon_Hab zenon_H16f zenon_H67 zenon_Hc6 zenon_H168 zenon_Hae zenon_H11d zenon_H144 zenon_H4a zenon_H204 zenon_H152 zenon_H114 zenon_H1ef zenon_H1f zenon_H1f0 zenon_Hf5 zenon_H177 zenon_H200 zenon_H1f8 zenon_H1fb zenon_Hfd zenon_H173 zenon_H18d zenon_H1b7 zenon_H7a zenon_H198 zenon_H6f zenon_H159 zenon_H35 zenon_H1b1 zenon_H16b zenon_H14d zenon_H157 zenon_H64 zenon_H187 zenon_H95 zenon_H4c zenon_H42 zenon_H181 zenon_H53 zenon_He7 zenon_Hc0 zenon_Hd3 zenon_Hd2 zenon_H1af zenon_Hdd zenon_Hce zenon_H1b4 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H150 zenon_H12f zenon_Hc5 zenon_H155 zenon_H5e zenon_H145 zenon_H158 zenon_Hf8 zenon_H108 zenon_H1cb zenon_H103 zenon_H132 zenon_H86 zenon_H7d zenon_H17c zenon_H90 zenon_H156 zenon_H16e zenon_H1ea zenon_H165 zenon_H17a zenon_Hbb zenon_H205 zenon_H18e zenon_H44 zenon_H221 zenon_H191 zenon_H14a zenon_H174 zenon_H110 zenon_H118 zenon_H169.
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.13/10.32 apply (zenon_L11_); trivial.
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.32 apply (zenon_L190_); trivial.
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.13/10.32 apply (zenon_L665_); trivial.
% 10.13/10.32 exact (zenon_H221 zenon_Hcf).
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.13/10.32 apply (zenon_L677_); trivial.
% 10.13/10.32 exact (zenon_H221 zenon_Hcf).
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.13/10.32 apply (zenon_L678_); trivial.
% 10.13/10.32 exact (zenon_H221 zenon_Hcf).
% 10.13/10.32 apply (zenon_L14_); trivial.
% 10.13/10.32 exact (zenon_H223 zenon_H15a).
% 10.13/10.32 apply (zenon_L343_); trivial.
% 10.13/10.32 apply (zenon_L518_); trivial.
% 10.13/10.32 (* end of lemma zenon_L687_ *)
% 10.13/10.32 assert (zenon_L688_ : (((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) (e1)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e2) (e1)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((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))))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e0) (e3)) = (e3)) -> (~((e2) = (e3))) -> False).
% 10.13/10.32 do 0 intro. intros zenon_H42 zenon_Hc0 zenon_He8 zenon_He7 zenon_Hae zenon_H69 zenon_Haf zenon_H6f zenon_Hb0 zenon_Hb8 zenon_H44 zenon_Hb1 zenon_Hab zenon_H4c zenon_H68 zenon_H53 zenon_H28 zenon_H97 zenon_H35 zenon_H5e zenon_Hda zenon_H221 zenon_H27 zenon_Hdd zenon_H57 zenon_H95.
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 10.13/10.32 exact (zenon_H27 zenon_H32).
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 10.13/10.32 apply (zenon_L648_); trivial.
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 10.13/10.32 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hdf ].
% 10.13/10.32 exact (zenon_H27 zenon_H32).
% 10.13/10.32 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H6a | zenon_intro zenon_He0 ].
% 10.13/10.32 apply (zenon_L17_); trivial.
% 10.13/10.32 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd8 ].
% 10.13/10.32 exact (zenon_H221 zenon_Hcf).
% 10.13/10.32 apply (zenon_L180_); trivial.
% 10.13/10.32 apply (zenon_L54_); trivial.
% 10.13/10.32 (* end of lemma zenon_L688_ *)
% 10.13/10.32 assert (zenon_L689_ : (((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 (e0) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((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 (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (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) (e1)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (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 (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((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)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e0)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((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) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (e2))) -> (((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)) = (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))))) -> (~((e2) = (e3))) -> (~((e1) = (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 (e3) (e3)) = (e0))) -> (~((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 (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((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 (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((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 (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((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)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((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) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((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) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((e0) = (e1))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> False).
% 10.13/10.32 do 0 intro. intros zenon_H191 zenon_H205 zenon_H1cb zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H1b4 zenon_Hce zenon_H1af zenon_H1b1 zenon_H198 zenon_H1b7 zenon_H1fb zenon_H1f8 zenon_H200 zenon_H1f0 zenon_H1ef zenon_H204 zenon_H4a zenon_H1e6 zenon_H1e2 zenon_H1de zenon_H1dd zenon_H195 zenon_H212 zenon_H223 zenon_H216 zenon_H17a zenon_H12c zenon_H11b zenon_H128 zenon_H11d zenon_H114 zenon_H1ea zenon_H173 zenon_H16e zenon_H169 zenon_H16b zenon_H16f zenon_H118 zenon_H110 zenon_Hd3 zenon_H174 zenon_H156 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_H12f zenon_H144 zenon_H3c zenon_H132 zenon_H145 zenon_H14d zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H165 zenon_H159 zenon_H168 zenon_H177 zenon_H18d zenon_H42 zenon_H221 zenon_Hda zenon_H6f zenon_Hb0 zenon_H97 zenon_H95 zenon_H35 zenon_Hab zenon_H8c zenon_H8d zenon_H86 zenon_H7a zenon_H7d zenon_H90 zenon_Hae zenon_H53 zenon_Hdd zenon_H44 zenon_Hc5 zenon_Hc6 zenon_Hf8 zenon_Hc0 zenon_Hec zenon_Hbb zenon_He7 zenon_Hf5 zenon_Hde zenon_He3 zenon_H18e zenon_H10b zenon_Hfd zenon_H103 zenon_H108 zenon_H181 zenon_H17c zenon_Hd2 zenon_H184 zenon_H187 zenon_H18a zenon_H24 zenon_H57 zenon_H58 zenon_H25 zenon_H64 zenon_H4c zenon_H5e zenon_H1d zenon_H1f zenon_H67.
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.13/10.32 apply (zenon_L15_); trivial.
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.32 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 10.13/10.33 exact (zenon_H25 zenon_H2a).
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 10.13/10.33 exact (zenon_H27 zenon_H32).
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 10.13/10.33 apply (zenon_L16_); trivial.
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hdf ].
% 10.13/10.33 exact (zenon_H27 zenon_H32).
% 10.13/10.33 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H6a | zenon_intro zenon_He0 ].
% 10.13/10.33 apply (zenon_L17_); trivial.
% 10.13/10.33 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd8 ].
% 10.13/10.33 exact (zenon_H221 zenon_Hcf).
% 10.13/10.33 apply (zenon_L52_); trivial.
% 10.13/10.33 apply (zenon_L54_); trivial.
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 10.13/10.33 apply (zenon_L43_); trivial.
% 10.13/10.33 apply (zenon_L67_); trivial.
% 10.13/10.33 apply (zenon_L68_); trivial.
% 10.13/10.33 apply (zenon_L77_); trivial.
% 10.13/10.33 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 10.13/10.33 exact (zenon_H25 zenon_H2a).
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 10.13/10.33 exact (zenon_H27 zenon_H32).
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 10.13/10.33 apply (zenon_L16_); trivial.
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 10.13/10.33 apply (zenon_L643_); trivial.
% 10.13/10.33 apply (zenon_L54_); trivial.
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 10.13/10.33 apply (zenon_L98_); trivial.
% 10.13/10.33 apply (zenon_L644_); trivial.
% 10.13/10.33 apply (zenon_L161_); trivial.
% 10.13/10.33 apply (zenon_L60_); trivial.
% 10.13/10.33 apply (zenon_L176_); trivial.
% 10.13/10.33 apply (zenon_L687_); trivial.
% 10.13/10.33 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 10.13/10.33 exact (zenon_H25 zenon_H2a).
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 10.13/10.33 apply (zenon_L688_); trivial.
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 10.13/10.33 apply (zenon_L182_); trivial.
% 10.13/10.33 apply (zenon_L186_); trivial.
% 10.13/10.33 apply (zenon_L68_); trivial.
% 10.13/10.33 apply (zenon_L183_); trivial.
% 10.13/10.33 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 10.13/10.33 exact (zenon_H25 zenon_H2a).
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 10.13/10.33 apply (zenon_L688_); trivial.
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 10.13/10.33 apply (zenon_L182_); trivial.
% 10.13/10.33 apply (zenon_L159_); trivial.
% 10.13/10.33 apply (zenon_L161_); trivial.
% 10.13/10.33 apply (zenon_L60_); trivial.
% 10.13/10.33 apply (zenon_L164_); trivial.
% 10.13/10.33 exact (zenon_H221 zenon_Hcf).
% 10.13/10.33 apply (zenon_L88_); trivial.
% 10.13/10.33 apply (zenon_L149_); trivial.
% 10.13/10.33 exact (zenon_H223 zenon_H15a).
% 10.13/10.33 apply (zenon_L85_); trivial.
% 10.13/10.33 apply (zenon_L69_); trivial.
% 10.13/10.33 (* end of lemma zenon_L689_ *)
% 10.13/10.33 assert (zenon_L690_ : ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((e0) = (e1))) -> ((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 (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.13/10.33 do 0 intro. intros zenon_H150 zenon_H220 zenon_H18d zenon_H57 zenon_H56 zenon_H1f zenon_H1d zenon_H5e zenon_H51 zenon_H7d zenon_H7a zenon_H64 zenon_H1f8 zenon_H1e6 zenon_H3a zenon_H155 zenon_H16e zenon_H6f zenon_Hf8.
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.13/10.33 apply (zenon_L671_); trivial.
% 10.13/10.33 apply (zenon_L68_); trivial.
% 10.13/10.33 apply (zenon_L672_); trivial.
% 10.13/10.33 exact (zenon_H220 zenon_Hbc).
% 10.13/10.33 (* end of lemma zenon_L690_ *)
% 10.13/10.33 assert (zenon_L691_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (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) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((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 (e1) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (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 (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((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 (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (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))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (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 (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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 (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 (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (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) (e0)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((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 (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((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) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (e1))) -> (~((op (e2) (e0)) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> False).
% 10.13/10.33 do 0 intro. intros zenon_H24 zenon_H57 zenon_H58 zenon_H25 zenon_H216 zenon_H220 zenon_H44 zenon_H18e zenon_H205 zenon_Hbb zenon_H17a zenon_H165 zenon_H1ea zenon_H16e zenon_H156 zenon_H90 zenon_H17c zenon_H7d zenon_H86 zenon_H132 zenon_H103 zenon_H1cb zenon_H108 zenon_Hf8 zenon_H158 zenon_H145 zenon_H5e zenon_H155 zenon_Hc5 zenon_H12f zenon_H150 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H1b4 zenon_Hce zenon_Hdd zenon_H1af zenon_Hd2 zenon_Hd3 zenon_Hc0 zenon_He7 zenon_H53 zenon_H181 zenon_H42 zenon_H4c zenon_H95 zenon_H187 zenon_H64 zenon_H157 zenon_H14d zenon_H16b zenon_H1b1 zenon_H35 zenon_H159 zenon_H6f zenon_H198 zenon_H7a zenon_H1b7 zenon_H18d zenon_H173 zenon_Hfd zenon_H1fb zenon_H1f8 zenon_H200 zenon_H177 zenon_Hf5 zenon_H1f0 zenon_H1f zenon_H1ef zenon_H114 zenon_H152 zenon_H204 zenon_H4a zenon_H144 zenon_H11d zenon_Hae zenon_H168 zenon_Hc6 zenon_H67 zenon_H16f zenon_Hab zenon_Hde zenon_H112 zenon_H1e6 zenon_H10b zenon_H18a zenon_H1e2 zenon_H97 zenon_Hb0 zenon_H8c zenon_H128 zenon_Hda zenon_H3c zenon_H1de zenon_H1dd zenon_H12c zenon_Hec zenon_He3 zenon_H195 zenon_H3a zenon_H212 zenon_H151 zenon_H14a zenon_H174 zenon_H110 zenon_H118 zenon_H169 zenon_H223 zenon_H221 zenon_H191.
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.13/10.33 apply (zenon_L11_); trivial.
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.33 apply (zenon_L190_); trivial.
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.13/10.33 apply (zenon_L684_); trivial.
% 10.13/10.33 exact (zenon_H221 zenon_Hcf).
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.13/10.33 apply (zenon_L685_); trivial.
% 10.13/10.33 exact (zenon_H221 zenon_Hcf).
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.13/10.33 apply (zenon_L686_); trivial.
% 10.13/10.33 exact (zenon_H221 zenon_Hcf).
% 10.13/10.33 apply (zenon_L690_); trivial.
% 10.13/10.33 exact (zenon_H223 zenon_H15a).
% 10.13/10.33 apply (zenon_L343_); trivial.
% 10.13/10.33 apply (zenon_L518_); trivial.
% 10.13/10.33 (* end of lemma zenon_L691_ *)
% 10.13/10.33 assert (zenon_L692_ : ((~((op (e1) (e1)) = (e0)))\/(~((op (e1) (e0)) = (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/(~((op (e3) (e0)) = (e3)))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((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) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (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 (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((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)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e0)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((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) (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) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (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) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (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 (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 (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (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 (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((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) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((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 (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/((op (e0) (e0)) = (e3))))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (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 (e1) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((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 (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)) = (op (e2) (e0)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((~((op (e2) (e2)) = (e0)))\/(~((op (e2) (e0)) = (e2)))) -> False).
% 10.13/10.33 do 0 intro. intros zenon_H224 zenon_H225 zenon_H25 zenon_H4a zenon_H1af zenon_H17a zenon_H118 zenon_H114 zenon_H112 zenon_H110 zenon_H12c zenon_H11b zenon_H128 zenon_H11d zenon_H173 zenon_H16e zenon_H169 zenon_H16b zenon_H16f zenon_H174 zenon_H156 zenon_H155 zenon_H157 zenon_H150 zenon_H12f zenon_H144 zenon_H3c zenon_H132 zenon_H145 zenon_H14d zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H165 zenon_H159 zenon_H168 zenon_H177 zenon_H18d zenon_H42 zenon_Hda zenon_Hc0 zenon_Hbb zenon_Hd2 zenon_Hce zenon_Hc6 zenon_Hc5 zenon_Hd3 zenon_Hde zenon_H6f zenon_Hb0 zenon_H97 zenon_H95 zenon_H35 zenon_Hab zenon_H8c zenon_H86 zenon_H7a zenon_H7d zenon_H90 zenon_Hae zenon_H53 zenon_Hdd zenon_H44 zenon_Hf8 zenon_Hec zenon_He7 zenon_Hf5 zenon_He3 zenon_H18e zenon_H10b zenon_Hfd zenon_H103 zenon_H108 zenon_H181 zenon_H17c zenon_H184 zenon_H187 zenon_H18a zenon_H1ea zenon_H24 zenon_H57 zenon_H58 zenon_H64 zenon_H4c zenon_H5e zenon_H1f zenon_H67 zenon_H191 zenon_H216 zenon_H212 zenon_H195 zenon_H1dd zenon_H1de zenon_H1e2 zenon_H1e6 zenon_H204 zenon_H1ef zenon_H1f0 zenon_H200 zenon_H1f8 zenon_H1fb zenon_H1b7 zenon_H198 zenon_H1b1 zenon_H1b4 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H1cb zenon_H205 zenon_H226.
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_He8 | zenon_intro zenon_H223 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H221 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H8d | zenon_intro zenon_H220 ].
% 10.13/10.33 apply (zenon_L519_); trivial.
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.13/10.33 exact (zenon_H25 zenon_H2a).
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.13/10.33 apply (zenon_L15_); trivial.
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.13/10.33 apply (zenon_L655_); trivial.
% 10.13/10.33 apply (zenon_L85_); trivial.
% 10.13/10.33 apply (zenon_L69_); trivial.
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.13/10.33 apply (zenon_L11_); trivial.
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.33 apply (zenon_L190_); trivial.
% 10.13/10.33 apply (zenon_L657_); trivial.
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.33 apply (zenon_L663_); trivial.
% 10.13/10.33 apply (zenon_L501_); trivial.
% 10.13/10.33 apply (zenon_L14_); trivial.
% 10.13/10.33 apply (zenon_L343_); trivial.
% 10.13/10.33 apply (zenon_L518_); trivial.
% 10.13/10.33 apply (zenon_L68_); trivial.
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H8d | zenon_intro zenon_H220 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.13/10.33 exact (zenon_H25 zenon_H2a).
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.13/10.33 apply (zenon_L15_); trivial.
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.13/10.33 apply (zenon_L189_); trivial.
% 10.13/10.33 exact (zenon_H221 zenon_Hcf).
% 10.13/10.33 apply (zenon_L88_); trivial.
% 10.13/10.33 apply (zenon_L149_); trivial.
% 10.13/10.33 apply (zenon_L85_); trivial.
% 10.13/10.33 apply (zenon_L69_); trivial.
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.13/10.33 apply (zenon_L11_); trivial.
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.33 apply (zenon_L190_); trivial.
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.13/10.33 apply (zenon_L501_); trivial.
% 10.13/10.33 exact (zenon_H221 zenon_Hcf).
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.13/10.33 apply (zenon_L514_); trivial.
% 10.13/10.33 exact (zenon_H221 zenon_Hcf).
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.13/10.33 apply (zenon_L517_); trivial.
% 10.13/10.33 exact (zenon_H221 zenon_Hcf).
% 10.13/10.33 apply (zenon_L14_); trivial.
% 10.13/10.33 apply (zenon_L343_); trivial.
% 10.13/10.33 apply (zenon_L518_); trivial.
% 10.13/10.33 apply (zenon_L68_); trivial.
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.13/10.33 exact (zenon_H25 zenon_H2a).
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.13/10.33 apply (zenon_L15_); trivial.
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.13/10.33 apply (zenon_L654_); trivial.
% 10.13/10.33 exact (zenon_H221 zenon_Hcf).
% 10.13/10.33 apply (zenon_L88_); trivial.
% 10.13/10.33 apply (zenon_L149_); trivial.
% 10.13/10.33 apply (zenon_L85_); trivial.
% 10.13/10.33 apply (zenon_L69_); trivial.
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.13/10.33 apply (zenon_L11_); trivial.
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.33 apply (zenon_L190_); trivial.
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.13/10.33 apply (zenon_L657_); trivial.
% 10.13/10.33 exact (zenon_H221 zenon_Hcf).
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.13/10.33 apply (zenon_L663_); trivial.
% 10.13/10.33 exact (zenon_H221 zenon_Hcf).
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.13/10.33 exact (zenon_H56 zenon_H2c).
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.13/10.33 apply (zenon_L656_); trivial.
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.13/10.33 apply (zenon_L228_); trivial.
% 10.13/10.33 apply (zenon_L202_); trivial.
% 10.13/10.33 apply (zenon_L500_); trivial.
% 10.13/10.33 exact (zenon_H221 zenon_Hcf).
% 10.13/10.33 apply (zenon_L14_); trivial.
% 10.13/10.33 apply (zenon_L343_); trivial.
% 10.13/10.33 apply (zenon_L518_); trivial.
% 10.13/10.33 apply (zenon_L68_); trivial.
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H221 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H8d | zenon_intro zenon_H220 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.13/10.33 exact (zenon_H25 zenon_H2a).
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.13/10.33 apply (zenon_L15_); trivial.
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.13/10.33 apply (zenon_L177_); trivial.
% 10.13/10.33 apply (zenon_L679_); trivial.
% 10.13/10.33 apply (zenon_L188_); trivial.
% 10.13/10.33 apply (zenon_L88_); trivial.
% 10.13/10.33 apply (zenon_L149_); trivial.
% 10.13/10.33 exact (zenon_H223 zenon_H15a).
% 10.13/10.33 apply (zenon_L85_); trivial.
% 10.13/10.33 apply (zenon_L69_); trivial.
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.13/10.33 apply (zenon_L679_); trivial.
% 10.13/10.33 apply (zenon_L68_); trivial.
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.13/10.33 exact (zenon_H25 zenon_H2a).
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.13/10.33 apply (zenon_L15_); trivial.
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.13/10.33 apply (zenon_L655_); trivial.
% 10.13/10.33 exact (zenon_H223 zenon_H15a).
% 10.13/10.33 apply (zenon_L85_); trivial.
% 10.13/10.33 apply (zenon_L69_); trivial.
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.13/10.33 apply (zenon_L11_); trivial.
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.33 apply (zenon_L190_); trivial.
% 10.13/10.33 apply (zenon_L684_); trivial.
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.33 apply (zenon_L685_); trivial.
% 10.13/10.33 apply (zenon_L686_); trivial.
% 10.13/10.33 apply (zenon_L14_); trivial.
% 10.13/10.33 exact (zenon_H223 zenon_H15a).
% 10.13/10.33 apply (zenon_L343_); trivial.
% 10.13/10.33 apply (zenon_L518_); trivial.
% 10.13/10.33 apply (zenon_L68_); trivial.
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H8d | zenon_intro zenon_H220 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.13/10.33 exact (zenon_H25 zenon_H2a).
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.13/10.33 apply (zenon_L689_); trivial.
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.13/10.33 apply (zenon_L687_); trivial.
% 10.13/10.33 apply (zenon_L68_); trivial.
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.13/10.33 exact (zenon_H25 zenon_H2a).
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.13/10.33 apply (zenon_L15_); trivial.
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.13/10.33 apply (zenon_L652_); trivial.
% 10.13/10.33 apply (zenon_L691_); trivial.
% 10.13/10.33 apply (zenon_L653_); trivial.
% 10.13/10.33 exact (zenon_H221 zenon_Hcf).
% 10.13/10.33 apply (zenon_L88_); trivial.
% 10.13/10.33 apply (zenon_L149_); trivial.
% 10.13/10.33 exact (zenon_H223 zenon_H15a).
% 10.13/10.33 apply (zenon_L85_); trivial.
% 10.13/10.33 apply (zenon_L69_); trivial.
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.13/10.33 apply (zenon_L691_); trivial.
% 10.13/10.33 apply (zenon_L68_); trivial.
% 10.13/10.33 (* end of lemma zenon_L692_ *)
% 10.13/10.33 assert (zenon_L693_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (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) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((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 (e1) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (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 (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((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 (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (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))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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 (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 (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (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) (e0)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((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 (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((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) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 10.13/10.33 do 0 intro. intros zenon_H151 zenon_H1b0 zenon_H44 zenon_H69 zenon_Haf zenon_H18e zenon_H205 zenon_Hbb zenon_H17a zenon_H165 zenon_H1ea zenon_H16e zenon_H156 zenon_H90 zenon_H17c zenon_H7d zenon_H86 zenon_H132 zenon_H103 zenon_H1cb zenon_H108 zenon_Hf8 zenon_H191 zenon_H192 zenon_H158 zenon_H145 zenon_H5e zenon_H155 zenon_H91 zenon_Hc5 zenon_H12f zenon_H150 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H1b4 zenon_Hce zenon_Hdd zenon_H1af zenon_Hd2 zenon_Hd3 zenon_Hc0 zenon_He7 zenon_H53 zenon_H181 zenon_H42 zenon_H4c zenon_H95 zenon_H187 zenon_H64 zenon_H157 zenon_H14d zenon_H16b zenon_H1b1 zenon_H35 zenon_H159 zenon_H6f zenon_H198 zenon_H56 zenon_H58 zenon_H7a zenon_H1b7 zenon_H18d zenon_H173 zenon_Hfd zenon_H1fb zenon_H1f8 zenon_H200 zenon_H177 zenon_Hf5 zenon_H1f0 zenon_H1f zenon_H195 zenon_H1ef zenon_H114 zenon_H152 zenon_H204 zenon_H4a zenon_H144 zenon_H11d zenon_Hae zenon_H168 zenon_Hc6 zenon_H67 zenon_H16f zenon_Hab zenon_Hde zenon_H112 zenon_H1e6 zenon_H10b zenon_H18a zenon_H1e2 zenon_H97 zenon_Hb0 zenon_H8c zenon_H128 zenon_Hda zenon_H3c zenon_H1de zenon_H1dd zenon_H12c zenon_Hec zenon_He3 zenon_H9a.
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.13/10.33 apply (zenon_L465_); trivial.
% 10.13/10.33 exact (zenon_H1b0 zenon_Hbd).
% 10.13/10.33 (* end of lemma zenon_L693_ *)
% 10.13/10.33 assert (zenon_L694_ : (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (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 (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 (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 (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((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) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (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 (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((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)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((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)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (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 (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)) = (op (e2) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (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 (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (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) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e3) (e1)) = (e3))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (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))))) -> False).
% 10.13/10.33 do 0 intro. intros zenon_He3 zenon_Hec zenon_H12c zenon_H1dd zenon_H1de zenon_H3c zenon_Hda zenon_H128 zenon_H8c zenon_Hb0 zenon_H97 zenon_H1e2 zenon_H18a zenon_H10b zenon_H1e6 zenon_H112 zenon_Hde zenon_Hab zenon_H16f zenon_H67 zenon_Hc6 zenon_H168 zenon_Hae zenon_H11d zenon_H144 zenon_H4a zenon_H204 zenon_H152 zenon_H114 zenon_H1ef zenon_H1f zenon_H1f0 zenon_Hf5 zenon_H177 zenon_H200 zenon_H1f8 zenon_H1fb zenon_Hfd zenon_H173 zenon_H18d zenon_H1b7 zenon_H7a zenon_H58 zenon_H56 zenon_H198 zenon_H6f zenon_H159 zenon_H35 zenon_H1b1 zenon_H16b zenon_H14d zenon_H157 zenon_H64 zenon_H187 zenon_H95 zenon_H4c zenon_H42 zenon_H181 zenon_H53 zenon_He7 zenon_Hc0 zenon_Hd3 zenon_Hd2 zenon_H1af zenon_Hdd zenon_Hce zenon_H1b4 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H150 zenon_H12f zenon_Hc5 zenon_H91 zenon_H155 zenon_H5e zenon_H145 zenon_H158 zenon_Hf8 zenon_H108 zenon_H1cb zenon_H103 zenon_H132 zenon_H86 zenon_H7d zenon_H17c zenon_H90 zenon_H156 zenon_H16e zenon_H1ea zenon_H165 zenon_H17a zenon_Hbb zenon_H205 zenon_H18e zenon_H44 zenon_H1b0 zenon_H151 zenon_H195 zenon_H69 zenon_H192 zenon_Haf zenon_H191.
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.33 apply (zenon_L191_); trivial.
% 10.13/10.33 apply (zenon_L693_); trivial.
% 10.13/10.33 (* end of lemma zenon_L694_ *)
% 10.13/10.33 assert (zenon_L695_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> False).
% 10.13/10.33 do 0 intro. intros zenon_H151 zenon_H1b0 zenon_H56 zenon_H1b4 zenon_H90 zenon_H17c zenon_H91 zenon_Hd3 zenon_H27 zenon_H44 zenon_H69 zenon_H35 zenon_Hf5 zenon_H100 zenon_H1e6 zenon_H1f0 zenon_Hdd zenon_H9a zenon_H198 zenon_Hc5 zenon_Hc8 zenon_Hc7 zenon_H3c zenon_Hb1 zenon_H187 zenon_H64.
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.13/10.33 apply (zenon_L527_); trivial.
% 10.13/10.33 exact (zenon_H1b0 zenon_Hbd).
% 10.13/10.33 (* end of lemma zenon_L695_ *)
% 10.13/10.33 assert (zenon_L696_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (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 (e0) (e0)) = (e3))) -> (~((e0) = (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))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (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 (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 (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 (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (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 (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 10.13/10.33 do 0 intro. intros zenon_H151 zenon_H1b0 zenon_H25 zenon_H42 zenon_Hd0 zenon_H181 zenon_H28 zenon_H53 zenon_H95 zenon_H7a zenon_H84 zenon_H97 zenon_H44 zenon_H27 zenon_H1b7 zenon_H9a zenon_H187 zenon_H1cb zenon_H64 zenon_H6f zenon_H18a zenon_H86 zenon_H17c zenon_H198 zenon_Hdd zenon_H1f0 zenon_H1e6 zenon_H100 zenon_Hf5 zenon_H35 zenon_H69 zenon_Hd3 zenon_H91 zenon_H90 zenon_H1b4 zenon_H56 zenon_H200.
% 10.13/10.33 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.13/10.33 apply (zenon_L612_); trivial.
% 10.13/10.33 exact (zenon_H1b0 zenon_Hbd).
% 10.13/10.33 (* end of lemma zenon_L696_ *)
% 10.13/10.33 assert (zenon_L697_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((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 (e1) (e2)))) -> (~((op (e0) (e2)) = (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 (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (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 (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((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 (e0) (e0)) = (e1))) -> (~((op (e3) (e1)) = (e3))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> False).
% 10.13/10.33 do 0 intro. intros zenon_Hd2 zenon_H200 zenon_H86 zenon_H18a zenon_H6f zenon_H1cb zenon_H1b7 zenon_H97 zenon_H84 zenon_H7a zenon_H95 zenon_H53 zenon_H28 zenon_H181 zenon_H42 zenon_H25 zenon_H64 zenon_H187 zenon_Hb1 zenon_H3c zenon_Hc7 zenon_Hc5 zenon_H198 zenon_H9a zenon_Hdd zenon_H1f0 zenon_H1e6 zenon_H100 zenon_Hf5 zenon_H35 zenon_H69 zenon_H44 zenon_H27 zenon_Hd3 zenon_H91 zenon_H17c zenon_H90 zenon_H1b4 zenon_H56 zenon_H1b0 zenon_H151.
% 10.13/10.33 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.13/10.33 apply (zenon_L695_); trivial.
% 10.13/10.33 apply (zenon_L696_); trivial.
% 10.13/10.33 (* end of lemma zenon_L697_ *)
% 10.13/10.33 assert (zenon_L698_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (((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 (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((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)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (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 (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((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))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (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) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.13/10.34 do 0 intro. intros zenon_H151 zenon_H1b0 zenon_H200 zenon_H18a zenon_H86 zenon_H6f zenon_H8d zenon_H7a zenon_H7d zenon_H1ea zenon_H159 zenon_H191 zenon_H192 zenon_H195 zenon_H1af zenon_Hda zenon_H187 zenon_H5e zenon_Hb1 zenon_Hb0 zenon_H156 zenon_H12c zenon_H205 zenon_Hbb zenon_H1b1 zenon_Hce zenon_Hd2 zenon_He3 zenon_H18d zenon_H56 zenon_H1b4 zenon_H90 zenon_H17c zenon_H91 zenon_Hd3 zenon_H27 zenon_H44 zenon_H69 zenon_H35 zenon_Hf5 zenon_H100 zenon_H1e6 zenon_H1f0 zenon_Hdd zenon_H9a zenon_H198 zenon_H42 zenon_H28 zenon_H53 zenon_H4c zenon_H95 zenon_H97 zenon_H3a zenon_H3c zenon_H64 zenon_H25 zenon_H1cb zenon_H108 zenon_H155 zenon_H1f8 zenon_Hfd zenon_H10b zenon_H144 zenon_Hf8.
% 10.13/10.34 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.13/10.34 apply (zenon_L617_); trivial.
% 10.13/10.34 exact (zenon_H1b0 zenon_Hbd).
% 10.13/10.34 (* end of lemma zenon_L698_ *)
% 10.13/10.34 assert (zenon_L699_ : ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((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)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (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 (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((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 (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 (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> (~((e1) = (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) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (e0)) = (op (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) (e3)) = (op (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)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (e3))) -> (~((e2) = (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))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((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 (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> False).
% 10.13/10.34 do 0 intro. intros zenon_H158 zenon_H7d zenon_H1ea zenon_H159 zenon_H191 zenon_H192 zenon_H195 zenon_H1af zenon_Hda zenon_H5e zenon_Hb0 zenon_H156 zenon_H12c zenon_H205 zenon_Hbb zenon_H1b1 zenon_Hce zenon_He3 zenon_H18d zenon_H108 zenon_H155 zenon_H1f8 zenon_Hfd zenon_H10b zenon_H144 zenon_Hf8 zenon_H150 zenon_H151 zenon_H1b0 zenon_H56 zenon_H1b4 zenon_H90 zenon_H17c zenon_H91 zenon_Hd3 zenon_H27 zenon_H44 zenon_H35 zenon_Hf5 zenon_H1e6 zenon_H1f0 zenon_Hdd zenon_H198 zenon_Hc5 zenon_H3c zenon_H187 zenon_H64 zenon_H25 zenon_H42 zenon_H181 zenon_H28 zenon_H95 zenon_H7a zenon_H97 zenon_H1b7 zenon_H1cb zenon_H6f zenon_H18a zenon_H200 zenon_Hd2 zenon_H53 zenon_H69 zenon_H4c zenon_H100 zenon_H86 zenon_H84 zenon_H1de.
% 10.13/10.34 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.34 apply (zenon_L523_); trivial.
% 10.13/10.34 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.13/10.34 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.13/10.34 apply (zenon_L697_); trivial.
% 10.13/10.34 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.13/10.34 apply (zenon_L698_); trivial.
% 10.13/10.34 apply (zenon_L266_); trivial.
% 10.13/10.34 apply (zenon_L397_); trivial.
% 10.13/10.34 (* end of lemma zenon_L699_ *)
% 10.13/10.34 assert (zenon_L700_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (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) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (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)) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e1))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.13/10.34 do 0 intro. intros zenon_H151 zenon_H1b0 zenon_H64 zenon_H6f zenon_H198 zenon_H9a zenon_Hdd zenon_H1f0 zenon_H1e6 zenon_H100 zenon_Hf5 zenon_H35 zenon_H69 zenon_H44 zenon_H27 zenon_H42 zenon_H90 zenon_H187 zenon_H43 zenon_H17c zenon_H18d zenon_H86 zenon_H7a zenon_H7d zenon_H18a zenon_H91 zenon_Hd3 zenon_H3a zenon_H3c zenon_H1b4 zenon_H56 zenon_H108 zenon_H53 zenon_Hb1 zenon_H5e zenon_H1cb zenon_Hf8.
% 10.13/10.34 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.13/10.34 apply (zenon_L532_); trivial.
% 10.13/10.34 exact (zenon_H1b0 zenon_Hbd).
% 10.13/10.34 (* end of lemma zenon_L700_ *)
% 10.13/10.34 assert (zenon_L701_ : ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> (~((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 (e0) (e3)) = (op (e3) (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 (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e0)) = (op (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 (e2) (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 (e0) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> False).
% 10.13/10.34 do 0 intro. intros zenon_H158 zenon_Hf8 zenon_H1cb zenon_H5e zenon_H53 zenon_H108 zenon_H7d zenon_H7a zenon_H18d zenon_H42 zenon_H151 zenon_H1b0 zenon_H56 zenon_H1b4 zenon_H90 zenon_H17c zenon_H91 zenon_Hd3 zenon_H27 zenon_H44 zenon_H69 zenon_H35 zenon_Hf5 zenon_H100 zenon_H1e6 zenon_H1f0 zenon_Hdd zenon_H9a zenon_H198 zenon_Hc5 zenon_H3c zenon_Hb1 zenon_H187 zenon_H64 zenon_H43 zenon_H86 zenon_H84 zenon_H18a zenon_H6f zenon_Hd2.
% 10.13/10.34 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.13/10.34 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.13/10.34 apply (zenon_L695_); trivial.
% 10.13/10.34 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.13/10.34 apply (zenon_L528_); trivial.
% 10.13/10.34 exact (zenon_H1b0 zenon_Hbd).
% 10.13/10.34 apply (zenon_L700_); trivial.
% 10.13/10.34 (* end of lemma zenon_L701_ *)
% 10.13/10.34 assert (zenon_L702_ : ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> (((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 (e0) (e3)) = (op (e3) (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 (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> (~((e1) = (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) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (e0)) = (op (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) (e3)) = (op (e1) (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 (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> False).
% 10.13/10.34 do 0 intro. intros zenon_H1af zenon_H158 zenon_Hf8 zenon_H1cb zenon_H5e zenon_H108 zenon_H7d zenon_H7a zenon_H18d zenon_H42 zenon_H151 zenon_H1b0 zenon_H56 zenon_H1b4 zenon_H90 zenon_H17c zenon_H91 zenon_Hd3 zenon_H27 zenon_H44 zenon_H35 zenon_Hf5 zenon_H1e6 zenon_H1f0 zenon_Hdd zenon_H198 zenon_Hc5 zenon_H3c zenon_H187 zenon_H64 zenon_H43 zenon_H18a zenon_H6f zenon_Hd2 zenon_H156 zenon_H53 zenon_H69 zenon_H4c zenon_H100 zenon_H86 zenon_H84 zenon_H1de.
% 10.13/10.34 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.34 apply (zenon_L523_); trivial.
% 10.13/10.34 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.13/10.34 apply (zenon_L701_); trivial.
% 10.13/10.34 apply (zenon_L235_); trivial.
% 10.13/10.34 (* end of lemma zenon_L702_ *)
% 10.13/10.34 assert (zenon_L703_ : (~((op (e0) (e0)) = (e2))) -> ((op (e0) (e3)) = (e0)) -> ((op (e2) (e2)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (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) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((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 (e1) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (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 (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((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 (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (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))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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 (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 (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (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) (e0)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((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 (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((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) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 10.13/10.34 do 0 intro. intros zenon_H27 zenon_H43 zenon_H3a zenon_H191 zenon_H192 zenon_H69 zenon_H195 zenon_H151 zenon_H1b0 zenon_H44 zenon_H18e zenon_H205 zenon_Hbb zenon_H17a zenon_H165 zenon_H1ea zenon_H16e zenon_H156 zenon_H90 zenon_H17c zenon_H7d zenon_H86 zenon_H132 zenon_H103 zenon_H1cb zenon_H108 zenon_Hf8 zenon_H158 zenon_H145 zenon_H5e zenon_H155 zenon_H91 zenon_Hc5 zenon_H12f zenon_H150 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H1b4 zenon_Hce zenon_Hdd zenon_H1af zenon_Hd2 zenon_Hd3 zenon_Hc0 zenon_He7 zenon_H53 zenon_H181 zenon_H42 zenon_H4c zenon_H95 zenon_H187 zenon_H64 zenon_H157 zenon_H14d zenon_H16b zenon_H1b1 zenon_H35 zenon_H159 zenon_H6f zenon_H198 zenon_H56 zenon_H58 zenon_H7a zenon_H1b7 zenon_H18d zenon_H173 zenon_Hfd zenon_H1fb zenon_H1f8 zenon_H200 zenon_H177 zenon_Hf5 zenon_H1f0 zenon_H1f zenon_H1ef zenon_H114 zenon_H152 zenon_H204 zenon_H4a zenon_H144 zenon_H11d zenon_Hae zenon_H168 zenon_Hc6 zenon_H67 zenon_H16f zenon_Hab zenon_Hde zenon_H112 zenon_H1e6 zenon_H10b zenon_H18a zenon_H1e2 zenon_H97 zenon_Hb0 zenon_H8c zenon_H128 zenon_Hda zenon_H3c zenon_H1de zenon_H1dd zenon_H12c zenon_Hec zenon_He3.
% 10.13/10.34 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.13/10.34 apply (zenon_L694_); trivial.
% 10.13/10.34 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.34 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.13/10.34 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.13/10.34 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.13/10.34 apply (zenon_L24_); trivial.
% 10.13/10.34 apply (zenon_L702_); trivial.
% 10.13/10.34 apply (zenon_L623_); trivial.
% 10.13/10.34 exact (zenon_H1b0 zenon_Hbd).
% 10.13/10.34 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.13/10.34 apply (zenon_L700_); trivial.
% 10.13/10.34 apply (zenon_L235_); trivial.
% 10.13/10.34 (* end of lemma zenon_L703_ *)
% 10.13/10.34 assert (zenon_L704_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((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))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e1)) = (e0))) -> (((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 (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (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 (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((~((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 (e3) (e1)) = (e3))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> False).
% 10.13/10.34 do 0 intro. intros zenon_Hd2 zenon_Hf8 zenon_H56 zenon_H1b4 zenon_H35 zenon_H212 zenon_Hc1 zenon_H200 zenon_H1cb zenon_H108 zenon_H97 zenon_H187 zenon_Hb0 zenon_Hd3 zenon_H91 zenon_H5e zenon_H90 zenon_Hb1 zenon_He8 zenon_H64 zenon_H12c zenon_H17c zenon_H181 zenon_H155 zenon_H1f8 zenon_H128 zenon_H1fb zenon_H95 zenon_Hfd zenon_H6f zenon_H3c zenon_H3a zenon_H144 zenon_H25 zenon_H1de zenon_Hec zenon_H51 zenon_H10b zenon_H158 zenon_H152 zenon_Hc5 zenon_H177 zenon_H28 zenon_H53 zenon_H4c zenon_Hf5 zenon_H100 zenon_H1e6 zenon_H1f0 zenon_Hda zenon_H1af zenon_H198 zenon_H195 zenon_H69 zenon_H192 zenon_H191 zenon_H159 zenon_H1ea zenon_He7 zenon_H1b0 zenon_H151.
% 10.13/10.34 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.13/10.34 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.13/10.34 apply (zenon_L478_); trivial.
% 10.13/10.34 exact (zenon_H1b0 zenon_Hbd).
% 10.13/10.34 apply (zenon_L354_); trivial.
% 10.13/10.34 (* end of lemma zenon_L704_ *)
% 10.13/10.34 assert (zenon_L705_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e3)) -> (~((e1) = (e3))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((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))))) -> False).
% 10.13/10.34 do 0 intro. intros zenon_H151 zenon_H1b0 zenon_H56 zenon_Hf5 zenon_H100 zenon_H1e6 zenon_H1f0 zenon_Hbc zenon_H4c zenon_H5e zenon_H51 zenon_H187 zenon_H9a zenon_H64.
% 10.13/10.34 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.13/10.34 apply (zenon_L493_); trivial.
% 10.13/10.34 exact (zenon_H1b0 zenon_Hbd).
% 10.13/10.34 (* end of lemma zenon_L705_ *)
% 10.13/10.34 assert (zenon_L706_ : (~((op (e0) (e0)) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e0)) = (e0))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e1)) = (e0))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (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) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((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 (e1) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (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 (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((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 (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (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))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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 (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 (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (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) (e0)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((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 (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((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) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 10.13/10.34 do 0 intro. intros zenon_H28 zenon_H51 zenon_H25 zenon_H3a zenon_He8 zenon_H212 zenon_H191 zenon_H192 zenon_H69 zenon_H195 zenon_H151 zenon_H1b0 zenon_H44 zenon_H18e zenon_H205 zenon_Hbb zenon_H17a zenon_H165 zenon_H1ea zenon_H16e zenon_H156 zenon_H90 zenon_H17c zenon_H7d zenon_H86 zenon_H132 zenon_H103 zenon_H1cb zenon_H108 zenon_Hf8 zenon_H158 zenon_H145 zenon_H5e zenon_H155 zenon_H91 zenon_Hc5 zenon_H12f zenon_H150 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H1b4 zenon_Hce zenon_Hdd zenon_H1af zenon_Hd2 zenon_Hd3 zenon_Hc0 zenon_He7 zenon_H53 zenon_H181 zenon_H42 zenon_H4c zenon_H95 zenon_H187 zenon_H64 zenon_H157 zenon_H14d zenon_H16b zenon_H1b1 zenon_H35 zenon_H159 zenon_H6f zenon_H198 zenon_H56 zenon_H58 zenon_H7a zenon_H1b7 zenon_H18d zenon_H173 zenon_Hfd zenon_H1fb zenon_H1f8 zenon_H200 zenon_H177 zenon_Hf5 zenon_H1f0 zenon_H1f zenon_H1ef zenon_H114 zenon_H152 zenon_H204 zenon_H4a zenon_H144 zenon_H11d zenon_Hae zenon_H168 zenon_Hc6 zenon_H67 zenon_H16f zenon_Hab zenon_Hde zenon_H112 zenon_H1e6 zenon_H10b zenon_H18a zenon_H1e2 zenon_H97 zenon_Hb0 zenon_H8c zenon_H128 zenon_Hda zenon_H3c zenon_H1de zenon_H1dd zenon_H12c zenon_Hec zenon_He3.
% 10.13/10.34 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.13/10.34 apply (zenon_L694_); trivial.
% 10.13/10.34 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.34 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.13/10.34 apply (zenon_L704_); trivial.
% 10.13/10.34 apply (zenon_L321_); trivial.
% 10.13/10.34 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.13/10.34 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.13/10.34 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.13/10.34 apply (zenon_L492_); trivial.
% 10.13/10.34 exact (zenon_H1b0 zenon_Hbd).
% 10.13/10.34 apply (zenon_L705_); trivial.
% 10.13/10.34 apply (zenon_L435_); trivial.
% 10.13/10.34 (* end of lemma zenon_L706_ *)
% 10.13/10.34 assert (zenon_L707_ : ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e0)) = (e0))) -> ((op (e2) (e2)) = (e2)) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (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) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((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 (e1) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (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 (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((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 (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (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))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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 (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 (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (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) (e0)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((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 (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((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) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 10.13/10.34 do 0 intro. intros zenon_H51 zenon_H25 zenon_H3a zenon_H212 zenon_H191 zenon_H192 zenon_H69 zenon_H195 zenon_H151 zenon_H1b0 zenon_H44 zenon_H18e zenon_H205 zenon_Hbb zenon_H17a zenon_H165 zenon_H1ea zenon_H16e zenon_H156 zenon_H90 zenon_H17c zenon_H7d zenon_H86 zenon_H132 zenon_H103 zenon_H1cb zenon_H108 zenon_Hf8 zenon_H158 zenon_H145 zenon_H5e zenon_H155 zenon_H91 zenon_Hc5 zenon_H12f zenon_H150 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H1b4 zenon_Hce zenon_Hdd zenon_H1af zenon_Hd2 zenon_Hd3 zenon_Hc0 zenon_He7 zenon_H53 zenon_H181 zenon_H42 zenon_H4c zenon_H95 zenon_H187 zenon_H64 zenon_H157 zenon_H14d zenon_H16b zenon_H1b1 zenon_H35 zenon_H159 zenon_H6f zenon_H198 zenon_H56 zenon_H58 zenon_H7a zenon_H1b7 zenon_H18d zenon_H173 zenon_Hfd zenon_H1fb zenon_H1f8 zenon_H200 zenon_H177 zenon_Hf5 zenon_H1f0 zenon_H1f zenon_H1ef zenon_H114 zenon_H152 zenon_H204 zenon_H4a zenon_H144 zenon_H11d zenon_Hae zenon_H168 zenon_Hc6 zenon_H67 zenon_H16f zenon_Hab zenon_Hde zenon_H112 zenon_H1e6 zenon_H10b zenon_H18a zenon_H1e2 zenon_H97 zenon_Hb0 zenon_H8c zenon_H128 zenon_Hda zenon_H3c zenon_H1de zenon_H1dd zenon_H12c zenon_Hec zenon_He3.
% 10.13/10.34 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.13/10.34 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.13/10.34 apply (zenon_L706_); trivial.
% 10.13/10.34 apply (zenon_L468_); trivial.
% 10.13/10.34 apply (zenon_L343_); trivial.
% 10.13/10.34 (* end of lemma zenon_L707_ *)
% 10.13/10.34 assert (zenon_L708_ : ((op (e3) (e3)) = (e3)) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e0)) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (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) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((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 (e1) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (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 (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((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 (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (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))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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 (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 (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (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) (e0)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((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 (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((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) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 10.13/10.34 do 0 intro. intros zenon_H84 zenon_H43 zenon_H27 zenon_H191 zenon_H192 zenon_H69 zenon_H195 zenon_H151 zenon_H1b0 zenon_H44 zenon_H18e zenon_H205 zenon_Hbb zenon_H17a zenon_H165 zenon_H1ea zenon_H16e zenon_H156 zenon_H90 zenon_H17c zenon_H7d zenon_H86 zenon_H132 zenon_H103 zenon_H1cb zenon_H108 zenon_Hf8 zenon_H158 zenon_H145 zenon_H5e zenon_H155 zenon_H91 zenon_Hc5 zenon_H12f zenon_H150 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H1b4 zenon_Hce zenon_Hdd zenon_H1af zenon_Hd2 zenon_Hd3 zenon_Hc0 zenon_He7 zenon_H53 zenon_H181 zenon_H42 zenon_H4c zenon_H95 zenon_H187 zenon_H64 zenon_H157 zenon_H14d zenon_H16b zenon_H1b1 zenon_H35 zenon_H159 zenon_H6f zenon_H198 zenon_H56 zenon_H58 zenon_H7a zenon_H1b7 zenon_H18d zenon_H173 zenon_Hfd zenon_H1fb zenon_H1f8 zenon_H200 zenon_H177 zenon_Hf5 zenon_H1f0 zenon_H1f zenon_H1ef zenon_H114 zenon_H152 zenon_H204 zenon_H4a zenon_H144 zenon_H11d zenon_Hae zenon_H168 zenon_Hc6 zenon_H67 zenon_H16f zenon_Hab zenon_Hde zenon_H112 zenon_H1e6 zenon_H10b zenon_H18a zenon_H1e2 zenon_H97 zenon_Hb0 zenon_H8c zenon_H128 zenon_Hda zenon_H3c zenon_H1de zenon_H1dd zenon_H12c zenon_Hec zenon_He3.
% 10.13/10.34 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.13/10.34 apply (zenon_L694_); trivial.
% 10.13/10.34 apply (zenon_L702_); trivial.
% 10.13/10.34 (* end of lemma zenon_L708_ *)
% 10.13/10.34 assert (zenon_L709_ : (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (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 (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 (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 (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((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) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (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 (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((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)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((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)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (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 (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)) = (op (e2) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (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))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (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) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (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))))) -> False).
% 10.13/10.34 do 0 intro. intros zenon_He3 zenon_Hec zenon_H12c zenon_H1dd zenon_H1de zenon_H3c zenon_Hda zenon_H128 zenon_H8c zenon_Hb0 zenon_H97 zenon_H1e2 zenon_H18a zenon_H10b zenon_H1e6 zenon_H112 zenon_Hde zenon_Hab zenon_H16f zenon_H67 zenon_Hc6 zenon_H168 zenon_Hae zenon_H11d zenon_H144 zenon_H4a zenon_H204 zenon_H152 zenon_H114 zenon_H1ef zenon_H1f zenon_H1f0 zenon_Hf5 zenon_H177 zenon_H200 zenon_H1f8 zenon_H1fb zenon_Hfd zenon_H173 zenon_H18d zenon_H1b7 zenon_H7a zenon_H58 zenon_H56 zenon_H198 zenon_H6f zenon_H159 zenon_H35 zenon_H1b1 zenon_H16b zenon_H14d zenon_H157 zenon_H64 zenon_H187 zenon_H95 zenon_H4c zenon_H42 zenon_H181 zenon_H53 zenon_He7 zenon_Hc0 zenon_Hd3 zenon_Hd2 zenon_H1af zenon_Hdd zenon_Hce zenon_H1b4 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H150 zenon_H12f zenon_Hc5 zenon_H155 zenon_H5e zenon_H145 zenon_H158 zenon_Hf8 zenon_H108 zenon_H1cb zenon_H103 zenon_H132 zenon_H86 zenon_H7e zenon_H7d zenon_H17c zenon_H90 zenon_H156 zenon_H16e zenon_H1ea zenon_H165 zenon_H17a zenon_Hbb zenon_H205 zenon_H18e zenon_H44 zenon_H1ae zenon_H195 zenon_H69 zenon_H192 zenon_Haf zenon_H191.
% 10.13/10.34 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.34 apply (zenon_L191_); trivial.
% 10.13/10.34 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.13/10.34 apply (zenon_L465_); trivial.
% 10.13/10.34 exact (zenon_H1ae zenon_Hb8).
% 10.13/10.34 (* end of lemma zenon_L709_ *)
% 10.13/10.34 assert (zenon_L710_ : (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e1)) -> ((op (e3) (e2)) = (e1)) -> False).
% 10.13/10.35 do 0 intro. intros zenon_H10b zenon_H5d zenon_Hf3.
% 10.13/10.35 cut (((op (e0) (e2)) = (e1)) = ((op (e0) (e2)) = (op (e3) (e2)))).
% 10.13/10.35 intro zenon_D_pnotp.
% 10.13/10.35 apply zenon_H10b.
% 10.13/10.35 rewrite <- zenon_D_pnotp.
% 10.13/10.35 exact zenon_H5d.
% 10.13/10.35 cut (((e1) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1da].
% 10.13/10.35 cut (((op (e0) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H134].
% 10.13/10.35 congruence.
% 10.13/10.35 apply zenon_H134. apply refl_equal.
% 10.13/10.35 apply zenon_H1da. apply sym_equal. exact zenon_Hf3.
% 10.13/10.35 (* end of lemma zenon_L710_ *)
% 10.13/10.35 assert (zenon_L711_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e3)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e0) (e3)) = (e2)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((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 (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (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 (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((e1) = (e2))) -> False).
% 10.13/10.35 do 0 intro. intros zenon_H1b1 zenon_H10b zenon_H1f0 zenon_Hbc zenon_Hf5 zenon_H192 zenon_H7e zenon_H198 zenon_H15a zenon_H47 zenon_Hab zenon_Hc8 zenon_H1e2 zenon_Hc7 zenon_H181 zenon_H12c zenon_Hde zenon_H188 zenon_H187 zenon_H5d zenon_H4c zenon_H95 zenon_H28 zenon_H97 zenon_Haf zenon_H1ae zenon_H35.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1e | zenon_intro zenon_H1b2 ].
% 10.13/10.35 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hf6 ].
% 10.13/10.35 apply (zenon_L139_); trivial.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hf7 ].
% 10.13/10.35 apply (zenon_L327_); trivial.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H83 ].
% 10.13/10.35 apply (zenon_L710_); trivial.
% 10.13/10.35 exact (zenon_H7e zenon_H83).
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1d | zenon_intro zenon_H1b3 ].
% 10.13/10.35 exact (zenon_H192 zenon_H1d).
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H77 | zenon_intro zenon_Hf2 ].
% 10.13/10.35 apply (zenon_L292_); trivial.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H34 | zenon_intro zenon_He1 ].
% 10.13/10.35 apply (zenon_L317_); trivial.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_Hb4 | zenon_intro zenon_He2 ].
% 10.13/10.35 exact (zenon_Haf zenon_Hb4).
% 10.13/10.35 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ].
% 10.13/10.35 exact (zenon_H1ae zenon_Hb8).
% 10.13/10.35 apply (zenon_L63_); trivial.
% 10.13/10.35 (* end of lemma zenon_L711_ *)
% 10.13/10.35 assert (zenon_L712_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (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 (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((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 (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (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 (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((e1) = (e2))) -> False).
% 10.13/10.35 do 0 intro. intros zenon_H42 zenon_H27 zenon_Hda zenon_Hcf zenon_H1b1 zenon_H10b zenon_H1f0 zenon_Hf5 zenon_H192 zenon_H7e zenon_H198 zenon_H15a zenon_Hab zenon_Hc8 zenon_H1e2 zenon_Hc7 zenon_H181 zenon_H12c zenon_Hde zenon_H188 zenon_H187 zenon_H5d zenon_H4c zenon_H95 zenon_H28 zenon_H97 zenon_Haf zenon_H1ae zenon_H35.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 10.13/10.35 exact (zenon_H27 zenon_H32).
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 10.13/10.35 apply (zenon_L317_); trivial.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 10.13/10.35 apply (zenon_L70_); trivial.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdb ].
% 10.13/10.35 exact (zenon_H28 zenon_H31).
% 10.13/10.35 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H6c | zenon_intro zenon_Hdc ].
% 10.13/10.35 apply (zenon_L236_); trivial.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H74 | zenon_intro zenon_Hbc ].
% 10.13/10.35 apply (zenon_L155_); trivial.
% 10.13/10.35 apply (zenon_L711_); trivial.
% 10.13/10.35 (* end of lemma zenon_L712_ *)
% 10.13/10.35 assert (zenon_L713_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (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 (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (((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)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((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 (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> False).
% 10.13/10.35 do 0 intro. intros zenon_Hf8 zenon_H1dd zenon_H64 zenon_H53 zenon_H103 zenon_Hec zenon_H159 zenon_H1cb zenon_H97 zenon_H4c zenon_H28 zenon_H1b1 zenon_Haf zenon_H1ae zenon_Hde zenon_H1e2 zenon_H181 zenon_Hc7 zenon_Hc8 zenon_Hab zenon_H198 zenon_H12c zenon_H192 zenon_H1f0 zenon_H10b zenon_Hf5 zenon_H42 zenon_H35 zenon_Hcf zenon_Hd3 zenon_H91 zenon_H8c zenon_H1b7 zenon_H188 zenon_H187 zenon_H7a zenon_Hdd zenon_H95 zenon_Hce zenon_H1ba zenon_H1bc zenon_H15a zenon_H1c0 zenon_Hbc zenon_H1c3 zenon_H27 zenon_H128 zenon_H5e zenon_H86 zenon_H7e zenon_H7d zenon_H2a zenon_H58 zenon_H90 zenon_H56 zenon_He3 zenon_H18d.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.13/10.35 exact (zenon_H56 zenon_H2c).
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.13/10.35 apply (zenon_L246_); trivial.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 10.13/10.35 exact (zenon_H27 zenon_H32).
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 10.13/10.35 apply (zenon_L317_); trivial.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 10.13/10.35 apply (zenon_L70_); trivial.
% 10.13/10.35 apply (zenon_L711_); trivial.
% 10.13/10.35 apply (zenon_L265_); trivial.
% 10.13/10.35 apply (zenon_L266_); trivial.
% 10.13/10.35 apply (zenon_L267_); trivial.
% 10.13/10.35 (* end of lemma zenon_L713_ *)
% 10.13/10.35 assert (zenon_L714_ : ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (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 (e0) (e1)) = (op (e3) (e1)))) -> (((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) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((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 (e3) (e1)) = (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) (e1)) = (op (e2) (e1)))) -> (((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) (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 (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (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 (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e1))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (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) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (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 (e0) (e2)) = (op (e1) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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))))) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((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) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (~((e1) = (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) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> False).
% 10.13/10.35 do 0 intro. intros zenon_H67 zenon_Hc6 zenon_Hde zenon_Hab zenon_H1f0 zenon_Hf5 zenon_Hae zenon_H168 zenon_H150 zenon_He3 zenon_H1b1 zenon_H1cb zenon_H159 zenon_Hec zenon_H12c zenon_Hb0 zenon_Hd3 zenon_H8c zenon_H1b7 zenon_H7a zenon_Hdd zenon_Hce zenon_H128 zenon_H58 zenon_H90 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H64 zenon_H17c zenon_H1e2 zenon_H18a zenon_H191 zenon_H188 zenon_H11d zenon_H192 zenon_H156 zenon_H1b4 zenon_H198 zenon_H1dd zenon_Hda zenon_H56 zenon_H158 zenon_H144 zenon_H6f zenon_Hf8 zenon_Hc5 zenon_H3c zenon_H155 zenon_H53 zenon_H108 zenon_H145 zenon_H86 zenon_H7e zenon_H7d zenon_H5e zenon_H2a zenon_H12f zenon_H18d zenon_H97 zenon_H187 zenon_H10b zenon_H95 zenon_H35 zenon_H4c zenon_H103 zenon_H132 zenon_H181 zenon_H42 zenon_Hd2 zenon_H1ae zenon_H157 zenon_H1ea zenon_H4a.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.13/10.35 apply (zenon_L297_); trivial.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.13/10.35 apply (zenon_L305_); trivial.
% 10.13/10.35 exact (zenon_H1ae zenon_Hb8).
% 10.13/10.35 apply (zenon_L309_); trivial.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.13/10.35 apply (zenon_L316_); trivial.
% 10.13/10.35 exact (zenon_H1ae zenon_Hb8).
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.13/10.35 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.13/10.35 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.13/10.35 exact (zenon_H56 zenon_H2c).
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.13/10.35 apply (zenon_L248_); trivial.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.13/10.35 apply (zenon_L712_); trivial.
% 10.13/10.35 apply (zenon_L87_); trivial.
% 10.13/10.35 apply (zenon_L296_); trivial.
% 10.13/10.35 apply (zenon_L306_); trivial.
% 10.13/10.35 apply (zenon_L713_); trivial.
% 10.13/10.35 apply (zenon_L44_); trivial.
% 10.13/10.35 apply (zenon_L321_); trivial.
% 10.13/10.35 exact (zenon_H1ae zenon_Hb8).
% 10.13/10.35 apply (zenon_L123_); trivial.
% 10.13/10.35 apply (zenon_L213_); trivial.
% 10.13/10.35 apply (zenon_L101_); trivial.
% 10.13/10.35 (* end of lemma zenon_L714_ *)
% 10.13/10.35 assert (zenon_L715_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e3)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((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 (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e1) = (e3))) -> False).
% 10.13/10.35 do 0 intro. intros zenon_H64 zenon_H56 zenon_H97 zenon_H28 zenon_H7e zenon_H1e6 zenon_H100 zenon_H5e zenon_Hbc zenon_Hf5 zenon_H1b1 zenon_H1f0 zenon_Hde zenon_H1f zenon_H192 zenon_He8 zenon_H191 zenon_H177 zenon_H80 zenon_H10b zenon_H114 zenon_H95 zenon_H16b zenon_Hc5 zenon_Hc8 zenon_H91 zenon_H51 zenon_H3c zenon_H152 zenon_H158 zenon_H7f zenon_Hc1 zenon_Hc0 zenon_H1ae zenon_H35 zenon_Hfd zenon_He7 zenon_H4c.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.13/10.35 exact (zenon_H56 zenon_H2c).
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.13/10.35 apply (zenon_L329_); trivial.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.13/10.35 apply (zenon_L12_); trivial.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H31 | zenon_intro zenon_H98 ].
% 10.13/10.35 exact (zenon_H28 zenon_H31).
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ].
% 10.13/10.35 apply (zenon_L365_); trivial.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H52 | zenon_intro zenon_H57 ].
% 10.13/10.35 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H68 | zenon_intro zenon_He9 ].
% 10.13/10.35 apply (zenon_L69_); trivial.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Heb | zenon_intro zenon_Hea ].
% 10.13/10.35 exact (zenon_He8 zenon_Heb).
% 10.13/10.35 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H78 | zenon_intro zenon_He5 ].
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1e | zenon_intro zenon_H1b2 ].
% 10.13/10.35 apply (zenon_L329_); trivial.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1d | zenon_intro zenon_H1b3 ].
% 10.13/10.35 exact (zenon_H192 zenon_H1d).
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H77 | zenon_intro zenon_Hf2 ].
% 10.13/10.35 apply (zenon_L22_); trivial.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H34 | zenon_intro zenon_He1 ].
% 10.13/10.35 apply (zenon_L331_); trivial.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_Hb4 | zenon_intro zenon_He2 ].
% 10.13/10.35 apply (zenon_L369_); trivial.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ].
% 10.13/10.35 exact (zenon_H1ae zenon_Hb8).
% 10.13/10.35 apply (zenon_L63_); trivial.
% 10.13/10.35 apply (zenon_L364_); trivial.
% 10.13/10.35 apply (zenon_L13_); trivial.
% 10.13/10.35 (* end of lemma zenon_L715_ *)
% 10.13/10.35 assert (zenon_L716_ : ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((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))))) -> (~((op (e0) (e3)) = (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) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (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) (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))))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((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))))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (((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)) = (e0))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (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) (e1)) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> False).
% 10.13/10.35 do 0 intro. intros zenon_H4a zenon_H156 zenon_Hc6 zenon_Hd2 zenon_Hf8 zenon_H144 zenon_H10b zenon_Hfd zenon_H1fb zenon_H128 zenon_H1f8 zenon_H155 zenon_H181 zenon_H17c zenon_H12c zenon_H187 zenon_H108 zenon_H200 zenon_H1cb zenon_H6f zenon_H56 zenon_H1b4 zenon_H27 zenon_H3c zenon_H3a zenon_Hb0 zenon_Hd3 zenon_H5e zenon_H90 zenon_H53 zenon_H18d zenon_H86 zenon_H7a zenon_H7d zenon_H8c zenon_H14d zenon_H35 zenon_H95 zenon_H44 zenon_H177 zenon_Hc0 zenon_H42 zenon_H4c zenon_Hf5 zenon_H7e zenon_H1e6 zenon_H1f0 zenon_Hda zenon_H1af zenon_H198 zenon_H1f zenon_H159 zenon_H1ea zenon_H195 zenon_H1ef zenon_H97 zenon_H64 zenon_H25 zenon_H1b1 zenon_H16b zenon_H114 zenon_H158 zenon_H152 zenon_Hc5 zenon_H1ae zenon_Hde zenon_He7 zenon_H150 zenon_H157 zenon_H192 zenon_H11d zenon_H188 zenon_H191 zenon_Hae zenon_H168.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.13/10.35 apply (zenon_L297_); trivial.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.13/10.35 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.13/10.35 apply (zenon_L361_); trivial.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.13/10.35 exact (zenon_H25 zenon_H2a).
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.13/10.35 apply (zenon_L363_); trivial.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.13/10.35 apply (zenon_L715_); trivial.
% 10.13/10.35 apply (zenon_L24_); trivial.
% 10.13/10.35 apply (zenon_L252_); trivial.
% 10.13/10.35 apply (zenon_L360_); trivial.
% 10.13/10.35 apply (zenon_L354_); trivial.
% 10.13/10.35 exact (zenon_H1ae zenon_Hb8).
% 10.13/10.35 apply (zenon_L321_); trivial.
% 10.13/10.35 apply (zenon_L373_); trivial.
% 10.13/10.35 apply (zenon_L314_); trivial.
% 10.13/10.35 apply (zenon_L375_); trivial.
% 10.13/10.35 (* end of lemma zenon_L716_ *)
% 10.13/10.35 assert (zenon_L717_ : ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e3)) -> (~((e1) = (e3))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (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 (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 (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> False).
% 10.13/10.35 do 0 intro. intros zenon_H18d zenon_He3 zenon_H56 zenon_Hf5 zenon_H7e zenon_H100 zenon_H1e6 zenon_H1f0 zenon_Hbc zenon_H4c zenon_H5e zenon_H51 zenon_H97 zenon_H1b1 zenon_H1f zenon_Hc0 zenon_H16b zenon_H10b zenon_H114 zenon_H95 zenon_H35 zenon_H158 zenon_H152 zenon_H3c zenon_H91 zenon_Hc8 zenon_Hc5 zenon_H7f zenon_H177 zenon_H1ae zenon_Hde zenon_Hfd zenon_He8 zenon_H191 zenon_Hc1 zenon_H192 zenon_He7 zenon_H28 zenon_H64.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.13/10.35 apply (zenon_L715_); trivial.
% 10.13/10.35 apply (zenon_L266_); trivial.
% 10.13/10.35 (* end of lemma zenon_L717_ *)
% 10.13/10.35 assert (zenon_L718_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> ((op (e2) (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 (e1) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> False).
% 10.13/10.35 do 0 intro. intros zenon_H8c zenon_H51 zenon_H1cb zenon_H44 zenon_H5e zenon_H8a zenon_H1b7 zenon_H7a zenon_H9b zenon_H187 zenon_H188.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H43 | zenon_intro zenon_H8e ].
% 10.13/10.35 apply (zenon_L343_); trivial.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H87 | zenon_intro zenon_H8f ].
% 10.13/10.35 apply (zenon_L92_); trivial.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H7b ].
% 10.13/10.35 apply (zenon_L27_); trivial.
% 10.13/10.35 apply (zenon_L244_); trivial.
% 10.13/10.35 (* end of lemma zenon_L718_ *)
% 10.13/10.35 assert (zenon_L719_ : (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((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 (e2) (e2)) = (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 (e0) (e3)))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> False).
% 10.13/10.35 do 0 intro. intros zenon_H90 zenon_H17c zenon_Hc8 zenon_H4c zenon_H73 zenon_H53 zenon_H12c zenon_H91 zenon_H8c zenon_H51 zenon_H1cb zenon_H44 zenon_H5e zenon_H1b7 zenon_H7a zenon_H9b zenon_H187 zenon_H188.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H76 | zenon_intro zenon_H92 ].
% 10.13/10.35 apply (zenon_L165_); trivial.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H77 | zenon_intro zenon_H93 ].
% 10.13/10.35 apply (zenon_L351_); trivial.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H94 | zenon_intro zenon_H8a ].
% 10.13/10.35 exact (zenon_H91 zenon_H94).
% 10.13/10.35 apply (zenon_L718_); trivial.
% 10.13/10.35 (* end of lemma zenon_L719_ *)
% 10.13/10.35 assert (zenon_L720_ : (((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)) = (e0)) -> (~((op (e2) (e2)) = (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 (e0) (e3)))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> False).
% 10.13/10.35 do 0 intro. intros zenon_H90 zenon_H15a zenon_H1bc zenon_H78 zenon_H91 zenon_H8c zenon_H51 zenon_H1cb zenon_H44 zenon_H5e zenon_H1b7 zenon_H7a zenon_H9b zenon_H187 zenon_H188.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H76 | zenon_intro zenon_H92 ].
% 10.13/10.35 apply (zenon_L217_); trivial.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H77 | zenon_intro zenon_H93 ].
% 10.13/10.35 apply (zenon_L22_); trivial.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H94 | zenon_intro zenon_H8a ].
% 10.13/10.35 exact (zenon_H91 zenon_H94).
% 10.13/10.35 apply (zenon_L718_); trivial.
% 10.13/10.35 (* end of lemma zenon_L720_ *)
% 10.13/10.35 assert (zenon_L721_ : (((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)) = (e3))) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e0)) -> False).
% 10.13/10.35 do 0 intro. intros zenon_H12c zenon_H1c0 zenon_Hbc zenon_H4c zenon_H77 zenon_Hc8 zenon_H53 zenon_H89.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H74 | zenon_intro zenon_H12d ].
% 10.13/10.35 apply (zenon_L219_); trivial.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H12e ].
% 10.13/10.35 apply (zenon_L48_); trivial.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hcd | zenon_intro zenon_H11f ].
% 10.13/10.35 exact (zenon_Hc8 zenon_Hcd).
% 10.13/10.35 apply (zenon_L96_); trivial.
% 10.13/10.35 (* end of lemma zenon_L721_ *)
% 10.13/10.35 assert (zenon_L722_ : (((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)))) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((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 (e2) (e2)) = (e1))) -> ((op (e2) (e3)) = (e0)) -> (~((e0) = (e1))) -> False).
% 10.13/10.35 do 0 intro. intros zenon_H90 zenon_H15a zenon_H1bc zenon_H53 zenon_Hc8 zenon_H4c zenon_Hbc zenon_H1c0 zenon_H12c zenon_H91 zenon_H89 zenon_H5e.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H76 | zenon_intro zenon_H92 ].
% 10.13/10.35 apply (zenon_L217_); trivial.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H77 | zenon_intro zenon_H93 ].
% 10.13/10.35 apply (zenon_L721_); trivial.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H94 | zenon_intro zenon_H8a ].
% 10.13/10.35 exact (zenon_H91 zenon_H94).
% 10.13/10.35 apply (zenon_L27_); trivial.
% 10.13/10.35 (* end of lemma zenon_L722_ *)
% 10.13/10.35 assert (zenon_L723_ : (((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 (e2) (e2)))) -> ((op (e2) (e2)) = (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)) -> (~((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))))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e0))) -> (((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)))) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((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 (e2) (e2)) = (e1))) -> (~((e0) = (e1))) -> False).
% 10.13/10.35 do 0 intro. intros zenon_Hae zenon_H35 zenon_Haf zenon_H155 zenon_H3a zenon_Hb0 zenon_H17c zenon_H188 zenon_H187 zenon_H7a zenon_H1b7 zenon_H44 zenon_H1cb zenon_H51 zenon_H8c zenon_Hb1 zenon_H90 zenon_H15a zenon_H1bc zenon_H53 zenon_Hc8 zenon_H4c zenon_Hbc zenon_H1c0 zenon_H12c zenon_H91 zenon_H5e.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6a | zenon_intro zenon_Hb2 ].
% 10.13/10.35 apply (zenon_L238_); trivial.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb3 ].
% 10.13/10.35 exact (zenon_Haf zenon_Hb4).
% 10.13/10.35 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H6e | zenon_intro zenon_H9b ].
% 10.13/10.35 apply (zenon_L223_); trivial.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hb5 ].
% 10.13/10.35 apply (zenon_L719_); trivial.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H78 | zenon_intro zenon_Hb6 ].
% 10.13/10.35 apply (zenon_L720_); trivial.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H89 ].
% 10.13/10.35 exact (zenon_Hb1 zenon_Hb7).
% 10.13/10.35 apply (zenon_L722_); trivial.
% 10.13/10.35 (* end of lemma zenon_L723_ *)
% 10.13/10.35 assert (zenon_L724_ : (((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 (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 10.13/10.35 do 0 intro. intros zenon_Hae zenon_H35 zenon_H15a zenon_Haf zenon_H155 zenon_H3a zenon_Hd0 zenon_H17c.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6a | zenon_intro zenon_Hb2 ].
% 10.13/10.35 apply (zenon_L238_); trivial.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb3 ].
% 10.13/10.35 exact (zenon_Haf zenon_Hb4).
% 10.13/10.35 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H6e | zenon_intro zenon_H9b ].
% 10.13/10.35 apply (zenon_L223_); trivial.
% 10.13/10.35 apply (zenon_L162_); trivial.
% 10.13/10.35 (* end of lemma zenon_L724_ *)
% 10.13/10.35 assert (zenon_L725_ : ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (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 (e1) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e1))) -> (((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) = (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)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (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 (e1) (e0)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (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 (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> False).
% 10.13/10.35 do 0 intro. intros zenon_H1ea zenon_H157 zenon_H1ae zenon_H150 zenon_H18d zenon_H86 zenon_H56 zenon_Hda zenon_H1c0 zenon_H35 zenon_H155 zenon_H3a zenon_Hb0 zenon_Hd3 zenon_H1bc zenon_H5e zenon_H12c zenon_H188 zenon_H17c zenon_H53 zenon_H8c zenon_H7a zenon_H187 zenon_H1b7 zenon_H44 zenon_H51 zenon_H1cb zenon_H90 zenon_Hae zenon_H15a zenon_H4c zenon_H28 zenon_H7d zenon_H64 zenon_H1f8 zenon_H1e6 zenon_H159 zenon_H6f zenon_Hf8 zenon_Hd2 zenon_Hc6 zenon_H156.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.13/10.35 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.13/10.35 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.13/10.35 exact (zenon_H56 zenon_H2c).
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.13/10.35 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdb ].
% 10.13/10.35 exact (zenon_H28 zenon_H31).
% 10.13/10.35 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H6c | zenon_intro zenon_Hdc ].
% 10.13/10.35 apply (zenon_L236_); trivial.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H74 | zenon_intro zenon_Hbc ].
% 10.13/10.35 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6a | zenon_intro zenon_Hb2 ].
% 10.13/10.35 apply (zenon_L238_); trivial.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb3 ].
% 10.13/10.35 exact (zenon_Haf zenon_Hb4).
% 10.13/10.35 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H6e | zenon_intro zenon_H9b ].
% 10.13/10.35 apply (zenon_L223_); trivial.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hb5 ].
% 10.13/10.35 apply (zenon_L719_); trivial.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H78 | zenon_intro zenon_Hb6 ].
% 10.13/10.35 apply (zenon_L720_); trivial.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H89 ].
% 10.13/10.35 exact (zenon_Hb1 zenon_Hb7).
% 10.13/10.35 apply (zenon_L250_); trivial.
% 10.13/10.35 apply (zenon_L723_); trivial.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.13/10.35 apply (zenon_L12_); trivial.
% 10.13/10.35 apply (zenon_L87_); trivial.
% 10.13/10.35 apply (zenon_L252_); trivial.
% 10.13/10.35 apply (zenon_L490_); trivial.
% 10.13/10.35 apply (zenon_L723_); trivial.
% 10.13/10.35 apply (zenon_L724_); trivial.
% 10.13/10.35 exact (zenon_H1ae zenon_Hb8).
% 10.13/10.35 apply (zenon_L321_); trivial.
% 10.13/10.35 apply (zenon_L123_); trivial.
% 10.13/10.35 (* end of lemma zenon_L725_ *)
% 10.13/10.35 assert (zenon_L726_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((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) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((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)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((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) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e1))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (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 (e2) (e2)) = (e2)))\/((op (e2) (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) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((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))))) -> (~((e1) = (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 (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((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) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((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 (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e3)) = (op (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 (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 10.13/10.35 do 0 intro. intros zenon_H173 zenon_H103 zenon_H18a zenon_H1e2 zenon_H1c3 zenon_H1ba zenon_H58 zenon_Hce zenon_Hdd zenon_Hec zenon_Hab zenon_H67 zenon_H1b7 zenon_H1bc zenon_H1c0 zenon_He3 zenon_H1dd zenon_H168 zenon_Hae zenon_H191 zenon_H11d zenon_H192 zenon_H157 zenon_H150 zenon_He7 zenon_Hde zenon_H1ae zenon_Hc5 zenon_H152 zenon_H158 zenon_H114 zenon_H16b zenon_H1b1 zenon_H64 zenon_H97 zenon_H1ef zenon_H195 zenon_H1ea zenon_H159 zenon_H1f zenon_H198 zenon_H1af zenon_Hda zenon_H1f0 zenon_H1e6 zenon_H7e zenon_Hf5 zenon_H4c zenon_H42 zenon_Hc0 zenon_H177 zenon_H44 zenon_H95 zenon_H35 zenon_H14d zenon_H8c zenon_H7d zenon_H7a zenon_H18d zenon_H53 zenon_H90 zenon_H5e zenon_Hd3 zenon_Hb0 zenon_H3c zenon_H1b4 zenon_H56 zenon_H6f zenon_H1cb zenon_H200 zenon_H108 zenon_H187 zenon_H12c zenon_H17c zenon_H181 zenon_H155 zenon_H1f8 zenon_H128 zenon_H1fb zenon_Hfd zenon_H10b zenon_H144 zenon_Hf8 zenon_Hd2 zenon_Hc6 zenon_H156 zenon_H4a zenon_H132 zenon_H145 zenon_H12f zenon_H204 zenon_H188 zenon_H86.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.13/10.35 apply (zenon_L714_); trivial.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.13/10.35 exact (zenon_H192 zenon_H1d).
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.13/10.35 apply (zenon_L716_); trivial.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.13/10.35 apply (zenon_L297_); trivial.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.13/10.35 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.13/10.35 apply (zenon_L377_); trivial.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.13/10.35 apply (zenon_L717_); trivial.
% 10.13/10.35 apply (zenon_L267_); trivial.
% 10.13/10.35 apply (zenon_L354_); trivial.
% 10.13/10.35 exact (zenon_H1ae zenon_Hb8).
% 10.13/10.35 apply (zenon_L321_); trivial.
% 10.13/10.35 apply (zenon_L373_); trivial.
% 10.13/10.35 apply (zenon_L725_); trivial.
% 10.13/10.35 apply (zenon_L375_); trivial.
% 10.13/10.35 apply (zenon_L315_); trivial.
% 10.13/10.35 apply (zenon_L252_); trivial.
% 10.13/10.35 (* end of lemma zenon_L726_ *)
% 10.13/10.35 assert (zenon_L727_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((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) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((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)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((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) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e1))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (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 (e2) (e2)) = (e2)))\/((op (e2) (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) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((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))))) -> (~((e1) = (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 (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((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) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((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 (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e3)) = (op (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 (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 10.13/10.35 do 0 intro. intros zenon_H1de zenon_H69 zenon_Hc1 zenon_H100 zenon_H173 zenon_H103 zenon_H18a zenon_H1e2 zenon_H1c3 zenon_H1ba zenon_H58 zenon_Hce zenon_Hdd zenon_Hec zenon_Hab zenon_H67 zenon_H1b7 zenon_H1bc zenon_H1c0 zenon_He3 zenon_H1dd zenon_H168 zenon_Hae zenon_H191 zenon_H11d zenon_H192 zenon_H157 zenon_H150 zenon_He7 zenon_Hde zenon_H1ae zenon_Hc5 zenon_H152 zenon_H158 zenon_H114 zenon_H16b zenon_H1b1 zenon_H64 zenon_H97 zenon_H1ef zenon_H195 zenon_H1ea zenon_H159 zenon_H1f zenon_H198 zenon_H1af zenon_Hda zenon_H1f0 zenon_H1e6 zenon_H7e zenon_Hf5 zenon_H4c zenon_H42 zenon_Hc0 zenon_H177 zenon_H44 zenon_H95 zenon_H35 zenon_H14d zenon_H8c zenon_H7d zenon_H7a zenon_H18d zenon_H53 zenon_H90 zenon_H5e zenon_Hd3 zenon_Hb0 zenon_H3c zenon_H1b4 zenon_H56 zenon_H6f zenon_H1cb zenon_H200 zenon_H108 zenon_H187 zenon_H12c zenon_H17c zenon_H181 zenon_H155 zenon_H1f8 zenon_H128 zenon_H1fb zenon_Hfd zenon_H10b zenon_H144 zenon_Hf8 zenon_Hd2 zenon_Hc6 zenon_H156 zenon_H4a zenon_H132 zenon_H145 zenon_H12f zenon_H204 zenon_H86.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H6c | zenon_intro zenon_H1df ].
% 10.13/10.35 apply (zenon_L18_); trivial.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H1e0 ].
% 10.13/10.35 exact (zenon_Hc1 zenon_Hc4).
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H161 | zenon_intro zenon_H188 ].
% 10.13/10.35 apply (zenon_L522_); trivial.
% 10.13/10.35 apply (zenon_L726_); trivial.
% 10.13/10.35 (* end of lemma zenon_L727_ *)
% 10.13/10.35 assert (zenon_L728_ : ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> False).
% 10.13/10.35 do 0 intro. intros zenon_H157 zenon_H1ae zenon_H56 zenon_Hda zenon_H84 zenon_He3 zenon_H64 zenon_H187 zenon_H51 zenon_H5e zenon_Hd3 zenon_H17c zenon_H9a zenon_H90 zenon_H4c zenon_Hb1 zenon_Hb0 zenon_H69 zenon_H53 zenon_H28.
% 10.13/10.35 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.13/10.35 apply (zenon_L487_); trivial.
% 10.13/10.35 exact (zenon_H1ae zenon_Hb8).
% 10.13/10.35 (* end of lemma zenon_L728_ *)
% 10.13/10.35 assert (zenon_L729_ : ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (e2))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e0) (e0)) = (e1))) -> (((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) (e2)) = (e0))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((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 (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 10.13/10.36 do 0 intro. intros zenon_H18d zenon_He3 zenon_H1ae zenon_H157 zenon_H56 zenon_H1b4 zenon_Hb0 zenon_Hb1 zenon_H90 zenon_H9a zenon_H17c zenon_H91 zenon_Hd3 zenon_H5e zenon_H51 zenon_H187 zenon_H64 zenon_H28 zenon_H53 zenon_H4c zenon_Hf5 zenon_H7e zenon_H100 zenon_H1e6 zenon_H1f0 zenon_Hda zenon_H1af zenon_H198 zenon_H195 zenon_H69 zenon_H192 zenon_H191 zenon_H159 zenon_H1ea zenon_H7d zenon_H7f zenon_H7a zenon_H8d.
% 10.13/10.36 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.13/10.36 apply (zenon_L486_); trivial.
% 10.13/10.36 apply (zenon_L728_); trivial.
% 10.13/10.36 (* end of lemma zenon_L729_ *)
% 10.13/10.36 assert (zenon_L730_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (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) (e2)) = (op (e2) (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) (e0)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((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)) = (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 (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((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 (e0) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (e2))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e1))) -> (~((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)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((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)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 10.13/10.36 do 0 intro. intros zenon_Hf8 zenon_H144 zenon_H10b zenon_Hfd zenon_H1f8 zenon_H155 zenon_H108 zenon_H1cb zenon_H25 zenon_H64 zenon_H3c zenon_H3a zenon_H97 zenon_H95 zenon_H4c zenon_H53 zenon_H28 zenon_H42 zenon_H198 zenon_H9a zenon_Hdd zenon_H1f0 zenon_H1e6 zenon_H100 zenon_H7e zenon_Hf5 zenon_H35 zenon_H69 zenon_H44 zenon_H27 zenon_Hd3 zenon_H91 zenon_H17c zenon_H90 zenon_H1b4 zenon_H56 zenon_H18d zenon_He3 zenon_H1ae zenon_H157 zenon_Hb0 zenon_Hb1 zenon_H5e zenon_H187 zenon_Hda zenon_H1af zenon_H195 zenon_H192 zenon_H191 zenon_H159 zenon_H1ea zenon_H7d zenon_H7a zenon_H8d zenon_H6f zenon_H86 zenon_H18a zenon_H200.
% 10.13/10.36 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.13/10.36 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.13/10.36 exact (zenon_H25 zenon_H2a).
% 10.13/10.36 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.13/10.36 apply (zenon_L615_); trivial.
% 10.13/10.36 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.13/10.36 apply (zenon_L729_); trivial.
% 10.13/10.36 apply (zenon_L531_); trivial.
% 10.13/10.36 apply (zenon_L616_); trivial.
% 10.13/10.36 (* end of lemma zenon_L730_ *)
% 10.13/10.36 assert (zenon_L731_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((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)) = (e1))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((e0) = (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 (e0) (e2)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (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) (e0)) = (e1))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> False).
% 10.13/10.36 do 0 intro. intros zenon_Hf8 zenon_H6f zenon_H155 zenon_H3a zenon_H1f8 zenon_H8d zenon_H7a zenon_H7d zenon_H1ea zenon_H159 zenon_H191 zenon_H192 zenon_H69 zenon_H195 zenon_H198 zenon_H1af zenon_Hda zenon_H1f0 zenon_H1e6 zenon_H100 zenon_H7e zenon_Hf5 zenon_H4c zenon_H53 zenon_H28 zenon_H64 zenon_H187 zenon_H51 zenon_H5e zenon_Hd3 zenon_H91 zenon_H17c zenon_H9a zenon_H90 zenon_Hb1 zenon_Hb0 zenon_H1b4 zenon_H56 zenon_H157 zenon_H1ae zenon_He3 zenon_H18d.
% 10.13/10.36 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.13/10.36 apply (zenon_L729_); trivial.
% 10.13/10.36 apply (zenon_L491_); trivial.
% 10.13/10.36 (* end of lemma zenon_L731_ *)
% 10.13/10.36 assert (zenon_L732_ : ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (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))) -> False).
% 10.13/10.36 do 0 intro. intros zenon_H157 zenon_H1ae zenon_Hd2 zenon_Hcf zenon_Hce zenon_H3c zenon_H51 zenon_Hc5 zenon_Hc6 zenon_H158.
% 10.13/10.36 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.13/10.36 apply (zenon_L435_); trivial.
% 10.13/10.36 exact (zenon_H1ae zenon_Hb8).
% 10.13/10.36 (* end of lemma zenon_L732_ *)
% 10.13/10.36 assert (zenon_L733_ : (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (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 (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 (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 (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((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) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (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 (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((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)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((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)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (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 (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)) = (op (e2) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (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))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (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) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> ((op (e0) (e2)) = (e0)) -> False).
% 10.13/10.36 do 0 intro. intros zenon_He3 zenon_Hec zenon_H12c zenon_H1dd zenon_H1de zenon_H3c zenon_Hda zenon_H128 zenon_H8c zenon_Hb0 zenon_H97 zenon_H1e2 zenon_H18a zenon_H10b zenon_H1e6 zenon_H112 zenon_Hde zenon_Hab zenon_H16f zenon_H67 zenon_Hc6 zenon_H168 zenon_Hae zenon_H11d zenon_H144 zenon_H4a zenon_H204 zenon_H152 zenon_H114 zenon_H1ef zenon_H1f zenon_H1f0 zenon_Hf5 zenon_H177 zenon_H200 zenon_H1f8 zenon_H1fb zenon_Hfd zenon_H173 zenon_H18d zenon_H1b7 zenon_H7a zenon_H58 zenon_H56 zenon_H198 zenon_H6f zenon_H159 zenon_H35 zenon_H1b1 zenon_H16b zenon_H14d zenon_H157 zenon_H64 zenon_H187 zenon_H95 zenon_H4c zenon_H42 zenon_H181 zenon_H53 zenon_He7 zenon_Hc0 zenon_Hd3 zenon_Hd2 zenon_H1af zenon_Hdd zenon_Hce zenon_H1b4 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H150 zenon_H12f zenon_Hc5 zenon_H155 zenon_H5e zenon_H145 zenon_H158 zenon_Hf8 zenon_H108 zenon_H1cb zenon_H103 zenon_H132 zenon_H86 zenon_H7e zenon_H7d zenon_H17c zenon_H90 zenon_H156 zenon_H16e zenon_H1ea zenon_H165 zenon_H17a zenon_Hbb zenon_H205 zenon_H18e zenon_H44 zenon_H1ae zenon_H195 zenon_H69 zenon_H192 zenon_H191 zenon_H3a zenon_H51.
% 10.13/10.36 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.13/10.36 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.13/10.36 apply (zenon_L709_); trivial.
% 10.13/10.36 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.36 apply (zenon_L727_); trivial.
% 10.13/10.36 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.13/10.36 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.13/10.36 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.13/10.36 apply (zenon_L731_); trivial.
% 10.13/10.36 apply (zenon_L493_); trivial.
% 10.13/10.36 exact (zenon_H1ae zenon_Hb8).
% 10.13/10.36 apply (zenon_L732_); trivial.
% 10.13/10.36 apply (zenon_L343_); trivial.
% 10.13/10.36 (* end of lemma zenon_L733_ *)
% 10.13/10.36 assert (zenon_L734_ : (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e1) (e2)) = (e1)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> ((op (e2) (e2)) = (e2)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e2) (e1)) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (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) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((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 (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (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 (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((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 (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (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))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((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)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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 (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 (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (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) (e0)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((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 (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((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) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (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) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 10.13/10.36 do 0 intro. intros zenon_H25 zenon_H27 zenon_H28 zenon_H100 zenon_H9a zenon_H91 zenon_H3a zenon_H191 zenon_H192 zenon_H69 zenon_H195 zenon_H1ae zenon_H44 zenon_H18e zenon_H205 zenon_Hbb zenon_H17a zenon_H165 zenon_H1ea zenon_H16e zenon_H156 zenon_H90 zenon_H17c zenon_H86 zenon_H132 zenon_H103 zenon_H1cb zenon_H108 zenon_Hf8 zenon_H158 zenon_H145 zenon_H5e zenon_H155 zenon_Hc5 zenon_H12f zenon_H150 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H1b4 zenon_Hce zenon_Hdd zenon_H1af zenon_Hd2 zenon_Hd3 zenon_Hc0 zenon_He7 zenon_H53 zenon_H181 zenon_H42 zenon_H4c zenon_H95 zenon_H187 zenon_H64 zenon_H157 zenon_H14d zenon_H16b zenon_H1b1 zenon_H35 zenon_H159 zenon_H6f zenon_H198 zenon_H56 zenon_H58 zenon_H1b7 zenon_H18d zenon_H173 zenon_Hfd zenon_H1fb zenon_H1f8 zenon_H200 zenon_H177 zenon_Hf5 zenon_H1f0 zenon_H1f zenon_H1ef zenon_H114 zenon_H152 zenon_H204 zenon_H4a zenon_H144 zenon_H11d zenon_Hae zenon_H168 zenon_Hc6 zenon_H67 zenon_H16f zenon_Hab zenon_Hde zenon_H112 zenon_H1e6 zenon_H10b zenon_H18a zenon_H1e2 zenon_H97 zenon_Hb0 zenon_H8c zenon_H128 zenon_Hda zenon_H3c zenon_H1de zenon_H1dd zenon_H12c zenon_Hec zenon_He3 zenon_H7d zenon_H7a zenon_H7e zenon_H7f zenon_H80.
% 10.13/10.36 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.13/10.36 exact (zenon_H25 zenon_H2a).
% 10.13/10.36 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.13/10.36 apply (zenon_L615_); trivial.
% 10.13/10.36 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.13/10.36 apply (zenon_L733_); trivial.
% 10.13/10.36 apply (zenon_L24_); trivial.
% 10.13/10.36 (* end of lemma zenon_L734_ *)
% 10.13/10.36 assert (zenon_L735_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (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) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((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 (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (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 (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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 (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (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) (e0)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((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) (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 (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((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))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (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) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e0))) -> ((op (e3) (e0)) = (e3)) -> False).
% 10.13/10.36 do 0 intro. intros zenon_H191 zenon_H192 zenon_H195 zenon_H1ae zenon_H18e zenon_H205 zenon_Hbb zenon_H17a zenon_H165 zenon_H1ea zenon_H16e zenon_H156 zenon_H7d zenon_H86 zenon_H132 zenon_H103 zenon_H1cb zenon_H108 zenon_Hf8 zenon_H158 zenon_H145 zenon_H5e zenon_H155 zenon_Hc5 zenon_H12f zenon_H150 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_Hce zenon_H1af zenon_Hd2 zenon_Hc0 zenon_He7 zenon_H181 zenon_H187 zenon_H157 zenon_H14d zenon_H16b zenon_H1b1 zenon_H159 zenon_H6f zenon_H58 zenon_H7a zenon_H1b7 zenon_H18d zenon_H173 zenon_Hfd zenon_H1fb zenon_H1f8 zenon_H200 zenon_H177 zenon_H1f zenon_H1ef zenon_H114 zenon_H152 zenon_H204 zenon_H4a zenon_H144 zenon_H11d zenon_Hae zenon_H168 zenon_Hc6 zenon_H67 zenon_H16f zenon_Hab zenon_Hde zenon_H112 zenon_H10b zenon_H18a zenon_H1e2 zenon_Hb0 zenon_H8c zenon_H128 zenon_Hda zenon_H1de zenon_H1dd zenon_H12c zenon_Hec zenon_He3 zenon_H56 zenon_H1b4 zenon_H90 zenon_H17c zenon_H91 zenon_Hd3 zenon_H27 zenon_H44 zenon_H69 zenon_H35 zenon_Hf5 zenon_H7e zenon_H100 zenon_H1e6 zenon_H1f0 zenon_Hdd zenon_H9a zenon_H198 zenon_H42 zenon_H28 zenon_H53 zenon_H4c zenon_H95 zenon_H97 zenon_H3a zenon_H3c zenon_H64 zenon_H25 zenon_Hbc.
% 10.13/10.36 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.13/10.36 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.13/10.36 apply (zenon_L734_); trivial.
% 10.13/10.36 apply (zenon_L266_); trivial.
% 10.13/10.36 apply (zenon_L267_); trivial.
% 10.13/10.36 (* end of lemma zenon_L735_ *)
% 10.13/10.36 assert (zenon_L736_ : ((op (e2) (e2)) = (e2)) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e0)) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e2) (e1)) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (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) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((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 (e1) (e3)) = (op (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 (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (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 (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((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 (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (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))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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 (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 (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (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) (e0)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((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 (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((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) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 10.13/10.36 do 0 intro. intros zenon_H3a zenon_H43 zenon_H27 zenon_H191 zenon_H192 zenon_H69 zenon_H195 zenon_H1ae zenon_H44 zenon_H18e zenon_H205 zenon_Hbb zenon_H17a zenon_H165 zenon_H1ea zenon_H16e zenon_H156 zenon_H90 zenon_H17c zenon_H7d zenon_H7e zenon_H86 zenon_H132 zenon_H103 zenon_H1cb zenon_H108 zenon_Hf8 zenon_H158 zenon_H145 zenon_H5e zenon_H155 zenon_Hc5 zenon_H12f zenon_H150 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H1b4 zenon_Hce zenon_Hdd zenon_H1af zenon_Hd2 zenon_Hd3 zenon_Hc0 zenon_He7 zenon_H53 zenon_H181 zenon_H42 zenon_H4c zenon_H95 zenon_H187 zenon_H64 zenon_H157 zenon_H14d zenon_H16b zenon_H1b1 zenon_H35 zenon_H159 zenon_H6f zenon_H198 zenon_H56 zenon_H58 zenon_H7a zenon_H1b7 zenon_H18d zenon_H173 zenon_Hfd zenon_H1fb zenon_H1f8 zenon_H200 zenon_H177 zenon_Hf5 zenon_H1f0 zenon_H1f zenon_H1ef zenon_H114 zenon_H152 zenon_H204 zenon_H4a zenon_H144 zenon_H11d zenon_Hae zenon_H168 zenon_Hc6 zenon_H67 zenon_H16f zenon_Hab zenon_Hde zenon_H112 zenon_H1e6 zenon_H10b zenon_H18a zenon_H1e2 zenon_H97 zenon_Hb0 zenon_H8c zenon_H128 zenon_Hda zenon_H3c zenon_H1de zenon_H1dd zenon_H12c zenon_Hec zenon_He3.
% 10.13/10.36 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.13/10.36 apply (zenon_L709_); trivial.
% 10.13/10.36 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.36 apply (zenon_L727_); trivial.
% 10.13/10.36 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.13/10.36 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.13/10.36 apply (zenon_L532_); trivial.
% 10.13/10.36 exact (zenon_H1ae zenon_Hb8).
% 10.13/10.36 apply (zenon_L321_); trivial.
% 10.13/10.36 (* end of lemma zenon_L736_ *)
% 10.13/10.36 assert (zenon_L737_ : ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e1)) = (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) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> False).
% 10.13/10.36 do 0 intro. intros zenon_H157 zenon_H1ae zenon_H1b4 zenon_H90 zenon_H17c zenon_Hd3 zenon_H192 zenon_H12c zenon_H84 zenon_H205 zenon_H4c zenon_H95 zenon_Hbb zenon_H1b1 zenon_Hcf zenon_H35 zenon_H9a zenon_H198 zenon_H56 zenon_Hce zenon_Hd2.
% 10.13/10.36 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.13/10.36 apply (zenon_L397_); trivial.
% 10.13/10.36 exact (zenon_H1ae zenon_Hb8).
% 10.13/10.36 (* end of lemma zenon_L737_ *)
% 10.13/10.36 assert (zenon_L738_ : (~((op (e0) (e0)) = (e2))) -> ((op (e3) (e3)) = (e3)) -> ((op (e0) (e3)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e2) (e1)) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (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) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((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 (e1) (e3)) = (op (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 (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (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 (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((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 (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (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))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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 (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 (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (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) (e0)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((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 (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((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) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> False).
% 10.13/10.36 do 0 intro. intros zenon_H27 zenon_H84 zenon_H43 zenon_H191 zenon_H192 zenon_H69 zenon_H195 zenon_H1ae zenon_H44 zenon_H18e zenon_H205 zenon_Hbb zenon_H17a zenon_H165 zenon_H1ea zenon_H16e zenon_H156 zenon_H90 zenon_H17c zenon_H7d zenon_H7e zenon_H86 zenon_H132 zenon_H103 zenon_H1cb zenon_H108 zenon_Hf8 zenon_H158 zenon_H145 zenon_H5e zenon_H155 zenon_Hc5 zenon_H12f zenon_H150 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H1b4 zenon_Hce zenon_Hdd zenon_H1af zenon_Hd2 zenon_Hd3 zenon_Hc0 zenon_He7 zenon_H53 zenon_H181 zenon_H42 zenon_H4c zenon_H95 zenon_H187 zenon_H64 zenon_H157 zenon_H14d zenon_H16b zenon_H1b1 zenon_H35 zenon_H159 zenon_H6f zenon_H198 zenon_H56 zenon_H58 zenon_H7a zenon_H1b7 zenon_H18d zenon_H173 zenon_Hfd zenon_H1fb zenon_H1f8 zenon_H200 zenon_H177 zenon_Hf5 zenon_H1f0 zenon_H1f zenon_H1ef zenon_H114 zenon_H152 zenon_H204 zenon_H4a zenon_H144 zenon_H11d zenon_Hae zenon_H168 zenon_Hc6 zenon_H67 zenon_H16f zenon_Hab zenon_Hde zenon_H112 zenon_H1e6 zenon_H10b zenon_H18a zenon_H1e2 zenon_H97 zenon_Hb0 zenon_H8c zenon_H128 zenon_Hda zenon_H3c zenon_H1de zenon_H1dd zenon_H12c zenon_Hec zenon_He3.
% 10.13/10.36 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.13/10.36 apply (zenon_L709_); trivial.
% 10.13/10.36 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.36 apply (zenon_L727_); trivial.
% 10.13/10.36 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.13/10.36 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.13/10.36 apply (zenon_L533_); trivial.
% 10.13/10.36 exact (zenon_H1ae zenon_Hb8).
% 10.13/10.36 apply (zenon_L737_); trivial.
% 10.13/10.36 (* end of lemma zenon_L738_ *)
% 10.13/10.36 assert (zenon_L739_ : ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((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 (e1) (e1)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((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 (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e2) (e1)) = (e2))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> False).
% 10.13/10.36 do 0 intro. intros zenon_H156 zenon_Hd2 zenon_Hce zenon_H198 zenon_H35 zenon_H1b1 zenon_Hbb zenon_H95 zenon_H205 zenon_H12c zenon_H192 zenon_H1b4 zenon_H28 zenon_H53 zenon_H69 zenon_Hb0 zenon_H4c zenon_H90 zenon_H9a zenon_H17c zenon_Hd3 zenon_H5e zenon_H51 zenon_H187 zenon_H64 zenon_He3 zenon_H84 zenon_Hda zenon_H56 zenon_H1ae zenon_H157.
% 10.13/10.36 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.13/10.36 apply (zenon_L728_); trivial.
% 10.13/10.36 apply (zenon_L737_); trivial.
% 10.13/10.36 (* end of lemma zenon_L739_ *)
% 10.13/10.36 assert (zenon_L740_ : ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (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) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (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))))) -> False).
% 10.13/10.36 do 0 intro. intros zenon_H1af zenon_H157 zenon_H1ae zenon_H56 zenon_Hda zenon_H84 zenon_He3 zenon_H64 zenon_H187 zenon_H51 zenon_H5e zenon_Hd3 zenon_H17c zenon_H90 zenon_H4c zenon_Hb0 zenon_H53 zenon_H28 zenon_H1b4 zenon_H12c zenon_H205 zenon_H95 zenon_Hbb zenon_H1b1 zenon_H35 zenon_H198 zenon_Hce zenon_Hd2 zenon_H156 zenon_H195 zenon_H69 zenon_H192 zenon_Haf zenon_H191.
% 10.13/10.36 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.36 apply (zenon_L191_); trivial.
% 10.13/10.36 apply (zenon_L739_); trivial.
% 10.13/10.36 (* end of lemma zenon_L740_ *)
% 10.13/10.36 assert (zenon_L741_ : ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (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) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (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))))) -> (~((e0) = (e2))) -> (((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) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e1) (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) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((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 (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (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) (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)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e3)) = (op (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 (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (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 (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (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))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> False).
% 10.13/10.36 do 0 intro. intros zenon_H1af zenon_H157 zenon_H1ae zenon_H56 zenon_Hda zenon_H84 zenon_He3 zenon_H64 zenon_H187 zenon_H51 zenon_H5e zenon_Hd3 zenon_H17c zenon_H90 zenon_H4c zenon_Hb0 zenon_H53 zenon_H1b4 zenon_H12c zenon_H205 zenon_H95 zenon_Hbb zenon_H1b1 zenon_H35 zenon_H198 zenon_Hce zenon_Hd2 zenon_H156 zenon_H195 zenon_H69 zenon_H192 zenon_H191 zenon_H173 zenon_He7 zenon_H152 zenon_H114 zenon_H16b zenon_H1ef zenon_H1f zenon_H1e6 zenon_Hc0 zenon_H177 zenon_H44 zenon_H14d zenon_H200 zenon_H1f8 zenon_H1fb zenon_Hfd zenon_H204 zenon_H4a zenon_H1ea zenon_H42 zenon_H181 zenon_H132 zenon_H103 zenon_H10b zenon_H97 zenon_H18d zenon_H12f zenon_H7d zenon_H7e zenon_H86 zenon_H145 zenon_H108 zenon_H155 zenon_H3c zenon_Hc5 zenon_Hf8 zenon_H6f zenon_H144 zenon_H158 zenon_H1dd zenon_H11d zenon_H18a zenon_H1e2 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H58 zenon_H128 zenon_Hdd zenon_H7a zenon_H1b7 zenon_H8c zenon_Hec zenon_H159 zenon_H1cb zenon_H150 zenon_H168 zenon_Hae zenon_Hf5 zenon_H1f0 zenon_Hab zenon_Hde zenon_Hc6 zenon_H67 zenon_H1de.
% 10.13/10.37 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.13/10.37 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.13/10.37 apply (zenon_L740_); trivial.
% 10.13/10.37 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.37 apply (zenon_L727_); trivial.
% 10.13/10.37 apply (zenon_L739_); trivial.
% 10.13/10.37 apply (zenon_L343_); trivial.
% 10.13/10.37 (* end of lemma zenon_L741_ *)
% 10.13/10.37 assert (zenon_L742_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (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) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((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 (e1) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (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 (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((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 (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (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))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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 (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 (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (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) (e0)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((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 (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((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) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (e2))) -> (~((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))))) -> False).
% 10.13/10.37 do 0 intro. intros zenon_H151 zenon_H1b0 zenon_H44 zenon_H69 zenon_H18e zenon_H205 zenon_Hbb zenon_H17a zenon_H165 zenon_H1ea zenon_H16e zenon_H156 zenon_H90 zenon_H17c zenon_H7d zenon_H86 zenon_H132 zenon_H103 zenon_H1cb zenon_H108 zenon_Hf8 zenon_H158 zenon_H145 zenon_H5e zenon_H155 zenon_Hc5 zenon_H12f zenon_H150 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H1b4 zenon_Hce zenon_Hdd zenon_H1af zenon_Hd2 zenon_Hd3 zenon_Hc0 zenon_He7 zenon_H53 zenon_H181 zenon_H42 zenon_H4c zenon_H95 zenon_H187 zenon_H64 zenon_H157 zenon_H14d zenon_H16b zenon_H1b1 zenon_H35 zenon_H159 zenon_H6f zenon_H198 zenon_H56 zenon_H58 zenon_H7a zenon_H1b7 zenon_H18d zenon_H173 zenon_Hfd zenon_H1fb zenon_H1f8 zenon_H200 zenon_H177 zenon_Hf5 zenon_H1f0 zenon_H1f zenon_H195 zenon_H1ef zenon_H114 zenon_H152 zenon_H204 zenon_H4a zenon_H144 zenon_H11d zenon_Hae zenon_H168 zenon_Hc6 zenon_H67 zenon_H16f zenon_Hab zenon_Hde zenon_H112 zenon_H1e6 zenon_H10b zenon_H18a zenon_H1e2 zenon_H97 zenon_Hb0 zenon_H8c zenon_H128 zenon_Hda zenon_H3c zenon_H1de zenon_H1dd zenon_H12c zenon_Hec zenon_He3 zenon_H1ae zenon_He8 zenon_H192 zenon_Haf zenon_H191.
% 10.13/10.37 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.37 apply (zenon_L190_); trivial.
% 10.13/10.37 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.13/10.37 apply (zenon_L693_); trivial.
% 10.13/10.37 exact (zenon_H1ae zenon_Hb8).
% 10.13/10.37 (* end of lemma zenon_L742_ *)
% 10.13/10.37 assert (zenon_L743_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (~((e0) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e2)) = (op (e3) (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))))) -> (~((e0) = (e2))) -> (((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) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((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)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e0) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((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 (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (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 (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (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 (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((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)) = (op (e0) (e3)))) -> (((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 (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 (e0) (e1)) = (op (e2) (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 (e3) (e1)) = (op (e3) (e2)))) -> (~((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) (e3)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (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 (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (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))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> False).
% 10.13/10.37 do 0 intro. intros zenon_H151 zenon_H1b0 zenon_H53 zenon_H69 zenon_Hc1 zenon_H4c zenon_H100 zenon_H173 zenon_He7 zenon_H152 zenon_H114 zenon_H16b zenon_H1ef zenon_H195 zenon_H1f zenon_H1af zenon_H1e6 zenon_Hc0 zenon_H177 zenon_H44 zenon_H14d zenon_H200 zenon_H1f8 zenon_H1fb zenon_Hfd zenon_H204 zenon_H4a zenon_H1ea zenon_H157 zenon_H1ae zenon_Hd2 zenon_H42 zenon_H181 zenon_H132 zenon_H103 zenon_H35 zenon_H95 zenon_H10b zenon_H187 zenon_H97 zenon_H18d zenon_H12f zenon_H5e zenon_H7d zenon_H86 zenon_H145 zenon_H108 zenon_H155 zenon_H3c zenon_Hc5 zenon_Hf8 zenon_H6f zenon_H144 zenon_H158 zenon_H56 zenon_Hda zenon_H1dd zenon_H198 zenon_H1b4 zenon_H156 zenon_H192 zenon_H11d zenon_H191 zenon_H18a zenon_H1e2 zenon_H17c zenon_H64 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H90 zenon_H58 zenon_H128 zenon_Hce zenon_Hdd zenon_H7a zenon_H1b7 zenon_H8c zenon_Hd3 zenon_Hb0 zenon_H12c zenon_Hec zenon_H159 zenon_H1cb zenon_H1b1 zenon_He3 zenon_H150 zenon_H168 zenon_Hae zenon_Hf5 zenon_H1f0 zenon_Hab zenon_Hde zenon_Hc6 zenon_H67 zenon_H1de.
% 10.13/10.37 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.13/10.37 apply (zenon_L727_); trivial.
% 10.13/10.37 exact (zenon_H1b0 zenon_Hbd).
% 10.13/10.37 (* end of lemma zenon_L743_ *)
% 10.13/10.37 assert (zenon_L744_ : ((op (e3) (e3)) = (e3)) -> ((op (e0) (e2)) = (e0)) -> (((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 (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (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 (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 (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 (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((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) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (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 (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((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)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((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)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (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 (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)) = (op (e2) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (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 (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (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) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e3) (e1)) = (e3))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> False).
% 10.13/10.37 do 0 intro. intros zenon_H84 zenon_H51 zenon_H191 zenon_H192 zenon_H1ae zenon_He3 zenon_Hec zenon_H12c zenon_H1dd zenon_H1de zenon_H3c zenon_Hda zenon_H128 zenon_H8c zenon_Hb0 zenon_H97 zenon_H1e2 zenon_H18a zenon_H10b zenon_H1e6 zenon_H112 zenon_Hde zenon_Hab zenon_H16f zenon_H67 zenon_Hc6 zenon_H168 zenon_Hae zenon_H11d zenon_H144 zenon_H4a zenon_H204 zenon_H152 zenon_H114 zenon_H1ef zenon_H195 zenon_H1f zenon_H1f0 zenon_Hf5 zenon_H177 zenon_H200 zenon_H1f8 zenon_H1fb zenon_Hfd zenon_H173 zenon_H18d zenon_H1b7 zenon_H7a zenon_H58 zenon_H56 zenon_H198 zenon_H6f zenon_H159 zenon_H35 zenon_H1b1 zenon_H16b zenon_H14d zenon_H157 zenon_H64 zenon_H187 zenon_H95 zenon_H4c zenon_H42 zenon_H181 zenon_H53 zenon_He7 zenon_Hc0 zenon_Hd3 zenon_Hd2 zenon_H1af zenon_Hdd zenon_Hce zenon_H1b4 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H150 zenon_H12f zenon_Hc5 zenon_H155 zenon_H5e zenon_H145 zenon_H158 zenon_Hf8 zenon_H108 zenon_H1cb zenon_H103 zenon_H132 zenon_H86 zenon_H7d zenon_H17c zenon_H90 zenon_H156 zenon_H16e zenon_H1ea zenon_H165 zenon_H17a zenon_Hbb zenon_H205 zenon_H18e zenon_H69 zenon_H44 zenon_H1b0 zenon_H151.
% 10.13/10.37 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.13/10.37 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.13/10.37 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.13/10.37 apply (zenon_L742_); trivial.
% 10.13/10.37 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.37 apply (zenon_L523_); trivial.
% 10.13/10.37 apply (zenon_L739_); trivial.
% 10.13/10.37 apply (zenon_L468_); trivial.
% 10.13/10.37 apply (zenon_L343_); trivial.
% 10.13/10.37 (* end of lemma zenon_L744_ *)
% 10.13/10.37 assert (zenon_L745_ : ((op (e3) (e3)) = (e3)) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (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 (e0) (e1)) = (op (e3) (e1)))) -> (((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) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((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 (e3) (e1)) = (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) (e1)) = (op (e2) (e1)))) -> (((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) (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 (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (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 (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e1))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (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) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (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 (e0) (e2)) = (op (e1) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((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) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (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 (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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 (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e1) (e2)) = (e1)) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> False).
% 10.13/10.37 do 0 intro. intros zenon_H84 zenon_H43 zenon_H27 zenon_H205 zenon_Hbb zenon_H1de zenon_H67 zenon_Hc6 zenon_Hde zenon_Hab zenon_H1f0 zenon_Hf5 zenon_Hae zenon_H168 zenon_H150 zenon_He3 zenon_H1b1 zenon_H1cb zenon_H159 zenon_Hec zenon_H12c zenon_Hb0 zenon_Hd3 zenon_H8c zenon_H1b7 zenon_H7a zenon_Hdd zenon_Hce zenon_H128 zenon_H58 zenon_H90 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H64 zenon_H17c zenon_H1e2 zenon_H18a zenon_H191 zenon_H11d zenon_H192 zenon_H156 zenon_H1b4 zenon_H198 zenon_H1dd zenon_Hda zenon_H56 zenon_H158 zenon_H144 zenon_H6f zenon_Hf8 zenon_Hc5 zenon_H3c zenon_H155 zenon_H108 zenon_H145 zenon_H86 zenon_H7d zenon_H5e zenon_H12f zenon_H18d zenon_H97 zenon_H187 zenon_H10b zenon_H95 zenon_H35 zenon_H103 zenon_H132 zenon_H181 zenon_H42 zenon_Hd2 zenon_H1ae zenon_H157 zenon_H1ea zenon_H4a zenon_H204 zenon_Hfd zenon_H1fb zenon_H1f8 zenon_H200 zenon_H14d zenon_H44 zenon_H177 zenon_Hc0 zenon_H1e6 zenon_H1af zenon_H1f zenon_H195 zenon_H1ef zenon_H16b zenon_H114 zenon_H152 zenon_He7 zenon_H173 zenon_H100 zenon_H4c zenon_H69 zenon_H53 zenon_H1b0 zenon_H151.
% 10.13/10.37 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.37 apply (zenon_L743_); trivial.
% 10.13/10.37 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.13/10.37 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.13/10.37 apply (zenon_L701_); trivial.
% 10.13/10.37 exact (zenon_H1ae zenon_Hb8).
% 10.13/10.37 apply (zenon_L737_); trivial.
% 10.13/10.37 (* end of lemma zenon_L745_ *)
% 10.13/10.37 assert (zenon_L746_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (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) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((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 (e1) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (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 (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((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 (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (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))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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 (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 (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (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) (e0)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((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 (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((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) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e0)) = (e2))) -> False).
% 10.13/10.37 do 0 intro. intros zenon_H151 zenon_H1b0 zenon_H44 zenon_H69 zenon_H18e zenon_H205 zenon_Hbb zenon_H17a zenon_H165 zenon_H1ea zenon_H16e zenon_H156 zenon_H90 zenon_H17c zenon_H7d zenon_H86 zenon_H132 zenon_H103 zenon_H1cb zenon_H108 zenon_Hf8 zenon_H158 zenon_H145 zenon_H5e zenon_H155 zenon_Hc5 zenon_H12f zenon_H150 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H1b4 zenon_Hce zenon_Hdd zenon_H1af zenon_Hd2 zenon_Hd3 zenon_Hc0 zenon_He7 zenon_H53 zenon_H181 zenon_H42 zenon_H4c zenon_H95 zenon_H187 zenon_H64 zenon_H157 zenon_H14d zenon_H16b zenon_H1b1 zenon_H35 zenon_H159 zenon_H6f zenon_H198 zenon_H56 zenon_H58 zenon_H7a zenon_H1b7 zenon_H18d zenon_H173 zenon_Hfd zenon_H1fb zenon_H1f8 zenon_H200 zenon_H177 zenon_Hf5 zenon_H1f0 zenon_H1f zenon_H195 zenon_H1ef zenon_H114 zenon_H152 zenon_H204 zenon_H4a zenon_H144 zenon_H11d zenon_Hae zenon_H168 zenon_Hc6 zenon_H67 zenon_H16f zenon_Hab zenon_Hde zenon_H112 zenon_H1e6 zenon_H10b zenon_H18a zenon_H1e2 zenon_H97 zenon_Hb0 zenon_H8c zenon_H128 zenon_Hda zenon_H3c zenon_H1de zenon_H1dd zenon_H12c zenon_Hec zenon_He3 zenon_H1ae zenon_H192 zenon_H191 zenon_H84 zenon_H43 zenon_H27.
% 10.13/10.37 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.13/10.37 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.13/10.37 apply (zenon_L742_); trivial.
% 10.13/10.37 apply (zenon_L745_); trivial.
% 10.13/10.37 apply (zenon_L468_); trivial.
% 10.13/10.37 (* end of lemma zenon_L746_ *)
% 10.13/10.37 assert (zenon_L747_ : ((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 (e2) (e1)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (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 (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 (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 (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((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) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (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 (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((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)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((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)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (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 (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)) = (op (e2) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (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 (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (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) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e3) (e1)) = (e3))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> False).
% 10.13/10.37 do 0 intro. intros zenon_H84 zenon_H191 zenon_H192 zenon_H1ae zenon_He3 zenon_Hec zenon_H12c zenon_H1dd zenon_H1de zenon_H3c zenon_Hda zenon_H128 zenon_H8c zenon_Hb0 zenon_H97 zenon_H1e2 zenon_H18a zenon_H10b zenon_H1e6 zenon_H112 zenon_Hde zenon_Hab zenon_H16f zenon_H67 zenon_Hc6 zenon_H168 zenon_Hae zenon_H11d zenon_H144 zenon_H4a zenon_H204 zenon_H152 zenon_H114 zenon_H1ef zenon_H195 zenon_H1f zenon_H1f0 zenon_Hf5 zenon_H177 zenon_H200 zenon_H1f8 zenon_H1fb zenon_Hfd zenon_H173 zenon_H18d zenon_H1b7 zenon_H7a zenon_H58 zenon_H56 zenon_H198 zenon_H6f zenon_H159 zenon_H35 zenon_H1b1 zenon_H16b zenon_H14d zenon_H157 zenon_H64 zenon_H187 zenon_H95 zenon_H4c zenon_H42 zenon_H181 zenon_H53 zenon_He7 zenon_Hc0 zenon_Hd3 zenon_Hd2 zenon_H1af zenon_Hdd zenon_Hce zenon_H1b4 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H150 zenon_H12f zenon_Hc5 zenon_H155 zenon_H5e zenon_H145 zenon_H158 zenon_Hf8 zenon_H108 zenon_H1cb zenon_H103 zenon_H132 zenon_H86 zenon_H7d zenon_H17c zenon_H90 zenon_H156 zenon_H16e zenon_H1ea zenon_H165 zenon_H17a zenon_Hbb zenon_H205 zenon_H18e zenon_H69 zenon_H44 zenon_H1b0 zenon_H151.
% 10.13/10.37 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.13/10.37 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.13/10.37 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.13/10.37 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.13/10.37 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.13/10.37 apply (zenon_L742_); trivial.
% 10.13/10.37 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.37 apply (zenon_L523_); trivial.
% 10.13/10.37 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.13/10.37 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.13/10.37 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.13/10.37 apply (zenon_L697_); trivial.
% 10.13/10.37 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.13/10.37 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.13/10.37 exact (zenon_H25 zenon_H2a).
% 10.13/10.37 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.13/10.37 apply (zenon_L615_); trivial.
% 10.13/10.37 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.13/10.37 apply (zenon_L744_); trivial.
% 10.13/10.37 apply (zenon_L746_); trivial.
% 10.13/10.37 exact (zenon_H1b0 zenon_Hbd).
% 10.13/10.37 exact (zenon_H1ae zenon_Hb8).
% 10.13/10.37 apply (zenon_L737_); trivial.
% 10.13/10.37 apply (zenon_L468_); trivial.
% 10.13/10.37 apply (zenon_L746_); trivial.
% 10.13/10.37 apply (zenon_L744_); trivial.
% 10.13/10.37 apply (zenon_L100_); trivial.
% 10.13/10.37 (* end of lemma zenon_L747_ *)
% 10.13/10.37 assert (zenon_L748_ : ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((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 (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((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))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (e3))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> False).
% 10.13/10.37 do 0 intro. intros zenon_H157 zenon_H1ae zenon_Hf8 zenon_H1cb zenon_H5e zenon_Hb1 zenon_H53 zenon_H108 zenon_H56 zenon_H1b4 zenon_H3c zenon_H3a zenon_Hd3 zenon_H18a zenon_H7d zenon_H7a zenon_H86 zenon_H18d zenon_H17c zenon_H43 zenon_H187 zenon_H90 zenon_H42 zenon_H27 zenon_H44 zenon_H69 zenon_H35 zenon_Hf5 zenon_H100 zenon_H1e6 zenon_H1f0 zenon_Hdd zenon_H9a zenon_H198 zenon_H6f zenon_H64 zenon_H1b0 zenon_H151.
% 10.13/10.37 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.13/10.37 apply (zenon_L700_); trivial.
% 10.13/10.37 exact (zenon_H1ae zenon_Hb8).
% 10.13/10.37 (* end of lemma zenon_L748_ *)
% 10.13/10.37 assert (zenon_L749_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (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) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((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 (e1) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (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 (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((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 (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (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))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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 (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 (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (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) (e0)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((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 (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((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) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e0)) = (e2))) -> False).
% 10.13/10.37 do 0 intro. intros zenon_H151 zenon_H1b0 zenon_H44 zenon_H69 zenon_H18e zenon_H205 zenon_Hbb zenon_H17a zenon_H165 zenon_H1ea zenon_H16e zenon_H156 zenon_H90 zenon_H17c zenon_H7d zenon_H86 zenon_H132 zenon_H103 zenon_H1cb zenon_H108 zenon_Hf8 zenon_H158 zenon_H145 zenon_H5e zenon_H155 zenon_Hc5 zenon_H12f zenon_H150 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H1b4 zenon_Hce zenon_Hdd zenon_H1af zenon_Hd2 zenon_Hd3 zenon_Hc0 zenon_He7 zenon_H53 zenon_H181 zenon_H42 zenon_H4c zenon_H95 zenon_H187 zenon_H64 zenon_H157 zenon_H14d zenon_H16b zenon_H1b1 zenon_H35 zenon_H159 zenon_H6f zenon_H198 zenon_H56 zenon_H58 zenon_H7a zenon_H1b7 zenon_H18d zenon_H173 zenon_Hfd zenon_H1fb zenon_H1f8 zenon_H200 zenon_H177 zenon_Hf5 zenon_H1f0 zenon_H1f zenon_H195 zenon_H1ef zenon_H114 zenon_H152 zenon_H204 zenon_H4a zenon_H144 zenon_H11d zenon_Hae zenon_H168 zenon_Hc6 zenon_H67 zenon_H16f zenon_Hab zenon_Hde zenon_H112 zenon_H1e6 zenon_H10b zenon_H18a zenon_H1e2 zenon_H97 zenon_Hb0 zenon_H8c zenon_H128 zenon_Hda zenon_H3c zenon_H1de zenon_H1dd zenon_H12c zenon_Hec zenon_He3 zenon_H1ae zenon_H192 zenon_H191 zenon_H3a zenon_H43 zenon_H27.
% 10.13/10.37 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.13/10.37 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.13/10.37 apply (zenon_L742_); trivial.
% 10.13/10.37 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.13/10.37 apply (zenon_L743_); trivial.
% 10.13/10.37 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.13/10.37 apply (zenon_L748_); trivial.
% 10.13/10.37 apply (zenon_L321_); trivial.
% 10.13/10.37 apply (zenon_L468_); trivial.
% 10.13/10.37 (* end of lemma zenon_L749_ *)
% 10.13/10.37 assert (zenon_L750_ : ((op (e2) (e2)) = (e2)) -> ((op (e0) (e2)) = (e0)) -> (((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 (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (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 (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 (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 (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((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) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (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 (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((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)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((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)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (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 (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)) = (op (e2) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (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 (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (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) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e3) (e1)) = (e3))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> False).
% 10.23/10.37 do 0 intro. intros zenon_H3a zenon_H51 zenon_H191 zenon_H192 zenon_H1ae zenon_He3 zenon_Hec zenon_H12c zenon_H1dd zenon_H1de zenon_H3c zenon_Hda zenon_H128 zenon_H8c zenon_Hb0 zenon_H97 zenon_H1e2 zenon_H18a zenon_H10b zenon_H1e6 zenon_H112 zenon_Hde zenon_Hab zenon_H16f zenon_H67 zenon_Hc6 zenon_H168 zenon_Hae zenon_H11d zenon_H144 zenon_H4a zenon_H204 zenon_H152 zenon_H114 zenon_H1ef zenon_H195 zenon_H1f zenon_H1f0 zenon_Hf5 zenon_H177 zenon_H200 zenon_H1f8 zenon_H1fb zenon_Hfd zenon_H173 zenon_H18d zenon_H1b7 zenon_H7a zenon_H58 zenon_H56 zenon_H198 zenon_H6f zenon_H159 zenon_H35 zenon_H1b1 zenon_H16b zenon_H14d zenon_H157 zenon_H64 zenon_H187 zenon_H95 zenon_H4c zenon_H42 zenon_H181 zenon_H53 zenon_He7 zenon_Hc0 zenon_Hd3 zenon_Hd2 zenon_H1af zenon_Hdd zenon_Hce zenon_H1b4 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H150 zenon_H12f zenon_Hc5 zenon_H155 zenon_H5e zenon_H145 zenon_H158 zenon_Hf8 zenon_H108 zenon_H1cb zenon_H103 zenon_H132 zenon_H86 zenon_H7d zenon_H17c zenon_H90 zenon_H156 zenon_H16e zenon_H1ea zenon_H165 zenon_H17a zenon_Hbb zenon_H205 zenon_H18e zenon_H69 zenon_H44 zenon_H1b0 zenon_H151.
% 10.23/10.37 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.23/10.37 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.23/10.37 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.23/10.37 apply (zenon_L742_); trivial.
% 10.23/10.37 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.23/10.37 apply (zenon_L743_); trivial.
% 10.23/10.37 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.23/10.37 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.23/10.37 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.23/10.37 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.23/10.37 apply (zenon_L731_); trivial.
% 10.23/10.37 exact (zenon_H1b0 zenon_Hbd).
% 10.23/10.37 apply (zenon_L705_); trivial.
% 10.23/10.37 exact (zenon_H1ae zenon_Hb8).
% 10.23/10.37 apply (zenon_L732_); trivial.
% 10.23/10.37 apply (zenon_L468_); trivial.
% 10.23/10.37 apply (zenon_L343_); trivial.
% 10.23/10.37 (* end of lemma zenon_L750_ *)
% 10.23/10.37 assert (zenon_L751_ : ((~((op (e2) (e2)) = (e1)))\/(~((op (e2) (e1)) = (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (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) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((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 (e1) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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 (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (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 (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((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 (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (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))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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 (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 (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (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) (e0)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((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 (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((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) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((~((op (e3) (e3)) = (e1)))\/(~((op (e3) (e1)) = (e3)))) -> False).
% 10.23/10.37 do 0 intro. intros zenon_H22a zenon_H44 zenon_H18e zenon_H205 zenon_Hbb zenon_H17a zenon_H165 zenon_H1ea zenon_H16e zenon_H156 zenon_H90 zenon_H17c zenon_H7d zenon_H86 zenon_H132 zenon_H103 zenon_H1cb zenon_H108 zenon_Hf8 zenon_H158 zenon_H145 zenon_H5e zenon_H155 zenon_Hc5 zenon_H150 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H1b4 zenon_Hce zenon_Hdd zenon_H1af zenon_Hd2 zenon_Hd3 zenon_Hc0 zenon_He7 zenon_H53 zenon_H181 zenon_H42 zenon_H4c zenon_H95 zenon_H187 zenon_H64 zenon_H157 zenon_H14d zenon_H16b zenon_H1b1 zenon_H35 zenon_H159 zenon_H6f zenon_H198 zenon_H56 zenon_H58 zenon_H7a zenon_H1b7 zenon_H18d zenon_H173 zenon_Hfd zenon_H1fb zenon_H1f8 zenon_H200 zenon_H177 zenon_Hf5 zenon_H1f0 zenon_H1f zenon_H1ef zenon_H114 zenon_H152 zenon_H204 zenon_H4a zenon_H144 zenon_H11d zenon_Hae zenon_H168 zenon_Hc6 zenon_H67 zenon_H16f zenon_Hab zenon_Hde zenon_H112 zenon_H1e6 zenon_H10b zenon_H18a zenon_H1e2 zenon_H97 zenon_Hb0 zenon_H8c zenon_H128 zenon_Hda zenon_H3c zenon_H1de zenon_H1dd zenon_H12c zenon_Hec zenon_He3 zenon_H195 zenon_H191 zenon_H212 zenon_H192 zenon_H69 zenon_H12f zenon_H151 zenon_H22b.
% 10.23/10.37 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H91 | zenon_intro zenon_H1ae ].
% 10.23/10.37 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H7e | zenon_intro zenon_H1b0 ].
% 10.23/10.37 apply (zenon_L627_); trivial.
% 10.23/10.37 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.23/10.37 apply (zenon_L100_); trivial.
% 10.23/10.37 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.23/10.37 exact (zenon_H192 zenon_H1d).
% 10.23/10.37 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.23/10.37 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.23/10.37 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.23/10.37 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.23/10.37 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.23/10.37 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.23/10.37 apply (zenon_L694_); trivial.
% 10.23/10.37 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.23/10.37 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.23/10.37 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.23/10.37 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.23/10.37 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.23/10.37 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.23/10.37 apply (zenon_L611_); trivial.
% 10.23/10.37 apply (zenon_L699_); trivial.
% 10.23/10.37 apply (zenon_L472_); trivial.
% 10.23/10.37 exact (zenon_H1b0 zenon_Hbd).
% 10.23/10.37 apply (zenon_L354_); trivial.
% 10.23/10.37 apply (zenon_L321_); trivial.
% 10.23/10.37 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.23/10.37 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.23/10.37 apply (zenon_L698_); trivial.
% 10.23/10.37 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.23/10.37 apply (zenon_L620_); trivial.
% 10.23/10.37 exact (zenon_H1b0 zenon_Hbd).
% 10.23/10.37 apply (zenon_L321_); trivial.
% 10.23/10.37 apply (zenon_L468_); trivial.
% 10.23/10.37 apply (zenon_L703_); trivial.
% 10.23/10.37 apply (zenon_L707_); trivial.
% 10.23/10.37 apply (zenon_L100_); trivial.
% 10.23/10.37 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.23/10.37 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.23/10.37 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.23/10.37 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.23/10.37 apply (zenon_L694_); trivial.
% 10.23/10.37 apply (zenon_L699_); trivial.
% 10.23/10.37 apply (zenon_L708_); trivial.
% 10.23/10.37 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.23/10.37 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.23/10.37 apply (zenon_L694_); trivial.
% 10.23/10.37 apply (zenon_L625_); trivial.
% 10.23/10.37 apply (zenon_L343_); trivial.
% 10.23/10.37 apply (zenon_L100_); trivial.
% 10.23/10.37 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H7e | zenon_intro zenon_H1b0 ].
% 10.23/10.37 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.23/10.37 apply (zenon_L100_); trivial.
% 10.23/10.37 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.23/10.38 exact (zenon_H192 zenon_H1d).
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.23/10.38 apply (zenon_L709_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.23/10.38 apply (zenon_L727_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.23/10.38 apply (zenon_L730_); trivial.
% 10.23/10.38 apply (zenon_L735_); trivial.
% 10.23/10.38 exact (zenon_H1ae zenon_Hb8).
% 10.23/10.38 apply (zenon_L321_); trivial.
% 10.23/10.38 apply (zenon_L736_); trivial.
% 10.23/10.38 apply (zenon_L733_); trivial.
% 10.23/10.38 apply (zenon_L100_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.23/10.38 apply (zenon_L709_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.23/10.38 apply (zenon_L727_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.23/10.38 apply (zenon_L613_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.23/10.38 apply (zenon_L730_); trivial.
% 10.23/10.38 apply (zenon_L266_); trivial.
% 10.23/10.38 exact (zenon_H1ae zenon_Hb8).
% 10.23/10.38 apply (zenon_L737_); trivial.
% 10.23/10.38 apply (zenon_L738_); trivial.
% 10.23/10.38 apply (zenon_L741_); trivial.
% 10.23/10.38 apply (zenon_L100_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.23/10.38 apply (zenon_L100_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.23/10.38 exact (zenon_H192 zenon_H1d).
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.23/10.38 apply (zenon_L742_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.23/10.38 apply (zenon_L743_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.23/10.38 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.23/10.38 apply (zenon_L734_); trivial.
% 10.23/10.38 apply (zenon_L747_); trivial.
% 10.23/10.38 apply (zenon_L616_); trivial.
% 10.23/10.38 exact (zenon_H1b0 zenon_Hbd).
% 10.23/10.38 exact (zenon_H1ae zenon_Hb8).
% 10.23/10.38 apply (zenon_L321_); trivial.
% 10.23/10.38 apply (zenon_L468_); trivial.
% 10.23/10.38 apply (zenon_L749_); trivial.
% 10.23/10.38 apply (zenon_L750_); trivial.
% 10.23/10.38 apply (zenon_L100_); trivial.
% 10.23/10.38 apply (zenon_L747_); trivial.
% 10.23/10.38 (* end of lemma zenon_L751_ *)
% 10.23/10.38 assert (zenon_L752_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (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 (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (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)))) -> (~((op (e3) (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 (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (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 (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False).
% 10.23/10.38 do 0 intro. intros zenon_H200 zenon_H25 zenon_H22c zenon_H187 zenon_H9a zenon_H1f8 zenon_H6f zenon_H155 zenon_H3a zenon_H1e6 zenon_H1b4 zenon_H159 zenon_H7e zenon_H1f0 zenon_Hf5 zenon_Hda zenon_H28 zenon_H69 zenon_H91 zenon_Hd3 zenon_H90 zenon_H17c zenon_H64 zenon_H56 zenon_Hb0 zenon_H4c zenon_H108 zenon_H1cb zenon_H100 zenon_H5e zenon_Hb1 zenon_H53 zenon_Hed.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.23/10.38 exact (zenon_H25 zenon_H2a).
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.23/10.38 exact (zenon_H22c zenon_H68).
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.23/10.38 apply (zenon_L491_); trivial.
% 10.23/10.38 apply (zenon_L359_); trivial.
% 10.23/10.38 (* end of lemma zenon_L752_ *)
% 10.23/10.38 assert (zenon_L753_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 10.23/10.38 do 0 intro. intros zenon_H200 zenon_H25 zenon_H22c zenon_H187 zenon_H9a zenon_H5e zenon_Hf5 zenon_Hbc zenon_H4c zenon_H1f0 zenon_H100 zenon_H1e6 zenon_H56 zenon_H64 zenon_H7d zenon_H7a zenon_H7e zenon_H7f zenon_H80.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.23/10.38 exact (zenon_H25 zenon_H2a).
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.23/10.38 exact (zenon_H22c zenon_H68).
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.23/10.38 apply (zenon_L493_); trivial.
% 10.23/10.38 apply (zenon_L24_); trivial.
% 10.23/10.38 (* end of lemma zenon_L753_ *)
% 10.23/10.38 assert (zenon_L754_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (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) (e2)) = (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) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((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)) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e3)) -> (~((e1) = (e3))) -> (~((e0) = (e1))) -> (~((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 (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> False).
% 10.23/10.38 do 0 intro. intros zenon_Hf8 zenon_H1f8 zenon_H3a zenon_H155 zenon_H159 zenon_H6f zenon_Hda zenon_H69 zenon_H53 zenon_H28 zenon_Hd3 zenon_H91 zenon_H17c zenon_H90 zenon_Hb1 zenon_Hb0 zenon_H1b4 zenon_H108 zenon_H1cb zenon_H200 zenon_H7a zenon_H7d zenon_H56 zenon_Hf5 zenon_H7e zenon_H100 zenon_H1e6 zenon_H1f0 zenon_Hbc zenon_H4c zenon_H5e zenon_H187 zenon_H9a zenon_H64 zenon_H22c zenon_H25 zenon_He3 zenon_H18d.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.23/10.38 apply (zenon_L753_); trivial.
% 10.23/10.38 apply (zenon_L266_); trivial.
% 10.23/10.38 apply (zenon_L752_); trivial.
% 10.23/10.38 (* end of lemma zenon_L754_ *)
% 10.23/10.38 assert (zenon_L755_ : ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((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))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (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) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((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)) = (e1))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((e0) = (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)))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (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) (e0)) = (e1))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.23/10.38 do 0 intro. intros zenon_H150 zenon_H200 zenon_H3c zenon_H3a zenon_H18a zenon_H86 zenon_H42 zenon_H27 zenon_H44 zenon_Hdd zenon_H6f zenon_H7a zenon_H7d zenon_H1ea zenon_H159 zenon_H191 zenon_H192 zenon_H69 zenon_H195 zenon_H198 zenon_H1af zenon_Hda zenon_H1f0 zenon_H1e6 zenon_H100 zenon_H7e zenon_Hf5 zenon_H4c zenon_H53 zenon_H28 zenon_H64 zenon_H187 zenon_H5e zenon_Hd3 zenon_H91 zenon_H17c zenon_H9a zenon_H90 zenon_Hb1 zenon_Hb0 zenon_H1b4 zenon_H56 zenon_H156 zenon_H12c zenon_H205 zenon_H95 zenon_Hbb zenon_H1b1 zenon_H35 zenon_Hce zenon_Hd2 zenon_He3 zenon_H18d zenon_H22c zenon_H25 zenon_H1cb zenon_H108 zenon_H155 zenon_H1f8 zenon_Hf8.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.23/10.38 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.23/10.38 exact (zenon_H25 zenon_H2a).
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.23/10.38 exact (zenon_H22c zenon_H68).
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.23/10.38 apply (zenon_L489_); trivial.
% 10.23/10.38 apply (zenon_L531_); trivial.
% 10.23/10.38 apply (zenon_L752_); trivial.
% 10.23/10.38 apply (zenon_L754_); trivial.
% 10.23/10.38 (* end of lemma zenon_L755_ *)
% 10.23/10.38 assert (zenon_L756_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (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) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e1) = (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) (e2)) = (e1))) -> ((op (e1) (e3)) = (e1)) -> ((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 (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 (e3) (e3)) = (e1))) -> (~((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) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (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) (e3)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 10.23/10.38 do 0 intro. intros zenon_H200 zenon_H25 zenon_H22c zenon_H7a zenon_H181 zenon_H1cb zenon_H1b7 zenon_H64 zenon_H35 zenon_H90 zenon_Hd3 zenon_H91 zenon_H9a zenon_H69 zenon_H44 zenon_H27 zenon_Hdd zenon_Hf5 zenon_H1f0 zenon_H1e6 zenon_H7e zenon_H198 zenon_H56 zenon_H1b4 zenon_H6f zenon_H100 zenon_H18a zenon_H187 zenon_H17c zenon_Hd0 zenon_H84 zenon_H86.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.23/10.38 exact (zenon_H25 zenon_H2a).
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.23/10.38 exact (zenon_H22c zenon_H68).
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.23/10.38 apply (zenon_L418_); trivial.
% 10.23/10.38 apply (zenon_L528_); trivial.
% 10.23/10.38 (* end of lemma zenon_L756_ *)
% 10.23/10.38 assert (zenon_L757_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e2)) = (op (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 (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> False).
% 10.23/10.38 do 0 intro. intros zenon_Hd2 zenon_H25 zenon_H22c zenon_H1b7 zenon_H84 zenon_H7a zenon_H181 zenon_H1cb zenon_H6f zenon_H18a zenon_H86 zenon_H200 zenon_H56 zenon_H1b4 zenon_H90 zenon_H17c zenon_H91 zenon_Hd3 zenon_H27 zenon_H44 zenon_H69 zenon_H35 zenon_Hf5 zenon_H7e zenon_H100 zenon_H1e6 zenon_H1f0 zenon_Hdd zenon_H9a zenon_H198 zenon_Hc5 zenon_Hc7 zenon_H3c zenon_Hb1 zenon_H187 zenon_H64.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.23/10.38 apply (zenon_L527_); trivial.
% 10.23/10.38 apply (zenon_L756_); trivial.
% 10.23/10.38 (* end of lemma zenon_L757_ *)
% 10.23/10.38 assert (zenon_L758_ : (~((op (e0) (e1)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (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 (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 (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 (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((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) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (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 (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((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) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((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)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (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 (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)) = (op (e2) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (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) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (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) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e3) (e1)) = (e3))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e0)) = (e0))) -> (~((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) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 10.23/10.38 do 0 intro. intros zenon_H22c zenon_He3 zenon_Hec zenon_H12c zenon_H1dd zenon_H1de zenon_H3c zenon_Hda zenon_H128 zenon_H8c zenon_Hb0 zenon_H97 zenon_H1e2 zenon_H18a zenon_H10b zenon_H1e6 zenon_H112 zenon_Hde zenon_Hab zenon_H16f zenon_H67 zenon_Hc6 zenon_H168 zenon_Hae zenon_H11d zenon_H144 zenon_H4a zenon_H204 zenon_H152 zenon_H114 zenon_H1ef zenon_H1f zenon_H1f0 zenon_Hf5 zenon_H177 zenon_H200 zenon_H1f8 zenon_H1fb zenon_Hfd zenon_H173 zenon_H18d zenon_H1b7 zenon_H58 zenon_H56 zenon_H198 zenon_H6f zenon_H159 zenon_H35 zenon_H1b1 zenon_H16b zenon_H14d zenon_H157 zenon_H64 zenon_H187 zenon_H95 zenon_H4c zenon_H42 zenon_H181 zenon_H53 zenon_He7 zenon_Hc0 zenon_Hd3 zenon_Hd2 zenon_H1af zenon_Hdd zenon_Hce zenon_H1b4 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H150 zenon_H12f zenon_Hc5 zenon_H91 zenon_H155 zenon_H5e zenon_H145 zenon_H158 zenon_Hf8 zenon_H108 zenon_H1cb zenon_H103 zenon_H132 zenon_H86 zenon_H17c zenon_H90 zenon_H156 zenon_H16e zenon_H1ea zenon_H165 zenon_H17a zenon_Hbb zenon_H205 zenon_H18e zenon_H44 zenon_H1b0 zenon_H151 zenon_H195 zenon_H69 zenon_H192 zenon_H191 zenon_H212 zenon_He8 zenon_H3a zenon_H25 zenon_H28 zenon_H7d zenon_H7a zenon_H7e zenon_H7f zenon_H80.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.23/10.38 exact (zenon_H25 zenon_H2a).
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.23/10.38 exact (zenon_H22c zenon_H68).
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.23/10.38 apply (zenon_L706_); trivial.
% 10.23/10.38 apply (zenon_L24_); trivial.
% 10.23/10.38 (* end of lemma zenon_L758_ *)
% 10.23/10.38 assert (zenon_L759_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e3) (e3)) = (e0))) -> False).
% 10.23/10.38 do 0 intro. intros zenon_H8c zenon_H51 zenon_H1cb zenon_H7a zenon_H84 zenon_Hd0 zenon_H181 zenon_H187 zenon_H1b7 zenon_H5e zenon_H8a zenon_H8d.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H43 | zenon_intro zenon_H8e ].
% 10.23/10.38 apply (zenon_L343_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H87 | zenon_intro zenon_H8f ].
% 10.23/10.38 apply (zenon_L277_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H7b ].
% 10.23/10.38 apply (zenon_L27_); trivial.
% 10.23/10.38 exact (zenon_H8d zenon_H7b).
% 10.23/10.38 (* end of lemma zenon_L759_ *)
% 10.23/10.38 assert (zenon_L760_ : (((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) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e3))) -> False).
% 10.23/10.38 do 0 intro. intros zenon_H1b4 zenon_H56 zenon_He3 zenon_H18a zenon_H198 zenon_H17c zenon_H86 zenon_H7e zenon_H1e6 zenon_H100 zenon_H1f0 zenon_Hf5 zenon_Hda zenon_H28 zenon_H69 zenon_H5e zenon_H91 zenon_H1e zenon_Hd3 zenon_H90 zenon_Hb1 zenon_H8c zenon_H51 zenon_H1cb zenon_H7a zenon_H84 zenon_Hd0 zenon_H181 zenon_H187 zenon_H1b7 zenon_H8d zenon_H53 zenon_Hb0 zenon_H4c.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 10.23/10.38 exact (zenon_H56 zenon_H2c).
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 10.23/10.38 apply (zenon_L428_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 10.23/10.38 apply (zenon_L469_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdb ].
% 10.23/10.38 exact (zenon_H28 zenon_H31).
% 10.23/10.38 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H6c | zenon_intro zenon_Hdc ].
% 10.23/10.38 apply (zenon_L18_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H74 | zenon_intro zenon_Hbc ].
% 10.23/10.38 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hb5 ].
% 10.23/10.38 apply (zenon_L20_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H78 | zenon_intro zenon_Hb6 ].
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H76 | zenon_intro zenon_H92 ].
% 10.23/10.38 apply (zenon_L21_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H77 | zenon_intro zenon_H93 ].
% 10.23/10.38 apply (zenon_L22_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H94 | zenon_intro zenon_H8a ].
% 10.23/10.38 exact (zenon_H91 zenon_H94).
% 10.23/10.38 apply (zenon_L759_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H89 ].
% 10.23/10.38 exact (zenon_Hb1 zenon_Hb7).
% 10.23/10.38 apply (zenon_L250_); trivial.
% 10.23/10.38 apply (zenon_L139_); trivial.
% 10.23/10.38 (* end of lemma zenon_L760_ *)
% 10.23/10.38 assert (zenon_L761_ : (((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 (e2) (e2)) = (e1))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> False).
% 10.23/10.38 do 0 intro. intros zenon_H90 zenon_H4c zenon_H74 zenon_H78 zenon_H5e zenon_H91 zenon_H181 zenon_H62.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H76 | zenon_intro zenon_H92 ].
% 10.23/10.38 apply (zenon_L21_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H77 | zenon_intro zenon_H93 ].
% 10.23/10.38 apply (zenon_L22_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H94 | zenon_intro zenon_H8a ].
% 10.23/10.38 exact (zenon_H91 zenon_H94).
% 10.23/10.38 apply (zenon_L258_); trivial.
% 10.23/10.38 (* end of lemma zenon_L761_ *)
% 10.23/10.38 assert (zenon_L762_ : ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (((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) (e0)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (~((e1) = (e3))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 10.23/10.38 do 0 intro. intros zenon_H18d zenon_H25 zenon_H22c zenon_H64 zenon_H7a zenon_H6f zenon_H28 zenon_H198 zenon_H188 zenon_Hb0 zenon_Hd3 zenon_Hb1 zenon_H4c zenon_H5e zenon_H91 zenon_H8c zenon_H8d zenon_H86 zenon_H7e zenon_H7f zenon_H7d zenon_H1cb zenon_H90 zenon_H53 zenon_Hf5 zenon_H100 zenon_H1e6 zenon_H1f0 zenon_Hda zenon_H56 zenon_H200.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.23/10.38 exact (zenon_H25 zenon_H2a).
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.23/10.38 exact (zenon_H22c zenon_H68).
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.23/10.38 apply (zenon_L344_); trivial.
% 10.23/10.38 apply (zenon_L24_); trivial.
% 10.23/10.38 apply (zenon_L252_); trivial.
% 10.23/10.38 (* end of lemma zenon_L762_ *)
% 10.23/10.38 assert (zenon_L763_ : (~((op (e1) (e1)) = (e3))) -> ((op (e0) (e1)) = (e3)) -> (~((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)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e3)) -> (~((e2) = (e3))) -> (((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) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (((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) (e0)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (~((e1) = (e3))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 10.23/10.38 do 0 intro. intros zenon_Hc1 zenon_H4b zenon_H192 zenon_He8 zenon_H191 zenon_H18a zenon_Hc5 zenon_H51 zenon_H3c zenon_H1b7 zenon_H84 zenon_H181 zenon_H187 zenon_Hd2 zenon_H17c zenon_Hc7 zenon_H77 zenon_H35 zenon_H74 zenon_H95 zenon_H1e2 zenon_H18d zenon_H25 zenon_H22c zenon_H64 zenon_H7a zenon_H6f zenon_H28 zenon_H198 zenon_Hb0 zenon_Hd3 zenon_Hb1 zenon_H4c zenon_H5e zenon_H91 zenon_H8c zenon_H8d zenon_H86 zenon_H7e zenon_H7f zenon_H7d zenon_H1cb zenon_H90 zenon_H53 zenon_Hf5 zenon_H100 zenon_H1e6 zenon_H1f0 zenon_Hda zenon_H56 zenon_H200.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hb5 ].
% 10.23/10.38 apply (zenon_L20_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H78 | zenon_intro zenon_Hb6 ].
% 10.23/10.38 apply (zenon_L335_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H89 ].
% 10.23/10.38 exact (zenon_Hb1 zenon_Hb7).
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H87 | zenon_intro zenon_H18b ].
% 10.23/10.38 apply (zenon_L270_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H9a | zenon_intro zenon_H18c ].
% 10.23/10.38 apply (zenon_L424_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H9b | zenon_intro zenon_H188 ].
% 10.23/10.38 apply (zenon_L271_); trivial.
% 10.23/10.38 apply (zenon_L762_); trivial.
% 10.23/10.38 (* end of lemma zenon_L763_ *)
% 10.23/10.38 assert (zenon_L764_ : (((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 (e0) (e3)) = (e1)) -> (~((op (e3) (e1)) = (e3))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((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)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e3)) -> (~((e2) = (e3))) -> (((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) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (((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) (e0)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e1))) -> (((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))))) -> (~((e0) = (e1))) -> False).
% 10.23/10.38 do 0 intro. intros zenon_He7 zenon_H1b1 zenon_H62 zenon_H1b0 zenon_H4c zenon_Hc1 zenon_H192 zenon_He8 zenon_H191 zenon_H18a zenon_Hc5 zenon_H51 zenon_H3c zenon_H1b7 zenon_H84 zenon_H181 zenon_H187 zenon_Hd2 zenon_H17c zenon_Hc7 zenon_H35 zenon_H74 zenon_H95 zenon_H1e2 zenon_H18d zenon_H25 zenon_H22c zenon_H64 zenon_H7a zenon_H6f zenon_H28 zenon_H198 zenon_Hb0 zenon_Hd3 zenon_Hb1 zenon_H91 zenon_H8c zenon_H8d zenon_H86 zenon_H7e zenon_H7f zenon_H7d zenon_H1cb zenon_H90 zenon_H53 zenon_Hf5 zenon_H100 zenon_H1e6 zenon_H1f0 zenon_Hda zenon_H56 zenon_H200 zenon_Hc0 zenon_H5e.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H68 | zenon_intro zenon_He9 ].
% 10.23/10.38 exact (zenon_H22c zenon_H68).
% 10.23/10.38 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Heb | zenon_intro zenon_Hea ].
% 10.23/10.38 exact (zenon_He8 zenon_Heb).
% 10.23/10.38 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H78 | zenon_intro zenon_He5 ].
% 10.23/10.38 apply (zenon_L761_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1e | zenon_intro zenon_H1b2 ].
% 10.23/10.38 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hb5 ].
% 10.23/10.38 apply (zenon_L20_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H78 | zenon_intro zenon_Hb6 ].
% 10.23/10.38 apply (zenon_L761_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H89 ].
% 10.23/10.38 exact (zenon_Hb1 zenon_Hb7).
% 10.23/10.38 apply (zenon_L250_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1d | zenon_intro zenon_H1b3 ].
% 10.23/10.38 exact (zenon_H192 zenon_H1d).
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H77 | zenon_intro zenon_Hf2 ].
% 10.23/10.38 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H4b | zenon_intro zenon_Hc2 ].
% 10.23/10.38 apply (zenon_L763_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc3 ].
% 10.23/10.38 exact (zenon_Hc1 zenon_Hc4).
% 10.23/10.38 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hbd ].
% 10.23/10.38 apply (zenon_L48_); trivial.
% 10.23/10.38 exact (zenon_H1b0 zenon_Hbd).
% 10.23/10.38 apply (zenon_L206_); trivial.
% 10.23/10.38 (* end of lemma zenon_L764_ *)
% 10.23/10.38 assert (zenon_L765_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (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) (e1)) = (e3)) -> ((op (e2) (e1)) = (e0)) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> False).
% 10.23/10.38 do 0 intro. intros zenon_Hde zenon_Hc1 zenon_H1f zenon_H192 zenon_He8 zenon_H191 zenon_H4b zenon_H78 zenon_H44 zenon_Hf2 zenon_H35.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H34 | zenon_intro zenon_He1 ].
% 10.23/10.38 apply (zenon_L331_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_Hb4 | zenon_intro zenon_He2 ].
% 10.23/10.38 apply (zenon_L334_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ].
% 10.23/10.38 apply (zenon_L57_); trivial.
% 10.23/10.38 apply (zenon_L63_); trivial.
% 10.23/10.38 (* end of lemma zenon_L765_ *)
% 10.23/10.38 assert (zenon_L766_ : (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e2)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (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 (e2) (e1)) = (e0)) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> False).
% 10.23/10.38 do 0 intro. intros zenon_H22d zenon_H22c zenon_H1f0 zenon_Hb4 zenon_Hde zenon_Hc1 zenon_H1f zenon_H192 zenon_He8 zenon_H191 zenon_H78 zenon_H44 zenon_Hf2 zenon_H35.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H68 | zenon_intro zenon_H22e ].
% 10.23/10.38 exact (zenon_H22c zenon_H68).
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H1e | zenon_intro zenon_H22f ].
% 10.23/10.38 apply (zenon_L327_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H34 | zenon_intro zenon_H4b ].
% 10.23/10.38 apply (zenon_L330_); trivial.
% 10.23/10.38 apply (zenon_L765_); trivial.
% 10.23/10.38 (* end of lemma zenon_L766_ *)
% 10.23/10.38 assert (zenon_L767_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (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) (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 (e3) (e0)) = (e3)) -> (~((e1) = (e3))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 10.23/10.38 do 0 intro. intros zenon_He7 zenon_H35 zenon_H44 zenon_H22d zenon_H22c zenon_H1f0 zenon_Hde zenon_Hc1 zenon_H1f zenon_H192 zenon_He8 zenon_H191 zenon_H1b1 zenon_Hf5 zenon_Hbc zenon_H4c zenon_H5e zenon_H100 zenon_H1e6 zenon_H7e.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H68 | zenon_intro zenon_He9 ].
% 10.23/10.38 exact (zenon_H22c zenon_H68).
% 10.23/10.38 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Heb | zenon_intro zenon_Hea ].
% 10.23/10.38 exact (zenon_He8 zenon_Heb).
% 10.23/10.38 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H78 | zenon_intro zenon_He5 ].
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1e | zenon_intro zenon_H1b2 ].
% 10.23/10.38 apply (zenon_L329_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1d | zenon_intro zenon_H1b3 ].
% 10.23/10.38 exact (zenon_H192 zenon_H1d).
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H77 | zenon_intro zenon_Hf2 ].
% 10.23/10.38 apply (zenon_L22_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H34 | zenon_intro zenon_He1 ].
% 10.23/10.38 apply (zenon_L331_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_Hb4 | zenon_intro zenon_He2 ].
% 10.23/10.38 apply (zenon_L766_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ].
% 10.23/10.38 apply (zenon_L57_); trivial.
% 10.23/10.38 apply (zenon_L63_); trivial.
% 10.23/10.38 apply (zenon_L364_); trivial.
% 10.23/10.38 (* end of lemma zenon_L767_ *)
% 10.23/10.38 assert (zenon_L768_ : (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (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 (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((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 (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (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 (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e1) (e0)) = (e0)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (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 (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> False).
% 10.23/10.38 do 0 intro. intros zenon_Hbb zenon_H205 zenon_H212 zenon_Hc5 zenon_H91 zenon_H51 zenon_H3c zenon_H173 zenon_Hfd zenon_H1fb zenon_H1f8 zenon_H14d zenon_H177 zenon_H1af zenon_H195 zenon_H1ef zenon_H16b zenon_H114 zenon_H152 zenon_H204 zenon_H4a zenon_H1ea zenon_H158 zenon_H144 zenon_Hf8 zenon_H155 zenon_H108 zenon_H145 zenon_H12f zenon_H97 zenon_H10b zenon_H103 zenon_H132 zenon_H42 zenon_H1dd zenon_H156 zenon_H11d zenon_Hae zenon_H168 zenon_H150 zenon_H159 zenon_Hec zenon_H12c zenon_Hdd zenon_Hce zenon_H128 zenon_H58 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_Hc6 zenon_H112 zenon_Hab zenon_H67 zenon_H1de zenon_H56 zenon_H1b4 zenon_H1cb zenon_H69 zenon_Hf5 zenon_H100 zenon_H1e6 zenon_H1f0 zenon_H28 zenon_H4c zenon_Hb0 zenon_Hd3 zenon_H5e zenon_H8c zenon_H181 zenon_H7a zenon_H1b7 zenon_H187 zenon_H198 zenon_H17c zenon_H86 zenon_H84 zenon_H18a zenon_H90 zenon_H53 zenon_He3 zenon_Hda zenon_H1f zenon_H22d zenon_H44 zenon_Hde zenon_H22c zenon_He8 zenon_H1b1 zenon_Hd2 zenon_H1e2 zenon_H35 zenon_H95 zenon_H18d zenon_H25 zenon_H64 zenon_H6f zenon_H7d zenon_H200 zenon_H191 zenon_H1b0 zenon_Hc0 zenon_H192 zenon_He7 zenon_H151.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.23/10.38 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.23/10.38 apply (zenon_L129_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.23/10.38 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.23/10.38 exact (zenon_H56 zenon_H2c).
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.23/10.38 apply (zenon_L760_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.23/10.38 apply (zenon_L12_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdb ].
% 10.23/10.38 exact (zenon_H28 zenon_H31).
% 10.23/10.38 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H6c | zenon_intro zenon_Hdc ].
% 10.23/10.38 apply (zenon_L18_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H74 | zenon_intro zenon_Hbc ].
% 10.23/10.38 apply (zenon_L764_); trivial.
% 10.23/10.38 apply (zenon_L767_); trivial.
% 10.23/10.38 apply (zenon_L623_); trivial.
% 10.23/10.38 exact (zenon_H1b0 zenon_Hbd).
% 10.23/10.38 apply (zenon_L266_); trivial.
% 10.23/10.38 apply (zenon_L704_); trivial.
% 10.23/10.38 apply (zenon_L435_); trivial.
% 10.23/10.38 apply (zenon_L488_); trivial.
% 10.23/10.38 (* end of lemma zenon_L768_ *)
% 10.23/10.38 assert (zenon_L769_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((e2) = (e3))) -> (((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 (e1) (e1)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (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) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (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) (e1)) = (op (e1) (e3)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e3) (e0)) = (op (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 (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((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 (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (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) (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))) -> (~((e0) = (e1))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (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)) = (e0))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((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 (e0) (e0)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> False).
% 10.23/10.38 do 0 intro. intros zenon_H151 zenon_He7 zenon_H192 zenon_Hc0 zenon_H1b0 zenon_H191 zenon_H200 zenon_H25 zenon_H95 zenon_H1e2 zenon_H1b1 zenon_He8 zenon_H22c zenon_Hde zenon_H22d zenon_H1f zenon_Hda zenon_He3 zenon_H1b7 zenon_H181 zenon_H8c zenon_Hb0 zenon_H4c zenon_H28 zenon_H1de zenon_H67 zenon_Hab zenon_H112 zenon_Hc6 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H58 zenon_H128 zenon_Hce zenon_H12c zenon_Hec zenon_H159 zenon_H150 zenon_H168 zenon_Hae zenon_H11d zenon_H156 zenon_H1dd zenon_H132 zenon_H103 zenon_H10b zenon_H97 zenon_H12f zenon_H145 zenon_H155 zenon_H144 zenon_H1ea zenon_H4a zenon_H204 zenon_H152 zenon_H114 zenon_H16b zenon_H1ef zenon_H195 zenon_H1af zenon_H177 zenon_H14d zenon_H1f8 zenon_H1fb zenon_Hfd zenon_H173 zenon_H212 zenon_H205 zenon_Hbb zenon_H158 zenon_H42 zenon_H18d zenon_H7a zenon_H7d zenon_H108 zenon_H53 zenon_H5e zenon_H1cb zenon_Hf8 zenon_H64 zenon_H187 zenon_Hb1 zenon_H3c zenon_Hc5 zenon_H198 zenon_H9a zenon_Hdd zenon_H1f0 zenon_H1e6 zenon_H100 zenon_H7e zenon_Hf5 zenon_H35 zenon_H69 zenon_H44 zenon_H27 zenon_Hd3 zenon_H91 zenon_H17c zenon_H90 zenon_H1b4 zenon_H56 zenon_H6f zenon_H18a zenon_H84 zenon_H86 zenon_Hd2.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.23/10.38 exact (zenon_H25 zenon_H2a).
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.23/10.38 exact (zenon_H22c zenon_H68).
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.23/10.38 apply (zenon_L768_); trivial.
% 10.23/10.38 apply (zenon_L533_); trivial.
% 10.23/10.38 (* end of lemma zenon_L769_ *)
% 10.23/10.38 assert (zenon_L770_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (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)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e2) (e1)) = (e2))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e0) (e0)) = (e1))) -> (((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) (e2)) = (e0))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((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 (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 10.23/10.38 do 0 intro. intros zenon_Hf8 zenon_H1f8 zenon_H155 zenon_H108 zenon_H1cb zenon_H25 zenon_H22c zenon_H18d zenon_He3 zenon_H1ae zenon_H157 zenon_H56 zenon_H1b4 zenon_Hb0 zenon_Hb1 zenon_H90 zenon_H9a zenon_H17c zenon_H91 zenon_Hd3 zenon_H5e zenon_H187 zenon_H64 zenon_H28 zenon_H53 zenon_H4c zenon_Hf5 zenon_H7e zenon_H100 zenon_H1e6 zenon_H1f0 zenon_Hda zenon_H1af zenon_H198 zenon_H195 zenon_H69 zenon_H192 zenon_H191 zenon_H159 zenon_H1ea zenon_H7d zenon_H7a zenon_H8d zenon_H6f zenon_Hdd zenon_H35 zenon_H44 zenon_H27 zenon_H42 zenon_H86 zenon_H18a zenon_H3a zenon_H3c zenon_H200.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.23/10.38 exact (zenon_H25 zenon_H2a).
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.23/10.38 exact (zenon_H22c zenon_H68).
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.23/10.38 apply (zenon_L729_); trivial.
% 10.23/10.38 apply (zenon_L531_); trivial.
% 10.23/10.38 apply (zenon_L752_); trivial.
% 10.23/10.38 (* end of lemma zenon_L770_ *)
% 10.23/10.38 assert (zenon_L771_ : ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((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))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (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) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((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)) = (e1))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((e0) = (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)))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (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) (e0)) = (e1))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.23/10.38 do 0 intro. intros zenon_H150 zenon_H84 zenon_H200 zenon_H3c zenon_H3a zenon_H18a zenon_H86 zenon_H42 zenon_H27 zenon_H44 zenon_H35 zenon_Hdd zenon_H6f zenon_H7a zenon_H7d zenon_H1ea zenon_H159 zenon_H191 zenon_H192 zenon_H69 zenon_H195 zenon_H198 zenon_H1af zenon_Hda zenon_H1f0 zenon_H1e6 zenon_H100 zenon_H7e zenon_Hf5 zenon_H4c zenon_H53 zenon_H28 zenon_H64 zenon_H187 zenon_H5e zenon_Hd3 zenon_H91 zenon_H17c zenon_H9a zenon_H90 zenon_Hb1 zenon_Hb0 zenon_H1b4 zenon_H56 zenon_H157 zenon_H1ae zenon_He3 zenon_H18d zenon_H22c zenon_H25 zenon_H1cb zenon_H108 zenon_H155 zenon_H1f8 zenon_Hf8.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.23/10.38 apply (zenon_L770_); trivial.
% 10.23/10.38 apply (zenon_L266_); trivial.
% 10.23/10.38 (* end of lemma zenon_L771_ *)
% 10.23/10.38 assert (zenon_L772_ : (~((e0) = (e2))) -> ((op (e2) (e1)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (e2))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> False).
% 10.23/10.38 do 0 intro. intros zenon_H44 zenon_H78 zenon_H191 zenon_He8 zenon_H192 zenon_H1f zenon_Hc1 zenon_Hde zenon_H1f0 zenon_H22c zenon_H22d zenon_H1ae zenon_Hf2 zenon_H35.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H34 | zenon_intro zenon_He1 ].
% 10.23/10.38 apply (zenon_L331_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_Hb4 | zenon_intro zenon_He2 ].
% 10.23/10.38 apply (zenon_L766_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ].
% 10.23/10.38 exact (zenon_H1ae zenon_Hb8).
% 10.23/10.38 apply (zenon_L63_); trivial.
% 10.23/10.38 (* end of lemma zenon_L772_ *)
% 10.23/10.38 assert (zenon_L773_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (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))))) -> (~((e0) = (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 (e3) (e0)) = (e3)) -> (~((e1) = (e3))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 10.23/10.38 do 0 intro. intros zenon_He7 zenon_H35 zenon_H1ae zenon_H22d zenon_H22c zenon_H1f0 zenon_Hde zenon_Hc1 zenon_H1f zenon_H192 zenon_He8 zenon_H191 zenon_H44 zenon_H1b1 zenon_Hf5 zenon_Hbc zenon_H4c zenon_H5e zenon_H100 zenon_H1e6 zenon_H7e.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H68 | zenon_intro zenon_He9 ].
% 10.23/10.38 exact (zenon_H22c zenon_H68).
% 10.23/10.38 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Heb | zenon_intro zenon_Hea ].
% 10.23/10.38 exact (zenon_He8 zenon_Heb).
% 10.23/10.38 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H78 | zenon_intro zenon_He5 ].
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1e | zenon_intro zenon_H1b2 ].
% 10.23/10.38 apply (zenon_L329_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1d | zenon_intro zenon_H1b3 ].
% 10.23/10.38 exact (zenon_H192 zenon_H1d).
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H77 | zenon_intro zenon_Hf2 ].
% 10.23/10.38 apply (zenon_L22_); trivial.
% 10.23/10.38 apply (zenon_L772_); trivial.
% 10.23/10.38 apply (zenon_L364_); trivial.
% 10.23/10.38 (* end of lemma zenon_L773_ *)
% 10.23/10.38 assert (zenon_L774_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (e2))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((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))))) -> False).
% 10.23/10.38 do 0 intro. intros zenon_H151 zenon_H1b0 zenon_H22c zenon_He8 zenon_H1b1 zenon_H191 zenon_Hc1 zenon_H1f zenon_H22d zenon_H44 zenon_H35 zenon_Hde zenon_H1ae zenon_H5e zenon_H192 zenon_H4c zenon_Hbc zenon_H1f0 zenon_H1e6 zenon_H100 zenon_Hf5 zenon_He7.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.23/10.38 apply (zenon_L773_); trivial.
% 10.23/10.38 exact (zenon_H1b0 zenon_Hbd).
% 10.23/10.38 (* end of lemma zenon_L774_ *)
% 10.23/10.38 assert (zenon_L775_ : (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (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) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (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 (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((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 (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (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) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((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)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (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 (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e0))) -> (((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) (e0)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((~((op (e3) (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 (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((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 (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((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 (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e2) (e1)) = (e2))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> False).
% 10.23/10.38 do 0 intro. intros zenon_H212 zenon_Hc5 zenon_H3c zenon_H173 zenon_Hfd zenon_H1fb zenon_H1f8 zenon_H14d zenon_H177 zenon_H1ef zenon_H16b zenon_H114 zenon_H152 zenon_H204 zenon_H4a zenon_H1ea zenon_H158 zenon_H144 zenon_Hf8 zenon_H155 zenon_H108 zenon_H145 zenon_H12f zenon_H97 zenon_H10b zenon_H103 zenon_H132 zenon_H42 zenon_H1dd zenon_H11d zenon_Hae zenon_H168 zenon_H150 zenon_H159 zenon_Hec zenon_Hdd zenon_H128 zenon_H58 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_Hc6 zenon_H112 zenon_Hab zenon_H67 zenon_H1de zenon_H1cb zenon_Hf5 zenon_H1e6 zenon_H1f0 zenon_H8c zenon_H181 zenon_H7a zenon_H1b7 zenon_H86 zenon_H18a zenon_H6f zenon_H1f zenon_H22d zenon_H44 zenon_Hde zenon_H22c zenon_He8 zenon_H1e2 zenon_H18d zenon_H25 zenon_H7d zenon_H200 zenon_H1b0 zenon_Hc0 zenon_He7 zenon_H151 zenon_H191 zenon_H192 zenon_H69 zenon_H195 zenon_H156 zenon_Hd2 zenon_Hce zenon_H198 zenon_H35 zenon_H1b1 zenon_Hbb zenon_H95 zenon_H205 zenon_H12c zenon_H1b4 zenon_H28 zenon_H53 zenon_Hb0 zenon_H4c zenon_H90 zenon_H17c zenon_Hd3 zenon_H5e zenon_H51 zenon_H187 zenon_H64 zenon_He3 zenon_H84 zenon_Hda zenon_H56 zenon_H1ae zenon_H157 zenon_H1af.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.23/10.38 apply (zenon_L740_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.23/10.38 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.23/10.38 apply (zenon_L129_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.23/10.38 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.23/10.38 exact (zenon_H56 zenon_H2c).
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.23/10.38 apply (zenon_L760_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.23/10.38 apply (zenon_L228_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdb ].
% 10.23/10.38 exact (zenon_H28 zenon_H31).
% 10.23/10.38 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H6c | zenon_intro zenon_Hdc ].
% 10.23/10.38 apply (zenon_L18_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H74 | zenon_intro zenon_Hbc ].
% 10.23/10.38 apply (zenon_L764_); trivial.
% 10.23/10.38 apply (zenon_L773_); trivial.
% 10.23/10.38 apply (zenon_L623_); trivial.
% 10.23/10.38 exact (zenon_H1b0 zenon_Hbd).
% 10.23/10.38 apply (zenon_L774_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.23/10.38 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 10.23/10.38 exact (zenon_H56 zenon_H2c).
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 10.23/10.38 apply (zenon_L123_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 10.23/10.38 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdb ].
% 10.23/10.38 exact (zenon_H28 zenon_H31).
% 10.23/10.38 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H6c | zenon_intro zenon_Hdc ].
% 10.23/10.38 apply (zenon_L18_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H74 | zenon_intro zenon_Hbc ].
% 10.23/10.38 apply (zenon_L21_); trivial.
% 10.23/10.38 apply (zenon_L717_); trivial.
% 10.23/10.38 apply (zenon_L474_); trivial.
% 10.23/10.38 apply (zenon_L472_); trivial.
% 10.23/10.38 exact (zenon_H1b0 zenon_Hbd).
% 10.23/10.38 apply (zenon_L354_); trivial.
% 10.23/10.38 exact (zenon_H1ae zenon_Hb8).
% 10.23/10.38 apply (zenon_L732_); trivial.
% 10.23/10.38 apply (zenon_L739_); trivial.
% 10.23/10.38 (* end of lemma zenon_L775_ *)
% 10.23/10.38 assert (zenon_L776_ : ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((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) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (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) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (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) (e1)) = (op (e1) (e3)))) -> (~((op (e3) (e0)) = (op (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 (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((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 (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((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 (e0) (e3)))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (((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 (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((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))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> False).
% 10.23/10.38 do 0 intro. intros zenon_H1af zenon_H157 zenon_H1ae zenon_Hda zenon_H84 zenon_He3 zenon_H4c zenon_Hb0 zenon_H28 zenon_H12c zenon_H205 zenon_H95 zenon_Hbb zenon_H1b1 zenon_Hce zenon_Hd2 zenon_H156 zenon_H195 zenon_H192 zenon_H191 zenon_H151 zenon_He7 zenon_Hc0 zenon_H1b0 zenon_H200 zenon_H25 zenon_H1e2 zenon_He8 zenon_H22c zenon_Hde zenon_H22d zenon_H1f zenon_H1b7 zenon_H181 zenon_H8c zenon_H1de zenon_H67 zenon_Hab zenon_H112 zenon_Hc6 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H58 zenon_H128 zenon_Hec zenon_H159 zenon_H150 zenon_H168 zenon_Hae zenon_H11d zenon_H1dd zenon_H132 zenon_H103 zenon_H10b zenon_H97 zenon_H12f zenon_H145 zenon_H155 zenon_H144 zenon_H158 zenon_H1ea zenon_H4a zenon_H204 zenon_H152 zenon_H114 zenon_H16b zenon_H1ef zenon_H177 zenon_H14d zenon_H1f8 zenon_H1fb zenon_Hfd zenon_H173 zenon_Hc5 zenon_H212 zenon_Hf8 zenon_H1cb zenon_H5e zenon_Hb1 zenon_H53 zenon_H108 zenon_H56 zenon_H1b4 zenon_H3c zenon_H3a zenon_Hd3 zenon_H91 zenon_H18a zenon_H7d zenon_H7a zenon_H86 zenon_H18d zenon_H17c zenon_H187 zenon_H90 zenon_H42 zenon_H27 zenon_H44 zenon_H69 zenon_H35 zenon_Hf5 zenon_H7e zenon_H100 zenon_H1e6 zenon_H1f0 zenon_Hdd zenon_H9a zenon_H198 zenon_H6f zenon_H64.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.23/10.38 exact (zenon_H25 zenon_H2a).
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.23/10.38 exact (zenon_H22c zenon_H68).
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.23/10.38 apply (zenon_L775_); trivial.
% 10.23/10.38 apply (zenon_L532_); trivial.
% 10.23/10.38 (* end of lemma zenon_L776_ *)
% 10.23/10.38 assert (zenon_L777_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e2) (e0)) = (e1)) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (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 (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (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))))) -> (((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 (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))) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (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 (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> False).
% 10.23/10.38 do 0 intro. intros zenon_H1e2 zenon_H76 zenon_H1ae zenon_Hc7 zenon_H150 zenon_He3 zenon_H56 zenon_H42 zenon_H181 zenon_H6e zenon_H6f zenon_H35 zenon_H27 zenon_H4c zenon_H95 zenon_H14d zenon_H192 zenon_H1f zenon_H191 zenon_Hdd zenon_He7 zenon_H17a zenon_H84 zenon_Hc0 zenon_H5e zenon_He8 zenon_H44 zenon_H91 zenon_H17c zenon_H9a zenon_H90 zenon_H159 zenon_H53 zenon_H165 zenon_H18a zenon_H86 zenon_H43 zenon_H187 zenon_H64.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_Hcf | zenon_intro zenon_H1e3 ].
% 10.23/10.38 apply (zenon_L47_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H1e4 ].
% 10.23/10.38 exact (zenon_H1ae zenon_Hb8).
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd0 ].
% 10.23/10.38 exact (zenon_Hc7 zenon_H3a).
% 10.23/10.38 apply (zenon_L412_); trivial.
% 10.23/10.38 (* end of lemma zenon_L777_ *)
% 10.23/10.38 assert (zenon_L778_ : (~((e1) = (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) (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 (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (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))))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (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 (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (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) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 10.23/10.38 do 0 intro. intros zenon_H35 zenon_H90 zenon_Hd3 zenon_H91 zenon_H18a zenon_H17c zenon_H18d zenon_H86 zenon_H7a zenon_H43 zenon_H7e zenon_H7f zenon_H7d zenon_H6e zenon_H159 zenon_H27 zenon_Hdd zenon_H6f zenon_He7 zenon_H44 zenon_He8 zenon_H5e zenon_Hc0 zenon_H95 zenon_H4c zenon_H84 zenon_H17a zenon_H42 zenon_H1e2 zenon_H1ae zenon_H150 zenon_He3 zenon_H56 zenon_H181 zenon_H14d zenon_H192 zenon_H1f zenon_H191 zenon_H53 zenon_H165 zenon_H64 zenon_H198 zenon_H1b4 zenon_Hc8 zenon_Hc7 zenon_H3c zenon_Hb1 zenon_Hc5 zenon_H9a zenon_H187.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.23/10.38 exact (zenon_H56 zenon_H2c).
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 10.23/10.38 exact (zenon_H56 zenon_H2c).
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 10.23/10.38 apply (zenon_L194_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 10.23/10.38 apply (zenon_L777_); trivial.
% 10.23/10.38 apply (zenon_L415_); trivial.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.23/10.38 apply (zenon_L103_); trivial.
% 10.23/10.38 apply (zenon_L202_); trivial.
% 10.23/10.38 (* end of lemma zenon_L778_ *)
% 10.23/10.38 assert (zenon_L779_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (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 (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (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))))) -> (((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 (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))) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (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) (e0)) = (op (e1) (e2)))) -> (~((e0) = (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 (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (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 (e1) (e3)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> False).
% 10.23/10.38 do 0 intro. intros zenon_Hf8 zenon_H155 zenon_H108 zenon_H56 zenon_H1b4 zenon_Hd3 zenon_H7d zenon_H7e zenon_H7a zenon_H18d zenon_H35 zenon_H1ae zenon_Hc7 zenon_H150 zenon_He3 zenon_H42 zenon_H181 zenon_H6e zenon_H6f zenon_H27 zenon_H4c zenon_H95 zenon_H14d zenon_H192 zenon_H1f zenon_H191 zenon_Hdd zenon_He7 zenon_H17a zenon_H84 zenon_Hc0 zenon_H5e zenon_He8 zenon_H44 zenon_H91 zenon_H17c zenon_H90 zenon_H159 zenon_H53 zenon_H165 zenon_H18a zenon_H86 zenon_H43 zenon_H187 zenon_H64 zenon_H1e2 zenon_H9a zenon_H198 zenon_Hc5 zenon_Hc8 zenon_H3c zenon_Hb1.
% 10.23/10.38 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.23/10.38 apply (zenon_L778_); trivial.
% 10.23/10.38 apply (zenon_L254_); trivial.
% 10.23/10.38 (* end of lemma zenon_L779_ *)
% 10.23/10.38 assert (zenon_L780_ : ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((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))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((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)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((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 (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e3)) = (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)) = (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 (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (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) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e2) (e1)) = (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 (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e0) (e1)) = (op (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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> False).
% 10.23/10.39 do 0 intro. intros zenon_H157 zenon_Hd2 zenon_H56 zenon_H198 zenon_H9a zenon_H1e2 zenon_H64 zenon_H187 zenon_H43 zenon_H86 zenon_H18a zenon_H165 zenon_H53 zenon_H159 zenon_H90 zenon_H17c zenon_H44 zenon_He8 zenon_H5e zenon_Hc0 zenon_H84 zenon_H17a zenon_He7 zenon_Hdd zenon_H191 zenon_H1f zenon_H192 zenon_H14d zenon_H95 zenon_H4c zenon_H27 zenon_H6f zenon_H6e zenon_H181 zenon_H42 zenon_He3 zenon_H150 zenon_H1ae zenon_H35 zenon_H1b1 zenon_Hbb zenon_H205 zenon_H12c zenon_Hcf zenon_Hd3 zenon_H1b4 zenon_Hc6 zenon_H158.
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.23/10.39 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 10.23/10.39 exact (zenon_H56 zenon_H2c).
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 10.23/10.39 apply (zenon_L194_); trivial.
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 10.23/10.39 apply (zenon_L777_); trivial.
% 10.23/10.39 apply (zenon_L388_); trivial.
% 10.23/10.39 apply (zenon_L412_); trivial.
% 10.23/10.39 apply (zenon_L321_); trivial.
% 10.23/10.39 exact (zenon_H1ae zenon_Hb8).
% 10.23/10.39 (* end of lemma zenon_L780_ *)
% 10.23/10.39 assert (zenon_L781_ : ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((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))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((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)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((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 (e1) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e3)) = (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)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (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) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e2) (e1)) = (e2))) -> (~((e1) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (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))))) -> (~((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)) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((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)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((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))))) -> False).
% 10.23/10.39 do 0 intro. intros zenon_H1af zenon_H157 zenon_Hd2 zenon_H3c zenon_Hc5 zenon_H198 zenon_H1e2 zenon_H64 zenon_H187 zenon_H43 zenon_H86 zenon_H18a zenon_H165 zenon_H53 zenon_H159 zenon_H90 zenon_H17c zenon_H44 zenon_H5e zenon_Hc0 zenon_H84 zenon_H17a zenon_He7 zenon_Hdd zenon_H1f zenon_H14d zenon_H95 zenon_H4c zenon_H27 zenon_H6f zenon_H181 zenon_H42 zenon_He3 zenon_H150 zenon_H1ae zenon_H35 zenon_H18d zenon_H7a zenon_H7e zenon_H7d zenon_Hd3 zenon_H1b4 zenon_H56 zenon_H108 zenon_H155 zenon_Hf8 zenon_H158 zenon_H1b1 zenon_Hbb zenon_H205 zenon_H12c zenon_Hc6 zenon_H156 zenon_He8 zenon_H192 zenon_H16e zenon_H6e zenon_H191.
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.23/10.39 apply (zenon_L224_); trivial.
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.23/10.39 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.23/10.39 apply (zenon_L779_); trivial.
% 10.23/10.39 apply (zenon_L412_); trivial.
% 10.23/10.39 apply (zenon_L223_); trivial.
% 10.23/10.39 exact (zenon_H1ae zenon_Hb8).
% 10.23/10.39 apply (zenon_L780_); trivial.
% 10.23/10.39 (* end of lemma zenon_L781_ *)
% 10.23/10.39 assert (zenon_L782_ : (((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 (e1) (e3)) = (e2)) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> False).
% 10.23/10.39 do 0 intro. intros zenon_H21d zenon_H43 zenon_H181 zenon_H9a zenon_H17c zenon_H9b zenon_Hb9 zenon_H184.
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H89 | zenon_intro zenon_H21e ].
% 10.23/10.39 apply (zenon_L548_); trivial.
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_H8a | zenon_intro zenon_H21f ].
% 10.23/10.39 apply (zenon_L166_); trivial.
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H11f ].
% 10.23/10.39 apply (zenon_L162_); trivial.
% 10.23/10.39 apply (zenon_L549_); trivial.
% 10.23/10.39 (* end of lemma zenon_L782_ *)
% 10.23/10.39 assert (zenon_L783_ : ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (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).
% 10.23/10.39 do 0 intro. intros zenon_H18d zenon_H11f zenon_H205 zenon_H7a zenon_H43 zenon_H7e zenon_H7f zenon_H7d.
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.23/10.39 apply (zenon_L24_); trivial.
% 10.23/10.39 apply (zenon_L385_); trivial.
% 10.23/10.39 (* end of lemma zenon_L783_ *)
% 10.23/10.39 assert (zenon_L784_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (~((e0) = (e1))) -> ((op (e2) (e1)) = (e0)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (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 (e2) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (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).
% 10.23/10.39 do 0 intro. intros zenon_H12c zenon_H91 zenon_H5e zenon_H78 zenon_H4c zenon_H90 zenon_H184 zenon_H9b zenon_H17c zenon_H9a zenon_H181 zenon_H21d zenon_Hc8 zenon_H18d zenon_H205 zenon_H7a zenon_H43 zenon_H7e zenon_H7f zenon_H7d.
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H74 | zenon_intro zenon_H12d ].
% 10.23/10.39 apply (zenon_L483_); trivial.
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H12e ].
% 10.23/10.39 apply (zenon_L782_); trivial.
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hcd | zenon_intro zenon_H11f ].
% 10.23/10.39 exact (zenon_Hc8 zenon_Hcd).
% 10.23/10.39 apply (zenon_L783_); trivial.
% 10.23/10.39 (* end of lemma zenon_L784_ *)
% 10.23/10.39 assert (zenon_L785_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (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 (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((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)) = (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) (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 (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))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (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 (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (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 (e1) (e0)) = (op (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 (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((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 (e2) (e2)) = (e1))) -> (~((e0) = (e1))) -> ((op (e2) (e1)) = (e0)) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (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 (e2) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (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).
% 10.23/10.39 do 0 intro. intros zenon_Hae zenon_H69 zenon_Haf zenon_H191 zenon_H16e zenon_H192 zenon_He8 zenon_H156 zenon_Hc6 zenon_Hbb zenon_H1b1 zenon_H158 zenon_Hf8 zenon_H155 zenon_H108 zenon_H56 zenon_H1b4 zenon_Hd3 zenon_H35 zenon_H1ae zenon_H150 zenon_He3 zenon_H42 zenon_H6f zenon_H27 zenon_H95 zenon_H14d zenon_H1f zenon_Hdd zenon_He7 zenon_H17a zenon_H84 zenon_Hc0 zenon_H44 zenon_H159 zenon_H53 zenon_H165 zenon_H18a zenon_H86 zenon_H187 zenon_H64 zenon_H1e2 zenon_H198 zenon_Hc5 zenon_H3c zenon_Hd2 zenon_H157 zenon_H1af zenon_H12c zenon_H91 zenon_H5e zenon_H78 zenon_H4c zenon_H90 zenon_H184 zenon_H17c zenon_H9a zenon_H181 zenon_H21d zenon_Hc8 zenon_H18d zenon_H205 zenon_H7a zenon_H43 zenon_H7e zenon_H7f zenon_H7d.
% 10.23/10.39 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6a | zenon_intro zenon_Hb2 ].
% 10.23/10.39 apply (zenon_L17_); trivial.
% 10.23/10.39 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb3 ].
% 10.23/10.39 exact (zenon_Haf zenon_Hb4).
% 10.23/10.39 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H6e | zenon_intro zenon_H9b ].
% 10.23/10.39 apply (zenon_L781_); trivial.
% 10.23/10.39 apply (zenon_L784_); trivial.
% 10.23/10.39 (* end of lemma zenon_L785_ *)
% 10.23/10.39 assert (zenon_L786_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e3)) = (op (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 (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (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 (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (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))))) -> (((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 (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))) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (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 (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> False).
% 10.23/10.39 do 0 intro. intros zenon_H200 zenon_H25 zenon_H22c zenon_H7a zenon_H1cb zenon_H1b7 zenon_H150 zenon_He3 zenon_H56 zenon_H42 zenon_Hd0 zenon_H181 zenon_H6e zenon_H6f zenon_H35 zenon_H27 zenon_H4c zenon_H95 zenon_H14d zenon_H192 zenon_H1f zenon_H191 zenon_Hdd zenon_He7 zenon_H17a zenon_H84 zenon_Hc0 zenon_H5e zenon_He8 zenon_H44 zenon_H91 zenon_H17c zenon_H9a zenon_H90 zenon_H159 zenon_H53 zenon_H165 zenon_H18a zenon_H86 zenon_H187 zenon_H64.
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.23/10.39 exact (zenon_H25 zenon_H2a).
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.23/10.39 exact (zenon_H22c zenon_H68).
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.23/10.39 apply (zenon_L418_); trivial.
% 10.23/10.39 apply (zenon_L412_); trivial.
% 10.23/10.39 (* end of lemma zenon_L786_ *)
% 10.23/10.39 assert (zenon_L787_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e3) (e1)) = (e2)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e3)) = (op (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 (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (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 (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (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))))) -> (((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 (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))) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (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 (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> False).
% 10.23/10.39 do 0 intro. intros zenon_H1e2 zenon_Hbb zenon_H12c zenon_Hc8 zenon_H205 zenon_Hd3 zenon_H1b1 zenon_H198 zenon_H1b4 zenon_Hd6 zenon_H114 zenon_Hc7 zenon_H200 zenon_H25 zenon_H22c zenon_H7a zenon_H1cb zenon_H1b7 zenon_H150 zenon_He3 zenon_H56 zenon_H42 zenon_H181 zenon_H6e zenon_H6f zenon_H35 zenon_H27 zenon_H4c zenon_H95 zenon_H14d zenon_H192 zenon_H1f zenon_H191 zenon_Hdd zenon_He7 zenon_H17a zenon_H84 zenon_Hc0 zenon_H5e zenon_He8 zenon_H44 zenon_H91 zenon_H17c zenon_H9a zenon_H90 zenon_H159 zenon_H53 zenon_H165 zenon_H18a zenon_H86 zenon_H187 zenon_H64.
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_Hcf | zenon_intro zenon_H1e3 ].
% 10.23/10.39 apply (zenon_L396_); trivial.
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H1e4 ].
% 10.23/10.39 apply (zenon_L398_); trivial.
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd0 ].
% 10.23/10.39 exact (zenon_Hc7 zenon_H3a).
% 10.23/10.39 apply (zenon_L786_); trivial.
% 10.23/10.39 (* end of lemma zenon_L787_ *)
% 10.23/10.39 assert (zenon_L788_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e3) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e2))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e0))) -> ((op (e2) (e0)) = (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 (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e3)) = (op (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 (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (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 (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (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))))) -> (((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 (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))) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (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 (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> False).
% 10.23/10.39 do 0 intro. intros zenon_Hde zenon_He5 zenon_Haf zenon_H1e zenon_Hb1 zenon_H76 zenon_Hb0 zenon_H1e2 zenon_Hbb zenon_H12c zenon_Hc8 zenon_H205 zenon_Hd3 zenon_H1b1 zenon_H198 zenon_H1b4 zenon_H114 zenon_Hc7 zenon_H200 zenon_H25 zenon_H22c zenon_H7a zenon_H1cb zenon_H1b7 zenon_H150 zenon_He3 zenon_H56 zenon_H42 zenon_H181 zenon_H6e zenon_H6f zenon_H35 zenon_H27 zenon_H4c zenon_H95 zenon_H14d zenon_H192 zenon_H1f zenon_H191 zenon_Hdd zenon_He7 zenon_H17a zenon_H84 zenon_Hc0 zenon_H5e zenon_He8 zenon_H44 zenon_H91 zenon_H17c zenon_H9a zenon_H90 zenon_H159 zenon_H53 zenon_H165 zenon_H18a zenon_H86 zenon_H187 zenon_H64.
% 10.23/10.39 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H34 | zenon_intro zenon_He1 ].
% 10.23/10.39 apply (zenon_L404_); trivial.
% 10.23/10.39 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_Hb4 | zenon_intro zenon_He2 ].
% 10.23/10.39 exact (zenon_Haf zenon_Hb4).
% 10.23/10.39 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ].
% 10.23/10.39 apply (zenon_L395_); trivial.
% 10.23/10.39 apply (zenon_L787_); trivial.
% 10.23/10.39 (* end of lemma zenon_L788_ *)
% 10.23/10.39 assert (zenon_L789_ : (((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 (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((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 (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 10.23/10.39 do 0 intro. intros zenon_Hae zenon_H44 zenon_H69 zenon_Haf zenon_H181 zenon_H6f zenon_H1e zenon_H35 zenon_H27 zenon_H42 zenon_Hd0 zenon_H17c.
% 10.23/10.39 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6a | zenon_intro zenon_Hb2 ].
% 10.23/10.39 apply (zenon_L17_); trivial.
% 10.23/10.39 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb3 ].
% 10.23/10.39 exact (zenon_Haf zenon_Hb4).
% 10.23/10.39 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H6e | zenon_intro zenon_H9b ].
% 10.23/10.39 apply (zenon_L227_); trivial.
% 10.23/10.39 apply (zenon_L162_); trivial.
% 10.23/10.39 (* end of lemma zenon_L789_ *)
% 10.23/10.39 assert (zenon_L790_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e0)) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (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)) = (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 (e0) (e1)) = (op (e1) (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) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e3) (e3)) = (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 (e1) (e3)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (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) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (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) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (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)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (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) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> False).
% 10.23/10.39 do 0 intro. intros zenon_Hae zenon_H69 zenon_H158 zenon_Hf8 zenon_H155 zenon_H108 zenon_H56 zenon_Haf zenon_Hb0 zenon_Hd3 zenon_H53 zenon_H44 zenon_H5e zenon_H64 zenon_H165 zenon_H159 zenon_He8 zenon_Hc0 zenon_H17a zenon_He7 zenon_Hdd zenon_H191 zenon_H1f zenon_H14d zenon_He3 zenon_H150 zenon_H114 zenon_H1b4 zenon_H192 zenon_H84 zenon_H205 zenon_Hbb zenon_H1b1 zenon_H9a zenon_Hce zenon_Hd2 zenon_Hde zenon_H27 zenon_H35 zenon_H6f zenon_H90 zenon_H43 zenon_H17c zenon_H18d zenon_H86 zenon_H7a zenon_H7d zenon_H18a zenon_H91 zenon_H1e2 zenon_H181 zenon_H95 zenon_H4c zenon_Hab zenon_H7e zenon_H198 zenon_H12c zenon_H1bc zenon_H42 zenon_Hc5 zenon_H3c zenon_H156 zenon_H187 zenon_H47.
% 10.23/10.39 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6a | zenon_intro zenon_Hb2 ].
% 10.23/10.39 apply (zenon_L17_); trivial.
% 10.23/10.39 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb3 ].
% 10.23/10.39 exact (zenon_Haf zenon_Hb4).
% 10.23/10.39 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H6e | zenon_intro zenon_H9b ].
% 10.23/10.39 apply (zenon_L453_); trivial.
% 10.23/10.39 apply (zenon_L243_); trivial.
% 10.23/10.39 (* end of lemma zenon_L790_ *)
% 10.23/10.39 assert (zenon_L791_ : ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((e2) = (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) (e2)) = (e1))) -> (((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 (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (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 (e3) (e3)) = (e3)) -> (~((op (e1) (e1)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (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) (e1)) = (op (e1) (e1)))) -> (((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 (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 (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((op (e1) (e0)) = (e0)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> ((op (e2) (e3)) = (e2)) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 10.23/10.39 do 0 intro. intros zenon_H156 zenon_H3c zenon_Hc5 zenon_H42 zenon_H1bc zenon_H12c zenon_H198 zenon_H7e zenon_Hab zenon_H4c zenon_H95 zenon_H181 zenon_H1e2 zenon_H91 zenon_H18a zenon_H7d zenon_H7a zenon_H86 zenon_H18d zenon_H17c zenon_H43 zenon_H90 zenon_H6f zenon_H35 zenon_H27 zenon_Hde zenon_Hd2 zenon_Hce zenon_H1b1 zenon_Hbb zenon_H205 zenon_H84 zenon_H192 zenon_H1b4 zenon_H114 zenon_H150 zenon_He3 zenon_H14d zenon_H1f zenon_H191 zenon_Hdd zenon_He7 zenon_H17a zenon_Hc0 zenon_He8 zenon_H159 zenon_H165 zenon_H64 zenon_H5e zenon_H44 zenon_H53 zenon_Hd3 zenon_Hb0 zenon_Haf zenon_H56 zenon_H108 zenon_H155 zenon_Hf8 zenon_H158 zenon_H69 zenon_Hae zenon_H8d zenon_Hd0 zenon_H9a zenon_H187.
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.23/10.39 exact (zenon_H56 zenon_H2c).
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.23/10.39 apply (zenon_L789_); trivial.
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 10.23/10.39 exact (zenon_H27 zenon_H32).
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 10.23/10.39 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6a | zenon_intro zenon_Hb2 ].
% 10.23/10.39 apply (zenon_L17_); trivial.
% 10.23/10.39 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb3 ].
% 10.23/10.39 exact (zenon_Haf zenon_Hb4).
% 10.23/10.39 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H6e | zenon_intro zenon_H9b ].
% 10.23/10.39 apply (zenon_L410_); trivial.
% 10.23/10.39 apply (zenon_L162_); trivial.
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 10.23/10.39 apply (zenon_L70_); trivial.
% 10.23/10.39 apply (zenon_L790_); trivial.
% 10.23/10.39 apply (zenon_L202_); trivial.
% 10.23/10.39 (* end of lemma zenon_L791_ *)
% 10.23/10.39 assert (zenon_L792_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e2)) -> ((op (e3) (e1)) = (e1)) -> (~((e0) = (e1))) -> ((op (e3) (e2)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 10.23/10.39 do 0 intro. intros zenon_H14d zenon_H44 zenon_Hd8 zenon_Hf2 zenon_H5e zenon_Hed zenon_H53 zenon_H8d.
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_He4 | zenon_intro zenon_H14e ].
% 10.23/10.39 apply (zenon_L99_); trivial.
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_He5 | zenon_intro zenon_H14f ].
% 10.23/10.39 apply (zenon_L206_); trivial.
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H106 | zenon_intro zenon_H7b ].
% 10.23/10.39 apply (zenon_L73_); trivial.
% 10.23/10.39 exact (zenon_H8d zenon_H7b).
% 10.23/10.39 (* end of lemma zenon_L792_ *)
% 10.23/10.39 assert (zenon_L793_ : (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e3) (e1)) = (e0)) -> False).
% 10.23/10.39 do 0 intro. intros zenon_H1b1 zenon_H35 zenon_H192 zenon_H17a zenon_H84 zenon_H4c zenon_H34 zenon_H95 zenon_Hc0 zenon_H5e zenon_He5.
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1e | zenon_intro zenon_H1b2 ].
% 10.23/10.39 apply (zenon_L4_); trivial.
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1d | zenon_intro zenon_H1b3 ].
% 10.23/10.39 exact (zenon_H192 zenon_H1d).
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H77 | zenon_intro zenon_Hf2 ].
% 10.23/10.39 apply (zenon_L399_); trivial.
% 10.23/10.39 apply (zenon_L206_); trivial.
% 10.23/10.39 (* end of lemma zenon_L793_ *)
% 10.23/10.39 assert (zenon_L794_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e1) (e0)) = (e0)) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (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))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e1)) = (e2))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((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) (e3)) = (e0))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> (~((e0) = (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))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((e1) = (e3))) -> ((op (e0) (e1)) = (e2)) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e1))) -> False).
% 10.23/10.39 do 0 intro. intros zenon_Hdd zenon_H27 zenon_H69 zenon_Hd2 zenon_Hce zenon_H56 zenon_H198 zenon_H9a zenon_Hbb zenon_H205 zenon_H12c zenon_Hd3 zenon_H17c zenon_H90 zenon_H1b4 zenon_H1ae zenon_H157 zenon_He7 zenon_H22c zenon_He8 zenon_H8d zenon_H53 zenon_Hed zenon_H44 zenon_H14d zenon_H1b1 zenon_H35 zenon_H192 zenon_H17a zenon_H84 zenon_H4c zenon_H34 zenon_H95 zenon_Hc0 zenon_H5e.
% 10.23/10.39 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hdf ].
% 10.23/10.39 exact (zenon_H27 zenon_H32).
% 10.23/10.39 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H6a | zenon_intro zenon_He0 ].
% 10.23/10.39 apply (zenon_L17_); trivial.
% 10.23/10.39 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd8 ].
% 10.23/10.39 apply (zenon_L737_); trivial.
% 10.23/10.39 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H68 | zenon_intro zenon_He9 ].
% 10.23/10.39 exact (zenon_H22c zenon_H68).
% 10.23/10.39 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Heb | zenon_intro zenon_Hea ].
% 10.23/10.39 exact (zenon_He8 zenon_Heb).
% 10.23/10.39 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H78 | zenon_intro zenon_He5 ].
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1e | zenon_intro zenon_H1b2 ].
% 10.23/10.39 apply (zenon_L4_); trivial.
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1d | zenon_intro zenon_H1b3 ].
% 10.23/10.39 exact (zenon_H192 zenon_H1d).
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H77 | zenon_intro zenon_Hf2 ].
% 10.23/10.39 apply (zenon_L22_); trivial.
% 10.23/10.39 apply (zenon_L792_); trivial.
% 10.23/10.39 apply (zenon_L793_); trivial.
% 10.23/10.39 (* end of lemma zenon_L794_ *)
% 10.23/10.39 assert (zenon_L795_ : ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> ((op (e2) (e2)) = (e2)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e0)) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (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)) = (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 (e0) (e1)) = (op (e1) (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) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e3) (e3)) = (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 (e1) (e3)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (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) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (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) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (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)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (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) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 10.23/10.39 do 0 intro. intros zenon_Hed zenon_H8d zenon_H22c zenon_H157 zenon_H1ae zenon_H3a zenon_Hae zenon_H69 zenon_H158 zenon_Hf8 zenon_H155 zenon_H108 zenon_H56 zenon_Haf zenon_Hb0 zenon_Hd3 zenon_H53 zenon_H44 zenon_H5e zenon_H64 zenon_H165 zenon_H159 zenon_He8 zenon_Hc0 zenon_H17a zenon_He7 zenon_Hdd zenon_H191 zenon_H1f zenon_H14d zenon_He3 zenon_H150 zenon_H114 zenon_H1b4 zenon_H192 zenon_H84 zenon_H205 zenon_Hbb zenon_H1b1 zenon_H9a zenon_Hce zenon_Hd2 zenon_Hde zenon_H27 zenon_H35 zenon_H6f zenon_H90 zenon_H43 zenon_H17c zenon_H18d zenon_H86 zenon_H7a zenon_H7d zenon_H18a zenon_H91 zenon_H1e2 zenon_H181 zenon_H95 zenon_H4c zenon_Hab zenon_H7e zenon_H198 zenon_H12c zenon_H1bc zenon_H42 zenon_Hc5 zenon_H3c zenon_H156 zenon_H187.
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 10.23/10.39 exact (zenon_H27 zenon_H32).
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 10.23/10.39 apply (zenon_L794_); trivial.
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 10.23/10.39 apply (zenon_L5_); trivial.
% 10.23/10.39 apply (zenon_L790_); trivial.
% 10.23/10.39 (* end of lemma zenon_L795_ *)
% 10.23/10.39 assert (zenon_L796_ : (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (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) (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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (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 (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (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 (e1) (e2)))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e3))) -> (~((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) (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 (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) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (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 (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (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 (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (e3))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e0)) = (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))))) -> False).
% 10.23/10.39 do 0 intro. intros zenon_H1bc zenon_Hab zenon_Hce zenon_H56 zenon_H22c zenon_He8 zenon_Hae zenon_H21d zenon_H184 zenon_H16e zenon_H156 zenon_Hc6 zenon_H12c zenon_H205 zenon_Hbb zenon_H1b1 zenon_H158 zenon_Hf8 zenon_H155 zenon_H108 zenon_H1b4 zenon_Hd3 zenon_H7d zenon_H7a zenon_H18d zenon_H35 zenon_H1ae zenon_H150 zenon_He3 zenon_H42 zenon_H181 zenon_H6f zenon_H27 zenon_H4c zenon_H95 zenon_H14d zenon_H1f zenon_Hdd zenon_He7 zenon_H17a zenon_H84 zenon_Hc0 zenon_H5e zenon_H17c zenon_H90 zenon_H159 zenon_H53 zenon_H165 zenon_H18a zenon_H86 zenon_H43 zenon_H187 zenon_H64 zenon_H1e2 zenon_Hc5 zenon_H3c zenon_Hd2 zenon_H157 zenon_H1af zenon_H44 zenon_Hb0 zenon_H25 zenon_H1b7 zenon_H1cb zenon_H200 zenon_H114 zenon_Hde zenon_H198 zenon_H1b0 zenon_H151 zenon_H1fb zenon_H195 zenon_H69 zenon_H192 zenon_Haf zenon_H191.
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.23/10.39 apply (zenon_L191_); trivial.
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.23/10.39 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.23/10.39 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.23/10.39 exact (zenon_H56 zenon_H2c).
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 10.23/10.39 exact (zenon_H56 zenon_H2c).
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 10.23/10.39 apply (zenon_L194_); trivial.
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 10.23/10.39 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H68 | zenon_intro zenon_He9 ].
% 10.23/10.39 exact (zenon_H22c zenon_H68).
% 10.23/10.39 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Heb | zenon_intro zenon_Hea ].
% 10.23/10.39 exact (zenon_He8 zenon_Heb).
% 10.23/10.39 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H78 | zenon_intro zenon_He5 ].
% 10.23/10.39 apply (zenon_L785_); trivial.
% 10.23/10.39 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6a | zenon_intro zenon_Hb2 ].
% 10.23/10.39 apply (zenon_L17_); trivial.
% 10.23/10.39 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb3 ].
% 10.23/10.39 exact (zenon_Haf zenon_Hb4).
% 10.23/10.39 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H6e | zenon_intro zenon_H9b ].
% 10.23/10.39 apply (zenon_L788_); trivial.
% 10.23/10.39 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hb5 ].
% 10.23/10.39 apply (zenon_L43_); trivial.
% 10.23/10.39 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H78 | zenon_intro zenon_Hb6 ].
% 10.23/10.39 apply (zenon_L784_); trivial.
% 10.23/10.39 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H89 ].
% 10.23/10.39 exact (zenon_Hb1 zenon_Hb7).
% 10.23/10.39 apply (zenon_L548_); trivial.
% 10.23/10.39 apply (zenon_L525_); trivial.
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.23/10.39 apply (zenon_L103_); trivial.
% 10.23/10.39 apply (zenon_L202_); trivial.
% 10.23/10.39 apply (zenon_L254_); trivial.
% 10.23/10.39 exact (zenon_H1b0 zenon_Hbd).
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.23/10.39 apply (zenon_L791_); trivial.
% 10.23/10.39 exact (zenon_H1b0 zenon_Hbd).
% 10.23/10.39 apply (zenon_L266_); trivial.
% 10.23/10.39 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.23/10.39 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 10.23/10.39 exact (zenon_H27 zenon_H32).
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 10.23/10.39 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H68 | zenon_intro zenon_He9 ].
% 10.23/10.39 exact (zenon_H22c zenon_H68).
% 10.23/10.39 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Heb | zenon_intro zenon_Hea ].
% 10.23/10.39 exact (zenon_He8 zenon_Heb).
% 10.23/10.39 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H78 | zenon_intro zenon_He5 ].
% 10.23/10.39 apply (zenon_L785_); trivial.
% 10.23/10.39 apply (zenon_L404_); trivial.
% 10.23/10.39 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 10.23/10.39 apply (zenon_L5_); trivial.
% 10.23/10.39 apply (zenon_L790_); trivial.
% 10.23/10.39 apply (zenon_L795_); trivial.
% 10.23/10.39 exact (zenon_H1b0 zenon_Hbd).
% 10.23/10.39 apply (zenon_L266_); trivial.
% 10.23/10.39 apply (zenon_L354_); trivial.
% 10.23/10.39 exact (zenon_H1ae zenon_Hb8).
% 10.23/10.39 apply (zenon_L737_); trivial.
% 10.23/10.39 (* end of lemma zenon_L796_ *)
% 10.23/10.39 assert (zenon_L797_ : (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((~((op (e3) (e3)) = (e1)))\/((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 (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e0) (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 (e1) (e3)) = (op (e3) (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 (e1) (e0)) = (op (e1) (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) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (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) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (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))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e3)) = (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 (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((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 (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((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 (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e1)) = (e2))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((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) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (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 (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((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)) = (e2)))\/((op (e1) (e2)) = (e1))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((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)) = (e1)))\/((op (e1) (e1)) = (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)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> False).
% 10.23/10.39 do 0 intro. intros zenon_H1fb zenon_H151 zenon_H1b0 zenon_Hde zenon_H114 zenon_H200 zenon_H1cb zenon_H1b7 zenon_H44 zenon_H3c zenon_Hc5 zenon_H1e2 zenon_H86 zenon_H18a zenon_H165 zenon_H159 zenon_Hc0 zenon_H17a zenon_He7 zenon_Hdd zenon_H1f zenon_H14d zenon_H6f zenon_H181 zenon_H42 zenon_H150 zenon_H18d zenon_H7a zenon_H7d zenon_H108 zenon_H155 zenon_Hf8 zenon_H158 zenon_Hc6 zenon_H16e zenon_H184 zenon_H21d zenon_Hae zenon_Hab zenon_H1bc zenon_H191 zenon_H192 zenon_H69 zenon_H195 zenon_H156 zenon_Hd2 zenon_Hce zenon_H198 zenon_H35 zenon_H1b1 zenon_Hbb zenon_H95 zenon_H205 zenon_H12c zenon_H1b4 zenon_H53 zenon_Hb0 zenon_H4c zenon_H90 zenon_H17c zenon_Hd3 zenon_H5e zenon_H187 zenon_H64 zenon_He3 zenon_H84 zenon_Hda zenon_H1ae zenon_H157 zenon_H1af zenon_H22c zenon_H212 zenon_H112 zenon_H22d zenon_H1de zenon_H67 zenon_H1f0 zenon_Hf5 zenon_H168 zenon_Hec zenon_H8c zenon_H128 zenon_H58 zenon_H1ba zenon_H1c0 zenon_H1c3 zenon_H11d zenon_H1dd zenon_H144 zenon_H145 zenon_H12f zenon_H97 zenon_H10b zenon_H103 zenon_H132 zenon_H1ea zenon_H4a zenon_H204 zenon_Hfd zenon_H1f8 zenon_H177 zenon_H1e6 zenon_H1ef zenon_H16b zenon_H152 zenon_H173 zenon_H174.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.26/10.40 exact (zenon_H25 zenon_H2a).
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.26/10.40 exact (zenon_H22c zenon_H68).
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.26/10.40 apply (zenon_L740_); trivial.
% 10.26/10.40 apply (zenon_L796_); trivial.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.26/10.40 apply (zenon_L743_); trivial.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.26/10.40 apply (zenon_L695_); trivial.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.26/10.40 apply (zenon_L756_); trivial.
% 10.26/10.40 exact (zenon_H1b0 zenon_Hbd).
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.26/10.40 apply (zenon_L776_); trivial.
% 10.26/10.40 exact (zenon_H1b0 zenon_Hbd).
% 10.26/10.40 exact (zenon_H1ae zenon_Hb8).
% 10.26/10.40 apply (zenon_L737_); trivial.
% 10.26/10.40 apply (zenon_L468_); trivial.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.26/10.40 apply (zenon_L796_); trivial.
% 10.26/10.40 apply (zenon_L745_); trivial.
% 10.26/10.40 apply (zenon_L468_); trivial.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.26/10.40 apply (zenon_L775_); trivial.
% 10.26/10.40 apply (zenon_L468_); trivial.
% 10.26/10.40 apply (zenon_L343_); trivial.
% 10.26/10.40 exact (zenon_H22c zenon_H68).
% 10.26/10.40 apply (zenon_L100_); trivial.
% 10.26/10.40 (* end of lemma zenon_L797_ *)
% 10.26/10.40 assert (zenon_L798_ : ((~((op (e2) (e2)) = (e1)))\/(~((op (e2) (e1)) = (e2)))) -> (((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)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (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 (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 (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 (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((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) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (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 (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((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)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((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)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (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 (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)) = (op (e2) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (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 (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (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) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e1) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((~((op (e3) (e3)) = (e1)))\/(~((op (e3) (e1)) = (e3)))) -> False).
% 10.26/10.40 do 0 intro. intros zenon_H22a zenon_H21d zenon_H184 zenon_H174 zenon_H212 zenon_H22c zenon_H191 zenon_H195 zenon_He3 zenon_Hec zenon_H12c zenon_H1dd zenon_H1de zenon_H3c zenon_Hda zenon_H128 zenon_H8c zenon_Hb0 zenon_H97 zenon_H1e2 zenon_H18a zenon_H10b zenon_H1e6 zenon_H112 zenon_Hde zenon_Hab zenon_H16f zenon_H67 zenon_Hc6 zenon_H168 zenon_Hae zenon_H11d zenon_H144 zenon_H4a zenon_H204 zenon_H152 zenon_H114 zenon_H1ef zenon_H1f zenon_H1f0 zenon_Hf5 zenon_H177 zenon_H200 zenon_H1f8 zenon_H1fb zenon_Hfd zenon_H173 zenon_H18d zenon_H1b7 zenon_H7a zenon_H58 zenon_H198 zenon_H6f zenon_H159 zenon_H35 zenon_H1b1 zenon_H16b zenon_H14d zenon_H157 zenon_H64 zenon_H187 zenon_H95 zenon_H4c zenon_H42 zenon_H181 zenon_H53 zenon_He7 zenon_Hc0 zenon_Hd3 zenon_Hd2 zenon_H1af zenon_Hdd zenon_Hce zenon_H1b4 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H150 zenon_Hc5 zenon_H155 zenon_H5e zenon_H145 zenon_H158 zenon_Hf8 zenon_H108 zenon_H1cb zenon_H103 zenon_H132 zenon_H86 zenon_H7d zenon_H17c zenon_H90 zenon_H156 zenon_H16e zenon_H1ea zenon_H165 zenon_H17a zenon_Hbb zenon_H205 zenon_H18e zenon_H44 zenon_H192 zenon_H69 zenon_H12f zenon_H22d zenon_H151 zenon_H22b.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H91 | zenon_intro zenon_H1ae ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H7e | zenon_intro zenon_H1b0 ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.26/10.40 apply (zenon_L100_); trivial.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.26/10.40 exact (zenon_H192 zenon_H1d).
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.26/10.40 apply (zenon_L466_); trivial.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.26/10.40 exact (zenon_H25 zenon_H2a).
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.26/10.40 exact (zenon_H22c zenon_H68).
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.26/10.40 apply (zenon_L618_); trivial.
% 10.26/10.40 apply (zenon_L24_); trivial.
% 10.26/10.40 apply (zenon_L523_); trivial.
% 10.26/10.40 apply (zenon_L472_); trivial.
% 10.26/10.40 apply (zenon_L354_); trivial.
% 10.26/10.40 apply (zenon_L321_); trivial.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.26/10.40 apply (zenon_L755_); trivial.
% 10.26/10.40 apply (zenon_L235_); trivial.
% 10.26/10.40 apply (zenon_L468_); trivial.
% 10.26/10.40 apply (zenon_L624_); trivial.
% 10.26/10.40 apply (zenon_L619_); trivial.
% 10.26/10.40 exact (zenon_H22c zenon_H68).
% 10.26/10.40 apply (zenon_L100_); trivial.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.26/10.40 apply (zenon_L466_); trivial.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.26/10.40 apply (zenon_L523_); trivial.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.26/10.40 apply (zenon_L757_); trivial.
% 10.26/10.40 apply (zenon_L755_); trivial.
% 10.26/10.40 apply (zenon_L235_); trivial.
% 10.26/10.40 apply (zenon_L535_); trivial.
% 10.26/10.40 apply (zenon_L626_); trivial.
% 10.26/10.40 exact (zenon_H22c zenon_H68).
% 10.26/10.40 apply (zenon_L100_); trivial.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.26/10.40 apply (zenon_L100_); trivial.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.26/10.40 exact (zenon_H192 zenon_H1d).
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.26/10.40 apply (zenon_L694_); trivial.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.26/10.40 apply (zenon_L758_); trivial.
% 10.26/10.40 apply (zenon_L523_); trivial.
% 10.26/10.40 apply (zenon_L623_); trivial.
% 10.26/10.40 exact (zenon_H1b0 zenon_Hbd).
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.26/10.40 apply (zenon_L758_); trivial.
% 10.26/10.40 apply (zenon_L769_); trivial.
% 10.26/10.40 apply (zenon_L752_); trivial.
% 10.26/10.40 exact (zenon_H1b0 zenon_Hbd).
% 10.26/10.40 apply (zenon_L235_); trivial.
% 10.26/10.40 apply (zenon_L468_); trivial.
% 10.26/10.40 apply (zenon_L703_); trivial.
% 10.26/10.40 apply (zenon_L707_); trivial.
% 10.26/10.40 exact (zenon_H22c zenon_H68).
% 10.26/10.40 apply (zenon_L100_); trivial.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.26/10.40 apply (zenon_L694_); trivial.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.26/10.40 apply (zenon_L523_); trivial.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.26/10.40 apply (zenon_L769_); trivial.
% 10.26/10.40 exact (zenon_H1b0 zenon_Hbd).
% 10.26/10.40 apply (zenon_L235_); trivial.
% 10.26/10.40 apply (zenon_L468_); trivial.
% 10.26/10.40 apply (zenon_L708_); trivial.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.26/10.40 apply (zenon_L694_); trivial.
% 10.26/10.40 apply (zenon_L768_); trivial.
% 10.26/10.40 apply (zenon_L468_); trivial.
% 10.26/10.40 apply (zenon_L343_); trivial.
% 10.26/10.40 exact (zenon_H22c zenon_H68).
% 10.26/10.40 apply (zenon_L100_); trivial.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H7e | zenon_intro zenon_H1b0 ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.26/10.40 apply (zenon_L100_); trivial.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.26/10.40 exact (zenon_H192 zenon_H1d).
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.26/10.40 apply (zenon_L709_); trivial.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.26/10.40 apply (zenon_L727_); trivial.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.26/10.40 apply (zenon_L770_); trivial.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.26/10.40 apply (zenon_L753_); trivial.
% 10.26/10.40 apply (zenon_L771_); trivial.
% 10.26/10.40 apply (zenon_L267_); trivial.
% 10.26/10.40 exact (zenon_H1ae zenon_Hb8).
% 10.26/10.40 apply (zenon_L321_); trivial.
% 10.26/10.40 apply (zenon_L736_); trivial.
% 10.26/10.40 apply (zenon_L733_); trivial.
% 10.26/10.40 exact (zenon_H22c zenon_H68).
% 10.26/10.40 apply (zenon_L100_); trivial.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.26/10.40 apply (zenon_L709_); trivial.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.26/10.40 apply (zenon_L727_); trivial.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.26/10.40 apply (zenon_L757_); trivial.
% 10.26/10.40 apply (zenon_L771_); trivial.
% 10.26/10.40 exact (zenon_H1ae zenon_Hb8).
% 10.26/10.40 apply (zenon_L737_); trivial.
% 10.26/10.40 apply (zenon_L738_); trivial.
% 10.26/10.40 apply (zenon_L741_); trivial.
% 10.26/10.40 exact (zenon_H22c zenon_H68).
% 10.26/10.40 apply (zenon_L100_); trivial.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.26/10.40 apply (zenon_L100_); trivial.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.26/10.40 exact (zenon_H192 zenon_H1d).
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.26/10.40 apply (zenon_L742_); trivial.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.26/10.40 apply (zenon_L743_); trivial.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.26/10.40 exact (zenon_H25 zenon_H2a).
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.26/10.40 exact (zenon_H22c zenon_H68).
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.26/10.40 apply (zenon_L486_); trivial.
% 10.26/10.40 apply (zenon_L748_); trivial.
% 10.26/10.40 apply (zenon_L776_); trivial.
% 10.26/10.40 apply (zenon_L752_); trivial.
% 10.26/10.40 exact (zenon_H1b0 zenon_Hbd).
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.26/10.40 apply (zenon_L753_); trivial.
% 10.26/10.40 apply (zenon_L776_); trivial.
% 10.26/10.40 apply (zenon_L267_); trivial.
% 10.26/10.40 exact (zenon_H1b0 zenon_Hbd).
% 10.26/10.40 exact (zenon_H1ae zenon_Hb8).
% 10.26/10.40 apply (zenon_L321_); trivial.
% 10.26/10.40 apply (zenon_L468_); trivial.
% 10.26/10.40 apply (zenon_L749_); trivial.
% 10.26/10.40 apply (zenon_L750_); trivial.
% 10.26/10.40 exact (zenon_H22c zenon_H68).
% 10.26/10.40 apply (zenon_L100_); trivial.
% 10.26/10.40 apply (zenon_L797_); trivial.
% 10.26/10.40 (* end of lemma zenon_L798_ *)
% 10.26/10.40 assert (zenon_L799_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e3) (e3)) = (e0))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (((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) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (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 (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (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)) = (op (e0) (e3)))) -> (((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)) = (e0)) -> (~((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 (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.26/10.40 do 0 intro. intros zenon_H151 zenon_H1b0 zenon_H18d zenon_H56 zenon_Hb0 zenon_Hb1 zenon_H8d zenon_H4c zenon_H53 zenon_H28 zenon_H198 zenon_H188 zenon_H95 zenon_Hd3 zenon_H91 zenon_H8c zenon_H1b7 zenon_H187 zenon_H7a zenon_Hdd zenon_Hce zenon_H128 zenon_H5e zenon_H86 zenon_H7d zenon_H58 zenon_H90 zenon_H1ba zenon_H2a zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_Hda zenon_H15a zenon_H35 zenon_H27 zenon_Hc5 zenon_Hc8 zenon_Hc7 zenon_H3c zenon_H64 zenon_H108 zenon_H155 zenon_Hf8.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.26/10.40 apply (zenon_L310_); trivial.
% 10.26/10.40 exact (zenon_H1b0 zenon_Hbd).
% 10.26/10.40 (* end of lemma zenon_L799_ *)
% 10.26/10.40 assert (zenon_L800_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (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 (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((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 (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> (~((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)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.26/10.40 do 0 intro. intros zenon_H151 zenon_H1b0 zenon_H18d zenon_He3 zenon_H56 zenon_H42 zenon_H1bc zenon_H15a zenon_Hd3 zenon_H91 zenon_H8c zenon_H5e zenon_H86 zenon_H7a zenon_H7d zenon_H90 zenon_H6e zenon_H6f zenon_H35 zenon_H27 zenon_Hc5 zenon_Hc8 zenon_Hc7 zenon_H3c zenon_Hb1 zenon_H1b1 zenon_H1cb zenon_H159 zenon_Hec zenon_H103 zenon_H1c0 zenon_Hbc zenon_H4c zenon_H95 zenon_H128 zenon_H53 zenon_H2a zenon_H58 zenon_H12c zenon_H192 zenon_H181 zenon_H64 zenon_H1dd zenon_Hf8.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.26/10.40 apply (zenon_L268_); trivial.
% 10.26/10.40 exact (zenon_H1b0 zenon_Hbd).
% 10.26/10.40 (* end of lemma zenon_L800_ *)
% 10.26/10.40 assert (zenon_L801_ : ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (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 (e2) (e2)) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (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)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> (~((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 (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((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 (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> False).
% 10.26/10.40 do 0 intro. intros zenon_H150 zenon_Hf8 zenon_Hc1 zenon_H1e6 zenon_H1de zenon_H10b zenon_H108 zenon_H132 zenon_H28 zenon_H4c zenon_H90 zenon_H86 zenon_H8c zenon_H91 zenon_H56 zenon_Hd3 zenon_H42 zenon_H181 zenon_H95 zenon_Hda zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H2a zenon_H1ba zenon_Hdd zenon_H53 zenon_H5e zenon_Hb1 zenon_H18a zenon_H187 zenon_Hc7 zenon_H1e2 zenon_H198 zenon_H17c zenon_Hb0 zenon_H97 zenon_H7d zenon_H7a zenon_H64 zenon_Hd0 zenon_Hce zenon_H15a zenon_H35 zenon_H27 zenon_H192 zenon_H103 zenon_Hec zenon_H159 zenon_H1cb zenon_H1b1 zenon_H1b7 zenon_H58 zenon_H18d zenon_H1b0 zenon_H151.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.26/10.40 apply (zenon_L287_); trivial.
% 10.26/10.40 exact (zenon_H1b0 zenon_Hbd).
% 10.26/10.40 apply (zenon_L221_); trivial.
% 10.26/10.40 (* end of lemma zenon_L801_ *)
% 10.26/10.40 assert (zenon_L802_ : ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (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 (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 (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((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))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (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)) = (op (e2) (e0)))) -> (((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 (e1) (e3)) = (op (e3) (e3)))) -> (((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)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (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) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((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 (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (((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)) = (e1))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> False).
% 10.26/10.40 do 0 intro. intros zenon_H168 zenon_H156 zenon_H97 zenon_H17c zenon_H1e2 zenon_H18a zenon_H132 zenon_H10b zenon_H1e6 zenon_H1de zenon_Hf8 zenon_H108 zenon_H64 zenon_H3c zenon_H27 zenon_H35 zenon_Hda zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H90 zenon_H7d zenon_H86 zenon_H128 zenon_Hce zenon_Hdd zenon_H8c zenon_Hd3 zenon_H198 zenon_H28 zenon_H53 zenon_Hb0 zenon_H56 zenon_H18d zenon_H1b0 zenon_H151 zenon_H95 zenon_H4c zenon_He3 zenon_H42 zenon_H6f zenon_H1b1 zenon_H1cb zenon_H159 zenon_Hec zenon_H103 zenon_H12c zenon_H1dd zenon_H150 zenon_H191 zenon_H6e zenon_H16e zenon_H192 zenon_H158 zenon_H145 zenon_H5e zenon_H155 zenon_H91 zenon_Hc5 zenon_H2a zenon_H12f zenon_H1b7 zenon_H84 zenon_H7a zenon_H181 zenon_H187 zenon_H58 zenon_Hd2 zenon_H1af.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.26/10.40 apply (zenon_L461_); trivial.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H6c | zenon_intro zenon_H1df ].
% 10.26/10.40 apply (zenon_L236_); trivial.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H1e0 ].
% 10.26/10.40 exact (zenon_Hc1 zenon_Hc4).
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H161 | zenon_intro zenon_H188 ].
% 10.26/10.40 apply (zenon_L237_); trivial.
% 10.26/10.40 apply (zenon_L799_); trivial.
% 10.26/10.40 apply (zenon_L800_); trivial.
% 10.26/10.40 apply (zenon_L801_); trivial.
% 10.26/10.40 apply (zenon_L223_); trivial.
% 10.26/10.40 apply (zenon_L296_); trivial.
% 10.26/10.40 apply (zenon_L194_); trivial.
% 10.26/10.40 (* end of lemma zenon_L802_ *)
% 10.26/10.40 assert (zenon_L803_ : ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e1) (e2)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> False).
% 10.26/10.40 do 0 intro. intros zenon_H158 zenon_H145 zenon_H9a zenon_H5e zenon_H155 zenon_H91 zenon_Hc5 zenon_He8 zenon_H2a zenon_H12f zenon_H151 zenon_H1b0 zenon_H18d zenon_H58 zenon_H187 zenon_H181 zenon_H7a zenon_H1b7 zenon_H100 zenon_H7d zenon_H86 zenon_H64 zenon_H132 zenon_H103 zenon_H4c zenon_H1cb zenon_Hb1 zenon_H53 zenon_H108 zenon_H27 zenon_H35 zenon_H6f zenon_H6e zenon_H42 zenon_H56 zenon_Hf8 zenon_Hd2.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.26/10.40 apply (zenon_L193_); trivial.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.26/10.40 apply (zenon_L232_); trivial.
% 10.26/10.40 exact (zenon_H1b0 zenon_Hbd).
% 10.26/10.40 apply (zenon_L223_); trivial.
% 10.26/10.40 (* end of lemma zenon_L803_ *)
% 10.26/10.40 assert (zenon_L804_ : ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e0)) = (e2)) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> False).
% 10.26/10.40 do 0 intro. intros zenon_H157 zenon_H112 zenon_H145 zenon_H9a zenon_H5e zenon_H155 zenon_Hc7 zenon_Hc5 zenon_He8 zenon_H2a zenon_H12f zenon_Hce zenon_Hcf zenon_Hd2.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.26/10.40 apply (zenon_L193_); trivial.
% 10.26/10.40 apply (zenon_L44_); trivial.
% 10.26/10.40 apply (zenon_L79_); trivial.
% 10.26/10.40 (* end of lemma zenon_L804_ *)
% 10.26/10.40 assert (zenon_L805_ : ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> False).
% 10.26/10.40 do 0 intro. intros zenon_H158 zenon_Hc6 zenon_Hd2 zenon_Hcf zenon_Hce zenon_H12f zenon_H2a zenon_He8 zenon_Hc5 zenon_H155 zenon_H5e zenon_H9a zenon_H145 zenon_H112 zenon_H157.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.26/10.40 apply (zenon_L804_); trivial.
% 10.26/10.40 apply (zenon_L321_); trivial.
% 10.26/10.40 (* end of lemma zenon_L805_ *)
% 10.26/10.40 assert (zenon_L806_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((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)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.26/10.40 do 0 intro. intros zenon_H151 zenon_H1b0 zenon_H18d zenon_H188 zenon_H12f zenon_H2a zenon_He8 zenon_H5e zenon_H100 zenon_H7d zenon_H86 zenon_H145 zenon_H144 zenon_H10b zenon_H3a zenon_H3c zenon_H6f zenon_H132 zenon_Hf8.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.26/10.40 apply (zenon_L304_); trivial.
% 10.26/10.40 exact (zenon_H1b0 zenon_Hbd).
% 10.26/10.40 (* end of lemma zenon_L806_ *)
% 10.26/10.40 assert (zenon_L807_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e0)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e3))) -> (~((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) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> False).
% 10.26/10.40 do 0 intro. intros zenon_H97 zenon_H28 zenon_H1b0 zenon_H16b zenon_Hd8 zenon_H95 zenon_H114 zenon_H10b zenon_H80 zenon_Hc1 zenon_H34 zenon_Hc0 zenon_H187 zenon_H188.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H31 | zenon_intro zenon_H98 ].
% 10.26/10.40 exact (zenon_H28 zenon_H31).
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ].
% 10.26/10.40 apply (zenon_L184_); trivial.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H52 | zenon_intro zenon_H57 ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H4b | zenon_intro zenon_Hc2 ].
% 10.26/10.40 apply (zenon_L184_); trivial.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc3 ].
% 10.26/10.40 exact (zenon_Hc1 zenon_Hc4).
% 10.26/10.40 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hbd ].
% 10.26/10.40 apply (zenon_L366_); trivial.
% 10.26/10.40 exact (zenon_H1b0 zenon_Hbd).
% 10.26/10.40 apply (zenon_L167_); trivial.
% 10.26/10.40 (* end of lemma zenon_L807_ *)
% 10.26/10.40 assert (zenon_L808_ : (((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 (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e2)) -> False).
% 10.26/10.40 do 0 intro. intros zenon_Hae zenon_H35 zenon_H15a zenon_Haf zenon_H155 zenon_H3a zenon_H187 zenon_H47.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6a | zenon_intro zenon_Hb2 ].
% 10.26/10.40 apply (zenon_L238_); trivial.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb3 ].
% 10.26/10.40 exact (zenon_Haf zenon_Hb4).
% 10.26/10.40 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H6e | zenon_intro zenon_H9b ].
% 10.26/10.40 apply (zenon_L223_); trivial.
% 10.26/10.40 apply (zenon_L243_); trivial.
% 10.26/10.40 (* end of lemma zenon_L808_ *)
% 10.26/10.40 assert (zenon_L809_ : ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (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 (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (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)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> False).
% 10.26/10.40 do 0 intro. intros zenon_H1af zenon_H198 zenon_H42 zenon_Haf zenon_H155 zenon_Hae zenon_H3c zenon_H35 zenon_H15a zenon_Hc6 zenon_H3a zenon_H97 zenon_H188 zenon_H187 zenon_H16b zenon_H10b zenon_H114 zenon_H1b0 zenon_Hc0 zenon_H95 zenon_H28 zenon_Hdd zenon_H27 zenon_H86 zenon_H18d.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 10.26/10.40 exact (zenon_H27 zenon_H32).
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hdf ].
% 10.26/10.40 exact (zenon_H27 zenon_H32).
% 10.26/10.40 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H6a | zenon_intro zenon_He0 ].
% 10.26/10.40 apply (zenon_L238_); trivial.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd8 ].
% 10.26/10.40 apply (zenon_L321_); trivial.
% 10.26/10.40 apply (zenon_L807_); trivial.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 10.26/10.40 apply (zenon_L5_); trivial.
% 10.26/10.40 apply (zenon_L808_); trivial.
% 10.26/10.40 apply (zenon_L252_); trivial.
% 10.26/10.40 apply (zenon_L194_); trivial.
% 10.26/10.40 (* end of lemma zenon_L809_ *)
% 10.26/10.40 assert (zenon_L810_ : ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e2) (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) (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 (e2) (e2)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((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)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> False).
% 10.26/10.40 do 0 intro. intros zenon_H1ea zenon_H159 zenon_H18d zenon_H86 zenon_H27 zenon_Hdd zenon_H28 zenon_H95 zenon_Hc0 zenon_H1b0 zenon_H114 zenon_H10b zenon_H16b zenon_H187 zenon_H188 zenon_H97 zenon_H3a zenon_Hc6 zenon_H15a zenon_H35 zenon_H3c zenon_Hae zenon_H155 zenon_H42 zenon_H198 zenon_H1af.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.26/10.40 apply (zenon_L809_); trivial.
% 10.26/10.40 apply (zenon_L123_); trivial.
% 10.26/10.40 (* end of lemma zenon_L810_ *)
% 10.26/10.40 assert (zenon_L811_ : ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (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) (e3)) = (op (e1) (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)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((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) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e1))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> False).
% 10.26/10.40 do 0 intro. intros zenon_H168 zenon_H1af zenon_H198 zenon_H42 zenon_H155 zenon_Hae zenon_H35 zenon_Hc6 zenon_H97 zenon_H187 zenon_H16b zenon_H114 zenon_Hc0 zenon_H95 zenon_H28 zenon_Hdd zenon_H27 zenon_H159 zenon_H191 zenon_H188 zenon_H11d zenon_H192 zenon_H151 zenon_H1b0 zenon_H18d zenon_H12f zenon_H2a zenon_H5e zenon_H7d zenon_H86 zenon_H145 zenon_H144 zenon_H10b zenon_H3a zenon_H3c zenon_H6f zenon_H132 zenon_Hf8 zenon_H1ea.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.26/10.40 apply (zenon_L297_); trivial.
% 10.26/10.40 apply (zenon_L806_); trivial.
% 10.26/10.40 apply (zenon_L810_); trivial.
% 10.26/10.40 (* end of lemma zenon_L811_ *)
% 10.26/10.40 assert (zenon_L812_ : ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e1) (e1)) = (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 (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (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) (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) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (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)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (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)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> False).
% 10.26/10.40 do 0 intro. intros zenon_H158 zenon_H1ea zenon_H6f zenon_H144 zenon_H192 zenon_H11d zenon_H191 zenon_H159 zenon_Hdd zenon_Hc0 zenon_H114 zenon_H16b zenon_Hc6 zenon_Hae zenon_H198 zenon_H1af zenon_H168 zenon_H151 zenon_H1b0 zenon_H18d zenon_H188 zenon_H12f zenon_H2a zenon_He8 zenon_H5e zenon_H100 zenon_H7d zenon_H86 zenon_H145 zenon_H108 zenon_H53 zenon_Hb1 zenon_H155 zenon_H3c zenon_H91 zenon_Hc5 zenon_Hf8 zenon_H42 zenon_H181 zenon_H132 zenon_H103 zenon_H4c zenon_H35 zenon_H28 zenon_H95 zenon_H10b zenon_H187 zenon_H97 zenon_H27 zenon_Hd2.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.26/10.40 apply (zenon_L299_); trivial.
% 10.26/10.40 exact (zenon_H1b0 zenon_Hbd).
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.26/10.40 apply (zenon_L302_); trivial.
% 10.26/10.40 exact (zenon_H1b0 zenon_Hbd).
% 10.26/10.40 apply (zenon_L811_); trivial.
% 10.26/10.40 (* end of lemma zenon_L812_ *)
% 10.26/10.40 assert (zenon_L813_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (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) (e3)))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.26/10.40 do 0 intro. intros zenon_H151 zenon_H1b0 zenon_H18d zenon_H188 zenon_H12f zenon_H2a zenon_He8 zenon_H5e zenon_H100 zenon_H7d zenon_H86 zenon_H145 zenon_H1b4 zenon_H198 zenon_H35 zenon_H28 zenon_H4c zenon_H95 zenon_Hcf zenon_H1dd zenon_Hda zenon_H56 zenon_Hf8.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.26/10.40 apply (zenon_L309_); trivial.
% 10.26/10.40 exact (zenon_H1b0 zenon_Hbd).
% 10.26/10.40 (* end of lemma zenon_L813_ *)
% 10.26/10.40 assert (zenon_L814_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (((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)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (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)) = (op (e0) (e3)))) -> (((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)) = (e0)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((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 (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> (~((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)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.26/10.40 do 0 intro. intros zenon_H151 zenon_H1b0 zenon_H18d zenon_He3 zenon_H56 zenon_H35 zenon_Hd3 zenon_H91 zenon_H8c zenon_H1b7 zenon_H188 zenon_H187 zenon_H7a zenon_Hdd zenon_H95 zenon_Hce zenon_H128 zenon_H5e zenon_H86 zenon_H7d zenon_H58 zenon_H90 zenon_H1ba zenon_H2a zenon_H1bc zenon_H15a zenon_H1c0 zenon_Hbc zenon_H1c3 zenon_H27 zenon_Hc5 zenon_Hc8 zenon_Hc7 zenon_H3c zenon_Hb1 zenon_H1b1 zenon_H1cb zenon_H159 zenon_Hec zenon_H103 zenon_H4c zenon_H53 zenon_H12c zenon_H192 zenon_H181 zenon_H64 zenon_H1dd zenon_Hf8.
% 10.26/10.40 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.26/10.40 apply (zenon_L311_); trivial.
% 10.26/10.40 exact (zenon_H1b0 zenon_Hbd).
% 10.26/10.40 (* end of lemma zenon_L814_ *)
% 10.26/10.40 assert (zenon_L815_ : ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((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 (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (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 (e2) (e2)) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (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)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> (~((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 (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e1) (e3)) = (e3)) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> False).
% 10.26/10.41 do 0 intro. intros zenon_H150 zenon_Hf8 zenon_H10b zenon_H108 zenon_H103 zenon_H132 zenon_H28 zenon_H4c zenon_H90 zenon_H86 zenon_H8c zenon_H91 zenon_H56 zenon_Hd3 zenon_H42 zenon_H181 zenon_H95 zenon_Hda zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H2a zenon_H1ba zenon_Hdd zenon_H53 zenon_H5e zenon_Hb1 zenon_H18a zenon_H187 zenon_Hc7 zenon_H1e2 zenon_H198 zenon_H17c zenon_Hb0 zenon_H97 zenon_H7d zenon_H7a zenon_H64 zenon_Hd0 zenon_Hce zenon_H15a zenon_H35 zenon_H27 zenon_H188 zenon_H18d zenon_H1b0 zenon_H151.
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.26/10.41 apply (zenon_L312_); trivial.
% 10.26/10.41 exact (zenon_H1b0 zenon_Hbd).
% 10.26/10.41 apply (zenon_L221_); trivial.
% 10.26/10.41 (* end of lemma zenon_L815_ *)
% 10.26/10.41 assert (zenon_L816_ : ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((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) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((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) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e1))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e0) (e0)) = (e1))) -> (((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)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (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) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (~((e1) = (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) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((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)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> False).
% 10.26/10.41 do 0 intro. intros zenon_H67 zenon_H112 zenon_Hde zenon_Hab zenon_H17c zenon_H1e2 zenon_H18a zenon_Hb0 zenon_Hd3 zenon_H8c zenon_H1b7 zenon_H7a zenon_Hce zenon_H128 zenon_H58 zenon_H90 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H64 zenon_He3 zenon_H1b1 zenon_H1cb zenon_Hec zenon_H12c zenon_H150 zenon_H191 zenon_H188 zenon_H11d zenon_H192 zenon_H156 zenon_H56 zenon_Hda zenon_H1dd zenon_H1b4 zenon_Hd2 zenon_H97 zenon_H187 zenon_H10b zenon_H95 zenon_H35 zenon_H4c zenon_H103 zenon_H132 zenon_H181 zenon_H42 zenon_Hf8 zenon_Hc5 zenon_H91 zenon_H3c zenon_H155 zenon_H53 zenon_H108 zenon_H145 zenon_H86 zenon_H7d zenon_H5e zenon_H2a zenon_H12f zenon_H18d zenon_H1b0 zenon_H151 zenon_H168 zenon_H1af zenon_H198 zenon_Hae zenon_Hc6 zenon_H16b zenon_H114 zenon_Hc0 zenon_Hdd zenon_H159 zenon_H144 zenon_H6f zenon_H1ea zenon_H158 zenon_H4a.
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.26/10.41 apply (zenon_L297_); trivial.
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.26/10.41 apply (zenon_L812_); trivial.
% 10.26/10.41 apply (zenon_L813_); trivial.
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.26/10.41 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.26/10.41 apply (zenon_L799_); trivial.
% 10.26/10.41 apply (zenon_L814_); trivial.
% 10.26/10.41 apply (zenon_L815_); trivial.
% 10.26/10.41 apply (zenon_L811_); trivial.
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.26/10.41 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.26/10.41 apply (zenon_L319_); trivial.
% 10.26/10.41 exact (zenon_H1b0 zenon_Hbd).
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.26/10.41 apply (zenon_L320_); trivial.
% 10.26/10.41 exact (zenon_H1b0 zenon_Hbd).
% 10.26/10.41 apply (zenon_L44_); trivial.
% 10.26/10.41 apply (zenon_L321_); trivial.
% 10.26/10.41 apply (zenon_L123_); trivial.
% 10.26/10.41 apply (zenon_L213_); trivial.
% 10.26/10.41 apply (zenon_L101_); trivial.
% 10.26/10.41 (* end of lemma zenon_L816_ *)
% 10.26/10.41 assert (zenon_L817_ : ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e1))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> (~((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 (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> False).
% 10.26/10.41 do 0 intro. intros zenon_H168 zenon_Hae zenon_H95 zenon_H155 zenon_H35 zenon_H159 zenon_H191 zenon_H188 zenon_H11d zenon_H192 zenon_H156 zenon_H3a zenon_Hc6 zenon_Hf8 zenon_H1cb zenon_H5e zenon_H53 zenon_H108 zenon_H7d zenon_H43 zenon_H7a zenon_H86 zenon_H18d zenon_H1b0 zenon_H151 zenon_H1ea.
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.26/10.41 apply (zenon_L297_); trivial.
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.26/10.41 apply (zenon_L374_); trivial.
% 10.26/10.41 exact (zenon_H1b0 zenon_Hbd).
% 10.26/10.41 apply (zenon_L321_); trivial.
% 10.26/10.41 apply (zenon_L314_); trivial.
% 10.26/10.41 (* end of lemma zenon_L817_ *)
% 10.26/10.41 assert (zenon_L818_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (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) (e2)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (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))) -> (~((e2) = (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) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (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 (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.26/10.41 do 0 intro. intros zenon_H151 zenon_H1b0 zenon_H18d zenon_H56 zenon_Hda zenon_H1f0 zenon_H1e6 zenon_H100 zenon_Hf5 zenon_H53 zenon_H90 zenon_H1cb zenon_H51 zenon_H7d zenon_H86 zenon_H8d zenon_H8c zenon_H91 zenon_H5e zenon_H4c zenon_Hb1 zenon_Hd3 zenon_Hb0 zenon_H188 zenon_H198 zenon_H28 zenon_H6f zenon_H7a zenon_H64 zenon_H35 zenon_H95 zenon_H1fb zenon_H128 zenon_H1f8 zenon_H3a zenon_H155 zenon_H181 zenon_Hc8 zenon_H17c zenon_H12c zenon_H191 zenon_Hc1 zenon_H192 zenon_He8 zenon_H10b zenon_H187 zenon_H97 zenon_Hf8.
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.26/10.41 apply (zenon_L377_); trivial.
% 10.26/10.41 exact (zenon_H1b0 zenon_Hbd).
% 10.26/10.41 (* end of lemma zenon_L818_ *)
% 10.26/10.41 assert (zenon_L819_ : ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (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) (e3)) = (op (e1) (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)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((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 (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e1))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> False).
% 10.26/10.41 do 0 intro. intros zenon_H67 zenon_H168 zenon_H1af zenon_H198 zenon_H42 zenon_H155 zenon_Hae zenon_H35 zenon_Hc6 zenon_H97 zenon_H187 zenon_H16b zenon_H114 zenon_Hc0 zenon_H95 zenon_Hdd zenon_H159 zenon_H191 zenon_H188 zenon_H11d zenon_H192 zenon_H151 zenon_H1b0 zenon_H18d zenon_H12f zenon_H2a zenon_H5e zenon_H7d zenon_H86 zenon_H145 zenon_H144 zenon_H10b zenon_H3a zenon_H3c zenon_H6f zenon_H132 zenon_Hf8 zenon_H1ea zenon_H58 zenon_H4a.
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.26/10.41 apply (zenon_L811_); trivial.
% 10.26/10.41 apply (zenon_L213_); trivial.
% 10.26/10.41 apply (zenon_L101_); trivial.
% 10.26/10.41 (* end of lemma zenon_L819_ *)
% 10.26/10.41 assert (zenon_L820_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (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) (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)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (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 (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 (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((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 (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) (e3)))) -> (~((op (e1) (e1)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (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 (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((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))))) -> (~((e1) = (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 (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((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) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> (~((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 (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e3)) = (op (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 (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (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 (e2) (e2)) = (e2)))\/((op (e2) (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) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 10.26/10.41 do 0 intro. intros zenon_H173 zenon_H103 zenon_Hec zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_Hce zenon_H1b7 zenon_H18a zenon_H1e2 zenon_Hab zenon_H112 zenon_H67 zenon_He3 zenon_H1dd zenon_H168 zenon_Hae zenon_Hdd zenon_H191 zenon_H11d zenon_H192 zenon_Hd2 zenon_H151 zenon_H1b0 zenon_H64 zenon_H97 zenon_H1ef zenon_H195 zenon_H1ea zenon_H159 zenon_H1f zenon_H198 zenon_H1af zenon_Hda zenon_H1f0 zenon_H1e6 zenon_Hf5 zenon_H4c zenon_H42 zenon_Hc0 zenon_H177 zenon_H44 zenon_H95 zenon_H35 zenon_H14d zenon_H8c zenon_H7d zenon_H7a zenon_H18d zenon_H53 zenon_H90 zenon_H5e zenon_H91 zenon_Hd3 zenon_Hb0 zenon_H3c zenon_H1b4 zenon_H56 zenon_H6f zenon_H1cb zenon_H200 zenon_H108 zenon_H187 zenon_H12c zenon_H17c zenon_H181 zenon_H155 zenon_H1f8 zenon_H128 zenon_H1fb zenon_Hfd zenon_H10b zenon_H144 zenon_Hf8 zenon_He7 zenon_Hde zenon_Hc5 zenon_H152 zenon_H158 zenon_H114 zenon_H16b zenon_H1b1 zenon_H150 zenon_Hc6 zenon_H156 zenon_H4a zenon_H12f zenon_H145 zenon_H132 zenon_H58 zenon_H204 zenon_H188 zenon_H86.
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.26/10.41 apply (zenon_L816_); trivial.
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.26/10.41 exact (zenon_H192 zenon_H1d).
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.26/10.41 apply (zenon_L297_); trivial.
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.26/10.41 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.26/10.41 apply (zenon_L361_); trivial.
% 10.26/10.41 exact (zenon_H1b0 zenon_Hbd).
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.26/10.41 apply (zenon_L372_); trivial.
% 10.26/10.41 exact (zenon_H1b0 zenon_Hbd).
% 10.26/10.41 apply (zenon_L354_); trivial.
% 10.26/10.41 apply (zenon_L321_); trivial.
% 10.26/10.41 apply (zenon_L373_); trivial.
% 10.26/10.41 apply (zenon_L810_); trivial.
% 10.26/10.41 apply (zenon_L817_); trivial.
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.26/10.41 apply (zenon_L297_); trivial.
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.26/10.41 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.26/10.41 apply (zenon_L818_); trivial.
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.26/10.41 apply (zenon_L378_); trivial.
% 10.26/10.41 exact (zenon_H1b0 zenon_Hbd).
% 10.26/10.41 apply (zenon_L354_); trivial.
% 10.26/10.41 apply (zenon_L321_); trivial.
% 10.26/10.41 apply (zenon_L373_); trivial.
% 10.26/10.41 apply (zenon_L314_); trivial.
% 10.26/10.41 apply (zenon_L343_); trivial.
% 10.26/10.41 apply (zenon_L819_); trivial.
% 10.26/10.41 apply (zenon_L252_); trivial.
% 10.26/10.41 (* end of lemma zenon_L820_ *)
% 10.26/10.41 assert (zenon_L821_ : (((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)) = (e2)) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (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) (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)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (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 (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 (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((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 (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) (e3)))) -> (~((op (e1) (e1)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (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 (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((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))))) -> (~((e1) = (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 (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((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) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> (~((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 (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e3)) = (op (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 (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (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 (e2) (e2)) = (e2)))\/((op (e2) (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) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 10.26/10.41 do 0 intro. intros zenon_H1de zenon_H15a zenon_Hc1 zenon_H6e zenon_H173 zenon_H103 zenon_Hec zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_Hce zenon_H1b7 zenon_H18a zenon_H1e2 zenon_Hab zenon_H112 zenon_H67 zenon_He3 zenon_H1dd zenon_H168 zenon_Hae zenon_Hdd zenon_H191 zenon_H11d zenon_H192 zenon_Hd2 zenon_H151 zenon_H1b0 zenon_H64 zenon_H97 zenon_H1ef zenon_H195 zenon_H1ea zenon_H159 zenon_H1f zenon_H198 zenon_H1af zenon_Hda zenon_H1f0 zenon_H1e6 zenon_Hf5 zenon_H4c zenon_H42 zenon_Hc0 zenon_H177 zenon_H44 zenon_H95 zenon_H35 zenon_H14d zenon_H8c zenon_H7d zenon_H7a zenon_H18d zenon_H53 zenon_H90 zenon_H5e zenon_H91 zenon_Hd3 zenon_Hb0 zenon_H3c zenon_H1b4 zenon_H56 zenon_H6f zenon_H1cb zenon_H200 zenon_H108 zenon_H187 zenon_H12c zenon_H17c zenon_H181 zenon_H155 zenon_H1f8 zenon_H128 zenon_H1fb zenon_Hfd zenon_H10b zenon_H144 zenon_Hf8 zenon_He7 zenon_Hde zenon_Hc5 zenon_H152 zenon_H158 zenon_H114 zenon_H16b zenon_H1b1 zenon_H150 zenon_Hc6 zenon_H156 zenon_H4a zenon_H12f zenon_H145 zenon_H132 zenon_H58 zenon_H204 zenon_H86.
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H6c | zenon_intro zenon_H1df ].
% 10.26/10.41 apply (zenon_L236_); trivial.
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H1e0 ].
% 10.26/10.41 exact (zenon_Hc1 zenon_Hc4).
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H161 | zenon_intro zenon_H188 ].
% 10.26/10.41 apply (zenon_L237_); trivial.
% 10.26/10.41 apply (zenon_L820_); trivial.
% 10.26/10.41 (* end of lemma zenon_L821_ *)
% 10.26/10.41 assert (zenon_L822_ : (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((e2) = (e3))) -> ((op (e1) (e2)) = (e2)) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (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 (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (((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) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e1) (e1)) = (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 (e1) (e0)) = (op (e1) (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) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e0) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (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)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (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) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (((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)) = (op (e0) (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 (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((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)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (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 (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (op (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))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> False).
% 10.26/10.41 do 0 intro. intros zenon_H4c zenon_H15a zenon_H95 zenon_H6e zenon_H173 zenon_H1ef zenon_H195 zenon_H1f zenon_H1f0 zenon_H1e6 zenon_Hf5 zenon_H177 zenon_H44 zenon_H14d zenon_H200 zenon_H1f8 zenon_H1fb zenon_Hfd zenon_He7 zenon_H152 zenon_H204 zenon_H4a zenon_H158 zenon_H1ea zenon_H6f zenon_H144 zenon_H159 zenon_Hdd zenon_Hc0 zenon_H114 zenon_H16b zenon_Hc6 zenon_Hae zenon_H198 zenon_H1af zenon_H168 zenon_H151 zenon_H1b0 zenon_H18d zenon_H12f zenon_H5e zenon_H7d zenon_H86 zenon_H145 zenon_H108 zenon_H53 zenon_H155 zenon_H3c zenon_H91 zenon_Hc5 zenon_Hf8 zenon_H42 zenon_H181 zenon_H132 zenon_H103 zenon_H35 zenon_H10b zenon_H187 zenon_H97 zenon_Hd2 zenon_H1b4 zenon_H1dd zenon_Hda zenon_H56 zenon_H156 zenon_H192 zenon_H11d zenon_H191 zenon_H150 zenon_H12c zenon_Hec zenon_H1cb zenon_H1b1 zenon_He3 zenon_H64 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H90 zenon_H58 zenon_H128 zenon_Hce zenon_H7a zenon_H1b7 zenon_H8c zenon_Hd3 zenon_Hb0 zenon_H18a zenon_H1e2 zenon_H17c zenon_Hab zenon_Hde zenon_H112 zenon_H67 zenon_H1de.
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.26/10.41 apply (zenon_L821_); trivial.
% 10.26/10.41 apply (zenon_L194_); trivial.
% 10.26/10.41 (* end of lemma zenon_L822_ *)
% 10.26/10.41 assert (zenon_L823_ : ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (((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) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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 (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 (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((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 (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> ((~((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 (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) (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 (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((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 (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((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)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (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 (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (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 (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> False).
% 10.26/10.41 do 0 intro. intros zenon_H67 zenon_Hde zenon_Hab zenon_H11d zenon_Hae zenon_H114 zenon_H144 zenon_H4a zenon_H204 zenon_H152 zenon_Hfd zenon_H1fb zenon_H1f8 zenon_H200 zenon_H177 zenon_Hf5 zenon_H1f0 zenon_H1f zenon_H195 zenon_H1ef zenon_H173 zenon_H58 zenon_H7a zenon_H1b7 zenon_H158 zenon_H150 zenon_H1dd zenon_H12c zenon_H103 zenon_Hec zenon_H1cb zenon_He3 zenon_H151 zenon_H1b0 zenon_H18d zenon_Hb0 zenon_H8c zenon_H128 zenon_H86 zenon_H7d zenon_H90 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_Hda zenon_H3c zenon_H108 zenon_Hf8 zenon_H1de zenon_H1e6 zenon_H10b zenon_H132 zenon_H18a zenon_H1e2 zenon_H17c zenon_H97 zenon_H156 zenon_H168 zenon_H56 zenon_H198 zenon_H6f zenon_H159 zenon_H35 zenon_H1b1 zenon_H16b zenon_H14d zenon_H157 zenon_H64 zenon_H187 zenon_H95 zenon_H4c zenon_H42 zenon_H181 zenon_H53 zenon_He7 zenon_Hc0 zenon_H44 zenon_Hd3 zenon_Hd2 zenon_H1af zenon_Hdd zenon_Hce zenon_H1b4 zenon_H12f zenon_H2a zenon_Hc5 zenon_H91 zenon_H155 zenon_H5e zenon_H145 zenon_H192 zenon_H16e zenon_H6e zenon_H191 zenon_Hc6 zenon_H112 zenon_H1ea.
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.26/10.41 apply (zenon_L224_); trivial.
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.26/10.41 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.26/10.41 apply (zenon_L193_); trivial.
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.26/10.41 apply (zenon_L212_); trivial.
% 10.26/10.41 apply (zenon_L802_); trivial.
% 10.26/10.41 apply (zenon_L222_); trivial.
% 10.26/10.41 apply (zenon_L223_); trivial.
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.26/10.41 apply (zenon_L224_); trivial.
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.26/10.41 apply (zenon_L803_); trivial.
% 10.26/10.41 apply (zenon_L805_); trivial.
% 10.26/10.41 apply (zenon_L822_); trivial.
% 10.26/10.41 apply (zenon_L213_); trivial.
% 10.26/10.41 apply (zenon_L101_); trivial.
% 10.26/10.41 (* end of lemma zenon_L823_ *)
% 10.26/10.41 assert (zenon_L824_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (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 (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (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) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((e2) = (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) (e2)) = (e1))) -> (((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 (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e3)) = (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)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> False).
% 10.26/10.41 do 0 intro. intros zenon_H200 zenon_H25 zenon_H97 zenon_H28 zenon_Hd0 zenon_H1cb zenon_H1b7 zenon_H156 zenon_H205 zenon_Hbb zenon_H1b1 zenon_Hce zenon_Hd2 zenon_H165 zenon_H191 zenon_H1f zenon_H192 zenon_H14d zenon_He3 zenon_H150 zenon_H64 zenon_H3c zenon_Hc5 zenon_H42 zenon_H1bc zenon_H12c zenon_H198 zenon_H7e zenon_Hab zenon_H4c zenon_H95 zenon_H181 zenon_H1e2 zenon_H91 zenon_H18a zenon_H7d zenon_H7a zenon_H86 zenon_H18d zenon_H17c zenon_H187 zenon_H90 zenon_H6e zenon_H6f zenon_H35 zenon_H27 zenon_Hdd zenon_H1f0 zenon_H1e6 zenon_H100 zenon_Hf5 zenon_H159 zenon_Hd3 zenon_H9a zenon_H44 zenon_He8 zenon_H5e zenon_Hc0 zenon_H84 zenon_H17a zenon_He7 zenon_H1b4 zenon_H56 zenon_H108 zenon_H53 zenon_H155 zenon_Hf8 zenon_H158.
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.26/10.41 exact (zenon_H25 zenon_H2a).
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.26/10.41 apply (zenon_L171_); trivial.
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.26/10.41 apply (zenon_L418_); trivial.
% 10.26/10.41 apply (zenon_L455_); trivial.
% 10.26/10.41 (* end of lemma zenon_L824_ *)
% 10.26/10.41 assert (zenon_L825_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (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 (e0) (e0)) = (e3))) -> (~((e0) = (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))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (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 (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (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) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e1))) -> (((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)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (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)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 10.26/10.41 do 0 intro. intros zenon_H151 zenon_H1b0 zenon_H25 zenon_H42 zenon_Hd0 zenon_H181 zenon_H28 zenon_H53 zenon_H95 zenon_H7a zenon_H84 zenon_H97 zenon_H44 zenon_H27 zenon_H1b7 zenon_H9a zenon_H187 zenon_H1cb zenon_H156 zenon_H205 zenon_Hbb zenon_H1b1 zenon_Hce zenon_Hd2 zenon_H165 zenon_H191 zenon_H1f zenon_H192 zenon_H14d zenon_He3 zenon_H150 zenon_H64 zenon_H3c zenon_Hc5 zenon_H1bc zenon_H12c zenon_H198 zenon_Hab zenon_H4c zenon_H1e2 zenon_H91 zenon_H18a zenon_H7d zenon_H86 zenon_H18d zenon_H17c zenon_H90 zenon_H6e zenon_H6f zenon_H35 zenon_Hdd zenon_H1f0 zenon_H1e6 zenon_H100 zenon_Hf5 zenon_H159 zenon_Hd3 zenon_He8 zenon_H5e zenon_Hc0 zenon_H17a zenon_He7 zenon_H1b4 zenon_H56 zenon_H108 zenon_H155 zenon_Hf8 zenon_H158 zenon_H200.
% 10.26/10.41 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.26/10.41 apply (zenon_L824_); trivial.
% 10.26/10.41 exact (zenon_H1b0 zenon_Hbd).
% 10.26/10.41 (* end of lemma zenon_L825_ *)
% 10.26/10.41 assert (zenon_L826_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e2) (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) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (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)) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((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 (e2) (e2)) = (e1))) -> (((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 (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e3)) = (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)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.28/10.42 do 0 intro. intros zenon_H151 zenon_H1b0 zenon_H64 zenon_Hb1 zenon_H3c zenon_Hc5 zenon_H42 zenon_H1bc zenon_H12c zenon_H198 zenon_Hab zenon_Hc8 zenon_H4c zenon_H95 zenon_Hc7 zenon_H181 zenon_H1e2 zenon_H91 zenon_H18a zenon_H7d zenon_H7a zenon_H86 zenon_H18d zenon_H17c zenon_H43 zenon_H187 zenon_H90 zenon_H6e zenon_H6f zenon_H35 zenon_H27 zenon_Hdd zenon_H1f0 zenon_H1e6 zenon_H100 zenon_Hf5 zenon_H159 zenon_Hd3 zenon_H9a zenon_H44 zenon_He8 zenon_H5e zenon_Hc0 zenon_H84 zenon_H17a zenon_He7 zenon_H1b4 zenon_H56 zenon_H108 zenon_H53 zenon_H155 zenon_Hf8.
% 10.28/10.42 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.28/10.42 apply (zenon_L454_); trivial.
% 10.28/10.42 exact (zenon_H1b0 zenon_Hbd).
% 10.28/10.42 (* end of lemma zenon_L826_ *)
% 10.28/10.42 assert (zenon_L827_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (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 (e3) (e3)) = (e3)) -> (~((e1) = (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))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 10.28/10.42 do 0 intro. intros zenon_H42 zenon_H35 zenon_Hf0 zenon_H90 zenon_H17a zenon_H84 zenon_H4c zenon_H95 zenon_Hc0 zenon_H5e zenon_He8 zenon_H44 zenon_He7 zenon_H91 zenon_H17c zenon_H9a zenon_H159 zenon_H27 zenon_Hdd zenon_H6f zenon_H6e zenon_Hd0 zenon_H181.
% 10.28/10.42 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 10.28/10.42 exact (zenon_H27 zenon_H32).
% 10.28/10.42 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 10.28/10.42 apply (zenon_L413_); trivial.
% 10.28/10.42 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 10.28/10.42 apply (zenon_L19_); trivial.
% 10.28/10.42 apply (zenon_L163_); trivial.
% 10.28/10.42 (* end of lemma zenon_L827_ *)
% 10.28/10.42 assert (zenon_L828_ : (((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 (e1) (e2)) = (e2)) -> (((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) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (((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) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (((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 (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 10.28/10.42 do 0 intro. intros zenon_H64 zenon_H181 zenon_Hd0 zenon_H6e zenon_Hdd zenon_H27 zenon_H159 zenon_H17c zenon_H91 zenon_He7 zenon_H44 zenon_He8 zenon_H5e zenon_Hc0 zenon_H95 zenon_H4c zenon_H84 zenon_H17a zenon_H90 zenon_H35 zenon_H42 zenon_Hf5 zenon_H1f0 zenon_H1e6 zenon_H7e zenon_H18a zenon_H43 zenon_H198 zenon_H86 zenon_H56 zenon_H1b4 zenon_H6f zenon_H100 zenon_H9a zenon_H187.
% 10.28/10.42 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.28/10.42 exact (zenon_H56 zenon_H2c).
% 10.28/10.42 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.28/10.42 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 10.28/10.42 exact (zenon_H56 zenon_H2c).
% 10.28/10.42 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 10.28/10.42 apply (zenon_L426_); trivial.
% 10.28/10.42 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 10.28/10.42 apply (zenon_L421_); trivial.
% 10.28/10.42 apply (zenon_L827_); trivial.
% 10.28/10.42 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.28/10.42 apply (zenon_L228_); trivial.
% 10.28/10.42 apply (zenon_L202_); trivial.
% 10.28/10.42 (* end of lemma zenon_L828_ *)
% 10.28/10.42 assert (zenon_L829_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (((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))))) -> (~((e2) = (e3))) -> (~((e1) = (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))) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e1) (e3)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (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)) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (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)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> False).
% 10.28/10.42 do 0 intro. intros zenon_H151 zenon_H1b0 zenon_H56 zenon_H1b4 zenon_He7 zenon_H95 zenon_H4c zenon_H17a zenon_Hc0 zenon_H5e zenon_He8 zenon_H44 zenon_H91 zenon_H9a zenon_H90 zenon_H6f zenon_H181 zenon_H42 zenon_H27 zenon_H159 zenon_H6e zenon_H35 zenon_Hf5 zenon_H100 zenon_H1e6 zenon_H1f0 zenon_Hdd zenon_H187 zenon_H43 zenon_H198 zenon_H17c zenon_Hd0 zenon_H86 zenon_H84 zenon_H18a zenon_H64.
% 10.28/10.42 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.28/10.42 apply (zenon_L828_); trivial.
% 10.28/10.42 exact (zenon_H1b0 zenon_Hbd).
% 10.28/10.42 (* end of lemma zenon_L829_ *)
% 10.28/10.42 assert (zenon_L830_ : ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (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 (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 (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (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)) = (op (e2) (e0)))) -> (((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 (e1) (e3)) = (op (e3) (e3)))) -> (((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)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (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) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((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 (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (((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)) = (e1))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> False).
% 10.28/10.42 do 0 intro. intros zenon_H67 zenon_H168 zenon_H156 zenon_H97 zenon_H17c zenon_H1e2 zenon_H18a zenon_H132 zenon_H10b zenon_H1e6 zenon_H1de zenon_Hf8 zenon_H108 zenon_H64 zenon_H3c zenon_H35 zenon_Hda zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H90 zenon_H7d zenon_H86 zenon_H128 zenon_Hce zenon_Hdd zenon_H8c zenon_Hd3 zenon_H198 zenon_H53 zenon_Hb0 zenon_H56 zenon_H18d zenon_H1b0 zenon_H151 zenon_H95 zenon_H4c zenon_He3 zenon_H42 zenon_H6f zenon_H1b1 zenon_H1cb zenon_H159 zenon_Hec zenon_H103 zenon_H12c zenon_H1dd zenon_H150 zenon_H191 zenon_H6e zenon_H16e zenon_H192 zenon_H158 zenon_H145 zenon_H5e zenon_H155 zenon_H91 zenon_Hc5 zenon_H2a zenon_H12f zenon_H1b7 zenon_H84 zenon_H7a zenon_H181 zenon_H187 zenon_H58 zenon_Hd2 zenon_H1af zenon_H4a.
% 10.28/10.42 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.28/10.42 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.28/10.42 apply (zenon_L802_); trivial.
% 10.28/10.42 apply (zenon_L213_); trivial.
% 10.28/10.42 apply (zenon_L101_); trivial.
% 10.28/10.42 (* end of lemma zenon_L830_ *)
% 10.28/10.42 assert (zenon_L831_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e3) (e0)) = (e2)) -> (~((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 (e3) (e0)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 10.28/10.42 do 0 intro. intros zenon_Hb0 zenon_Hd8 zenon_H53 zenon_H5e zenon_Hb1 zenon_H1e2 zenon_He3 zenon_H95 zenon_H4c zenon_H28 zenon_Hda zenon_H35 zenon_H77 zenon_Hc7 zenon_H18a zenon_H15a zenon_H198 zenon_H17c zenon_H84 zenon_H86.
% 10.28/10.42 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hb5 ].
% 10.28/10.42 apply (zenon_L249_); trivial.
% 10.28/10.42 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H78 | zenon_intro zenon_Hb6 ].
% 10.28/10.42 apply (zenon_L22_); trivial.
% 10.28/10.42 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H89 ].
% 10.28/10.42 exact (zenon_Hb1 zenon_Hb7).
% 10.28/10.42 apply (zenon_L430_); trivial.
% 10.28/10.42 (* end of lemma zenon_L831_ *)
% 10.28/10.42 assert (zenon_L832_ : (((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)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> False).
% 10.28/10.42 do 0 intro. intros zenon_H64 zenon_H56 zenon_H1f0 zenon_Hc8 zenon_Hc7 zenon_H3c zenon_Hb1 zenon_Hc5 zenon_H103 zenon_H1cb zenon_H15a zenon_H159 zenon_H91 zenon_Hec zenon_Hf2.
% 10.28/10.42 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.28/10.42 exact (zenon_H56 zenon_H2c).
% 10.28/10.42 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.28/10.42 apply (zenon_L327_); trivial.
% 10.28/10.42 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.28/10.42 apply (zenon_L103_); trivial.
% 10.28/10.42 apply (zenon_L264_); trivial.
% 10.28/10.42 (* end of lemma zenon_L832_ *)
% 10.28/10.42 assert (zenon_L833_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (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))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((e0) = (e3))) -> (((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) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 10.28/10.42 do 0 intro. intros zenon_Hdd zenon_H27 zenon_H1b1 zenon_H62 zenon_H181 zenon_Hd3 zenon_H1bc zenon_H90 zenon_H192 zenon_H86 zenon_H84 zenon_H17c zenon_H198 zenon_H18a zenon_H35 zenon_Hda zenon_H28 zenon_H4c zenon_H95 zenon_He3 zenon_H1e2 zenon_H5e zenon_H53 zenon_Hb0 zenon_H64 zenon_H56 zenon_H1f0 zenon_Hc8 zenon_Hc7 zenon_H3c zenon_Hb1 zenon_Hc5 zenon_H103 zenon_H1cb zenon_H15a zenon_H159 zenon_H91 zenon_Hec.
% 10.28/10.42 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hdf ].
% 10.28/10.42 exact (zenon_H27 zenon_H32).
% 10.28/10.42 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H6a | zenon_intro zenon_He0 ].
% 10.28/10.42 apply (zenon_L238_); trivial.
% 10.28/10.42 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd8 ].
% 10.28/10.42 apply (zenon_L296_); trivial.
% 10.28/10.42 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1e | zenon_intro zenon_H1b2 ].
% 10.28/10.42 apply (zenon_L259_); trivial.
% 10.28/10.42 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1d | zenon_intro zenon_H1b3 ].
% 10.28/10.42 exact (zenon_H192 zenon_H1d).
% 10.28/10.42 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H77 | zenon_intro zenon_Hf2 ].
% 10.28/10.42 apply (zenon_L831_); trivial.
% 10.28/10.42 apply (zenon_L832_); trivial.
% 10.28/10.42 (* end of lemma zenon_L833_ *)
% 10.28/10.42 assert (zenon_L834_ : (~((op (e3) (e3)) = (e0))) -> (((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)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (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))))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((e0) = (e3))) -> (((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) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 10.28/10.42 do 0 intro. intros zenon_H8d zenon_H1b7 zenon_H187 zenon_H7a zenon_H58 zenon_H2a zenon_H8c zenon_H1ae zenon_Hdd zenon_H27 zenon_H1b1 zenon_H181 zenon_Hd3 zenon_H1bc zenon_H90 zenon_H192 zenon_H86 zenon_H84 zenon_H17c zenon_H198 zenon_H18a zenon_H35 zenon_Hda zenon_H28 zenon_H4c zenon_H95 zenon_He3 zenon_H1e2 zenon_H5e zenon_H53 zenon_Hb0 zenon_H64 zenon_H56 zenon_H1f0 zenon_Hc8 zenon_Hc7 zenon_H3c zenon_Hb1 zenon_Hc5 zenon_H103 zenon_H1cb zenon_H15a zenon_H159 zenon_H91 zenon_Hec.
% 10.28/10.42 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.28/10.42 exact (zenon_H56 zenon_H2c).
% 10.28/10.42 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.28/10.42 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdb ].
% 10.28/10.42 exact (zenon_H28 zenon_H31).
% 10.28/10.42 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H6c | zenon_intro zenon_Hdc ].
% 10.28/10.42 apply (zenon_L236_); trivial.
% 10.28/10.42 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H74 | zenon_intro zenon_Hbc ].
% 10.28/10.42 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hb5 ].
% 10.28/10.42 apply (zenon_L20_); trivial.
% 10.28/10.42 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H78 | zenon_intro zenon_Hb6 ].
% 10.28/10.42 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H76 | zenon_intro zenon_H92 ].
% 10.28/10.42 apply (zenon_L21_); trivial.
% 10.28/10.42 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H77 | zenon_intro zenon_H93 ].
% 10.28/10.42 apply (zenon_L22_); trivial.
% 10.28/10.42 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H94 | zenon_intro zenon_H8a ].
% 10.28/10.42 exact (zenon_H91 zenon_H94).
% 10.28/10.42 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_Hcf | zenon_intro zenon_H1e3 ].
% 10.28/10.42 apply (zenon_L155_); trivial.
% 10.28/10.42 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H1e4 ].
% 10.28/10.42 exact (zenon_H1ae zenon_Hb8).
% 10.28/10.42 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd0 ].
% 10.28/10.42 exact (zenon_Hc7 zenon_H3a).
% 10.28/10.42 apply (zenon_L278_); trivial.
% 10.28/10.42 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H89 ].
% 10.28/10.42 exact (zenon_Hb1 zenon_Hb7).
% 10.28/10.42 apply (zenon_L250_); trivial.
% 10.28/10.42 apply (zenon_L266_); trivial.
% 10.28/10.42 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.28/10.42 apply (zenon_L103_); trivial.
% 10.28/10.42 apply (zenon_L833_); trivial.
% 10.28/10.42 (* end of lemma zenon_L834_ *)
% 10.28/10.42 assert (zenon_L835_ : ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (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 (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (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 (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (((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)) = (e1))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> False).
% 10.28/10.42 do 0 intro. intros zenon_H168 zenon_H97 zenon_H42 zenon_Hce zenon_H1ba zenon_H1c0 zenon_H1c3 zenon_H27 zenon_H35 zenon_H1b1 zenon_H1f0 zenon_H103 zenon_Hec zenon_H159 zenon_H1cb zenon_H64 zenon_H17c zenon_H198 zenon_H86 zenon_H18a zenon_H1bc zenon_Hdd zenon_H3c zenon_H28 zenon_H4c zenon_Hb0 zenon_Hd3 zenon_H1e2 zenon_H8c zenon_H95 zenon_H90 zenon_H53 zenon_He3 zenon_Hda zenon_H56 zenon_H150 zenon_H156 zenon_H191 zenon_H6e zenon_H16e zenon_H192 zenon_H157 zenon_H1ae zenon_Hd2 zenon_H58 zenon_H187 zenon_H181 zenon_H7a zenon_H84 zenon_H1b7 zenon_H12f zenon_H2a zenon_Hc5 zenon_H155 zenon_H5e zenon_H145 zenon_H158 zenon_H1af.
% 10.28/10.42 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.28/10.42 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.28/10.42 apply (zenon_L224_); trivial.
% 10.28/10.42 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.42 apply (zenon_L460_); trivial.
% 10.28/10.42 exact (zenon_H1ae zenon_Hb8).
% 10.28/10.42 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.42 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.42 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.28/10.42 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.42 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.28/10.42 apply (zenon_L834_); trivial.
% 10.28/10.42 apply (zenon_L266_); trivial.
% 10.28/10.42 apply (zenon_L462_); trivial.
% 10.28/10.42 apply (zenon_L223_); trivial.
% 10.28/10.42 exact (zenon_H1ae zenon_Hb8).
% 10.28/10.42 apply (zenon_L296_); trivial.
% 10.28/10.42 (* end of lemma zenon_L835_ *)
% 10.28/10.42 assert (zenon_L836_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((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 (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((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 (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (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))))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (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 (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (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 (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (((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) (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 (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (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))))) -> False).
% 10.28/10.42 do 0 intro. intros zenon_H145 zenon_H5e zenon_H155 zenon_Hc5 zenon_H2a zenon_H12f zenon_H1b4 zenon_Hce zenon_H27 zenon_Hdd zenon_H1af zenon_Hd2 zenon_Hd3 zenon_H44 zenon_Hc0 zenon_He7 zenon_H53 zenon_H181 zenon_H42 zenon_H4c zenon_H95 zenon_H187 zenon_H64 zenon_H157 zenon_H14d zenon_H16b zenon_H1b1 zenon_H35 zenon_H6e zenon_H159 zenon_H6f zenon_H198 zenon_H56 zenon_H168 zenon_H97 zenon_H1ba zenon_H1c0 zenon_H1c3 zenon_H1f0 zenon_H103 zenon_Hec zenon_H1cb zenon_H17c zenon_H86 zenon_H18a zenon_H1bc zenon_H3c zenon_H28 zenon_Hb0 zenon_H1e2 zenon_H8c zenon_H90 zenon_He3 zenon_Hda zenon_H150 zenon_H156 zenon_H16e zenon_H1ae zenon_H58 zenon_H7a zenon_H1b7 zenon_H158 zenon_H18d zenon_He8 zenon_H192 zenon_Haf zenon_H191.
% 10.28/10.42 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.28/10.42 apply (zenon_L190_); trivial.
% 10.28/10.42 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.42 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.28/10.42 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.42 apply (zenon_L193_); trivial.
% 10.28/10.42 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.28/10.42 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.28/10.42 apply (zenon_L212_); trivial.
% 10.28/10.42 apply (zenon_L835_); trivial.
% 10.28/10.42 apply (zenon_L222_); trivial.
% 10.28/10.42 apply (zenon_L223_); trivial.
% 10.28/10.42 exact (zenon_H1ae zenon_Hb8).
% 10.28/10.42 (* end of lemma zenon_L836_ *)
% 10.28/10.42 assert (zenon_L837_ : (((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 (e3) (e2)) = (e3)) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((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) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((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)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((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) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e1))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (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 (e2) (e2)) = (e2)))\/((op (e2) (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) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((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))))) -> (~((e1) = (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 (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((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) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((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 (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e3)) = (op (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 (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 10.28/10.42 do 0 intro. intros zenon_H1de zenon_H15a zenon_Hc1 zenon_Hed zenon_H173 zenon_H103 zenon_H18a zenon_H1e2 zenon_H1c3 zenon_H1ba zenon_H58 zenon_Hce zenon_Hdd zenon_Hec zenon_Hab zenon_H67 zenon_H1b7 zenon_H1bc zenon_H1c0 zenon_He3 zenon_H1dd zenon_H168 zenon_Hae zenon_H191 zenon_H11d zenon_H192 zenon_H157 zenon_H150 zenon_He7 zenon_Hde zenon_H1ae zenon_Hc5 zenon_H152 zenon_H158 zenon_H114 zenon_H16b zenon_H1b1 zenon_H64 zenon_H97 zenon_H1ef zenon_H195 zenon_H1ea zenon_H159 zenon_H1f zenon_H198 zenon_H1af zenon_Hda zenon_H1f0 zenon_H1e6 zenon_H7e zenon_Hf5 zenon_H4c zenon_H42 zenon_Hc0 zenon_H177 zenon_H44 zenon_H95 zenon_H35 zenon_H14d zenon_H8c zenon_H7d zenon_H7a zenon_H18d zenon_H53 zenon_H90 zenon_H5e zenon_Hd3 zenon_Hb0 zenon_H3c zenon_H1b4 zenon_H56 zenon_H6f zenon_H1cb zenon_H200 zenon_H108 zenon_H187 zenon_H12c zenon_H17c zenon_H181 zenon_H155 zenon_H1f8 zenon_H128 zenon_H1fb zenon_Hfd zenon_H10b zenon_H144 zenon_Hf8 zenon_Hd2 zenon_Hc6 zenon_H156 zenon_H4a zenon_H132 zenon_H145 zenon_H12f zenon_H204 zenon_H86.
% 10.28/10.42 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H6c | zenon_intro zenon_H1df ].
% 10.28/10.42 apply (zenon_L236_); trivial.
% 10.28/10.42 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H1e0 ].
% 10.28/10.42 exact (zenon_Hc1 zenon_Hc4).
% 10.28/10.42 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H161 | zenon_intro zenon_H188 ].
% 10.28/10.42 apply (zenon_L282_); trivial.
% 10.28/10.42 apply (zenon_L726_); trivial.
% 10.28/10.42 (* end of lemma zenon_L837_ *)
% 10.28/10.42 assert (zenon_L838_ : (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((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))))) -> (~((e0) = (e2))) -> (((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) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e0)) = (op (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)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (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 (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (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 (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 (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (((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 (e3) (e3)) = (e0))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (((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 (e3) (e3)) = (e1))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((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 (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (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 (e1) (e1)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> (((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) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (e2))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> False).
% 10.28/10.42 do 0 intro. intros zenon_Hc1 zenon_H1e6 zenon_H173 zenon_He7 zenon_H152 zenon_H114 zenon_H16b zenon_H1ef zenon_H195 zenon_H1f zenon_H1af zenon_Hc0 zenon_H177 zenon_H44 zenon_H14d zenon_H200 zenon_H1f8 zenon_H1fb zenon_Hfd zenon_H204 zenon_H4a zenon_H1ea zenon_H157 zenon_Hd2 zenon_H132 zenon_H10b zenon_H97 zenon_H12f zenon_H145 zenon_H108 zenon_H155 zenon_Hf8 zenon_H144 zenon_H158 zenon_H1dd zenon_H1b4 zenon_H156 zenon_H11d zenon_H191 zenon_H1c3 zenon_H1c0 zenon_H1ba zenon_H128 zenon_Hce zenon_H12c zenon_H150 zenon_H168 zenon_Hae zenon_Hf5 zenon_Hab zenon_Hde zenon_Hc6 zenon_H67 zenon_H1de zenon_H64 zenon_H8d zenon_Hb1 zenon_H3c zenon_Hc7 zenon_Hc8 zenon_Hc5 zenon_H27 zenon_H35 zenon_H6f zenon_H6e zenon_H90 zenon_H7d zenon_H7e zenon_H7a zenon_H86 zenon_H5e zenon_H8c zenon_H91 zenon_Hd3 zenon_H15a zenon_H1bc zenon_H42 zenon_H56 zenon_H1b1 zenon_H1f0 zenon_H103 zenon_Hec zenon_H159 zenon_H1cb zenon_H17c zenon_H198 zenon_H18a zenon_H192 zenon_Hdd zenon_H28 zenon_H4c zenon_Hb0 zenon_H1e2 zenon_H58 zenon_H2a zenon_H1b7 zenon_H181 zenon_H187 zenon_H1ae zenon_H95 zenon_H53 zenon_He3 zenon_Hda zenon_H18d.
% 10.28/10.42 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.28/10.42 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.28/10.42 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.28/10.42 exact (zenon_H56 zenon_H2c).
% 10.28/10.42 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.28/10.42 apply (zenon_L257_); trivial.
% 10.28/10.42 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.28/10.42 apply (zenon_L103_); trivial.
% 10.28/10.42 apply (zenon_L87_); trivial.
% 10.28/10.42 apply (zenon_L834_); trivial.
% 10.28/10.42 apply (zenon_L837_); trivial.
% 10.28/10.42 (* end of lemma zenon_L838_ *)
% 10.28/10.42 assert (zenon_L839_ : ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((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 (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e2) = (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 (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (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) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> False).
% 10.28/10.42 do 0 intro. intros zenon_H4a zenon_H1af zenon_H158 zenon_H145 zenon_H5e zenon_H155 zenon_Hc5 zenon_H2a zenon_H12f zenon_H1b7 zenon_H84 zenon_H7a zenon_H181 zenon_H187 zenon_H58 zenon_Hd2 zenon_H1ae zenon_H157 zenon_H192 zenon_H16e zenon_H6e zenon_H191 zenon_H156 zenon_H150 zenon_H56 zenon_Hda zenon_He3 zenon_H53 zenon_H90 zenon_H95 zenon_H8c zenon_H1e2 zenon_Hd3 zenon_Hb0 zenon_H4c zenon_H3c zenon_Hdd zenon_H1bc zenon_H18a zenon_H86 zenon_H198 zenon_H17c zenon_H64 zenon_H1cb zenon_H159 zenon_Hec zenon_H103 zenon_H1f0 zenon_H1b1 zenon_H35 zenon_H27 zenon_H1c3 zenon_H1c0 zenon_H1ba zenon_Hce zenon_H42 zenon_H97 zenon_H168.
% 10.28/10.42 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.28/10.42 apply (zenon_L835_); trivial.
% 10.28/10.42 apply (zenon_L213_); trivial.
% 10.28/10.42 (* end of lemma zenon_L839_ *)
% 10.28/10.42 assert (zenon_L840_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (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) (e1)) = (e3))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (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)) = (e3))) -> (~((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 (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (((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 (e3) (e3)) = (e1))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((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) (e3)) = (e0))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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 (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((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) (e0)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> False).
% 10.28/10.42 do 0 intro. intros zenon_Hf8 zenon_H1dd zenon_H64 zenon_H8d zenon_H97 zenon_Hcf zenon_H1de zenon_H187 zenon_Hc1 zenon_H16f zenon_Hda zenon_H4c zenon_H95 zenon_H28 zenon_H192 zenon_H12c zenon_H198 zenon_Hab zenon_Hc8 zenon_Hc7 zenon_H181 zenon_H1e2 zenon_Hde zenon_H112 zenon_Haf zenon_H1b1 zenon_H27 zenon_H35 zenon_H6f zenon_H6e zenon_H90 zenon_H7d zenon_H7e zenon_H7a zenon_H86 zenon_H5e zenon_H8c zenon_H91 zenon_Hd3 zenon_H15a zenon_H1bc zenon_H42 zenon_H56 zenon_H4a zenon_H1af zenon_H158 zenon_H145 zenon_H155 zenon_Hc5 zenon_H2a zenon_H12f zenon_H1b7 zenon_H58 zenon_Hd2 zenon_H1ae zenon_H157 zenon_H16e zenon_H191 zenon_H156 zenon_H150 zenon_He3 zenon_H53 zenon_Hb0 zenon_H3c zenon_Hdd zenon_H18a zenon_H17c zenon_H1cb zenon_H159 zenon_Hec zenon_H103 zenon_H1f0 zenon_H1c3 zenon_H1c0 zenon_H1ba zenon_Hce zenon_H168 zenon_H18d.
% 10.28/10.42 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.28/10.42 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.28/10.42 apply (zenon_L295_); trivial.
% 10.28/10.42 apply (zenon_L839_); trivial.
% 10.28/10.42 apply (zenon_L306_); trivial.
% 10.28/10.42 (* end of lemma zenon_L840_ *)
% 10.28/10.42 assert (zenon_L841_ : (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((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))))) -> (~((e0) = (e2))) -> (((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) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (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 (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (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 (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (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 (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (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 (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (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)) = (e3))) -> (~((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 (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (((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 (e3) (e3)) = (e1))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> False).
% 10.28/10.43 do 0 intro. intros zenon_H1e6 zenon_H173 zenon_He7 zenon_H152 zenon_H114 zenon_H16b zenon_H1ef zenon_H195 zenon_H1f zenon_H1af zenon_Hc0 zenon_H177 zenon_H44 zenon_H14d zenon_H200 zenon_H1f8 zenon_H1fb zenon_Hfd zenon_H204 zenon_H4a zenon_H1ea zenon_H157 zenon_H1ae zenon_Hd2 zenon_H132 zenon_H10b zenon_H12f zenon_H145 zenon_H108 zenon_H155 zenon_H3c zenon_Hc5 zenon_Hf8 zenon_H144 zenon_H158 zenon_Hda zenon_H1dd zenon_H1b4 zenon_H156 zenon_H11d zenon_H191 zenon_H18a zenon_H17c zenon_H1c3 zenon_H1ba zenon_Hce zenon_Hdd zenon_H1b7 zenon_Hb0 zenon_H150 zenon_H168 zenon_Hae zenon_Hf5 zenon_H1f0 zenon_Hc6 zenon_H67 zenon_H64 zenon_H58 zenon_H2a zenon_H53 zenon_H128 zenon_H1c0 zenon_H103 zenon_Hec zenon_H159 zenon_H1cb zenon_H97 zenon_H16f zenon_Hbc zenon_Hc1 zenon_H187 zenon_H1de zenon_H4c zenon_H95 zenon_H28 zenon_H192 zenon_H12c zenon_H198 zenon_Hab zenon_Hc8 zenon_Hc7 zenon_H181 zenon_H1e2 zenon_Hde zenon_Hcf zenon_H112 zenon_Haf zenon_H1b1 zenon_H27 zenon_H35 zenon_H6f zenon_H6e zenon_H90 zenon_H7d zenon_H7e zenon_H7a zenon_H86 zenon_H5e zenon_H8c zenon_H91 zenon_Hd3 zenon_H15a zenon_H1bc zenon_H42 zenon_H56 zenon_He3 zenon_H18d.
% 10.28/10.43 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.28/10.43 apply (zenon_L381_); trivial.
% 10.28/10.43 apply (zenon_L837_); trivial.
% 10.28/10.43 (* end of lemma zenon_L841_ *)
% 10.28/10.43 assert (zenon_L842_ : (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (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) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (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 (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((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 (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((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 (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (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))))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (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 (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (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 (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((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) (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 (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> False).
% 10.28/10.43 do 0 intro. intros zenon_H1e6 zenon_H173 zenon_H152 zenon_H114 zenon_H1ef zenon_H195 zenon_H1f zenon_H177 zenon_H200 zenon_H1f8 zenon_H1fb zenon_Hfd zenon_H204 zenon_H4a zenon_H10b zenon_H144 zenon_H1dd zenon_H11d zenon_H128 zenon_H12c zenon_Hae zenon_Hf5 zenon_Hab zenon_Hde zenon_H67 zenon_H1de zenon_H16f zenon_H145 zenon_H5e zenon_H155 zenon_Hc5 zenon_H2a zenon_H12f zenon_H1b4 zenon_Hce zenon_Hdd zenon_H1af zenon_Hd2 zenon_Hd3 zenon_H44 zenon_Hc0 zenon_He7 zenon_H53 zenon_H181 zenon_H42 zenon_H4c zenon_H95 zenon_H187 zenon_H64 zenon_H157 zenon_H14d zenon_H16b zenon_H1b1 zenon_H35 zenon_H6e zenon_H159 zenon_H6f zenon_H198 zenon_H56 zenon_H168 zenon_H97 zenon_H1ba zenon_H1c0 zenon_H1c3 zenon_H1f0 zenon_H103 zenon_Hec zenon_H1cb zenon_H17c zenon_H86 zenon_H18a zenon_H1bc zenon_H3c zenon_Hb0 zenon_H1e2 zenon_H8c zenon_H90 zenon_He3 zenon_Hda zenon_H150 zenon_H156 zenon_H16e zenon_H1ae zenon_H58 zenon_H7a zenon_H1b7 zenon_H158 zenon_H18d zenon_H192 zenon_H191 zenon_H7d zenon_H7e zenon_H132 zenon_H108 zenon_Hf8 zenon_Hc6 zenon_H112 zenon_H1ea.
% 10.28/10.43 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.28/10.43 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.28/10.43 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.28/10.43 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.28/10.43 apply (zenon_L836_); trivial.
% 10.28/10.43 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.28/10.43 apply (zenon_L224_); trivial.
% 10.28/10.43 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.43 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.43 apply (zenon_L233_); trivial.
% 10.28/10.43 exact (zenon_H1ae zenon_Hb8).
% 10.28/10.43 apply (zenon_L805_); trivial.
% 10.28/10.43 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.28/10.43 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.28/10.43 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.43 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.43 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.28/10.43 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.43 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.28/10.43 apply (zenon_L838_); trivial.
% 10.28/10.43 apply (zenon_L268_); trivial.
% 10.28/10.43 apply (zenon_L288_); trivial.
% 10.28/10.43 apply (zenon_L223_); trivial.
% 10.28/10.43 exact (zenon_H1ae zenon_Hb8).
% 10.28/10.43 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.43 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.28/10.43 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.43 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.28/10.43 apply (zenon_L840_); trivial.
% 10.28/10.43 apply (zenon_L841_); trivial.
% 10.28/10.43 apply (zenon_L44_); trivial.
% 10.28/10.43 apply (zenon_L321_); trivial.
% 10.28/10.43 exact (zenon_H1ae zenon_Hb8).
% 10.28/10.43 apply (zenon_L194_); trivial.
% 10.28/10.43 apply (zenon_L123_); trivial.
% 10.28/10.43 apply (zenon_L213_); trivial.
% 10.28/10.43 apply (zenon_L101_); trivial.
% 10.28/10.43 (* end of lemma zenon_L842_ *)
% 10.28/10.43 assert (zenon_L843_ : ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e2)) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> False).
% 10.28/10.43 do 0 intro. intros zenon_H157 zenon_H1ae zenon_Hd2 zenon_H1cb zenon_H187 zenon_H9a zenon_H181 zenon_H7a zenon_H84 zenon_H1b7 zenon_H3c zenon_H51 zenon_Hc5 zenon_H155 zenon_H6e zenon_H158.
% 10.28/10.43 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.43 apply (zenon_L425_); trivial.
% 10.28/10.43 exact (zenon_H1ae zenon_Hb8).
% 10.28/10.43 (* end of lemma zenon_L843_ *)
% 10.28/10.43 assert (zenon_L844_ : ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (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) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((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))))) -> False).
% 10.28/10.43 do 0 intro. intros zenon_H1af zenon_H158 zenon_H155 zenon_Hc5 zenon_H51 zenon_H3c zenon_H1b7 zenon_H84 zenon_H7a zenon_H181 zenon_H187 zenon_H1cb zenon_Hd2 zenon_H1ae zenon_H157 zenon_He8 zenon_H192 zenon_H16e zenon_H6e zenon_H191.
% 10.28/10.43 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.28/10.43 apply (zenon_L224_); trivial.
% 10.28/10.43 apply (zenon_L843_); trivial.
% 10.28/10.43 (* end of lemma zenon_L844_ *)
% 10.28/10.43 assert (zenon_L845_ : ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (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) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((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 (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (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) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (op (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) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> False).
% 10.28/10.43 do 0 intro. intros zenon_H4a zenon_H1af zenon_H158 zenon_H155 zenon_Hc5 zenon_H51 zenon_H3c zenon_H1b7 zenon_H84 zenon_H7a zenon_H181 zenon_H187 zenon_H1cb zenon_Hd2 zenon_H1ae zenon_H157 zenon_H192 zenon_H16e zenon_H6e zenon_H191 zenon_H156 zenon_H150 zenon_H56 zenon_Hda zenon_He3 zenon_H53 zenon_H90 zenon_H18a zenon_H86 zenon_H17c zenon_H198 zenon_H8c zenon_H5e zenon_Hd3 zenon_Hb0 zenon_H4c zenon_H95 zenon_H35 zenon_H1e2 zenon_H1bc zenon_H103 zenon_Hec zenon_H159 zenon_H1b1 zenon_H64 zenon_H168.
% 10.28/10.43 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.28/10.43 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.28/10.43 apply (zenon_L844_); trivial.
% 10.28/10.43 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.43 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.43 apply (zenon_L433_); trivial.
% 10.28/10.43 exact (zenon_H1ae zenon_Hb8).
% 10.28/10.43 apply (zenon_L296_); trivial.
% 10.28/10.43 apply (zenon_L343_); trivial.
% 10.28/10.43 (* end of lemma zenon_L845_ *)
% 10.28/10.43 assert (zenon_L846_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (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) (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) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e0)) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (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))))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (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) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (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)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (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) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (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))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 10.28/10.43 do 0 intro. intros zenon_Hf8 zenon_H108 zenon_H25 zenon_H64 zenon_H44 zenon_H97 zenon_H7a zenon_H53 zenon_H28 zenon_H42 zenon_H1ef zenon_H195 zenon_H1ea zenon_H159 zenon_H1f zenon_H191 zenon_H198 zenon_H1af zenon_Hdd zenon_H1f0 zenon_H1e6 zenon_H100 zenon_H7e zenon_Hf5 zenon_H35 zenon_H6e zenon_H27 zenon_H90 zenon_H9a zenon_H17c zenon_H91 zenon_Hd3 zenon_H192 zenon_H12c zenon_H84 zenon_H205 zenon_Hc8 zenon_H4c zenon_H95 zenon_Hbb zenon_H1b1 zenon_H1b4 zenon_H56 zenon_H4a zenon_H158 zenon_H155 zenon_Hc5 zenon_H3c zenon_H1b7 zenon_H181 zenon_H187 zenon_H1cb zenon_Hd2 zenon_H1ae zenon_H157 zenon_H16e zenon_H156 zenon_H150 zenon_Hda zenon_He3 zenon_H18a zenon_H86 zenon_H8c zenon_H5e zenon_Hb0 zenon_H1e2 zenon_H1bc zenon_H103 zenon_Hec zenon_H168 zenon_Hb1 zenon_Hab zenon_Hc7 zenon_H7d zenon_H18d zenon_H6f zenon_He8 zenon_Hc0 zenon_H17a zenon_He7 zenon_H200.
% 10.28/10.43 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.28/10.43 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.28/10.43 exact (zenon_H25 zenon_H2a).
% 10.28/10.43 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.28/10.43 apply (zenon_L423_); trivial.
% 10.28/10.43 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.28/10.43 apply (zenon_L845_); trivial.
% 10.28/10.43 apply (zenon_L437_); trivial.
% 10.28/10.43 apply (zenon_L254_); trivial.
% 10.28/10.43 (* end of lemma zenon_L846_ *)
% 10.28/10.43 assert (zenon_L847_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> False).
% 10.28/10.43 do 0 intro. intros zenon_Hd2 zenon_H187 zenon_H43 zenon_H198 zenon_H15a zenon_H17c zenon_H86 zenon_H84 zenon_H18a zenon_Hc6 zenon_H73 zenon_H91 zenon_Hc7 zenon_Hc5.
% 10.28/10.43 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.43 apply (zenon_L43_); trivial.
% 10.28/10.43 apply (zenon_L426_); trivial.
% 10.28/10.43 (* end of lemma zenon_L847_ *)
% 10.28/10.43 assert (zenon_L848_ : ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (~((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)) = (e2))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> False).
% 10.28/10.43 do 0 intro. intros zenon_H157 zenon_Hcf zenon_H112 zenon_Hc5 zenon_Hc7 zenon_H73 zenon_Hc6 zenon_H18a zenon_H84 zenon_H86 zenon_H17c zenon_H15a zenon_H198 zenon_H43 zenon_H187 zenon_Hd2.
% 10.28/10.43 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.43 apply (zenon_L847_); trivial.
% 10.28/10.43 apply (zenon_L79_); trivial.
% 10.28/10.43 (* end of lemma zenon_L848_ *)
% 10.28/10.43 assert (zenon_L849_ : ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (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 (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) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (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) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> ((op (e3) (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 (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> ((op (e1) (e2)) = (e2)) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e3) (e3)) = (e1))) -> (((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) (e0)) = (e0))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((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)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((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 (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((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 (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (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 (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e1))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (((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) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((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)) = (e2)))\/((op (e1) (e2)) = (e1))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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 (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> False).
% 10.28/10.43 do 0 intro. intros zenon_H157 zenon_H1ae zenon_Hd2 zenon_H18e zenon_H56 zenon_H42 zenon_H1bc zenon_H15a zenon_H12c zenon_H198 zenon_Hab zenon_H4c zenon_H181 zenon_H1e2 zenon_H18a zenon_H17c zenon_H187 zenon_H90 zenon_H6f zenon_H35 zenon_H27 zenon_H5e zenon_H1dd zenon_H108 zenon_Hdd zenon_H44 zenon_H84 zenon_H205 zenon_H64 zenon_Hc6 zenon_Hc5 zenon_H53 zenon_H95 zenon_H6e zenon_H18d zenon_H86 zenon_H7a zenon_H43 zenon_H7e zenon_H7d zenon_H1de zenon_H25 zenon_H155 zenon_H3c zenon_Hf8 zenon_H158 zenon_H112 zenon_H67 zenon_Hde zenon_H1f0 zenon_Hf5 zenon_Hae zenon_H168 zenon_H150 zenon_He3 zenon_H1b1 zenon_H1cb zenon_H159 zenon_Hec zenon_Hb0 zenon_Hd3 zenon_H8c zenon_H1b7 zenon_Hce zenon_H128 zenon_H58 zenon_H1ba zenon_H1c0 zenon_H1c3 zenon_H191 zenon_H11d zenon_H192 zenon_H156 zenon_H1b4 zenon_Hda zenon_H144 zenon_H145 zenon_H12f zenon_H97 zenon_H10b zenon_H103 zenon_H132 zenon_H1ea zenon_H4a zenon_H204 zenon_Hfd zenon_H1fb zenon_H1f8 zenon_H200 zenon_H14d zenon_H177 zenon_Hc0 zenon_H1af zenon_H1f zenon_H195 zenon_H1ef zenon_H16b zenon_H114 zenon_H152 zenon_He7 zenon_H173 zenon_H1e6.
% 10.28/10.43 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.28/10.43 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.43 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.43 apply (zenon_L457_); trivial.
% 10.28/10.43 exact (zenon_H1ae zenon_Hb8).
% 10.28/10.43 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.43 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.28/10.43 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.43 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.28/10.43 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 10.28/10.43 exact (zenon_H25 zenon_H2a).
% 10.28/10.43 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 10.28/10.43 apply (zenon_L440_); trivial.
% 10.28/10.43 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 10.28/10.43 apply (zenon_L848_); trivial.
% 10.28/10.43 apply (zenon_L447_); trivial.
% 10.28/10.43 apply (zenon_L837_); trivial.
% 10.28/10.43 apply (zenon_L426_); trivial.
% 10.28/10.43 apply (zenon_L321_); trivial.
% 10.28/10.43 exact (zenon_H1ae zenon_Hb8).
% 10.28/10.43 apply (zenon_L194_); trivial.
% 10.28/10.43 (* end of lemma zenon_L849_ *)
% 10.28/10.43 assert (zenon_L850_ : (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (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) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (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)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (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) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (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 (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (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) (e2)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (((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)) = (e1))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (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) (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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (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 (e1) (e2)))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e3))) -> (~((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) (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 (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))) -> (~((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 (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (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 (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (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 (e1) (e0)) = (op (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 (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> False).
% 10.28/10.43 do 0 intro. intros zenon_H1e6 zenon_H173 zenon_H152 zenon_H114 zenon_H16b zenon_H1ef zenon_H195 zenon_H177 zenon_H200 zenon_H1f8 zenon_H1fb zenon_Hfd zenon_H204 zenon_H4a zenon_H1ea zenon_H132 zenon_H103 zenon_H10b zenon_H97 zenon_H12f zenon_H145 zenon_H144 zenon_Hda zenon_H11d zenon_H1c3 zenon_H1c0 zenon_H1ba zenon_H58 zenon_H128 zenon_Hce zenon_H1b7 zenon_H8c zenon_Hb0 zenon_Hec zenon_H1cb zenon_H168 zenon_Hae zenon_Hf5 zenon_H1f0 zenon_Hde zenon_H67 zenon_H112 zenon_H25 zenon_H1de zenon_H1dd zenon_Hab zenon_H1bc zenon_H18e zenon_H191 zenon_H6e zenon_H16e zenon_H192 zenon_H156 zenon_Hc6 zenon_H12c zenon_H205 zenon_Hbb zenon_H1b1 zenon_H158 zenon_Hf8 zenon_H155 zenon_H108 zenon_H56 zenon_H1b4 zenon_Hd3 zenon_H7d zenon_H7e zenon_H7a zenon_H18d zenon_H35 zenon_H1ae zenon_H150 zenon_He3 zenon_H42 zenon_H181 zenon_H6f zenon_H27 zenon_H4c zenon_H95 zenon_H14d zenon_H1f zenon_Hdd zenon_He7 zenon_H17a zenon_H84 zenon_Hc0 zenon_H5e zenon_H44 zenon_H17c zenon_H90 zenon_H159 zenon_H53 zenon_H165 zenon_H18a zenon_H86 zenon_H43 zenon_H187 zenon_H64 zenon_H1e2 zenon_H198 zenon_Hc5 zenon_H3c zenon_Hd2 zenon_H157 zenon_H1af.
% 10.28/10.43 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.28/10.43 apply (zenon_L781_); trivial.
% 10.28/10.43 apply (zenon_L849_); trivial.
% 10.28/10.43 (* end of lemma zenon_L850_ *)
% 10.28/10.43 assert (zenon_L851_ : ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (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))))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (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 (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e2) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (((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)) = (e1))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> False).
% 10.28/10.43 do 0 intro. intros zenon_H67 zenon_H132 zenon_H168 zenon_H97 zenon_H42 zenon_Hce zenon_H1ba zenon_H1c0 zenon_H1c3 zenon_H35 zenon_H1b1 zenon_H1f0 zenon_H103 zenon_Hec zenon_H159 zenon_H1cb zenon_H64 zenon_H17c zenon_H198 zenon_H86 zenon_H18a zenon_H1bc zenon_Hdd zenon_H3c zenon_H4c zenon_Hb0 zenon_Hd3 zenon_H1e2 zenon_H8c zenon_H95 zenon_H90 zenon_H53 zenon_He3 zenon_Hda zenon_H56 zenon_H150 zenon_H156 zenon_H191 zenon_H6e zenon_H16e zenon_H192 zenon_H157 zenon_H1ae zenon_Hd2 zenon_H58 zenon_H187 zenon_H181 zenon_H7a zenon_H84 zenon_H1b7 zenon_H12f zenon_H2a zenon_Hc5 zenon_H155 zenon_H5e zenon_H145 zenon_H158 zenon_H1af zenon_H4a.
% 10.28/10.43 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.28/10.43 apply (zenon_L839_); trivial.
% 10.28/10.43 apply (zenon_L101_); trivial.
% 10.28/10.43 (* end of lemma zenon_L851_ *)
% 10.28/10.43 assert (zenon_L852_ : (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((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))))) -> (~((e0) = (e2))) -> (((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) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e0)) = (op (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)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (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 (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (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 (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 (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (((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 (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (((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 (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((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 (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (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 (e1) (e1)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> (((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) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e2) (e1)) = (e2))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> False).
% 10.28/10.43 do 0 intro. intros zenon_H16f zenon_H112 zenon_H16e zenon_H1e6 zenon_H173 zenon_He7 zenon_H152 zenon_H114 zenon_H16b zenon_H1ef zenon_H195 zenon_H1f zenon_H1af zenon_Hc0 zenon_H177 zenon_H44 zenon_H14d zenon_H200 zenon_H1f8 zenon_H1fb zenon_Hfd zenon_H204 zenon_H4a zenon_H1ea zenon_H157 zenon_Hd2 zenon_H132 zenon_H10b zenon_H97 zenon_H12f zenon_H145 zenon_H108 zenon_H155 zenon_Hf8 zenon_H144 zenon_H158 zenon_H1dd zenon_H1b4 zenon_H156 zenon_H11d zenon_H191 zenon_H1c3 zenon_H1c0 zenon_H1ba zenon_H128 zenon_Hce zenon_H12c zenon_H150 zenon_H168 zenon_Hae zenon_Hf5 zenon_Hab zenon_Hde zenon_Hc6 zenon_H67 zenon_H1de zenon_H64 zenon_H3c zenon_Hc5 zenon_H27 zenon_H35 zenon_H6f zenon_H6e zenon_H90 zenon_H7d zenon_H7a zenon_H86 zenon_H5e zenon_H8c zenon_Hd3 zenon_H15a zenon_H1bc zenon_H42 zenon_H56 zenon_H1b1 zenon_H1f0 zenon_H103 zenon_Hec zenon_H159 zenon_H1cb zenon_H17c zenon_H198 zenon_H18a zenon_H192 zenon_Hdd zenon_H28 zenon_H4c zenon_Hb0 zenon_H1e2 zenon_H58 zenon_H2a zenon_H1b7 zenon_H181 zenon_H187 zenon_H1ae zenon_H95 zenon_H53 zenon_He3 zenon_Hda zenon_H18d zenon_H1b0 zenon_H151.
% 10.28/10.43 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.28/10.43 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.28/10.43 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.43 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.43 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.28/10.43 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.43 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.28/10.43 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.28/10.43 apply (zenon_L838_); trivial.
% 10.28/10.43 exact (zenon_H1b0 zenon_Hbd).
% 10.28/10.43 apply (zenon_L800_); trivial.
% 10.28/10.43 apply (zenon_L801_); trivial.
% 10.28/10.43 apply (zenon_L223_); trivial.
% 10.28/10.43 exact (zenon_H1ae zenon_Hb8).
% 10.28/10.43 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.43 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.28/10.43 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.43 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.28/10.43 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.28/10.43 apply (zenon_L840_); trivial.
% 10.28/10.43 exact (zenon_H1b0 zenon_Hbd).
% 10.28/10.43 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.28/10.43 apply (zenon_L841_); trivial.
% 10.28/10.43 exact (zenon_H1b0 zenon_Hbd).
% 10.28/10.43 apply (zenon_L44_); trivial.
% 10.28/10.43 apply (zenon_L321_); trivial.
% 10.28/10.43 exact (zenon_H1ae zenon_Hb8).
% 10.28/10.43 apply (zenon_L194_); trivial.
% 10.28/10.43 apply (zenon_L123_); trivial.
% 10.28/10.43 (* end of lemma zenon_L852_ *)
% 10.28/10.43 assert (zenon_L853_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (((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 (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 (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 (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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 (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((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 (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((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 (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (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))))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (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 (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (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 (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((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) (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 (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e1) (e1)) = (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)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> False).
% 10.28/10.43 do 0 intro. intros zenon_H1de zenon_H67 zenon_Hde zenon_Hab zenon_Hf5 zenon_Hae zenon_H12c zenon_H128 zenon_H11d zenon_H1dd zenon_H144 zenon_H10b zenon_H4a zenon_H204 zenon_Hfd zenon_H1fb zenon_H1f8 zenon_H200 zenon_H177 zenon_H1f zenon_H195 zenon_H1ef zenon_H114 zenon_H152 zenon_H173 zenon_H1e6 zenon_H16f zenon_H145 zenon_H5e zenon_H155 zenon_Hc5 zenon_H2a zenon_H12f zenon_H1b4 zenon_Hce zenon_Hdd zenon_H1af zenon_Hd2 zenon_Hd3 zenon_H44 zenon_Hc0 zenon_He7 zenon_H53 zenon_H181 zenon_H42 zenon_H4c zenon_H95 zenon_H187 zenon_H64 zenon_H157 zenon_H14d zenon_H16b zenon_H1b1 zenon_H35 zenon_H6e zenon_H159 zenon_H6f zenon_H198 zenon_H56 zenon_H168 zenon_H97 zenon_H1ba zenon_H1c0 zenon_H1c3 zenon_H1f0 zenon_H103 zenon_Hec zenon_H1cb zenon_H17c zenon_H86 zenon_H18a zenon_H1bc zenon_H3c zenon_Hb0 zenon_H1e2 zenon_H8c zenon_H90 zenon_He3 zenon_Hda zenon_H150 zenon_H156 zenon_H16e zenon_H1ae zenon_H58 zenon_H7a zenon_H1b7 zenon_H158 zenon_H18d zenon_H192 zenon_H191 zenon_Hf8 zenon_H108 zenon_H132 zenon_H7d zenon_H1b0 zenon_H151 zenon_Hc6 zenon_H112 zenon_H1ea.
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.28/10.44 apply (zenon_L836_); trivial.
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.28/10.44 apply (zenon_L224_); trivial.
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.44 apply (zenon_L803_); trivial.
% 10.28/10.44 exact (zenon_H1ae zenon_Hb8).
% 10.28/10.44 apply (zenon_L805_); trivial.
% 10.28/10.44 apply (zenon_L852_); trivial.
% 10.28/10.44 apply (zenon_L213_); trivial.
% 10.28/10.44 apply (zenon_L101_); trivial.
% 10.28/10.44 (* end of lemma zenon_L853_ *)
% 10.28/10.44 assert (zenon_L854_ : (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((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) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((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) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e1))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e0) (e0)) = (e1))) -> (((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)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (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) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (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 (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((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)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (op (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 (e2) (e2)) = (op (e2) (e3)))) -> (((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 (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e1) (e2)) = (e2)) -> (~((e2) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e2) (e1)) = (e2))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> False).
% 10.28/10.44 do 0 intro. intros zenon_H1de zenon_H67 zenon_H112 zenon_Hde zenon_Hab zenon_H17c zenon_H1e2 zenon_H18a zenon_Hb0 zenon_Hd3 zenon_H8c zenon_H1b7 zenon_H7a zenon_Hce zenon_H128 zenon_H58 zenon_H90 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H64 zenon_He3 zenon_H1b1 zenon_H1cb zenon_Hec zenon_H12c zenon_H150 zenon_H191 zenon_H11d zenon_H192 zenon_H156 zenon_H56 zenon_Hda zenon_H1dd zenon_H1b4 zenon_Hd2 zenon_H97 zenon_H187 zenon_H10b zenon_H35 zenon_H103 zenon_H132 zenon_H181 zenon_H42 zenon_Hf8 zenon_Hc5 zenon_H3c zenon_H155 zenon_H53 zenon_H108 zenon_H145 zenon_H86 zenon_H7d zenon_H5e zenon_H12f zenon_H18d zenon_H1b0 zenon_H151 zenon_H168 zenon_H1af zenon_H198 zenon_Hae zenon_Hc6 zenon_H16b zenon_H114 zenon_Hc0 zenon_Hdd zenon_H159 zenon_H144 zenon_H6f zenon_H1ea zenon_H158 zenon_H4a zenon_H204 zenon_H152 zenon_He7 zenon_Hfd zenon_H1fb zenon_H1f8 zenon_H200 zenon_H14d zenon_H44 zenon_H177 zenon_Hf5 zenon_H1e6 zenon_H1f0 zenon_H1f zenon_H195 zenon_H1ef zenon_H173 zenon_H6e zenon_H95 zenon_H15a zenon_H4c zenon_H1ae zenon_H157.
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.44 apply (zenon_L821_); trivial.
% 10.28/10.44 exact (zenon_H1ae zenon_Hb8).
% 10.28/10.44 apply (zenon_L194_); trivial.
% 10.28/10.44 (* end of lemma zenon_L854_ *)
% 10.28/10.44 assert (zenon_L855_ : (((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).
% 10.28/10.44 do 0 intro. intros zenon_Hc0 zenon_H95 zenon_H34 zenon_Hc1 zenon_H4c zenon_H77 zenon_H1b0.
% 10.28/10.44 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H4b | zenon_intro zenon_Hc2 ].
% 10.28/10.44 apply (zenon_L184_); trivial.
% 10.28/10.44 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc3 ].
% 10.28/10.44 exact (zenon_Hc1 zenon_Hc4).
% 10.28/10.44 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hbd ].
% 10.28/10.44 apply (zenon_L48_); trivial.
% 10.28/10.44 exact (zenon_H1b0 zenon_Hbd).
% 10.28/10.44 (* end of lemma zenon_L855_ *)
% 10.28/10.44 assert (zenon_L856_ : (((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) (e3)) = (e1))) -> ((op (e0) (e3)) = (e0)) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> ((op (e2) (e3)) = (e1)) -> (~((e0) = (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 (e2) (e3)))) -> ((op (e3) (e3)) = (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) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (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) (e3)) = (e2))) -> False).
% 10.28/10.44 do 0 intro. intros zenon_H128 zenon_H7d zenon_H7e zenon_H43 zenon_H18d zenon_H6e zenon_H230 zenon_H8d zenon_H8a zenon_H5e zenon_H1b7 zenon_H187 zenon_H181 zenon_H84 zenon_H7a zenon_H18a zenon_H15a zenon_H198 zenon_H17c zenon_H86 zenon_H8c zenon_H7f.
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H47 | zenon_intro zenon_H129 ].
% 10.28/10.44 apply (zenon_L392_); trivial.
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H9b | zenon_intro zenon_H12a ].
% 10.28/10.44 cut (((op (e1) (e2)) = (e2)) = ((op (e1) (e2)) = (op (e1) (e3)))).
% 10.28/10.44 intro zenon_D_pnotp.
% 10.28/10.44 apply zenon_H230.
% 10.28/10.44 rewrite <- zenon_D_pnotp.
% 10.28/10.44 exact zenon_H6e.
% 10.28/10.44 cut (((e2) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H180].
% 10.28/10.44 cut (((op (e1) (e2)) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H71].
% 10.28/10.44 congruence.
% 10.28/10.44 apply zenon_H71. apply refl_equal.
% 10.28/10.44 apply zenon_H180. apply sym_equal. exact zenon_H9b.
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H85 ].
% 10.28/10.44 apply (zenon_L427_); trivial.
% 10.28/10.44 exact (zenon_H7f zenon_H85).
% 10.28/10.44 (* end of lemma zenon_L856_ *)
% 10.28/10.44 assert (zenon_L857_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((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 (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e2)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e0))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e1))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((e1) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e2) (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 (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> False).
% 10.28/10.44 do 0 intro. intros zenon_Hf8 zenon_Hc5 zenon_H3c zenon_H155 zenon_Hb1 zenon_H53 zenon_H108 zenon_H27 zenon_H90 zenon_H18a zenon_H7d zenon_H7e zenon_H7a zenon_H86 zenon_H18d zenon_H17c zenon_H43 zenon_H187 zenon_H230 zenon_H6e zenon_H8c zenon_H8d zenon_H5e zenon_H181 zenon_H1b7 zenon_H198 zenon_H84 zenon_H128 zenon_H91 zenon_H95 zenon_Hc1 zenon_H4c zenon_H1b0 zenon_Hc0 zenon_H15a zenon_H1bc zenon_H6f zenon_H1e2 zenon_Hc7 zenon_H35 zenon_Hc8 zenon_Hab zenon_H12c zenon_H42.
% 10.28/10.44 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 10.28/10.44 exact (zenon_H27 zenon_H32).
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H76 | zenon_intro zenon_H92 ].
% 10.28/10.44 apply (zenon_L217_); trivial.
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H77 | zenon_intro zenon_H93 ].
% 10.28/10.44 apply (zenon_L855_); trivial.
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H94 | zenon_intro zenon_H8a ].
% 10.28/10.44 exact (zenon_H91 zenon_H94).
% 10.28/10.44 apply (zenon_L856_); trivial.
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 10.28/10.44 apply (zenon_L19_); trivial.
% 10.28/10.44 apply (zenon_L393_); trivial.
% 10.28/10.44 apply (zenon_L254_); trivial.
% 10.28/10.44 (* end of lemma zenon_L857_ *)
% 10.28/10.44 assert (zenon_L858_ : (((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 (e3) (e3)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((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))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e2)) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((op (e0) (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)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e1))) -> (~((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 (e3) (e1)) = (e3))) -> False).
% 10.28/10.44 do 0 intro. intros zenon_Hc0 zenon_H95 zenon_H34 zenon_Hc1 zenon_H7f zenon_H8c zenon_H86 zenon_H17c zenon_H198 zenon_H15a zenon_H18a zenon_H7a zenon_H84 zenon_H181 zenon_H187 zenon_H1b7 zenon_H5e zenon_H8d zenon_H230 zenon_H6e zenon_H18d zenon_H43 zenon_H7e zenon_H7d zenon_H128 zenon_H91 zenon_H4c zenon_H35 zenon_Hcf zenon_H90 zenon_H1b0.
% 10.28/10.44 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H4b | zenon_intro zenon_Hc2 ].
% 10.28/10.44 apply (zenon_L184_); trivial.
% 10.28/10.44 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc3 ].
% 10.28/10.44 exact (zenon_Hc1 zenon_Hc4).
% 10.28/10.44 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hbd ].
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H76 | zenon_intro zenon_H92 ].
% 10.28/10.44 apply (zenon_L47_); trivial.
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H77 | zenon_intro zenon_H93 ].
% 10.28/10.44 apply (zenon_L48_); trivial.
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H94 | zenon_intro zenon_H8a ].
% 10.28/10.44 exact (zenon_H91 zenon_H94).
% 10.28/10.44 apply (zenon_L856_); trivial.
% 10.28/10.44 exact (zenon_H1b0 zenon_Hbd).
% 10.28/10.44 (* end of lemma zenon_L858_ *)
% 10.28/10.44 assert (zenon_L859_ : ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e0)) = (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)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (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) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((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)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (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 (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (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 (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 (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e1))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((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)) = (e2)))\/((op (e1) (e2)) = (e1))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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 (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> False).
% 10.28/10.44 do 0 intro. intros zenon_H157 zenon_H1ae zenon_Hd2 zenon_H151 zenon_H42 zenon_H12c zenon_Hab zenon_H35 zenon_H1e2 zenon_H6f zenon_H1bc zenon_H15a zenon_Hc0 zenon_H1b0 zenon_H4c zenon_H95 zenon_H128 zenon_H84 zenon_H198 zenon_H1b7 zenon_H181 zenon_H5e zenon_H8c zenon_H6e zenon_H230 zenon_H187 zenon_H43 zenon_H17c zenon_H18d zenon_H86 zenon_H7a zenon_H7d zenon_H18a zenon_H90 zenon_H27 zenon_H108 zenon_H53 zenon_H155 zenon_H3c zenon_Hc5 zenon_Hf8 zenon_He3 zenon_H150 zenon_H158 zenon_H1de zenon_H67 zenon_Hc6 zenon_Hde zenon_H1f0 zenon_Hf5 zenon_Hae zenon_H168 zenon_H1b1 zenon_H1cb zenon_H159 zenon_Hec zenon_Hb0 zenon_Hd3 zenon_Hdd zenon_Hce zenon_H58 zenon_H1ba zenon_H1c0 zenon_H1c3 zenon_H64 zenon_H191 zenon_H11d zenon_H192 zenon_H156 zenon_H1b4 zenon_H1dd zenon_Hda zenon_H56 zenon_H144 zenon_H145 zenon_H12f zenon_H97 zenon_H10b zenon_H103 zenon_H132 zenon_H1ea zenon_H4a zenon_H204 zenon_Hfd zenon_H1fb zenon_H1f8 zenon_H200 zenon_H14d zenon_H44 zenon_H177 zenon_H1af zenon_H1f zenon_H195 zenon_H1ef zenon_H16b zenon_H114 zenon_H152 zenon_He7 zenon_H173 zenon_H1e6.
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.28/10.44 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.28/10.44 apply (zenon_L857_); trivial.
% 10.28/10.44 exact (zenon_H1b0 zenon_Hbd).
% 10.28/10.44 apply (zenon_L266_); trivial.
% 10.28/10.44 apply (zenon_L426_); trivial.
% 10.28/10.44 apply (zenon_L223_); trivial.
% 10.28/10.44 exact (zenon_H1ae zenon_Hb8).
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.28/10.44 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.28/10.44 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 10.28/10.44 exact (zenon_H27 zenon_H32).
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 10.28/10.44 apply (zenon_L858_); trivial.
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 10.28/10.44 apply (zenon_L19_); trivial.
% 10.28/10.44 apply (zenon_L393_); trivial.
% 10.28/10.44 apply (zenon_L837_); trivial.
% 10.28/10.44 exact (zenon_H1b0 zenon_Hbd).
% 10.28/10.44 apply (zenon_L266_); trivial.
% 10.28/10.44 apply (zenon_L44_); trivial.
% 10.28/10.44 apply (zenon_L321_); trivial.
% 10.28/10.44 exact (zenon_H1ae zenon_Hb8).
% 10.28/10.44 apply (zenon_L194_); trivial.
% 10.28/10.44 (* end of lemma zenon_L859_ *)
% 10.28/10.44 assert (zenon_L860_ : (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (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)) = (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) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (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)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (e1))) -> (((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)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((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 (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (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 (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (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 (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (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 (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (e2))) -> (((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 (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e2)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (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) (e1)) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((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 (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e1))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((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 (e3) (e0)) = (op (e3) (e1)))) -> False).
% 10.28/10.44 do 0 intro. intros zenon_H1e6 zenon_H173 zenon_He7 zenon_H152 zenon_H114 zenon_H16b zenon_H1ef zenon_H195 zenon_H1f zenon_H1af zenon_H177 zenon_H44 zenon_H14d zenon_H200 zenon_H1f8 zenon_H1fb zenon_Hfd zenon_H204 zenon_H4a zenon_H1ea zenon_H132 zenon_H103 zenon_H10b zenon_H97 zenon_H12f zenon_H145 zenon_H144 zenon_H56 zenon_Hda zenon_H1dd zenon_H1b4 zenon_H156 zenon_H11d zenon_H191 zenon_H64 zenon_H1c3 zenon_H1c0 zenon_H1ba zenon_H58 zenon_Hce zenon_Hdd zenon_Hb0 zenon_Hec zenon_H159 zenon_H1cb zenon_H168 zenon_Hae zenon_Hf5 zenon_H1f0 zenon_Hde zenon_Hc6 zenon_H67 zenon_H1de zenon_H158 zenon_H150 zenon_He3 zenon_Hf8 zenon_Hc5 zenon_H3c zenon_H155 zenon_H53 zenon_H108 zenon_H27 zenon_H18a zenon_H7d zenon_H7a zenon_H86 zenon_H18d zenon_H43 zenon_H187 zenon_H230 zenon_H6e zenon_H8c zenon_H5e zenon_H181 zenon_H1b7 zenon_H198 zenon_H128 zenon_H1b0 zenon_Hc0 zenon_H1bc zenon_H6f zenon_H1e2 zenon_Hab zenon_H42 zenon_H151 zenon_Hd2 zenon_H1ae zenon_H157 zenon_H1b1 zenon_H9a zenon_H17c zenon_H91 zenon_Hd3 zenon_H35 zenon_H90 zenon_H192 zenon_H84 zenon_H205 zenon_Hc8 zenon_H4c zenon_Hcf zenon_H95 zenon_H12c zenon_Hbb.
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 10.28/10.44 exact (zenon_H56 zenon_H2c).
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 10.28/10.44 apply (zenon_L859_); trivial.
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 10.28/10.44 apply (zenon_L47_); trivial.
% 10.28/10.44 apply (zenon_L388_); trivial.
% 10.28/10.44 (* end of lemma zenon_L860_ *)
% 10.28/10.44 assert (zenon_L861_ : (~((op (e0) (e0)) = (e1))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e0)) = (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)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (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) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((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)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (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 (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (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 (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 (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e1))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((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)) = (e2)))\/((op (e1) (e2)) = (e1))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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 (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e1) (e3)) = (e1)) -> False).
% 10.28/10.44 do 0 intro. intros zenon_H56 zenon_H157 zenon_H1ae zenon_Hd2 zenon_H151 zenon_H42 zenon_H12c zenon_Hab zenon_H35 zenon_H1e2 zenon_H6f zenon_H1bc zenon_Hc0 zenon_H1b0 zenon_H4c zenon_H95 zenon_H128 zenon_H84 zenon_H198 zenon_H1b7 zenon_H181 zenon_H5e zenon_H8c zenon_H6e zenon_H230 zenon_H187 zenon_H43 zenon_H17c zenon_H18d zenon_H86 zenon_H7a zenon_H7d zenon_H18a zenon_H90 zenon_H27 zenon_H108 zenon_H53 zenon_H155 zenon_H3c zenon_Hc5 zenon_Hf8 zenon_He3 zenon_H150 zenon_H158 zenon_H1de zenon_H67 zenon_Hc6 zenon_Hde zenon_H1f0 zenon_Hf5 zenon_Hae zenon_H168 zenon_H1b1 zenon_H1cb zenon_H159 zenon_Hec zenon_Hb0 zenon_Hd3 zenon_Hdd zenon_Hce zenon_H58 zenon_H1ba zenon_H1c0 zenon_H1c3 zenon_H64 zenon_H191 zenon_H11d zenon_H192 zenon_H156 zenon_H1b4 zenon_H1dd zenon_Hda zenon_H144 zenon_H145 zenon_H12f zenon_H97 zenon_H10b zenon_H103 zenon_H132 zenon_H1ea zenon_H4a zenon_H204 zenon_Hfd zenon_H1fb zenon_H1f8 zenon_H200 zenon_H14d zenon_H44 zenon_H177 zenon_H1af zenon_H1f zenon_H195 zenon_H1ef zenon_H16b zenon_H114 zenon_H152 zenon_He7 zenon_H173 zenon_H1e6 zenon_Hcf zenon_Hbb zenon_H205 zenon_H91 zenon_H9a.
% 10.28/10.44 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.44 apply (zenon_L860_); trivial.
% 10.28/10.44 apply (zenon_L44_); trivial.
% 10.28/10.44 (* end of lemma zenon_L861_ *)
% 10.28/10.44 assert (zenon_L862_ : (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> False).
% 10.28/10.44 do 0 intro. intros zenon_H144 zenon_Hb7 zenon_H3c zenon_H100 zenon_H6f zenon_H6e zenon_Hed zenon_H10b.
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H51 | zenon_intro zenon_H148 ].
% 10.28/10.44 apply (zenon_L128_); trivial.
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H5d | zenon_intro zenon_H149 ].
% 10.28/10.44 apply (zenon_L228_); trivial.
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H3b | zenon_intro zenon_H52 ].
% 10.28/10.44 apply (zenon_L19_); trivial.
% 10.28/10.44 apply (zenon_L75_); trivial.
% 10.28/10.44 (* end of lemma zenon_L862_ *)
% 10.28/10.44 assert (zenon_L863_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (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) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((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 (e3) (e3)) = (e3)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((e0) = (e1))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False).
% 10.28/10.44 do 0 intro. intros zenon_H108 zenon_H191 zenon_H16e zenon_H192 zenon_He8 zenon_H157 zenon_H1ae zenon_Hd2 zenon_H1cb zenon_H187 zenon_H181 zenon_H7a zenon_H84 zenon_H1b7 zenon_Hc5 zenon_H155 zenon_H158 zenon_H1af zenon_H5e zenon_H10b zenon_H6e zenon_H6f zenon_H100 zenon_H3c zenon_H144 zenon_H53 zenon_Hed.
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H51 | zenon_intro zenon_H109 ].
% 10.28/10.44 apply (zenon_L844_); trivial.
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H101 | zenon_intro zenon_H10a ].
% 10.28/10.44 apply (zenon_L71_); trivial.
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H106 ].
% 10.28/10.44 apply (zenon_L862_); trivial.
% 10.28/10.44 apply (zenon_L73_); trivial.
% 10.28/10.44 (* end of lemma zenon_L863_ *)
% 10.28/10.44 assert (zenon_L864_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (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) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((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 (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((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))) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e1) (e2)) = (e1)) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> False).
% 10.28/10.44 do 0 intro. intros zenon_Hf8 zenon_H1af zenon_H158 zenon_H155 zenon_Hc5 zenon_H3c zenon_H1b7 zenon_H181 zenon_H1cb zenon_Hd2 zenon_H1ae zenon_H157 zenon_H192 zenon_H16e zenon_H191 zenon_H144 zenon_H10b zenon_H53 zenon_H108 zenon_H56 zenon_H42 zenon_Hd3 zenon_H18a zenon_H7d zenon_H7e zenon_H7a zenon_H86 zenon_H18d zenon_H43 zenon_H187 zenon_H6e zenon_H6f zenon_H35 zenon_Hcf zenon_He7 zenon_H95 zenon_H4c zenon_H17a zenon_H84 zenon_Hc0 zenon_H5e zenon_He8 zenon_H44 zenon_H91 zenon_H17c zenon_H9a zenon_H90 zenon_H27 zenon_H100 zenon_H64.
% 10.28/10.44 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.28/10.44 exact (zenon_H56 zenon_H2c).
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 10.28/10.44 exact (zenon_H27 zenon_H32).
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 10.28/10.44 apply (zenon_L401_); trivial.
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 10.28/10.44 apply (zenon_L19_); trivial.
% 10.28/10.44 apply (zenon_L414_); trivial.
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.28/10.44 apply (zenon_L228_); trivial.
% 10.28/10.44 apply (zenon_L202_); trivial.
% 10.28/10.44 apply (zenon_L863_); trivial.
% 10.28/10.44 (* end of lemma zenon_L864_ *)
% 10.28/10.44 assert (zenon_L865_ : ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (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 (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e3))) -> (~((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) (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 (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))) -> (~((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 (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (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 (e1) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (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 (e1) (e0)) = (op (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 (e3) (e1)) = (e3))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((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 (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (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)) = (op (e1) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (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 (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((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) (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 (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (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) (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) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((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) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> False).
% 10.28/10.44 do 0 intro. intros zenon_H157 zenon_Hd2 zenon_Hf8 zenon_H155 zenon_H108 zenon_H56 zenon_H1b4 zenon_Hd3 zenon_H7d zenon_H7a zenon_H18d zenon_H35 zenon_H1ae zenon_H150 zenon_He3 zenon_H42 zenon_H181 zenon_H6e zenon_H6f zenon_H27 zenon_H4c zenon_H95 zenon_H14d zenon_H1f zenon_Hdd zenon_He7 zenon_H17a zenon_H84 zenon_Hc0 zenon_H5e zenon_H44 zenon_H17c zenon_H90 zenon_H159 zenon_H53 zenon_H165 zenon_H18a zenon_H86 zenon_H43 zenon_H187 zenon_H64 zenon_H1e2 zenon_H198 zenon_Hc5 zenon_H3c zenon_H1b0 zenon_H151 zenon_H158 zenon_H205 zenon_Hbb zenon_H1e6 zenon_H173 zenon_H152 zenon_H114 zenon_H16b zenon_H1ef zenon_H195 zenon_H1af zenon_H177 zenon_H200 zenon_H1f8 zenon_H1fb zenon_Hfd zenon_H204 zenon_H4a zenon_H1ea zenon_H132 zenon_H103 zenon_H10b zenon_H97 zenon_H12f zenon_H145 zenon_H144 zenon_Hda zenon_H1dd zenon_H156 zenon_H11d zenon_H1c3 zenon_H1c0 zenon_H1ba zenon_H58 zenon_Hce zenon_Hb0 zenon_Hec zenon_H1cb zenon_H1b1 zenon_H168 zenon_Hae zenon_Hf5 zenon_H1f0 zenon_Hde zenon_Hc6 zenon_H67 zenon_H1de zenon_H230 zenon_H8c zenon_H1b7 zenon_H128 zenon_H1bc zenon_Hab zenon_H12c zenon_H192 zenon_H191 zenon_H16e.
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.28/10.44 apply (zenon_L190_); trivial.
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.28/10.44 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.28/10.44 apply (zenon_L779_); trivial.
% 10.28/10.44 exact (zenon_H1b0 zenon_Hbd).
% 10.28/10.44 apply (zenon_L412_); trivial.
% 10.28/10.44 apply (zenon_L223_); trivial.
% 10.28/10.44 exact (zenon_H1ae zenon_Hb8).
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.44 apply (zenon_L861_); trivial.
% 10.28/10.44 exact (zenon_H1ae zenon_Hb8).
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.28/10.44 apply (zenon_L224_); trivial.
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.28/10.44 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.28/10.44 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.28/10.44 exact (zenon_H56 zenon_H2c).
% 10.28/10.44 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 10.28/10.45 exact (zenon_H56 zenon_H2c).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 10.28/10.45 apply (zenon_L859_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 10.28/10.45 apply (zenon_L421_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 10.28/10.45 exact (zenon_H27 zenon_H32).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 10.28/10.45 apply (zenon_L413_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 10.28/10.45 apply (zenon_L19_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hdf ].
% 10.28/10.45 exact (zenon_H27 zenon_H32).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H6a | zenon_intro zenon_He0 ].
% 10.28/10.45 apply (zenon_L195_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd8 ].
% 10.28/10.45 apply (zenon_L414_); trivial.
% 10.28/10.45 apply (zenon_L420_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.28/10.45 apply (zenon_L103_); trivial.
% 10.28/10.45 apply (zenon_L202_); trivial.
% 10.28/10.45 apply (zenon_L254_); trivial.
% 10.28/10.45 exact (zenon_H1b0 zenon_Hbd).
% 10.28/10.45 apply (zenon_L829_); trivial.
% 10.28/10.45 apply (zenon_L223_); trivial.
% 10.28/10.45 exact (zenon_H1ae zenon_Hb8).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.28/10.45 apply (zenon_L864_); trivial.
% 10.28/10.45 exact (zenon_H1b0 zenon_Hbd).
% 10.28/10.45 exact (zenon_H1ae zenon_Hb8).
% 10.28/10.45 apply (zenon_L859_); trivial.
% 10.28/10.45 (* end of lemma zenon_L865_ *)
% 10.28/10.45 assert (zenon_L866_ : ((~((op (e2) (e2)) = (e1)))\/(~((op (e2) (e1)) = (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (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) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((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 (e1) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (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 (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((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 (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (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))))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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 (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 (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (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) (e0)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((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 (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((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) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((~((op (e3) (e3)) = (e1)))\/(~((op (e3) (e1)) = (e3)))) -> False).
% 10.28/10.45 do 0 intro. intros zenon_H22a zenon_H230 zenon_H18e zenon_H205 zenon_Hbb zenon_H17a zenon_H165 zenon_H1ea zenon_H16e zenon_H156 zenon_H90 zenon_H17c zenon_H7d zenon_H86 zenon_H132 zenon_H103 zenon_H1cb zenon_H108 zenon_Hf8 zenon_H191 zenon_H192 zenon_H158 zenon_H145 zenon_H5e zenon_H155 zenon_Hc5 zenon_H12f zenon_H150 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H1b4 zenon_Hce zenon_Hdd zenon_H1af zenon_Hd2 zenon_Hd3 zenon_H44 zenon_Hc0 zenon_He7 zenon_H53 zenon_H181 zenon_H42 zenon_H4c zenon_H95 zenon_H187 zenon_H64 zenon_H157 zenon_H14d zenon_H16b zenon_H1b1 zenon_H35 zenon_H6e zenon_H159 zenon_H6f zenon_H198 zenon_H56 zenon_H58 zenon_H7a zenon_H1b7 zenon_H18d zenon_H173 zenon_Hfd zenon_H1fb zenon_H1f8 zenon_H200 zenon_H177 zenon_Hf5 zenon_H1f0 zenon_H1f zenon_H195 zenon_H1ef zenon_H114 zenon_H152 zenon_H204 zenon_H4a zenon_H144 zenon_H11d zenon_Hae zenon_H168 zenon_Hc6 zenon_H67 zenon_H16f zenon_Hab zenon_Hde zenon_H112 zenon_H1e6 zenon_H10b zenon_H18a zenon_H1e2 zenon_H97 zenon_Hb0 zenon_H8c zenon_H128 zenon_Hda zenon_H3c zenon_H1de zenon_H1dd zenon_H12c zenon_Hec zenon_He3 zenon_H151 zenon_H22b.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H91 | zenon_intro zenon_H1ae ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H7e | zenon_intro zenon_H1b0 ].
% 10.28/10.45 apply (zenon_L464_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.28/10.45 apply (zenon_L823_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.28/10.45 exact (zenon_H192 zenon_H1d).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.28/10.45 apply (zenon_L223_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.28/10.45 apply (zenon_L224_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.28/10.45 apply (zenon_L417_); trivial.
% 10.28/10.45 exact (zenon_H1b0 zenon_Hbd).
% 10.28/10.45 apply (zenon_L419_); trivial.
% 10.28/10.45 apply (zenon_L223_); trivial.
% 10.28/10.45 apply (zenon_L397_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.28/10.45 apply (zenon_L224_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.28/10.45 apply (zenon_L438_); trivial.
% 10.28/10.45 exact (zenon_H1b0 zenon_Hbd).
% 10.28/10.45 apply (zenon_L825_); trivial.
% 10.28/10.45 apply (zenon_L223_); trivial.
% 10.28/10.45 apply (zenon_L235_); trivial.
% 10.28/10.45 apply (zenon_L822_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.28/10.45 apply (zenon_L224_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.28/10.45 apply (zenon_L452_); trivial.
% 10.28/10.45 exact (zenon_H1b0 zenon_Hbd).
% 10.28/10.45 apply (zenon_L412_); trivial.
% 10.28/10.45 apply (zenon_L223_); trivial.
% 10.28/10.45 apply (zenon_L397_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.28/10.45 apply (zenon_L224_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.45 apply (zenon_L826_); trivial.
% 10.28/10.45 apply (zenon_L829_); trivial.
% 10.28/10.45 apply (zenon_L223_); trivial.
% 10.28/10.45 apply (zenon_L235_); trivial.
% 10.28/10.45 apply (zenon_L822_); trivial.
% 10.28/10.45 apply (zenon_L459_); trivial.
% 10.28/10.45 apply (zenon_L830_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H7e | zenon_intro zenon_H1b0 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.28/10.45 apply (zenon_L842_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.28/10.45 exact (zenon_H192 zenon_H1d).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.28/10.45 apply (zenon_L223_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.28/10.45 apply (zenon_L190_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.28/10.45 exact (zenon_H25 zenon_H2a).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.28/10.45 apply (zenon_L391_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.28/10.45 apply (zenon_L129_); trivial.
% 10.28/10.45 apply (zenon_L779_); trivial.
% 10.28/10.45 apply (zenon_L419_); trivial.
% 10.28/10.45 apply (zenon_L223_); trivial.
% 10.28/10.45 exact (zenon_H1ae zenon_Hb8).
% 10.28/10.45 apply (zenon_L737_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.28/10.45 apply (zenon_L224_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.45 apply (zenon_L846_); trivial.
% 10.28/10.45 apply (zenon_L824_); trivial.
% 10.28/10.45 apply (zenon_L223_); trivial.
% 10.28/10.45 exact (zenon_H1ae zenon_Hb8).
% 10.28/10.45 apply (zenon_L737_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.28/10.45 exact (zenon_H25 zenon_H2a).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.28/10.45 apply (zenon_L323_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.28/10.45 apply (zenon_L845_); trivial.
% 10.28/10.45 apply (zenon_L850_); trivial.
% 10.28/10.45 apply (zenon_L194_); trivial.
% 10.28/10.45 apply (zenon_L123_); trivial.
% 10.28/10.45 apply (zenon_L850_); trivial.
% 10.28/10.45 apply (zenon_L845_); trivial.
% 10.28/10.45 apply (zenon_L851_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.28/10.45 apply (zenon_L853_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.28/10.45 exact (zenon_H192 zenon_H1d).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.28/10.45 apply (zenon_L223_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.28/10.45 apply (zenon_L190_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.28/10.45 exact (zenon_H25 zenon_H2a).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H2a | zenon_intro zenon_H18f ].
% 10.28/10.45 exact (zenon_H25 zenon_H2a).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H69 | zenon_intro zenon_H190 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 10.28/10.45 exact (zenon_H56 zenon_H2c).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 10.28/10.45 apply (zenon_L854_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 10.28/10.45 apply (zenon_L384_); trivial.
% 10.28/10.45 apply (zenon_L389_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H73 | zenon_intro zenon_He4 ].
% 10.28/10.45 apply (zenon_L43_); trivial.
% 10.28/10.45 apply (zenon_L390_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.28/10.45 apply (zenon_L845_); trivial.
% 10.28/10.45 apply (zenon_L778_); trivial.
% 10.28/10.45 apply (zenon_L254_); trivial.
% 10.28/10.45 exact (zenon_H1b0 zenon_Hbd).
% 10.28/10.45 apply (zenon_L419_); trivial.
% 10.28/10.45 apply (zenon_L223_); trivial.
% 10.28/10.45 exact (zenon_H1ae zenon_Hb8).
% 10.28/10.45 apply (zenon_L737_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.28/10.45 apply (zenon_L224_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.28/10.45 apply (zenon_L846_); trivial.
% 10.28/10.45 exact (zenon_H1b0 zenon_Hbd).
% 10.28/10.45 apply (zenon_L825_); trivial.
% 10.28/10.45 apply (zenon_L223_); trivial.
% 10.28/10.45 exact (zenon_H1ae zenon_Hb8).
% 10.28/10.45 apply (zenon_L737_); trivial.
% 10.28/10.45 apply (zenon_L854_); trivial.
% 10.28/10.45 apply (zenon_L865_); trivial.
% 10.28/10.45 apply (zenon_L845_); trivial.
% 10.28/10.45 apply (zenon_L851_); trivial.
% 10.28/10.45 (* end of lemma zenon_L866_ *)
% 10.28/10.45 assert (zenon_L867_ : (~((e1) = (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) (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 (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (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))))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e2))) -> (((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 (e3) (e0)) = (op (e3) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((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)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (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) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 10.28/10.45 do 0 intro. intros zenon_H35 zenon_H90 zenon_Hd3 zenon_H91 zenon_H18a zenon_H17c zenon_H18d zenon_H86 zenon_H7a zenon_H43 zenon_H7e zenon_H7f zenon_H7d zenon_H6e zenon_H159 zenon_H27 zenon_Hdd zenon_H6f zenon_He7 zenon_H44 zenon_He8 zenon_H5e zenon_Hc0 zenon_H95 zenon_H4c zenon_H84 zenon_H17a zenon_H42 zenon_Hde zenon_Haf zenon_Hb0 zenon_H1e2 zenon_Hbb zenon_H12c zenon_H205 zenon_H1b1 zenon_H198 zenon_H1b4 zenon_H114 zenon_H200 zenon_H25 zenon_H22c zenon_H1cb zenon_H1b7 zenon_H150 zenon_He3 zenon_H56 zenon_H181 zenon_H14d zenon_H192 zenon_H1f zenon_H191 zenon_H53 zenon_H165 zenon_H64 zenon_H1bc zenon_Hab zenon_Hc8 zenon_Hc7 zenon_H3c zenon_Hb1 zenon_Hc5 zenon_H9a zenon_H187.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.28/10.45 exact (zenon_H56 zenon_H2c).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 10.28/10.45 exact (zenon_H56 zenon_H2c).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 10.28/10.45 apply (zenon_L394_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H68 | zenon_intro zenon_He9 ].
% 10.28/10.45 exact (zenon_H22c zenon_H68).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Heb | zenon_intro zenon_Hea ].
% 10.28/10.45 exact (zenon_He8 zenon_Heb).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H78 | zenon_intro zenon_He5 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H34 | zenon_intro zenon_He1 ].
% 10.28/10.45 apply (zenon_L4_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_Hb4 | zenon_intro zenon_He2 ].
% 10.28/10.45 exact (zenon_Haf zenon_Hb4).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ].
% 10.28/10.45 apply (zenon_L57_); trivial.
% 10.28/10.45 apply (zenon_L787_); trivial.
% 10.28/10.45 apply (zenon_L788_); trivial.
% 10.28/10.45 apply (zenon_L415_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.28/10.45 apply (zenon_L103_); trivial.
% 10.28/10.45 apply (zenon_L202_); trivial.
% 10.28/10.45 (* end of lemma zenon_L867_ *)
% 10.28/10.45 assert (zenon_L868_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e2)) = (op (e2) (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)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((e2) = (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) (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 (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e1)) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (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) (e1)) = (op (e1) (e1)))) -> (((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 (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))))) -> (~((e0) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((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) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e1))) -> False).
% 10.28/10.45 do 0 intro. intros zenon_Hf8 zenon_H155 zenon_H108 zenon_H25 zenon_H22c zenon_Hc5 zenon_Hc8 zenon_Hc7 zenon_H91 zenon_H3c zenon_H42 zenon_H1bc zenon_H12c zenon_H198 zenon_H7e zenon_Hab zenon_H4c zenon_H95 zenon_H181 zenon_H1e2 zenon_H18a zenon_H7d zenon_H7a zenon_H86 zenon_H18d zenon_H17c zenon_H187 zenon_H90 zenon_H6e zenon_H6f zenon_H35 zenon_H27 zenon_Hb0 zenon_Hb1 zenon_Haf zenon_H44 zenon_H1b7 zenon_H1cb zenon_H150 zenon_He3 zenon_H14d zenon_H1f zenon_H191 zenon_Hdd zenon_He7 zenon_H17a zenon_Hc0 zenon_H5e zenon_H159 zenon_H53 zenon_H165 zenon_H64 zenon_H200 zenon_H114 zenon_H9a zenon_H1b1 zenon_Hbb zenon_H205 zenon_H84 zenon_H192 zenon_Hd3 zenon_H1b4 zenon_Hde zenon_He8 zenon_H56.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.28/10.45 exact (zenon_H25 zenon_H2a).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.28/10.45 exact (zenon_H22c zenon_H68).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.28/10.45 apply (zenon_L129_); trivial.
% 10.28/10.45 apply (zenon_L867_); trivial.
% 10.28/10.45 apply (zenon_L254_); trivial.
% 10.28/10.45 (* end of lemma zenon_L868_ *)
% 10.28/10.45 assert (zenon_L869_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (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) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (op (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) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (((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)) = (e1))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (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) (e2)) = (e1))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (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)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 10.28/10.45 do 0 intro. intros zenon_Hf8 zenon_H108 zenon_H25 zenon_H22c zenon_H168 zenon_H150 zenon_H56 zenon_Hda zenon_He3 zenon_H53 zenon_H90 zenon_H18a zenon_H86 zenon_H17c zenon_H198 zenon_H8c zenon_H5e zenon_Hd3 zenon_Hb0 zenon_H4c zenon_H28 zenon_H95 zenon_H35 zenon_H1e2 zenon_H1bc zenon_H103 zenon_Hec zenon_H159 zenon_H1b1 zenon_H64 zenon_Hc6 zenon_Hce zenon_H156 zenon_H191 zenon_H6e zenon_H16e zenon_H192 zenon_H158 zenon_H155 zenon_Hc5 zenon_H91 zenon_H3c zenon_H1b7 zenon_H84 zenon_H7a zenon_H181 zenon_H187 zenon_H1cb zenon_Hd2 zenon_H1af zenon_Hb1 zenon_H42 zenon_H12c zenon_H7e zenon_Hab zenon_Hc8 zenon_Hc7 zenon_H7d zenon_H18d zenon_H6f zenon_H27 zenon_Hdd zenon_H1f0 zenon_H1e6 zenon_H100 zenon_Hf5 zenon_H9a zenon_H44 zenon_He8 zenon_Hc0 zenon_H17a zenon_He7 zenon_H1b4 zenon_H200.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.28/10.45 exact (zenon_H25 zenon_H2a).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.28/10.45 exact (zenon_H22c zenon_H68).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.28/10.45 apply (zenon_L436_); trivial.
% 10.28/10.45 apply (zenon_L437_); trivial.
% 10.28/10.45 apply (zenon_L254_); trivial.
% 10.28/10.45 (* end of lemma zenon_L869_ *)
% 10.28/10.45 assert (zenon_L870_ : ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e2))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 10.28/10.45 do 0 intro. intros zenon_H150 zenon_H25 zenon_H22c zenon_H64 zenon_H1b1 zenon_H1cb zenon_H159 zenon_Hec zenon_H103 zenon_H1bc zenon_H1e2 zenon_Hc7 zenon_H35 zenon_H95 zenon_H192 zenon_H28 zenon_H4c zenon_H15a zenon_Hb0 zenon_Hd3 zenon_Hb1 zenon_H5e zenon_H91 zenon_H8c zenon_H181 zenon_H7a zenon_H1b7 zenon_H187 zenon_H198 zenon_H17c zenon_Hd0 zenon_H86 zenon_H84 zenon_H18a zenon_H90 zenon_H53 zenon_He3 zenon_Hda zenon_H56 zenon_H200.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.28/10.45 exact (zenon_H25 zenon_H2a).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.28/10.45 exact (zenon_H22c zenon_H68).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.28/10.45 apply (zenon_L432_); trivial.
% 10.28/10.45 apply (zenon_L426_); trivial.
% 10.28/10.45 apply (zenon_L266_); trivial.
% 10.28/10.45 (* end of lemma zenon_L870_ *)
% 10.28/10.45 assert (zenon_L871_ : (((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) (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 (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (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) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> (((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 (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (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 (e1) (e2)) = (e2)) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> False).
% 10.28/10.45 do 0 intro. intros zenon_H200 zenon_H18e zenon_H42 zenon_H12c zenon_Hab zenon_H6f zenon_H27 zenon_H1dd zenon_H108 zenon_Hdd zenon_H44 zenon_H205 zenon_Hc6 zenon_Hc1 zenon_H18d zenon_H7e zenon_H7d zenon_H1de zenon_Hf8 zenon_Hd2 zenon_H64 zenon_H1b1 zenon_H1cb zenon_H159 zenon_Hec zenon_H103 zenon_H1bc zenon_H1e2 zenon_H35 zenon_H95 zenon_H192 zenon_H28 zenon_H4c zenon_H15a zenon_Hb0 zenon_Hd3 zenon_Hb1 zenon_H5e zenon_H8c zenon_H181 zenon_H7a zenon_H1b7 zenon_H187 zenon_H198 zenon_H17c zenon_H86 zenon_H84 zenon_H18a zenon_H90 zenon_H53 zenon_He3 zenon_Hda zenon_H56 zenon_H150 zenon_H3c zenon_H91 zenon_Hc5 zenon_H155 zenon_H6e zenon_H158 zenon_H22c zenon_H25.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.28/10.45 exact (zenon_H25 zenon_H2a).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.28/10.45 exact (zenon_H22c zenon_H68).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.28/10.45 apply (zenon_L433_); trivial.
% 10.28/10.45 apply (zenon_L449_); trivial.
% 10.28/10.45 apply (zenon_L870_); trivial.
% 10.28/10.45 apply (zenon_L223_); trivial.
% 10.28/10.45 (* end of lemma zenon_L871_ *)
% 10.28/10.45 assert (zenon_L872_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e3)) = (op (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) (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 (e1) (e2)) = (e2)) -> (((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) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (((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) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (((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 (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 10.28/10.45 do 0 intro. intros zenon_H200 zenon_H25 zenon_H22c zenon_H7a zenon_H1cb zenon_H1b7 zenon_H64 zenon_H181 zenon_Hd0 zenon_H6e zenon_Hdd zenon_H27 zenon_H159 zenon_H17c zenon_H91 zenon_He7 zenon_H44 zenon_He8 zenon_H5e zenon_Hc0 zenon_H95 zenon_H4c zenon_H84 zenon_H17a zenon_H90 zenon_H35 zenon_H42 zenon_Hf5 zenon_H1f0 zenon_H1e6 zenon_H7e zenon_H18a zenon_H198 zenon_H86 zenon_H56 zenon_H1b4 zenon_H6f zenon_H100 zenon_H9a zenon_H187.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.28/10.45 exact (zenon_H25 zenon_H2a).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.28/10.45 exact (zenon_H22c zenon_H68).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.28/10.45 apply (zenon_L418_); trivial.
% 10.28/10.45 apply (zenon_L828_); trivial.
% 10.28/10.45 (* end of lemma zenon_L872_ *)
% 10.28/10.45 assert (zenon_L873_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((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) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (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) (e3)) = (op (e2) (e3)))) -> (~((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 (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e1) (e0)) = (op (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 (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e1))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 10.28/10.45 do 0 intro. intros zenon_H151 zenon_H1b0 zenon_H25 zenon_H22c zenon_H1b7 zenon_H84 zenon_H7a zenon_Hd0 zenon_H181 zenon_H9a zenon_H187 zenon_H1cb zenon_H64 zenon_H18a zenon_H86 zenon_H17c zenon_H198 zenon_Hdd zenon_H1f0 zenon_H1e6 zenon_H100 zenon_Hf5 zenon_H35 zenon_H6e zenon_H159 zenon_H27 zenon_H42 zenon_H6f zenon_H90 zenon_H91 zenon_H44 zenon_He8 zenon_H5e zenon_Hc0 zenon_H17a zenon_H4c zenon_H95 zenon_He7 zenon_H1b4 zenon_H56 zenon_H200.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.28/10.45 apply (zenon_L872_); trivial.
% 10.28/10.45 exact (zenon_H1b0 zenon_Hbd).
% 10.28/10.45 (* end of lemma zenon_L873_ *)
% 10.28/10.45 assert (zenon_L874_ : (((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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((e1) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (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 (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (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))))) -> (((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 (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))) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (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) (e0)) = (op (e1) (e2)))) -> (~((e0) = (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 (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (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 (e1) (e3)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> False).
% 10.28/10.45 do 0 intro. intros zenon_H200 zenon_H25 zenon_H22c zenon_H158 zenon_H1b7 zenon_H1cb zenon_Hd2 zenon_H157 zenon_Hf8 zenon_H155 zenon_H108 zenon_H56 zenon_H1b4 zenon_Hd3 zenon_H7d zenon_H7e zenon_H7a zenon_H18d zenon_H35 zenon_H1ae zenon_Hc7 zenon_H150 zenon_He3 zenon_H42 zenon_H181 zenon_H6e zenon_H6f zenon_H27 zenon_H4c zenon_H95 zenon_H14d zenon_H192 zenon_H1f zenon_H191 zenon_Hdd zenon_He7 zenon_H17a zenon_H84 zenon_Hc0 zenon_H5e zenon_He8 zenon_H44 zenon_H91 zenon_H17c zenon_H90 zenon_H159 zenon_H53 zenon_H165 zenon_H18a zenon_H86 zenon_H187 zenon_H64 zenon_H1e2 zenon_H9a zenon_H198 zenon_Hc5 zenon_Hc8 zenon_H3c zenon_Hb1.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.28/10.45 exact (zenon_H25 zenon_H2a).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.28/10.45 exact (zenon_H22c zenon_H68).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.28/10.45 apply (zenon_L843_); trivial.
% 10.28/10.45 apply (zenon_L779_); trivial.
% 10.28/10.45 (* end of lemma zenon_L874_ *)
% 10.28/10.45 assert (zenon_L875_ : ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e2)) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((e1) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((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)) = (e2))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (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))))) -> (((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 (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))) -> (~((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 (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (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 (e1) (e3)) = (op (e3) (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 (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 10.28/10.45 do 0 intro. intros zenon_H43 zenon_H25 zenon_H22c zenon_H157 zenon_H1ae zenon_Hd2 zenon_H1cb zenon_H187 zenon_H9a zenon_H181 zenon_H7a zenon_H84 zenon_H1b7 zenon_H3c zenon_Hc5 zenon_H155 zenon_H6e zenon_H158 zenon_Hf8 zenon_H108 zenon_H56 zenon_H1b4 zenon_Hd3 zenon_H7d zenon_H7e zenon_H18d zenon_H35 zenon_H150 zenon_He3 zenon_H42 zenon_H6f zenon_H27 zenon_H4c zenon_H95 zenon_H14d zenon_H192 zenon_H1f zenon_H191 zenon_Hdd zenon_He7 zenon_H17a zenon_Hc0 zenon_H5e zenon_He8 zenon_H44 zenon_H17c zenon_H90 zenon_H159 zenon_H53 zenon_H165 zenon_H18a zenon_H86 zenon_H64 zenon_H1e2 zenon_H198 zenon_Hb1 zenon_H200.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.45 apply (zenon_L874_); trivial.
% 10.28/10.45 apply (zenon_L412_); trivial.
% 10.28/10.45 apply (zenon_L223_); trivial.
% 10.28/10.45 exact (zenon_H1ae zenon_Hb8).
% 10.28/10.45 (* end of lemma zenon_L875_ *)
% 10.28/10.45 assert (zenon_L876_ : ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((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 (e3) (e3)) = (e3)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e2)) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((e1) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((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)) = (e2))) -> (~((e1) = (e3))) -> (~((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) (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 (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e1))) -> (~((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 (e1) (e0)) = (op (e1) (e2)))) -> (~((e0) = (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 (e1) (e3)) = (op (e3) (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 (e1) (e0)) = (op (e1) (e3)))) -> (((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 (e3) (e0)) = (op (e3) (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 (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((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))))) -> False).
% 10.28/10.45 do 0 intro. intros zenon_H1af zenon_H43 zenon_H25 zenon_H22c zenon_H157 zenon_H1ae zenon_Hd2 zenon_H1cb zenon_H187 zenon_H181 zenon_H7a zenon_H84 zenon_H1b7 zenon_H3c zenon_Hc5 zenon_H155 zenon_H6e zenon_H158 zenon_Hf8 zenon_H108 zenon_H56 zenon_H1b4 zenon_Hd3 zenon_H7d zenon_H7e zenon_H18d zenon_H35 zenon_H150 zenon_He3 zenon_H42 zenon_H6f zenon_H27 zenon_H4c zenon_H95 zenon_H14d zenon_H1f zenon_Hdd zenon_He7 zenon_H17a zenon_Hc0 zenon_H5e zenon_H44 zenon_H17c zenon_H90 zenon_H159 zenon_H53 zenon_H165 zenon_H18a zenon_H86 zenon_H64 zenon_H1e2 zenon_H198 zenon_H200 zenon_H1b1 zenon_Hbb zenon_H205 zenon_H12c zenon_Hc6 zenon_H156 zenon_He8 zenon_H192 zenon_Haf zenon_H191.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.28/10.45 apply (zenon_L190_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.45 apply (zenon_L875_); trivial.
% 10.28/10.45 apply (zenon_L780_); trivial.
% 10.28/10.45 (* end of lemma zenon_L876_ *)
% 10.28/10.45 assert (zenon_L877_ : (((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 (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (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) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((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 (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((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))) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e1) (e2)) = (e1)) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> False).
% 10.28/10.45 do 0 intro. intros zenon_H200 zenon_H25 zenon_H22c zenon_Hc8 zenon_Hc7 zenon_Hf8 zenon_H1af zenon_H158 zenon_H155 zenon_Hc5 zenon_H3c zenon_H1b7 zenon_H181 zenon_H1cb zenon_Hd2 zenon_H1ae zenon_H157 zenon_H192 zenon_H16e zenon_H191 zenon_H144 zenon_H10b zenon_H53 zenon_H108 zenon_H56 zenon_H42 zenon_Hd3 zenon_H18a zenon_H7d zenon_H7e zenon_H7a zenon_H86 zenon_H18d zenon_H187 zenon_H6e zenon_H6f zenon_H35 zenon_Hcf zenon_He7 zenon_H95 zenon_H4c zenon_H17a zenon_H84 zenon_Hc0 zenon_H5e zenon_He8 zenon_H44 zenon_H91 zenon_H17c zenon_H9a zenon_H90 zenon_H27 zenon_H100 zenon_H64.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.28/10.45 exact (zenon_H25 zenon_H2a).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.28/10.45 exact (zenon_H22c zenon_H68).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.28/10.45 apply (zenon_L129_); trivial.
% 10.28/10.45 apply (zenon_L864_); trivial.
% 10.28/10.45 (* end of lemma zenon_L877_ *)
% 10.28/10.45 assert (zenon_L878_ : ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((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 (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e2) = (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 (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e1) (e0)) = (op (e2) (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) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> False).
% 10.28/10.45 do 0 intro. intros zenon_H174 zenon_H22c zenon_H4a zenon_H1af zenon_H158 zenon_H145 zenon_H5e zenon_H155 zenon_Hc5 zenon_H2a zenon_H12f zenon_H1b7 zenon_H84 zenon_H7a zenon_H181 zenon_H187 zenon_H58 zenon_Hd2 zenon_H1ae zenon_H157 zenon_H192 zenon_H16e zenon_H6e zenon_H191 zenon_H156 zenon_H150 zenon_Hda zenon_He3 zenon_H53 zenon_H90 zenon_H95 zenon_H8c zenon_H1e2 zenon_Hd3 zenon_Hb0 zenon_H4c zenon_H3c zenon_Hdd zenon_H1bc zenon_H18a zenon_H86 zenon_H198 zenon_H17c zenon_H64 zenon_H1cb zenon_H159 zenon_Hec zenon_H103 zenon_H1f0 zenon_H1b1 zenon_H35 zenon_H1c3 zenon_H1c0 zenon_H1ba zenon_Hce zenon_H42 zenon_H97 zenon_H168 zenon_H132 zenon_H67.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.28/10.45 apply (zenon_L851_); trivial.
% 10.28/10.45 exact (zenon_H22c zenon_H68).
% 10.28/10.45 (* end of lemma zenon_L878_ *)
% 10.28/10.45 assert (zenon_L879_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e2)) = (e2)) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((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)) = (e2))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (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))))) -> (((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 (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))) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (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) (e0)) = (op (e1) (e2)))) -> (~((e0) = (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 (e1) (e3)) = (op (e3) (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 (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 10.28/10.45 do 0 intro. intros zenon_H151 zenon_H1b0 zenon_H25 zenon_H22c zenon_H157 zenon_H1ae zenon_Hd2 zenon_H1cb zenon_H187 zenon_H9a zenon_H181 zenon_H7a zenon_H84 zenon_H1b7 zenon_H3c zenon_Hc5 zenon_H155 zenon_H6e zenon_H158 zenon_Hf8 zenon_H108 zenon_H56 zenon_H1b4 zenon_Hd3 zenon_H7d zenon_H18d zenon_H35 zenon_Hc7 zenon_H150 zenon_He3 zenon_H42 zenon_H6f zenon_H27 zenon_H4c zenon_H95 zenon_H14d zenon_H192 zenon_H1f zenon_H191 zenon_Hdd zenon_He7 zenon_H17a zenon_Hc0 zenon_H5e zenon_He8 zenon_H44 zenon_H91 zenon_H17c zenon_H90 zenon_H159 zenon_H53 zenon_H165 zenon_H18a zenon_H86 zenon_H64 zenon_H1e2 zenon_H198 zenon_Hc8 zenon_Hb1 zenon_H200.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.28/10.45 apply (zenon_L874_); trivial.
% 10.28/10.45 exact (zenon_H1b0 zenon_Hbd).
% 10.28/10.45 (* end of lemma zenon_L879_ *)
% 10.28/10.45 assert (zenon_L880_ : ((~((op (e2) (e2)) = (e1)))\/(~((op (e2) (e1)) = (e2)))) -> (~((op (e1) (e2)) = (op (e1) (e3)))) -> (~((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))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/((op (e3) (e0)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (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 (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 (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 (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((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) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (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 (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((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)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e2)) -> (~((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)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (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 (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)) = (op (e2) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e1) (e1)) = (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)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (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 (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e0) (e1)) = (e0))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((~((op (e3) (e3)) = (e1)))\/(~((op (e3) (e1)) = (e3)))) -> False).
% 10.28/10.45 do 0 intro. intros zenon_H22a zenon_H230 zenon_H205 zenon_Hbb zenon_H165 zenon_H17a zenon_H18e zenon_He3 zenon_Hec zenon_H12c zenon_H1dd zenon_H1de zenon_H3c zenon_Hda zenon_H128 zenon_H8c zenon_Hb0 zenon_H97 zenon_H1e2 zenon_H18a zenon_H10b zenon_H1e6 zenon_H112 zenon_Hde zenon_Hab zenon_H16f zenon_H67 zenon_Hc6 zenon_H168 zenon_Hae zenon_H11d zenon_H144 zenon_H4a zenon_H204 zenon_H152 zenon_H114 zenon_H1ef zenon_H195 zenon_H1f zenon_H1f0 zenon_Hf5 zenon_H177 zenon_H200 zenon_H1f8 zenon_H1fb zenon_Hfd zenon_H173 zenon_H18d zenon_H1b7 zenon_H7a zenon_H58 zenon_H198 zenon_H6f zenon_H159 zenon_H6e zenon_H35 zenon_H1b1 zenon_H16b zenon_H14d zenon_H157 zenon_H64 zenon_H187 zenon_H95 zenon_H4c zenon_H42 zenon_H181 zenon_H53 zenon_He7 zenon_Hc0 zenon_H44 zenon_Hd3 zenon_Hd2 zenon_H1af zenon_Hdd zenon_Hce zenon_H1b4 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H150 zenon_H12f zenon_Hc5 zenon_H155 zenon_H5e zenon_H145 zenon_H158 zenon_H192 zenon_H191 zenon_Hf8 zenon_H108 zenon_H1cb zenon_H103 zenon_H132 zenon_H86 zenon_H7d zenon_H17c zenon_H90 zenon_H156 zenon_H16e zenon_H1ea zenon_H22c zenon_H174 zenon_H151 zenon_H22b.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H91 | zenon_intro zenon_H1ae ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H7e | zenon_intro zenon_H1b0 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.28/10.45 apply (zenon_L382_); trivial.
% 10.28/10.45 exact (zenon_H22c zenon_H68).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.28/10.45 exact (zenon_H192 zenon_H1d).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.28/10.45 apply (zenon_L223_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.28/10.45 apply (zenon_L190_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.45 apply (zenon_L868_); trivial.
% 10.28/10.45 apply (zenon_L786_); trivial.
% 10.28/10.45 apply (zenon_L223_); trivial.
% 10.28/10.45 apply (zenon_L397_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.28/10.45 apply (zenon_L224_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.45 apply (zenon_L869_); trivial.
% 10.28/10.45 apply (zenon_L786_); trivial.
% 10.28/10.45 apply (zenon_L223_); trivial.
% 10.28/10.45 apply (zenon_L235_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.45 apply (zenon_L871_); trivial.
% 10.28/10.45 apply (zenon_L296_); trivial.
% 10.28/10.45 apply (zenon_L194_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.28/10.45 apply (zenon_L190_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.45 apply (zenon_L868_); trivial.
% 10.28/10.45 apply (zenon_L412_); trivial.
% 10.28/10.45 apply (zenon_L223_); trivial.
% 10.28/10.45 apply (zenon_L397_); trivial.
% 10.28/10.45 apply (zenon_L456_); trivial.
% 10.28/10.45 apply (zenon_L458_); trivial.
% 10.28/10.45 apply (zenon_L459_); trivial.
% 10.28/10.45 exact (zenon_H22c zenon_H68).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.28/10.45 apply (zenon_L463_); trivial.
% 10.28/10.45 exact (zenon_H22c zenon_H68).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.28/10.45 apply (zenon_L823_); trivial.
% 10.28/10.45 exact (zenon_H22c zenon_H68).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.28/10.45 exact (zenon_H192 zenon_H1d).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.28/10.45 apply (zenon_L223_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.28/10.45 apply (zenon_L224_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.28/10.45 apply (zenon_L868_); trivial.
% 10.28/10.45 exact (zenon_H1b0 zenon_Hbd).
% 10.28/10.45 apply (zenon_L786_); trivial.
% 10.28/10.45 apply (zenon_L223_); trivial.
% 10.28/10.45 apply (zenon_L397_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.28/10.45 apply (zenon_L224_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.28/10.45 apply (zenon_L869_); trivial.
% 10.28/10.45 exact (zenon_H1b0 zenon_Hbd).
% 10.28/10.45 apply (zenon_L873_); trivial.
% 10.28/10.45 apply (zenon_L223_); trivial.
% 10.28/10.45 apply (zenon_L235_); trivial.
% 10.28/10.45 apply (zenon_L822_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.28/10.45 apply (zenon_L190_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.28/10.45 apply (zenon_L867_); trivial.
% 10.28/10.45 apply (zenon_L254_); trivial.
% 10.28/10.45 exact (zenon_H1b0 zenon_Hbd).
% 10.28/10.45 apply (zenon_L786_); trivial.
% 10.28/10.45 apply (zenon_L223_); trivial.
% 10.28/10.45 apply (zenon_L397_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.28/10.45 apply (zenon_L224_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.45 apply (zenon_L826_); trivial.
% 10.28/10.45 apply (zenon_L786_); trivial.
% 10.28/10.45 apply (zenon_L223_); trivial.
% 10.28/10.45 apply (zenon_L235_); trivial.
% 10.28/10.45 apply (zenon_L822_); trivial.
% 10.28/10.45 apply (zenon_L459_); trivial.
% 10.28/10.45 exact (zenon_H22c zenon_H68).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.28/10.45 apply (zenon_L830_); trivial.
% 10.28/10.45 exact (zenon_H22c zenon_H68).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H7e | zenon_intro zenon_H1b0 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.28/10.45 apply (zenon_L842_); trivial.
% 10.28/10.45 exact (zenon_H22c zenon_H68).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.28/10.45 exact (zenon_H192 zenon_H1d).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.28/10.45 apply (zenon_L223_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.28/10.45 apply (zenon_L190_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.45 apply (zenon_L874_); trivial.
% 10.28/10.45 apply (zenon_L786_); trivial.
% 10.28/10.45 apply (zenon_L223_); trivial.
% 10.28/10.45 exact (zenon_H1ae zenon_Hb8).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.28/10.45 exact (zenon_H25 zenon_H2a).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.28/10.45 exact (zenon_H22c zenon_H68).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.28/10.45 apply (zenon_L669_); trivial.
% 10.28/10.45 apply (zenon_L876_); trivial.
% 10.28/10.45 apply (zenon_L786_); trivial.
% 10.28/10.45 exact (zenon_H1ae zenon_Hb8).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.28/10.45 apply (zenon_L224_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.45 apply (zenon_L874_); trivial.
% 10.28/10.45 apply (zenon_L872_); trivial.
% 10.28/10.45 apply (zenon_L223_); trivial.
% 10.28/10.45 exact (zenon_H1ae zenon_Hb8).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.45 apply (zenon_L877_); trivial.
% 10.28/10.45 apply (zenon_L872_); trivial.
% 10.28/10.45 apply (zenon_L321_); trivial.
% 10.28/10.45 exact (zenon_H1ae zenon_Hb8).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.45 apply (zenon_L871_); trivial.
% 10.28/10.45 exact (zenon_H1ae zenon_Hb8).
% 10.28/10.45 apply (zenon_L296_); trivial.
% 10.28/10.45 apply (zenon_L194_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.28/10.45 apply (zenon_L876_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.28/10.45 apply (zenon_L224_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.45 apply (zenon_L875_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.45 apply (zenon_L864_); trivial.
% 10.28/10.45 exact (zenon_H1ae zenon_Hb8).
% 10.28/10.45 apply (zenon_L849_); trivial.
% 10.28/10.45 apply (zenon_L845_); trivial.
% 10.28/10.45 exact (zenon_H22c zenon_H68).
% 10.28/10.45 apply (zenon_L878_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.28/10.45 apply (zenon_L853_); trivial.
% 10.28/10.45 exact (zenon_H22c zenon_H68).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.28/10.45 exact (zenon_H192 zenon_H1d).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.28/10.45 apply (zenon_L223_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.28/10.45 apply (zenon_L190_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.45 apply (zenon_L879_); trivial.
% 10.28/10.45 apply (zenon_L786_); trivial.
% 10.28/10.45 apply (zenon_L223_); trivial.
% 10.28/10.45 exact (zenon_H1ae zenon_Hb8).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.28/10.45 exact (zenon_H25 zenon_H2a).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.28/10.45 exact (zenon_H22c zenon_H68).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.28/10.45 apply (zenon_L129_); trivial.
% 10.28/10.45 apply (zenon_L861_); trivial.
% 10.28/10.45 apply (zenon_L44_); trivial.
% 10.28/10.45 apply (zenon_L321_); trivial.
% 10.28/10.45 exact (zenon_H1ae zenon_Hb8).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.28/10.45 apply (zenon_L224_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.45 apply (zenon_L879_); trivial.
% 10.28/10.45 apply (zenon_L873_); trivial.
% 10.28/10.45 apply (zenon_L223_); trivial.
% 10.28/10.45 exact (zenon_H1ae zenon_Hb8).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.28/10.45 apply (zenon_L877_); trivial.
% 10.28/10.45 exact (zenon_H1b0 zenon_Hbd).
% 10.28/10.45 apply (zenon_L44_); trivial.
% 10.28/10.45 apply (zenon_L321_); trivial.
% 10.28/10.45 exact (zenon_H1ae zenon_Hb8).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.28/10.45 exact (zenon_H25 zenon_H2a).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.28/10.45 exact (zenon_H22c zenon_H68).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.28/10.45 apply (zenon_L845_); trivial.
% 10.28/10.45 apply (zenon_L857_); trivial.
% 10.28/10.45 exact (zenon_H1b0 zenon_Hbd).
% 10.28/10.45 apply (zenon_L266_); trivial.
% 10.28/10.45 apply (zenon_L870_); trivial.
% 10.28/10.45 apply (zenon_L223_); trivial.
% 10.28/10.45 exact (zenon_H1ae zenon_Hb8).
% 10.28/10.45 apply (zenon_L296_); trivial.
% 10.28/10.45 apply (zenon_L194_); trivial.
% 10.28/10.45 apply (zenon_L865_); trivial.
% 10.28/10.45 apply (zenon_L845_); trivial.
% 10.28/10.45 exact (zenon_H22c zenon_H68).
% 10.28/10.45 apply (zenon_L878_); trivial.
% 10.28/10.45 (* end of lemma zenon_L880_ *)
% 10.28/10.45 assert (zenon_L881_ : ((~((op (e3) (e3)) = (e1)))\/(~((op (e3) (e1)) = (e3)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((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 (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((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)) = (op (e0) (e3)))) -> (((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 (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 (e0) (e1)) = (op (e2) (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 (e3) (e1)) = (op (e3) (e2)))) -> (~((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) (e3)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (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) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e1))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (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) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((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)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e0) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((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 (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (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) (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))))) -> (~((e0) = (e2))) -> (((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) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> False).
% 10.28/10.45 do 0 intro. intros zenon_H22b zenon_H151 zenon_H67 zenon_Hab zenon_Hde zenon_H112 zenon_Hc6 zenon_H18a zenon_H1e2 zenon_H17c zenon_H64 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H90 zenon_H58 zenon_H128 zenon_Hce zenon_Hdd zenon_H7a zenon_H1b7 zenon_H8c zenon_Hd3 zenon_Hb0 zenon_H12c zenon_Hec zenon_H159 zenon_H1cb zenon_H1b1 zenon_He3 zenon_H150 zenon_H168 zenon_Hae zenon_H191 zenon_H188 zenon_H11d zenon_H192 zenon_H156 zenon_H1b4 zenon_H198 zenon_H1dd zenon_Hda zenon_H56 zenon_Hd2 zenon_H42 zenon_H181 zenon_H132 zenon_H103 zenon_H4c zenon_H35 zenon_H95 zenon_H10b zenon_H187 zenon_H97 zenon_H18d zenon_H12f zenon_H5e zenon_H7d zenon_H86 zenon_H145 zenon_H108 zenon_H53 zenon_H155 zenon_H3c zenon_H91 zenon_Hc5 zenon_Hf8 zenon_H6f zenon_H144 zenon_H158 zenon_H1ea zenon_H4a zenon_H204 zenon_He7 zenon_H152 zenon_H114 zenon_H16b zenon_H1ef zenon_H195 zenon_H1f zenon_H1af zenon_H1f0 zenon_H1e6 zenon_Hf5 zenon_Hc0 zenon_H177 zenon_H44 zenon_H14d zenon_H200 zenon_H1f8 zenon_H1fb zenon_Hfd zenon_H173.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H7e | zenon_intro zenon_H1b0 ].
% 10.28/10.45 apply (zenon_L379_); trivial.
% 10.28/10.45 apply (zenon_L820_); trivial.
% 10.28/10.45 (* end of lemma zenon_L881_ *)
% 10.28/10.45 assert (zenon_L882_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((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 (e2) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (((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) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (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)) = (e3))) -> (~((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 (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e0)) = (e3))) -> (~((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 (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.28/10.45 do 0 intro. intros zenon_H151 zenon_H1b0 zenon_H18d zenon_He3 zenon_H56 zenon_H90 zenon_H58 zenon_H2a zenon_H7d zenon_H86 zenon_H5e zenon_H128 zenon_H27 zenon_H1c3 zenon_Hbc zenon_H1c0 zenon_H15a zenon_H1bc zenon_H1ba zenon_Hce zenon_H95 zenon_Hdd zenon_H7a zenon_H187 zenon_H188 zenon_H1b7 zenon_H8c zenon_H91 zenon_Hd3 zenon_Hcf zenon_H35 zenon_H42 zenon_Hf5 zenon_H10b zenon_H1f0 zenon_H192 zenon_H12c zenon_H198 zenon_Hab zenon_Hc8 zenon_Hc7 zenon_H181 zenon_H1e2 zenon_Hde zenon_H1ae zenon_Haf zenon_H1b1 zenon_H28 zenon_H4c zenon_H97 zenon_H1cb zenon_H159 zenon_Hec zenon_H103 zenon_H53 zenon_H64 zenon_H1dd zenon_Hf8.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.28/10.45 apply (zenon_L713_); trivial.
% 10.28/10.45 exact (zenon_H1b0 zenon_Hbd).
% 10.28/10.45 (* end of lemma zenon_L882_ *)
% 10.28/10.45 assert (zenon_L883_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (((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)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((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 (e2) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (((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) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (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)) = (e3))) -> (~((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 (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e0)) = (e3))) -> (~((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 (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.28/10.45 do 0 intro. intros zenon_Hda zenon_H151 zenon_H1b0 zenon_H18d zenon_He3 zenon_H56 zenon_H90 zenon_H58 zenon_H2a zenon_H7d zenon_H86 zenon_H5e zenon_H128 zenon_H27 zenon_H1c3 zenon_H1c0 zenon_H15a zenon_H1bc zenon_H1ba zenon_Hce zenon_H95 zenon_Hdd zenon_H7a zenon_H187 zenon_H188 zenon_H1b7 zenon_H8c zenon_H91 zenon_Hd3 zenon_Hcf zenon_H35 zenon_H42 zenon_Hf5 zenon_H10b zenon_H1f0 zenon_H192 zenon_H12c zenon_H198 zenon_Hab zenon_Hc8 zenon_Hc7 zenon_H181 zenon_H1e2 zenon_Hde zenon_H1ae zenon_Haf zenon_H1b1 zenon_H28 zenon_H4c zenon_H97 zenon_H1cb zenon_H159 zenon_Hec zenon_H103 zenon_H53 zenon_H64 zenon_H1dd zenon_Hf8.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdb ].
% 10.28/10.45 exact (zenon_H28 zenon_H31).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H6c | zenon_intro zenon_Hdc ].
% 10.28/10.45 apply (zenon_L239_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H74 | zenon_intro zenon_Hbc ].
% 10.28/10.45 apply (zenon_L155_); trivial.
% 10.28/10.45 apply (zenon_L882_); trivial.
% 10.28/10.45 (* end of lemma zenon_L883_ *)
% 10.28/10.45 assert (zenon_L884_ : (~((op (e0) (e0)) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((e2) = (e3))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((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)) = (op (e2) (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 (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)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (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) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (((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 (e2) (e2)) = (e3))) -> (~((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 (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (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 (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> False).
% 10.28/10.45 do 0 intro. intros zenon_H56 zenon_Hb0 zenon_Hb1 zenon_H8d zenon_H7e zenon_H7f zenon_H28 zenon_H198 zenon_H188 zenon_H95 zenon_H151 zenon_H1b0 zenon_H18d zenon_He3 zenon_H90 zenon_H58 zenon_H2a zenon_H7d zenon_H86 zenon_H5e zenon_H128 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_Hce zenon_Hdd zenon_H7a zenon_H187 zenon_H1b7 zenon_H8c zenon_H91 zenon_Hd3 zenon_H42 zenon_Hf5 zenon_H10b zenon_H1f0 zenon_H192 zenon_H12c zenon_Hab zenon_Hc8 zenon_Hc7 zenon_H181 zenon_H1e2 zenon_Hde zenon_H1ae zenon_Haf zenon_H1b1 zenon_H4c zenon_H97 zenon_H1cb zenon_H159 zenon_Hec zenon_H103 zenon_H53 zenon_H64 zenon_H1dd zenon_Hf8 zenon_Hda zenon_H15a zenon_H35 zenon_H27 zenon_Hc5 zenon_H3c.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.28/10.45 exact (zenon_H56 zenon_H2c).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hdf ].
% 10.28/10.45 exact (zenon_H27 zenon_H32).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H6a | zenon_intro zenon_He0 ].
% 10.28/10.45 apply (zenon_L238_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd8 ].
% 10.28/10.45 apply (zenon_L883_); trivial.
% 10.28/10.45 apply (zenon_L251_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.28/10.45 apply (zenon_L103_); trivial.
% 10.28/10.45 apply (zenon_L87_); trivial.
% 10.28/10.45 apply (zenon_L252_); trivial.
% 10.28/10.45 (* end of lemma zenon_L884_ *)
% 10.28/10.45 assert (zenon_L885_ : ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (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)) = (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 (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (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 (e0) (e1)) = (op (e2) (e1)))) -> (((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) (e3)) = (op (e3) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (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) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e1))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e0) (e0)) = (e1))) -> (((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)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e1) (e1)) = (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 (e1) (e0)) = (op (e1) (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) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (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)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (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) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e1)) = (e2))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> False).
% 10.28/10.45 do 0 intro. intros zenon_H67 zenon_H150 zenon_H64 zenon_Hec zenon_H1cb zenon_H1b1 zenon_Hde zenon_H1e2 zenon_Hab zenon_H12c zenon_H1f0 zenon_Hf5 zenon_Hd3 zenon_H8c zenon_H1b7 zenon_H7a zenon_Hce zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H128 zenon_H58 zenon_H90 zenon_He3 zenon_Hb0 zenon_H18a zenon_H17c zenon_H191 zenon_H188 zenon_H11d zenon_H192 zenon_H156 zenon_H56 zenon_Hda zenon_H1dd zenon_H1b4 zenon_H158 zenon_H1ea zenon_H6f zenon_H144 zenon_H159 zenon_Hdd zenon_Hc0 zenon_H114 zenon_H16b zenon_Hc6 zenon_Hae zenon_H198 zenon_H1af zenon_H168 zenon_H151 zenon_H1b0 zenon_H18d zenon_H12f zenon_H2a zenon_H5e zenon_H7d zenon_H86 zenon_H145 zenon_H108 zenon_H53 zenon_H155 zenon_H3c zenon_Hc5 zenon_Hf8 zenon_H42 zenon_H181 zenon_H132 zenon_H103 zenon_H4c zenon_H35 zenon_H95 zenon_H10b zenon_H187 zenon_H97 zenon_Hd2 zenon_H1ae zenon_H157 zenon_H4a.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.28/10.45 apply (zenon_L297_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.45 apply (zenon_L812_); trivial.
% 10.28/10.45 exact (zenon_H1ae zenon_Hb8).
% 10.28/10.45 apply (zenon_L813_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.28/10.45 apply (zenon_L884_); trivial.
% 10.28/10.45 apply (zenon_L254_); trivial.
% 10.28/10.45 exact (zenon_H1b0 zenon_Hbd).
% 10.28/10.45 apply (zenon_L814_); trivial.
% 10.28/10.45 apply (zenon_L815_); trivial.
% 10.28/10.45 apply (zenon_L811_); trivial.
% 10.28/10.45 exact (zenon_H1ae zenon_Hb8).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.28/10.45 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.45 apply (zenon_L883_); trivial.
% 10.28/10.45 apply (zenon_L44_); trivial.
% 10.28/10.45 apply (zenon_L321_); trivial.
% 10.28/10.45 exact (zenon_H1ae zenon_Hb8).
% 10.28/10.45 apply (zenon_L123_); trivial.
% 10.28/10.45 apply (zenon_L213_); trivial.
% 10.28/10.45 apply (zenon_L101_); trivial.
% 10.28/10.45 (* end of lemma zenon_L885_ *)
% 10.28/10.45 assert (zenon_L886_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e1) (e1)) = (e2)) -> ((op (e2) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (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))))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (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)) = (e3))) -> False).
% 10.28/10.45 do 0 intro. intros zenon_Hc0 zenon_Hb4 zenon_H78 zenon_Hc1 zenon_H7f zenon_H158 zenon_H152 zenon_H3c zenon_H51 zenon_H91 zenon_Hc8 zenon_Hc5 zenon_Hf2 zenon_H35 zenon_H16b zenon_H95 zenon_H114 zenon_H10b zenon_H52 zenon_H80 zenon_H177 zenon_H1b0.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H4b | zenon_intro zenon_Hc2 ].
% 10.28/10.45 apply (zenon_L334_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc3 ].
% 10.28/10.45 exact (zenon_Hc1 zenon_Hc4).
% 10.28/10.45 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hbd ].
% 10.28/10.45 apply (zenon_L368_); trivial.
% 10.28/10.45 exact (zenon_H1b0 zenon_Hbd).
% 10.28/10.45 (* end of lemma zenon_L886_ *)
% 10.28/10.45 assert (zenon_L887_ : (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e0)) = (e3)) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e2)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 10.28/10.45 do 0 intro. intros zenon_Hf5 zenon_Hbc zenon_H4c zenon_H35 zenon_Hd6 zenon_H100 zenon_H1e6 zenon_H7e.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hf6 ].
% 10.28/10.45 apply (zenon_L139_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hf7 ].
% 10.28/10.45 apply (zenon_L63_); trivial.
% 10.28/10.45 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H83 ].
% 10.28/10.45 apply (zenon_L328_); trivial.
% 10.28/10.45 exact (zenon_H7e zenon_H83).
% 10.28/10.45 (* end of lemma zenon_L887_ *)
% 10.28/10.45 assert (zenon_L888_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e3)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((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 (e3) (e1)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e1) = (e3))) -> False).
% 10.28/10.46 do 0 intro. intros zenon_H64 zenon_H56 zenon_H97 zenon_H28 zenon_H7e zenon_H1e6 zenon_H100 zenon_H5e zenon_Hbc zenon_Hf5 zenon_H1b1 zenon_H1f0 zenon_Hde zenon_H1f zenon_H192 zenon_He8 zenon_H191 zenon_H1b0 zenon_H177 zenon_H80 zenon_H10b zenon_H114 zenon_H95 zenon_H16b zenon_Hc5 zenon_Hc8 zenon_H91 zenon_H51 zenon_H3c zenon_H152 zenon_H158 zenon_H7f zenon_Hc1 zenon_Hc0 zenon_H1ae zenon_H35 zenon_Hfd zenon_He7 zenon_H4c.
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.28/10.46 exact (zenon_H56 zenon_H2c).
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.28/10.46 apply (zenon_L329_); trivial.
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.28/10.46 apply (zenon_L12_); trivial.
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H31 | zenon_intro zenon_H98 ].
% 10.28/10.46 exact (zenon_H28 zenon_H31).
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ].
% 10.28/10.46 apply (zenon_L365_); trivial.
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H52 | zenon_intro zenon_H57 ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H68 | zenon_intro zenon_He9 ].
% 10.28/10.46 apply (zenon_L69_); trivial.
% 10.28/10.46 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Heb | zenon_intro zenon_Hea ].
% 10.28/10.46 exact (zenon_He8 zenon_Heb).
% 10.28/10.46 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H78 | zenon_intro zenon_He5 ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1e | zenon_intro zenon_H1b2 ].
% 10.28/10.46 apply (zenon_L329_); trivial.
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1d | zenon_intro zenon_H1b3 ].
% 10.28/10.46 exact (zenon_H192 zenon_H1d).
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H77 | zenon_intro zenon_Hf2 ].
% 10.28/10.46 apply (zenon_L22_); trivial.
% 10.28/10.46 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H34 | zenon_intro zenon_He1 ].
% 10.28/10.46 apply (zenon_L331_); trivial.
% 10.28/10.46 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_Hb4 | zenon_intro zenon_He2 ].
% 10.28/10.46 apply (zenon_L886_); trivial.
% 10.28/10.46 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ].
% 10.28/10.46 exact (zenon_H1ae zenon_Hb8).
% 10.28/10.46 apply (zenon_L887_); trivial.
% 10.28/10.46 apply (zenon_L364_); trivial.
% 10.28/10.46 apply (zenon_L13_); trivial.
% 10.28/10.46 (* end of lemma zenon_L888_ *)
% 10.28/10.46 assert (zenon_L889_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (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) (e1)) = (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) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((e0) = (e1))) -> (((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)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.28/10.46 do 0 intro. intros zenon_H151 zenon_H18d zenon_H188 zenon_H86 zenon_H25 zenon_H64 zenon_H27 zenon_H44 zenon_H97 zenon_H95 zenon_H53 zenon_H28 zenon_H35 zenon_H42 zenon_H6f zenon_H4c zenon_Hbc zenon_H1f0 zenon_H1e6 zenon_H100 zenon_Hf5 zenon_H56 zenon_He7 zenon_H192 zenon_Hc1 zenon_H191 zenon_He8 zenon_Hfd zenon_Hde zenon_H1ae zenon_H177 zenon_Hc5 zenon_Hc8 zenon_H91 zenon_H3c zenon_H152 zenon_H158 zenon_H114 zenon_H10b zenon_H16b zenon_H1b0 zenon_Hc0 zenon_H1f zenon_H1b1 zenon_H5e zenon_H7d zenon_H7a zenon_H200 zenon_H1dd zenon_Hf8.
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.28/10.46 exact (zenon_H25 zenon_H2a).
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.28/10.46 apply (zenon_L363_); trivial.
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.28/10.46 apply (zenon_L888_); trivial.
% 10.28/10.46 apply (zenon_L24_); trivial.
% 10.28/10.46 apply (zenon_L252_); trivial.
% 10.28/10.46 apply (zenon_L267_); trivial.
% 10.28/10.46 exact (zenon_H1b0 zenon_Hbd).
% 10.28/10.46 (* end of lemma zenon_L889_ *)
% 10.28/10.46 assert (zenon_L890_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e1))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (~((e0) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e3)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e3) (e1)) = (e3))) -> False).
% 10.28/10.46 do 0 intro. intros zenon_Hc0 zenon_H1e zenon_Hd3 zenon_Hb1 zenon_H191 zenon_He8 zenon_H192 zenon_H53 zenon_Hb0 zenon_Hc1 zenon_H8d zenon_H5e zenon_H7d zenon_H47 zenon_H7f zenon_H80 zenon_H18d zenon_H188 zenon_H86 zenon_H7a zenon_H7e zenon_H8c zenon_H91 zenon_H4c zenon_H74 zenon_H90 zenon_H1b0.
% 10.28/10.46 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H4b | zenon_intro zenon_Hc2 ].
% 10.28/10.46 apply (zenon_L336_); trivial.
% 10.28/10.46 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc3 ].
% 10.28/10.46 exact (zenon_Hc1 zenon_Hc4).
% 10.28/10.46 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hbd ].
% 10.28/10.46 apply (zenon_L339_); trivial.
% 10.28/10.46 exact (zenon_H1b0 zenon_Hbd).
% 10.28/10.46 (* end of lemma zenon_L890_ *)
% 10.28/10.46 assert (zenon_L891_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e3) (e1)) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e1) (e3)) = (e3)) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> ((op (e0) (e3)) = (e2)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((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) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e1)) = (e1)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e1)) -> False).
% 10.28/10.46 do 0 intro. intros zenon_Hda zenon_H28 zenon_H198 zenon_H1b0 zenon_H90 zenon_H91 zenon_H8c zenon_H7e zenon_H7a zenon_H86 zenon_H188 zenon_H18d zenon_H80 zenon_H7f zenon_H47 zenon_H7d zenon_H5e zenon_H8d zenon_Hc1 zenon_Hb0 zenon_H53 zenon_H192 zenon_He8 zenon_H191 zenon_Hb1 zenon_Hd3 zenon_H1e zenon_Hc0 zenon_H4c zenon_Hf0.
% 10.28/10.46 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdb ].
% 10.28/10.46 exact (zenon_H28 zenon_H31).
% 10.28/10.46 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H6c | zenon_intro zenon_Hdc ].
% 10.28/10.46 apply (zenon_L239_); trivial.
% 10.28/10.46 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H74 | zenon_intro zenon_Hbc ].
% 10.28/10.46 apply (zenon_L890_); trivial.
% 10.28/10.46 apply (zenon_L139_); trivial.
% 10.28/10.46 (* end of lemma zenon_L891_ *)
% 10.28/10.46 assert (zenon_L892_ : ((~((op (e2) (e2)) = (e1)))\/(~((op (e2) (e1)) = (e2)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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 (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (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 (e0) (e2)) = (op (e1) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((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) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (~((e1) = (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) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (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 (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((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 (e3) (e1)) = (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) (e1)) = (op (e2) (e1)))) -> (((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) (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 (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (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 (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((~((op (e3) (e3)) = (e1)))\/(~((op (e3) (e1)) = (e3)))) -> False).
% 10.28/10.46 do 0 intro. intros zenon_H22a zenon_H157 zenon_H173 zenon_Hfd zenon_H1fb zenon_H1f8 zenon_H200 zenon_H14d zenon_H44 zenon_H177 zenon_Hc0 zenon_Hf5 zenon_H1e6 zenon_H1f0 zenon_H1af zenon_H1f zenon_H195 zenon_H1ef zenon_H16b zenon_H114 zenon_H152 zenon_He7 zenon_H204 zenon_H4a zenon_H1ea zenon_H158 zenon_H144 zenon_H6f zenon_Hf8 zenon_Hc5 zenon_H3c zenon_H155 zenon_H53 zenon_H108 zenon_H145 zenon_H86 zenon_H7d zenon_H5e zenon_H12f zenon_H18d zenon_H97 zenon_H187 zenon_H10b zenon_H95 zenon_H35 zenon_H4c zenon_H103 zenon_H132 zenon_H181 zenon_H42 zenon_Hd2 zenon_H56 zenon_Hda zenon_H1dd zenon_H198 zenon_H1b4 zenon_H156 zenon_H192 zenon_H11d zenon_H188 zenon_H191 zenon_Hae zenon_H168 zenon_H150 zenon_He3 zenon_H1b1 zenon_H1cb zenon_H159 zenon_Hec zenon_H12c zenon_Hb0 zenon_Hd3 zenon_H8c zenon_H1b7 zenon_H7a zenon_Hdd zenon_Hce zenon_H128 zenon_H58 zenon_H90 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H64 zenon_H17c zenon_H1e2 zenon_H18a zenon_Hc6 zenon_H112 zenon_Hde zenon_Hab zenon_H67 zenon_H151 zenon_H22b.
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H91 | zenon_intro zenon_H1ae ].
% 10.28/10.46 apply (zenon_L881_); trivial.
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H7e | zenon_intro zenon_H1b0 ].
% 10.28/10.46 apply (zenon_L726_); trivial.
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.28/10.46 apply (zenon_L885_); trivial.
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.28/10.46 exact (zenon_H192 zenon_H1d).
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.28/10.46 apply (zenon_L297_); trivial.
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.28/10.46 exact (zenon_H25 zenon_H2a).
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.28/10.46 exact (zenon_H56 zenon_H2c).
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 10.28/10.46 exact (zenon_H56 zenon_H2c).
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 10.28/10.46 apply (zenon_L326_); trivial.
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdb ].
% 10.28/10.46 exact (zenon_H28 zenon_H31).
% 10.28/10.46 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H6c | zenon_intro zenon_Hdc ].
% 10.28/10.46 apply (zenon_L239_); trivial.
% 10.28/10.46 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H74 | zenon_intro zenon_Hbc ].
% 10.28/10.46 apply (zenon_L21_); trivial.
% 10.28/10.46 apply (zenon_L889_); trivial.
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 10.28/10.46 exact (zenon_H27 zenon_H32).
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 10.28/10.46 apply (zenon_L331_); trivial.
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 10.28/10.46 apply (zenon_L5_); trivial.
% 10.28/10.46 apply (zenon_L891_); trivial.
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.28/10.46 apply (zenon_L228_); trivial.
% 10.28/10.46 apply (zenon_L610_); trivial.
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.28/10.46 apply (zenon_L344_); trivial.
% 10.28/10.46 apply (zenon_L24_); trivial.
% 10.28/10.46 apply (zenon_L252_); trivial.
% 10.28/10.46 apply (zenon_L360_); trivial.
% 10.28/10.46 exact (zenon_H1b0 zenon_Hbd).
% 10.28/10.46 apply (zenon_L889_); trivial.
% 10.28/10.46 apply (zenon_L354_); trivial.
% 10.28/10.46 exact (zenon_H1ae zenon_Hb8).
% 10.28/10.46 apply (zenon_L321_); trivial.
% 10.28/10.46 apply (zenon_L373_); trivial.
% 10.28/10.46 apply (zenon_L810_); trivial.
% 10.28/10.46 apply (zenon_L817_); trivial.
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.28/10.46 apply (zenon_L297_); trivial.
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.28/10.46 apply (zenon_L818_); trivial.
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.28/10.46 apply (zenon_L888_); trivial.
% 10.28/10.46 apply (zenon_L266_); trivial.
% 10.28/10.46 apply (zenon_L358_); trivial.
% 10.28/10.46 exact (zenon_H1b0 zenon_Hbd).
% 10.28/10.46 apply (zenon_L354_); trivial.
% 10.28/10.46 exact (zenon_H1ae zenon_Hb8).
% 10.28/10.46 apply (zenon_L321_); trivial.
% 10.28/10.46 apply (zenon_L373_); trivial.
% 10.28/10.46 apply (zenon_L725_); trivial.
% 10.28/10.46 apply (zenon_L343_); trivial.
% 10.28/10.46 apply (zenon_L819_); trivial.
% 10.28/10.46 apply (zenon_L252_); trivial.
% 10.28/10.46 (* end of lemma zenon_L892_ *)
% 10.28/10.46 assert (zenon_L893_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (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) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e1) (e0)) = (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) (e3)) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e3))) -> (~((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) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> ((op (e1) (e3)) = (e3)) -> (~((e2) = (e3))) -> ((op (e2) (e2)) = (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 (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False).
% 10.28/10.46 do 0 intro. intros zenon_H200 zenon_H25 zenon_H22c zenon_H4c zenon_H10b zenon_Hb0 zenon_H181 zenon_H91 zenon_H12c zenon_Hc8 zenon_H17c zenon_H90 zenon_H1f8 zenon_H6f zenon_H155 zenon_H1e6 zenon_Hda zenon_H28 zenon_H198 zenon_Hf5 zenon_H1f0 zenon_H7e zenon_H56 zenon_H64 zenon_Hc1 zenon_H192 zenon_He8 zenon_H191 zenon_H128 zenon_H35 zenon_H188 zenon_H95 zenon_H3a zenon_H1fb zenon_H97 zenon_Hd3 zenon_H187 zenon_H108 zenon_H1cb zenon_H100 zenon_H5e zenon_Hb1 zenon_H53 zenon_Hed.
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.28/10.46 exact (zenon_H25 zenon_H2a).
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.28/10.46 exact (zenon_H22c zenon_H68).
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.28/10.46 apply (zenon_L358_); trivial.
% 10.28/10.46 apply (zenon_L359_); trivial.
% 10.28/10.46 (* end of lemma zenon_L893_ *)
% 10.28/10.46 assert (zenon_L894_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((e1) = (e2))) -> (~((e2) = (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) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (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 (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e2)) = (op (e3) (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) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (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) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (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))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> False).
% 10.28/10.46 do 0 intro. intros zenon_Hf8 zenon_H35 zenon_H95 zenon_H1fb zenon_H128 zenon_H1f8 zenon_H3a zenon_H155 zenon_H181 zenon_Hc8 zenon_H17c zenon_H12c zenon_H191 zenon_Hc1 zenon_H192 zenon_He8 zenon_H10b zenon_H187 zenon_H97 zenon_H108 zenon_H200 zenon_H56 zenon_Hda zenon_H1f0 zenon_H1e6 zenon_H100 zenon_Hf5 zenon_H53 zenon_H90 zenon_H1cb zenon_H7d zenon_H7e zenon_H86 zenon_H8d zenon_H8c zenon_H91 zenon_H5e zenon_H4c zenon_Hb1 zenon_Hd3 zenon_Hb0 zenon_H188 zenon_H198 zenon_H28 zenon_H6f zenon_H7a zenon_H64 zenon_H22c zenon_H25 zenon_H18d.
% 10.28/10.46 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.28/10.46 apply (zenon_L762_); trivial.
% 10.28/10.46 apply (zenon_L893_); trivial.
% 10.28/10.46 (* end of lemma zenon_L894_ *)
% 10.28/10.46 assert (zenon_L895_ : ((~((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)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e1))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((e1) = (e2))) -> (~((e2) = (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) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((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))))) -> (~((op (e0) (e2)) = (op (e3) (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) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((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))))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (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 (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> (~((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) (e3)))) -> (~((op (e0) (e0)) = (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))))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e0))) -> ((~((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) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> False).
% 10.28/10.46 do 0 intro. intros zenon_H168 zenon_Hae zenon_H159 zenon_H191 zenon_H188 zenon_H11d zenon_H192 zenon_H1af zenon_Hd2 zenon_Hf8 zenon_H35 zenon_H95 zenon_H1fb zenon_H128 zenon_H1f8 zenon_H3a zenon_H155 zenon_H181 zenon_H17c zenon_H12c zenon_H10b zenon_H187 zenon_H97 zenon_H108 zenon_H200 zenon_H56 zenon_Hda zenon_H1f0 zenon_H1e6 zenon_Hf5 zenon_H53 zenon_H90 zenon_H1cb zenon_H7d zenon_H7e zenon_H86 zenon_H8c zenon_H91 zenon_H5e zenon_H4c zenon_Hd3 zenon_Hb0 zenon_H198 zenon_H28 zenon_H6f zenon_H7a zenon_H64 zenon_H22c zenon_H25 zenon_H18d zenon_He7 zenon_Hde zenon_H44 zenon_H22d zenon_H1f zenon_H1b1 zenon_H150 zenon_Hc6 zenon_H156 zenon_H1ea.
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.28/10.46 apply (zenon_L297_); trivial.
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.28/10.46 apply (zenon_L894_); trivial.
% 10.28/10.46 apply (zenon_L767_); trivial.
% 10.28/10.46 apply (zenon_L354_); trivial.
% 10.28/10.46 apply (zenon_L321_); trivial.
% 10.28/10.46 apply (zenon_L373_); trivial.
% 10.28/10.46 apply (zenon_L314_); trivial.
% 10.28/10.46 (* end of lemma zenon_L895_ *)
% 10.28/10.46 assert (zenon_L896_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((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) (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)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (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) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((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)) = (op (e1) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e1))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((e1) = (e2))) -> (~((e2) = (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) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((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))))) -> (~((op (e0) (e2)) = (op (e3) (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) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((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))))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> (~((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) (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))))) -> (~((op (e0) (e1)) = (e0))) -> ((~((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) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e0)) = (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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 10.28/10.46 do 0 intro. intros zenon_H173 zenon_H67 zenon_Hab zenon_H112 zenon_H18a zenon_H1e2 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H58 zenon_Hce zenon_Hdd zenon_H1b7 zenon_Hec zenon_He3 zenon_H1b4 zenon_H1dd zenon_H42 zenon_H103 zenon_Hc5 zenon_H158 zenon_H174 zenon_H168 zenon_Hae zenon_H159 zenon_H191 zenon_H11d zenon_H192 zenon_H1af zenon_Hd2 zenon_Hf8 zenon_H35 zenon_H95 zenon_H1fb zenon_H128 zenon_H1f8 zenon_H155 zenon_H181 zenon_H17c zenon_H12c zenon_H10b zenon_H187 zenon_H97 zenon_H108 zenon_H200 zenon_Hda zenon_H1f0 zenon_H1e6 zenon_Hf5 zenon_H53 zenon_H90 zenon_H1cb zenon_H7d zenon_H7e zenon_H8c zenon_H91 zenon_H5e zenon_H4c zenon_Hd3 zenon_Hb0 zenon_H198 zenon_H6f zenon_H7a zenon_H64 zenon_H22c zenon_H18d zenon_He7 zenon_Hde zenon_H44 zenon_H22d zenon_H1f zenon_H1b1 zenon_H150 zenon_Hc6 zenon_H156 zenon_H1ea zenon_H4a zenon_H132 zenon_H3c zenon_H144 zenon_H145 zenon_H12f zenon_H204 zenon_H188 zenon_H86.
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.28/10.46 apply (zenon_L322_); trivial.
% 10.28/10.46 exact (zenon_H22c zenon_H68).
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.28/10.46 exact (zenon_H192 zenon_H1d).
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.28/10.46 apply (zenon_L895_); trivial.
% 10.28/10.46 apply (zenon_L375_); trivial.
% 10.28/10.46 exact (zenon_H22c zenon_H68).
% 10.28/10.46 apply (zenon_L315_); trivial.
% 10.28/10.46 apply (zenon_L252_); trivial.
% 10.28/10.46 (* end of lemma zenon_L896_ *)
% 10.28/10.46 assert (zenon_L897_ : (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (((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) (e0)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (~((e1) = (e3))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e0))) -> (~((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)) = (op (e0) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (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))))) -> (~((e2) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> (~((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) (e3)))) -> (~((op (e1) (e1)) = (e1))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (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) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (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 (e2) (e2)) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> False).
% 10.28/10.46 do 0 intro. intros zenon_H25 zenon_H22c zenon_H64 zenon_H7a zenon_H6f zenon_H28 zenon_H198 zenon_H188 zenon_Hb0 zenon_Hd3 zenon_Hb1 zenon_H4c zenon_H5e zenon_H91 zenon_H8c zenon_H8d zenon_H86 zenon_H7d zenon_H1cb zenon_H90 zenon_H53 zenon_Hf5 zenon_H100 zenon_H1e6 zenon_H1f0 zenon_Hda zenon_H56 zenon_H168 zenon_Hae zenon_H95 zenon_H155 zenon_H35 zenon_H159 zenon_H191 zenon_H11d zenon_H192 zenon_H156 zenon_H3a zenon_Hc6 zenon_Hf8 zenon_H108 zenon_H18d zenon_H1b0 zenon_H151 zenon_H1ea zenon_H200 zenon_H97 zenon_H187 zenon_H10b zenon_He8 zenon_Hc1 zenon_H12c zenon_H17c zenon_Hc8 zenon_H181 zenon_H1f8 zenon_H128 zenon_H1fb.
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.28/10.46 exact (zenon_H25 zenon_H2a).
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.28/10.46 exact (zenon_H22c zenon_H68).
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.28/10.46 apply (zenon_L344_); trivial.
% 10.28/10.46 apply (zenon_L817_); trivial.
% 10.28/10.46 apply (zenon_L252_); trivial.
% 10.28/10.46 apply (zenon_L893_); trivial.
% 10.28/10.46 exact (zenon_H1b0 zenon_Hbd).
% 10.28/10.46 (* end of lemma zenon_L897_ *)
% 10.28/10.46 assert (zenon_L898_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> (~((op (e0) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (~((e1) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((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))))) -> False).
% 10.28/10.46 do 0 intro. intros zenon_H151 zenon_H1b0 zenon_H22c zenon_He8 zenon_H1b1 zenon_H191 zenon_Hc1 zenon_H1f zenon_H22d zenon_H44 zenon_H35 zenon_Hde zenon_H5e zenon_H192 zenon_H4c zenon_Hbc zenon_H1f0 zenon_H1e6 zenon_H100 zenon_Hf5 zenon_He7.
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.28/10.46 apply (zenon_L767_); trivial.
% 10.28/10.46 exact (zenon_H1b0 zenon_Hbd).
% 10.28/10.46 (* end of lemma zenon_L898_ *)
% 10.28/10.46 assert (zenon_L899_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e1))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> (((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) (e0)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e3))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((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)) = (op (e0) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e0) = (e3))) -> (((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) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (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))))) -> (~((e2) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e3) (e1)) = (e3))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (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) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/((op (e3) (e1)) = (e1))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> False).
% 10.28/10.46 do 0 intro. intros zenon_H191 zenon_H188 zenon_H11d zenon_H192 zenon_H1af zenon_Hd2 zenon_H25 zenon_H22c zenon_H64 zenon_H7a zenon_H6f zenon_H28 zenon_H198 zenon_Hb0 zenon_Hd3 zenon_H4c zenon_H5e zenon_H91 zenon_H8c zenon_H86 zenon_H7d zenon_H1cb zenon_H90 zenon_H53 zenon_Hf5 zenon_H1e6 zenon_H1f0 zenon_Hda zenon_H56 zenon_H168 zenon_Hae zenon_H95 zenon_H155 zenon_H35 zenon_H159 zenon_H156 zenon_H3a zenon_Hc6 zenon_Hf8 zenon_H108 zenon_H18d zenon_H1b0 zenon_H151 zenon_H1ea zenon_H200 zenon_H97 zenon_H187 zenon_H10b zenon_H12c zenon_H17c zenon_H181 zenon_H1f8 zenon_H128 zenon_H1fb zenon_H1b1 zenon_H1f zenon_H22d zenon_H44 zenon_Hde zenon_He7 zenon_H150.
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.28/10.46 apply (zenon_L297_); trivial.
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.28/10.46 apply (zenon_L897_); trivial.
% 10.28/10.46 apply (zenon_L898_); trivial.
% 10.28/10.46 apply (zenon_L354_); trivial.
% 10.28/10.46 apply (zenon_L321_); trivial.
% 10.28/10.46 apply (zenon_L373_); trivial.
% 10.28/10.46 apply (zenon_L314_); trivial.
% 10.28/10.46 (* end of lemma zenon_L899_ *)
% 10.28/10.46 assert (zenon_L900_ : ((~((op (e2) (e2)) = (e1)))\/(~((op (e2) (e1)) = (e2)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((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) (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) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/((op (e0) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((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 (e1) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((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)) = (op (e0) (e3)))) -> (((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 (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 (e0) (e1)) = (op (e2) (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 (e3) (e1)) = (op (e3) (e2)))) -> (~((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) (e3)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (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) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (e1))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (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) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((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)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e0) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((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 (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e1)) = (e0))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (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)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((~((op (e3) (e3)) = (e1)))\/(~((op (e3) (e1)) = (e3)))) -> False).
% 10.28/10.46 do 0 intro. intros zenon_H22a zenon_H157 zenon_H173 zenon_H1af zenon_H1fb zenon_H1f8 zenon_H200 zenon_H1f0 zenon_H1e6 zenon_Hf5 zenon_He7 zenon_H44 zenon_H22d zenon_H1f zenon_H204 zenon_H67 zenon_Hab zenon_Hde zenon_H112 zenon_Hc6 zenon_H18a zenon_H1e2 zenon_H17c zenon_H64 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H90 zenon_H58 zenon_H128 zenon_Hce zenon_Hdd zenon_H7a zenon_H1b7 zenon_H8c zenon_Hd3 zenon_Hb0 zenon_H12c zenon_Hec zenon_H159 zenon_H1cb zenon_H1b1 zenon_He3 zenon_H150 zenon_H168 zenon_Hae zenon_H191 zenon_H188 zenon_H11d zenon_H192 zenon_H156 zenon_H1b4 zenon_H198 zenon_H1dd zenon_Hda zenon_Hd2 zenon_H42 zenon_H181 zenon_H132 zenon_H103 zenon_H4c zenon_H35 zenon_H95 zenon_H10b zenon_H187 zenon_H97 zenon_H18d zenon_H12f zenon_H5e zenon_H7d zenon_H86 zenon_H145 zenon_H108 zenon_H53 zenon_H155 zenon_H3c zenon_Hc5 zenon_Hf8 zenon_H6f zenon_H144 zenon_H158 zenon_H1ea zenon_H4a zenon_H22c zenon_H174 zenon_H151 zenon_H16b zenon_H114 zenon_Hc0 zenon_H22b.
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H91 | zenon_intro zenon_H1ae ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H7e | zenon_intro zenon_H1b0 ].
% 10.28/10.46 apply (zenon_L896_); trivial.
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.28/10.46 apply (zenon_L816_); trivial.
% 10.28/10.46 exact (zenon_H22c zenon_H68).
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.28/10.46 exact (zenon_H192 zenon_H1d).
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.28/10.46 apply (zenon_L899_); trivial.
% 10.28/10.46 apply (zenon_L817_); trivial.
% 10.28/10.46 exact (zenon_H22c zenon_H68).
% 10.28/10.46 apply (zenon_L819_); trivial.
% 10.28/10.46 apply (zenon_L252_); trivial.
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H7e | zenon_intro zenon_H1b0 ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.28/10.46 apply (zenon_L714_); trivial.
% 10.28/10.46 exact (zenon_H22c zenon_H68).
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.28/10.46 exact (zenon_H192 zenon_H1d).
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.28/10.46 apply (zenon_L297_); trivial.
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.28/10.46 apply (zenon_L894_); trivial.
% 10.28/10.46 apply (zenon_L773_); trivial.
% 10.28/10.46 apply (zenon_L354_); trivial.
% 10.28/10.46 exact (zenon_H1ae zenon_Hb8).
% 10.28/10.46 apply (zenon_L321_); trivial.
% 10.28/10.46 apply (zenon_L373_); trivial.
% 10.28/10.46 apply (zenon_L314_); trivial.
% 10.28/10.46 apply (zenon_L375_); trivial.
% 10.28/10.46 exact (zenon_H22c zenon_H68).
% 10.28/10.46 apply (zenon_L315_); trivial.
% 10.28/10.46 apply (zenon_L252_); trivial.
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.28/10.46 apply (zenon_L885_); trivial.
% 10.28/10.46 exact (zenon_H22c zenon_H68).
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.28/10.46 exact (zenon_H192 zenon_H1d).
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.28/10.46 apply (zenon_L297_); trivial.
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.28/10.46 apply (zenon_L897_); trivial.
% 10.28/10.46 apply (zenon_L774_); trivial.
% 10.28/10.46 apply (zenon_L354_); trivial.
% 10.28/10.46 exact (zenon_H1ae zenon_Hb8).
% 10.28/10.46 apply (zenon_L321_); trivial.
% 10.28/10.46 apply (zenon_L373_); trivial.
% 10.28/10.46 apply (zenon_L810_); trivial.
% 10.28/10.46 apply (zenon_L817_); trivial.
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.28/10.46 apply (zenon_L297_); trivial.
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.28/10.46 apply (zenon_L818_); trivial.
% 10.28/10.46 apply (zenon_L774_); trivial.
% 10.28/10.46 apply (zenon_L354_); trivial.
% 10.28/10.46 exact (zenon_H1ae zenon_Hb8).
% 10.28/10.46 apply (zenon_L321_); trivial.
% 10.28/10.46 apply (zenon_L373_); trivial.
% 10.28/10.46 apply (zenon_L725_); trivial.
% 10.28/10.46 apply (zenon_L343_); trivial.
% 10.28/10.46 exact (zenon_H22c zenon_H68).
% 10.28/10.46 apply (zenon_L819_); trivial.
% 10.28/10.46 apply (zenon_L252_); trivial.
% 10.28/10.46 (* end of lemma zenon_L900_ *)
% 10.28/10.46 assert (zenon_L901_ : ((op (e2) (e3)) = (e3)) -> ((op (e2) (e2)) = (e3)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> False).
% 10.28/10.46 do 0 intro. intros zenon_H11f zenon_Hcd zenon_H1fb.
% 10.28/10.46 elim (classic ((op (e2) (e3)) = (op (e2) (e3)))); [ zenon_intro zenon_H17d | zenon_intro zenon_H17e ].
% 10.28/10.46 cut (((op (e2) (e3)) = (op (e2) (e3))) = ((op (e2) (e2)) = (op (e2) (e3)))).
% 10.28/10.46 intro zenon_D_pnotp.
% 10.28/10.46 apply zenon_H1fb.
% 10.28/10.46 rewrite <- zenon_D_pnotp.
% 10.28/10.46 exact zenon_H17d.
% 10.28/10.46 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H17e].
% 10.28/10.46 cut (((op (e2) (e3)) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H231].
% 10.28/10.46 congruence.
% 10.28/10.46 cut (((op (e2) (e3)) = (e3)) = ((op (e2) (e3)) = (op (e2) (e2)))).
% 10.28/10.46 intro zenon_D_pnotp.
% 10.28/10.46 apply zenon_H231.
% 10.28/10.46 rewrite <- zenon_D_pnotp.
% 10.28/10.46 exact zenon_H11f.
% 10.28/10.46 cut (((e3) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H20d].
% 10.28/10.46 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H17e].
% 10.28/10.46 congruence.
% 10.28/10.46 apply zenon_H17e. apply refl_equal.
% 10.28/10.46 apply zenon_H20d. apply sym_equal. exact zenon_Hcd.
% 10.28/10.46 apply zenon_H17e. apply refl_equal.
% 10.28/10.46 apply zenon_H17e. apply refl_equal.
% 10.28/10.46 (* end of lemma zenon_L901_ *)
% 10.28/10.46 assert (zenon_L902_ : (((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) (e3)) = (e3)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> False).
% 10.28/10.46 do 0 intro. intros zenon_Hc5 zenon_Hb1 zenon_H91 zenon_Hc7 zenon_H11f zenon_H1fb.
% 10.28/10.46 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ].
% 10.28/10.46 exact (zenon_Hb1 zenon_Hb7).
% 10.28/10.46 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H94 | zenon_intro zenon_Hcc ].
% 10.28/10.46 exact (zenon_H91 zenon_H94).
% 10.28/10.46 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H3a | zenon_intro zenon_Hcd ].
% 10.28/10.46 exact (zenon_Hc7 zenon_H3a).
% 10.28/10.46 apply (zenon_L901_); trivial.
% 10.28/10.46 (* end of lemma zenon_L902_ *)
% 10.28/10.46 assert (zenon_L903_ : ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> False).
% 10.28/10.46 do 0 intro. intros zenon_H157 zenon_H1ba zenon_H2a zenon_H44 zenon_H53 zenon_Hb0 zenon_Hb1 zenon_Hc7 zenon_H1fb zenon_H11f zenon_Hc5.
% 10.28/10.46 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.46 apply (zenon_L902_); trivial.
% 10.28/10.46 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hb5 ].
% 10.28/10.46 apply (zenon_L216_); trivial.
% 10.28/10.46 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H78 | zenon_intro zenon_Hb6 ].
% 10.28/10.46 apply (zenon_L57_); trivial.
% 10.28/10.46 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H89 ].
% 10.28/10.46 exact (zenon_Hb1 zenon_Hb7).
% 10.28/10.46 apply (zenon_L96_); trivial.
% 10.28/10.46 (* end of lemma zenon_L903_ *)
% 10.28/10.46 assert (zenon_L904_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e1) (e2)) = (e0)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> False).
% 10.28/10.46 do 0 intro. intros zenon_Hc5 zenon_H101 zenon_H155 zenon_H91 zenon_Hc7 zenon_H11f zenon_H1fb.
% 10.28/10.46 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ].
% 10.28/10.47 apply (zenon_L117_); trivial.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H94 | zenon_intro zenon_Hcc ].
% 10.28/10.47 exact (zenon_H91 zenon_H94).
% 10.28/10.47 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H3a | zenon_intro zenon_Hcd ].
% 10.28/10.47 exact (zenon_Hc7 zenon_H3a).
% 10.28/10.47 apply (zenon_L901_); trivial.
% 10.28/10.47 (* end of lemma zenon_L904_ *)
% 10.28/10.47 assert (zenon_L905_ : ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> False).
% 10.28/10.47 do 0 intro. intros zenon_H18d zenon_H205 zenon_H12f zenon_H2a zenon_He8 zenon_Hc5 zenon_H11f zenon_H1fb zenon_Hc7 zenon_H91 zenon_H155 zenon_H128 zenon_H95 zenon_H44 zenon_H8d zenon_H7f zenon_H7d zenon_H145.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H69 | zenon_intro zenon_H146 ].
% 10.28/10.47 apply (zenon_L100_); trivial.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Heb | zenon_intro zenon_H147 ].
% 10.28/10.47 exact (zenon_He8 zenon_Heb).
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H101 | zenon_intro zenon_H87 ].
% 10.28/10.47 apply (zenon_L904_); trivial.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H47 | zenon_intro zenon_H129 ].
% 10.28/10.47 apply (zenon_L338_); trivial.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H9b | zenon_intro zenon_H12a ].
% 10.28/10.47 apply (zenon_L92_); trivial.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H85 ].
% 10.28/10.47 apply (zenon_L93_); trivial.
% 10.28/10.47 exact (zenon_H7f zenon_H85).
% 10.28/10.47 apply (zenon_L385_); trivial.
% 10.28/10.47 (* end of lemma zenon_L905_ *)
% 10.28/10.47 assert (zenon_L906_ : ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((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))))) -> False).
% 10.28/10.47 do 0 intro. intros zenon_H18d zenon_H11f zenon_H205 zenon_H12f zenon_H2a zenon_He8 zenon_Hc5 zenon_Hc8 zenon_Hc7 zenon_H91 zenon_H155 zenon_H7d zenon_H7f zenon_H7e zenon_H86 zenon_H145.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.28/10.47 apply (zenon_L119_); trivial.
% 10.28/10.47 apply (zenon_L385_); trivial.
% 10.28/10.47 (* end of lemma zenon_L906_ *)
% 10.28/10.47 assert (zenon_L907_ : ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> False).
% 10.28/10.47 do 0 intro. intros zenon_H156 zenon_Hd2 zenon_H18d zenon_H205 zenon_H12f zenon_He8 zenon_H155 zenon_H128 zenon_H95 zenon_H7f zenon_H7d zenon_H145 zenon_H151 zenon_Hbb zenon_H86 zenon_H150 zenon_H112 zenon_Hc5 zenon_H11f zenon_H1fb zenon_Hc7 zenon_Hb0 zenon_H53 zenon_H44 zenon_H2a zenon_H1ba zenon_H157.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.47 apply (zenon_L903_); trivial.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.47 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.28/10.47 apply (zenon_L905_); trivial.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.28/10.47 apply (zenon_L906_); trivial.
% 10.28/10.47 apply (zenon_L41_); trivial.
% 10.28/10.47 apply (zenon_L93_); trivial.
% 10.28/10.47 apply (zenon_L79_); trivial.
% 10.28/10.47 (* end of lemma zenon_L907_ *)
% 10.28/10.47 assert (zenon_L908_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e3)) = (e0)) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 10.28/10.47 do 0 intro. intros zenon_Hab zenon_H7f zenon_H95 zenon_H7b zenon_H35 zenon_H128 zenon_H15a zenon_H198 zenon_H11f zenon_H4c zenon_H7e.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H62 | zenon_intro zenon_Hac ].
% 10.28/10.47 apply (zenon_L261_); trivial.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H9a | zenon_intro zenon_Had ].
% 10.28/10.47 apply (zenon_L194_); trivial.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H8a | zenon_intro zenon_H83 ].
% 10.28/10.47 apply (zenon_L89_); trivial.
% 10.28/10.47 exact (zenon_H7e zenon_H83).
% 10.28/10.47 (* end of lemma zenon_L908_ *)
% 10.28/10.47 assert (zenon_L909_ : ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e3))) -> ((op (e2) (e3)) = (e3)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((e1) = (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))))) -> False).
% 10.28/10.47 do 0 intro. intros zenon_H18d zenon_H205 zenon_H58 zenon_H2a zenon_H7d zenon_H7f zenon_H7e zenon_H86 zenon_H53 zenon_H11f zenon_Hab zenon_H4c zenon_H15a zenon_H198 zenon_H35 zenon_H95 zenon_H128 zenon_H8c.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H43 | zenon_intro zenon_H8e ].
% 10.28/10.47 apply (zenon_L213_); trivial.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H87 | zenon_intro zenon_H8f ].
% 10.28/10.47 apply (zenon_L26_); trivial.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H7b ].
% 10.28/10.47 apply (zenon_L96_); trivial.
% 10.28/10.47 apply (zenon_L908_); trivial.
% 10.28/10.47 apply (zenon_L385_); trivial.
% 10.28/10.47 (* end of lemma zenon_L909_ *)
% 10.28/10.47 assert (zenon_L910_ : ((op (e2) (e3)) = (e3)) -> ((op (e2) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> False).
% 10.28/10.47 do 0 intro. intros zenon_H11f zenon_H74 zenon_Hce.
% 10.28/10.47 elim (classic ((op (e2) (e3)) = (op (e2) (e3)))); [ zenon_intro zenon_H17d | zenon_intro zenon_H17e ].
% 10.28/10.47 cut (((op (e2) (e3)) = (op (e2) (e3))) = ((op (e2) (e0)) = (op (e2) (e3)))).
% 10.28/10.47 intro zenon_D_pnotp.
% 10.28/10.47 apply zenon_Hce.
% 10.28/10.47 rewrite <- zenon_D_pnotp.
% 10.28/10.47 exact zenon_H17d.
% 10.28/10.47 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H17e].
% 10.28/10.47 cut (((op (e2) (e3)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H232].
% 10.28/10.47 congruence.
% 10.28/10.47 cut (((op (e2) (e3)) = (e3)) = ((op (e2) (e3)) = (op (e2) (e0)))).
% 10.28/10.47 intro zenon_D_pnotp.
% 10.28/10.47 apply zenon_H232.
% 10.28/10.47 rewrite <- zenon_D_pnotp.
% 10.28/10.47 exact zenon_H11f.
% 10.28/10.47 cut (((e3) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1c2].
% 10.28/10.47 cut (((op (e2) (e3)) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H17e].
% 10.28/10.47 congruence.
% 10.28/10.47 apply zenon_H17e. apply refl_equal.
% 10.28/10.47 apply zenon_H1c2. apply sym_equal. exact zenon_H74.
% 10.28/10.47 apply zenon_H17e. apply refl_equal.
% 10.28/10.47 apply zenon_H17e. apply refl_equal.
% 10.28/10.47 (* end of lemma zenon_L910_ *)
% 10.28/10.47 assert (zenon_L911_ : (((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) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> False).
% 10.28/10.47 do 0 intro. intros zenon_Hda zenon_H28 zenon_H4c zenon_H15a zenon_Hce zenon_H11f zenon_Hbb zenon_Hbd.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdb ].
% 10.28/10.47 exact (zenon_H28 zenon_H31).
% 10.28/10.47 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H6c | zenon_intro zenon_Hdc ].
% 10.28/10.47 apply (zenon_L236_); trivial.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H74 | zenon_intro zenon_Hbc ].
% 10.28/10.47 apply (zenon_L910_); trivial.
% 10.28/10.47 apply (zenon_L41_); trivial.
% 10.28/10.47 (* end of lemma zenon_L911_ *)
% 10.28/10.47 assert (zenon_L912_ : ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (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) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((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) (e0)) = (op (e0) (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> False).
% 10.28/10.47 do 0 intro. intros zenon_H4a zenon_H156 zenon_Hd2 zenon_H18d zenon_H205 zenon_H12f zenon_H155 zenon_H128 zenon_H95 zenon_H7f zenon_H7d zenon_H145 zenon_H151 zenon_Hbb zenon_H86 zenon_H150 zenon_H112 zenon_Hc5 zenon_H11f zenon_H1fb zenon_Hc7 zenon_Hb0 zenon_H53 zenon_H44 zenon_H2a zenon_H1ba zenon_H157 zenon_Hce zenon_Hda zenon_H8c zenon_H35 zenon_H198 zenon_H4c zenon_Hab zenon_H58 zenon_H168.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.28/10.47 apply (zenon_L907_); trivial.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.28/10.47 apply (zenon_L909_); trivial.
% 10.28/10.47 apply (zenon_L911_); trivial.
% 10.28/10.47 apply (zenon_L213_); trivial.
% 10.28/10.47 (* end of lemma zenon_L912_ *)
% 10.28/10.47 assert (zenon_L913_ : ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> False).
% 10.28/10.47 do 0 intro. intros zenon_H18d zenon_H11f zenon_H205 zenon_H56 zenon_H1f zenon_H1d zenon_Hc5 zenon_Hc8 zenon_Hc7 zenon_H3c zenon_Hb1 zenon_H7d zenon_H7f zenon_H7a zenon_H8d zenon_H64.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.28/10.47 exact (zenon_H56 zenon_H2c).
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.28/10.47 apply (zenon_L1_); trivial.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.28/10.47 apply (zenon_L103_); trivial.
% 10.28/10.47 apply (zenon_L87_); trivial.
% 10.28/10.47 apply (zenon_L385_); trivial.
% 10.28/10.47 (* end of lemma zenon_L913_ *)
% 10.28/10.47 assert (zenon_L914_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e3)) -> False).
% 10.28/10.47 do 0 intro. intros zenon_Hc0 zenon_H53 zenon_H68 zenon_Hc1 zenon_H184 zenon_H11f zenon_Hbb zenon_Hbc.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H4b | zenon_intro zenon_Hc2 ].
% 10.28/10.47 apply (zenon_L30_); trivial.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc3 ].
% 10.28/10.47 exact (zenon_Hc1 zenon_Hc4).
% 10.28/10.47 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hbd ].
% 10.28/10.47 apply (zenon_L549_); trivial.
% 10.28/10.47 apply (zenon_L41_); trivial.
% 10.28/10.47 (* end of lemma zenon_L914_ *)
% 10.28/10.47 assert (zenon_L915_ : ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((e1) = (e3))) -> ((op (e2) (e3)) = (e3)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> False).
% 10.28/10.47 do 0 intro. intros zenon_H157 zenon_H112 zenon_H35 zenon_Hcf zenon_H110 zenon_H1d zenon_H4c zenon_H11f zenon_H90.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H76 | zenon_intro zenon_H92 ].
% 10.28/10.47 apply (zenon_L47_); trivial.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H77 | zenon_intro zenon_H93 ].
% 10.28/10.47 apply (zenon_L78_); trivial.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H94 | zenon_intro zenon_H8a ].
% 10.28/10.47 exact (zenon_H91 zenon_H94).
% 10.28/10.47 apply (zenon_L89_); trivial.
% 10.28/10.47 apply (zenon_L79_); trivial.
% 10.28/10.47 (* end of lemma zenon_L915_ *)
% 10.28/10.47 assert (zenon_L916_ : ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((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))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e3)) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((e2) = (e3))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> False).
% 10.28/10.47 do 0 intro. intros zenon_H156 zenon_H90 zenon_H4c zenon_H110 zenon_H35 zenon_H112 zenon_H157 zenon_H150 zenon_H43 zenon_Hbb zenon_H151 zenon_H64 zenon_H7a zenon_H7f zenon_H7d zenon_H3c zenon_Hc7 zenon_Hc5 zenon_H1d zenon_H1f zenon_H56 zenon_H205 zenon_H11f zenon_H18d zenon_H95 zenon_Hd2.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.47 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.28/10.47 apply (zenon_L913_); trivial.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.28/10.47 apply (zenon_L783_); trivial.
% 10.28/10.47 apply (zenon_L41_); trivial.
% 10.28/10.47 apply (zenon_L93_); trivial.
% 10.28/10.47 apply (zenon_L915_); trivial.
% 10.28/10.47 (* end of lemma zenon_L916_ *)
% 10.28/10.47 assert (zenon_L917_ : ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e3)) = (e3)) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (~((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) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> False).
% 10.28/10.47 do 0 intro. intros zenon_H18d zenon_H205 zenon_H11b zenon_H68 zenon_Hab zenon_H44 zenon_H95 zenon_H128 zenon_H11f zenon_H4c zenon_H1d zenon_H11d zenon_H8d zenon_H7a zenon_H7f zenon_H7d zenon_H53 zenon_H8c.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.28/10.47 apply (zenon_L97_); trivial.
% 10.28/10.47 apply (zenon_L385_); trivial.
% 10.28/10.47 (* end of lemma zenon_L917_ *)
% 10.28/10.47 assert (zenon_L918_ : ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e3)) = (e3)) -> (~((e1) = (e3))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (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) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> False).
% 10.28/10.47 do 0 intro. intros zenon_H1af zenon_H18d zenon_H205 zenon_H11b zenon_H68 zenon_Hab zenon_H44 zenon_H95 zenon_H128 zenon_H11f zenon_H4c zenon_H1d zenon_H11d zenon_H7a zenon_H7f zenon_H7d zenon_H53 zenon_H8c zenon_Hc0 zenon_Hbb zenon_H184 zenon_H150.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.28/10.47 apply (zenon_L917_); trivial.
% 10.28/10.47 apply (zenon_L914_); trivial.
% 10.28/10.47 apply (zenon_L88_); trivial.
% 10.28/10.47 (* end of lemma zenon_L918_ *)
% 10.28/10.47 assert (zenon_L919_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> False).
% 10.28/10.47 do 0 intro. intros zenon_H233 zenon_H2a zenon_H12f zenon_H195 zenon_H1d zenon_H1bc zenon_Hcf zenon_Hbc zenon_H16f.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H69 | zenon_intro zenon_H234 ].
% 10.28/10.47 apply (zenon_L100_); trivial.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H15a | zenon_intro zenon_H235 ].
% 10.28/10.47 apply (zenon_L325_); trivial.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H6a | zenon_intro zenon_H6c ].
% 10.28/10.47 apply (zenon_L218_); trivial.
% 10.28/10.47 apply (zenon_L154_); trivial.
% 10.28/10.47 (* end of lemma zenon_L919_ *)
% 10.28/10.47 assert (zenon_L920_ : ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> False).
% 10.28/10.47 do 0 intro. intros zenon_H156 zenon_H150 zenon_H195 zenon_H1d zenon_H1bc zenon_H16f zenon_H233 zenon_H145 zenon_H7d zenon_H7f zenon_H95 zenon_H128 zenon_H155 zenon_He8 zenon_H12f zenon_H205 zenon_H18d zenon_H112 zenon_Hc5 zenon_H11f zenon_H1fb zenon_Hc7 zenon_Hb0 zenon_H53 zenon_H44 zenon_H2a zenon_H1ba zenon_H157.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.47 apply (zenon_L903_); trivial.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.28/10.47 apply (zenon_L905_); trivial.
% 10.28/10.47 apply (zenon_L919_); trivial.
% 10.28/10.47 apply (zenon_L79_); trivial.
% 10.28/10.47 (* end of lemma zenon_L920_ *)
% 10.28/10.47 assert (zenon_L921_ : ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (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) (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> False).
% 10.28/10.47 do 0 intro. intros zenon_H168 zenon_H157 zenon_H1ba zenon_H2a zenon_H44 zenon_H53 zenon_Hb0 zenon_Hc7 zenon_H1fb zenon_H11f zenon_Hc5 zenon_H112 zenon_H18d zenon_H205 zenon_H12f zenon_H155 zenon_H128 zenon_H95 zenon_H7f zenon_H7d zenon_H145 zenon_H233 zenon_H16f zenon_H1bc zenon_H1d zenon_H195 zenon_H150 zenon_H156.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.28/10.47 apply (zenon_L920_); trivial.
% 10.28/10.47 apply (zenon_L325_); trivial.
% 10.28/10.47 (* end of lemma zenon_L921_ *)
% 10.28/10.47 assert (zenon_L922_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (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) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e0) (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) (e1)) = (op (e2) (e3)))) -> (~((e0) = (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))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((e1) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((e2) = (e3))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e1) (e3)) = (op (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))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e3)) -> False).
% 10.28/10.47 do 0 intro. intros zenon_H173 zenon_H58 zenon_H198 zenon_Hda zenon_Hce zenon_H4a zenon_H174 zenon_H44 zenon_Hab zenon_H11b zenon_Hc0 zenon_Hbb zenon_H184 zenon_H53 zenon_H156 zenon_H90 zenon_H4c zenon_H110 zenon_H35 zenon_H112 zenon_H157 zenon_H150 zenon_H151 zenon_H95 zenon_Hd2 zenon_H86 zenon_H128 zenon_H8c zenon_H5e zenon_H200 zenon_H64 zenon_H7a zenon_H7f zenon_H7d zenon_H3c zenon_Hc5 zenon_H1f zenon_H18d zenon_H11d zenon_H1af zenon_H168 zenon_H1ba zenon_Hb0 zenon_H1fb zenon_H12f zenon_H155 zenon_H145 zenon_H233 zenon_H16f zenon_H1bc zenon_H195 zenon_H204 zenon_Hc7 zenon_H205 zenon_H11f.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.28/10.47 apply (zenon_L912_); trivial.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.47 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.28/10.47 apply (zenon_L913_); trivial.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.28/10.47 exact (zenon_H25 zenon_H2a).
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.28/10.47 apply (zenon_L914_); trivial.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.28/10.47 exact (zenon_H56 zenon_H2c).
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.28/10.47 apply (zenon_L1_); trivial.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.28/10.47 apply (zenon_L12_); trivial.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H43 | zenon_intro zenon_H8e ].
% 10.28/10.47 apply (zenon_L916_); trivial.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H87 | zenon_intro zenon_H8f ].
% 10.28/10.47 apply (zenon_L26_); trivial.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H7b ].
% 10.28/10.47 apply (zenon_L96_); trivial.
% 10.28/10.47 apply (zenon_L261_); trivial.
% 10.28/10.47 apply (zenon_L24_); trivial.
% 10.28/10.47 apply (zenon_L385_); trivial.
% 10.28/10.47 apply (zenon_L41_); trivial.
% 10.28/10.47 apply (zenon_L93_); trivial.
% 10.28/10.47 apply (zenon_L915_); trivial.
% 10.28/10.47 apply (zenon_L88_); trivial.
% 10.28/10.47 apply (zenon_L918_); trivial.
% 10.28/10.47 apply (zenon_L921_); trivial.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.28/10.47 exact (zenon_Hc7 zenon_H3a).
% 10.28/10.47 apply (zenon_L385_); trivial.
% 10.28/10.47 (* end of lemma zenon_L922_ *)
% 10.28/10.47 assert (zenon_L923_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e3) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.28/10.47 do 0 intro. intros zenon_H151 zenon_Hbc zenon_Hbb zenon_H18d zenon_H11f zenon_H205 zenon_H12f zenon_H2a zenon_He8 zenon_Hc5 zenon_Hc8 zenon_Hc7 zenon_H91 zenon_H155 zenon_H7d zenon_H86 zenon_H145 zenon_H143 zenon_Hf8.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.28/10.47 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.28/10.47 apply (zenon_L906_); trivial.
% 10.28/10.47 exact (zenon_H143 zenon_Hed).
% 10.28/10.47 apply (zenon_L41_); trivial.
% 10.28/10.47 (* end of lemma zenon_L923_ *)
% 10.28/10.47 assert (zenon_L924_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e2)) = (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))))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e3)) = (e3)) -> (~((e0) = (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 (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> False).
% 10.28/10.47 do 0 intro. intros zenon_Hf8 zenon_H143 zenon_H8c zenon_H128 zenon_H95 zenon_H35 zenon_H198 zenon_H15a zenon_H4c zenon_Hab zenon_H11f zenon_H53 zenon_H86 zenon_H7e zenon_H7d zenon_H2a zenon_H58 zenon_H205 zenon_H18d.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.28/10.47 apply (zenon_L909_); trivial.
% 10.28/10.47 exact (zenon_H143 zenon_Hed).
% 10.28/10.47 (* end of lemma zenon_L924_ *)
% 10.28/10.47 assert (zenon_L925_ : ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (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)) = (op (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)))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> False).
% 10.28/10.47 do 0 intro. intros zenon_H4a zenon_H156 zenon_Hd2 zenon_Hf8 zenon_H143 zenon_H145 zenon_H7d zenon_H95 zenon_H128 zenon_H155 zenon_H12f zenon_H205 zenon_H18d zenon_H151 zenon_Hbb zenon_H86 zenon_H150 zenon_H112 zenon_Hc5 zenon_H11f zenon_H1fb zenon_Hc7 zenon_Hb0 zenon_H53 zenon_H44 zenon_H2a zenon_H1ba zenon_H157 zenon_Hce zenon_Hda zenon_H58 zenon_Hab zenon_H4c zenon_H198 zenon_H35 zenon_H8c zenon_H168.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.47 apply (zenon_L903_); trivial.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.47 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.28/10.47 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.28/10.47 apply (zenon_L905_); trivial.
% 10.28/10.47 exact (zenon_H143 zenon_Hed).
% 10.28/10.47 apply (zenon_L923_); trivial.
% 10.28/10.47 apply (zenon_L93_); trivial.
% 10.28/10.47 apply (zenon_L79_); trivial.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.28/10.47 apply (zenon_L924_); trivial.
% 10.28/10.47 apply (zenon_L911_); trivial.
% 10.28/10.47 apply (zenon_L213_); trivial.
% 10.28/10.47 (* end of lemma zenon_L925_ *)
% 10.28/10.47 assert (zenon_L926_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((op (e2) (e3)) = (e3)) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> False).
% 10.28/10.47 do 0 intro. intros zenon_Hf8 zenon_H143 zenon_H64 zenon_H8d zenon_H7a zenon_H7d zenon_Hb1 zenon_H3c zenon_Hc7 zenon_Hc8 zenon_Hc5 zenon_H1d zenon_H1f zenon_H56 zenon_H205 zenon_H11f zenon_H18d.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.28/10.47 apply (zenon_L913_); trivial.
% 10.28/10.47 exact (zenon_H143 zenon_Hed).
% 10.28/10.47 (* end of lemma zenon_L926_ *)
% 10.28/10.47 assert (zenon_L927_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (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)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.28/10.47 do 0 intro. intros zenon_H151 zenon_Hbc zenon_Hbb zenon_H18d zenon_H11f zenon_H205 zenon_H7a zenon_H43 zenon_H7d zenon_H143 zenon_Hf8.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.28/10.47 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.28/10.47 apply (zenon_L783_); trivial.
% 10.28/10.47 exact (zenon_H143 zenon_Hed).
% 10.28/10.47 apply (zenon_L41_); trivial.
% 10.28/10.47 (* end of lemma zenon_L927_ *)
% 10.28/10.47 assert (zenon_L928_ : (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e2)) = (e1)) -> ((op (e1) (e2)) = (e3)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> False).
% 10.28/10.47 do 0 intro. intros zenon_Hc5 zenon_H5d zenon_H161 zenon_H91 zenon_Hc7 zenon_H11f zenon_H1fb.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hc9 ].
% 10.28/10.47 apply (zenon_L133_); trivial.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_H94 | zenon_intro zenon_Hcc ].
% 10.28/10.47 exact (zenon_H91 zenon_H94).
% 10.28/10.47 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H3a | zenon_intro zenon_Hcd ].
% 10.28/10.47 exact (zenon_Hc7 zenon_H3a).
% 10.28/10.47 apply (zenon_L901_); trivial.
% 10.28/10.47 (* end of lemma zenon_L928_ *)
% 10.28/10.47 assert (zenon_L929_ : (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e0) (e2)) = (e1)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e3) (e2)) = (e3))) -> False).
% 10.28/10.47 do 0 intro. intros zenon_H165 zenon_H4c zenon_Hc7 zenon_H91 zenon_H5d zenon_Hc5 zenon_H1fb zenon_H11f zenon_H143.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H52 | zenon_intro zenon_H166 ].
% 10.28/10.47 apply (zenon_L130_); trivial.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H161 | zenon_intro zenon_H167 ].
% 10.28/10.47 apply (zenon_L928_); trivial.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hed ].
% 10.28/10.47 apply (zenon_L901_); trivial.
% 10.28/10.47 exact (zenon_H143 zenon_Hed).
% 10.28/10.47 (* end of lemma zenon_L929_ *)
% 10.28/10.47 assert (zenon_L930_ : (((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)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e1)) -> False).
% 10.28/10.47 do 0 intro. intros zenon_H90 zenon_Hcf zenon_H35 zenon_H1d zenon_H110 zenon_H91 zenon_H181 zenon_H62.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H76 | zenon_intro zenon_H92 ].
% 10.28/10.47 apply (zenon_L47_); trivial.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H77 | zenon_intro zenon_H93 ].
% 10.28/10.47 apply (zenon_L78_); trivial.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H94 | zenon_intro zenon_H8a ].
% 10.28/10.47 exact (zenon_H91 zenon_H94).
% 10.28/10.47 apply (zenon_L258_); trivial.
% 10.28/10.47 (* end of lemma zenon_L930_ *)
% 10.28/10.47 assert (zenon_L931_ : ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e1) = (e3))) -> (((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)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> False).
% 10.28/10.47 do 0 intro. intros zenon_H157 zenon_H112 zenon_H56 zenon_H1f zenon_H1d zenon_H165 zenon_H143 zenon_Hc7 zenon_H1fb zenon_H11f zenon_Hc5 zenon_H4c zenon_H90 zenon_H181 zenon_H110 zenon_Hcf zenon_H35 zenon_H64.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.28/10.47 exact (zenon_H56 zenon_H2c).
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.28/10.47 apply (zenon_L1_); trivial.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.28/10.47 apply (zenon_L929_); trivial.
% 10.28/10.47 apply (zenon_L930_); trivial.
% 10.28/10.47 apply (zenon_L79_); trivial.
% 10.28/10.47 (* end of lemma zenon_L931_ *)
% 10.28/10.47 assert (zenon_L932_ : ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (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) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((e2) = (e3))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> False).
% 10.28/10.47 do 0 intro. intros zenon_H156 zenon_H35 zenon_H110 zenon_H181 zenon_H90 zenon_H4c zenon_H1fb zenon_H165 zenon_H112 zenon_H157 zenon_H150 zenon_H43 zenon_Hbb zenon_H151 zenon_H18d zenon_H11f zenon_H205 zenon_H56 zenon_H1f zenon_H1d zenon_Hc5 zenon_Hc7 zenon_H3c zenon_H7d zenon_H7a zenon_H64 zenon_H143 zenon_Hf8 zenon_H95 zenon_Hd2.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.47 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.28/10.47 apply (zenon_L926_); trivial.
% 10.28/10.47 apply (zenon_L927_); trivial.
% 10.28/10.47 apply (zenon_L93_); trivial.
% 10.28/10.47 apply (zenon_L931_); trivial.
% 10.28/10.47 (* end of lemma zenon_L932_ *)
% 10.28/10.47 assert (zenon_L933_ : ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (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 (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> (~((e1) = (e3))) -> ((op (e2) (e3)) = (e3)) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((~((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 (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> False).
% 10.28/10.47 do 0 intro. intros zenon_H1af zenon_Hf8 zenon_H143 zenon_H8c zenon_H53 zenon_H7d zenon_H7a zenon_H11d zenon_H1d zenon_H4c zenon_H11f zenon_H128 zenon_H95 zenon_H44 zenon_Hab zenon_H68 zenon_H11b zenon_H205 zenon_H18d zenon_Hc0 zenon_Hbb zenon_H184 zenon_H150.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.28/10.47 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.28/10.47 apply (zenon_L917_); trivial.
% 10.28/10.47 exact (zenon_H143 zenon_Hed).
% 10.28/10.47 apply (zenon_L914_); trivial.
% 10.28/10.47 apply (zenon_L88_); trivial.
% 10.28/10.47 (* end of lemma zenon_L933_ *)
% 10.28/10.47 assert (zenon_L934_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e3) (e2)) = (e3))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e2))) -> (~((e1) = (e3))) -> (((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 (e3) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 10.28/10.47 do 0 intro. intros zenon_H64 zenon_H56 zenon_H1f zenon_H1d zenon_H143 zenon_H11f zenon_H1fb zenon_Hc5 zenon_H91 zenon_Hc7 zenon_H4c zenon_H165 zenon_H7d zenon_H8d zenon_H7a zenon_H7f zenon_H80.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.28/10.47 exact (zenon_H56 zenon_H2c).
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.28/10.47 apply (zenon_L1_); trivial.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.28/10.47 apply (zenon_L929_); trivial.
% 10.28/10.47 apply (zenon_L87_); trivial.
% 10.28/10.47 (* end of lemma zenon_L934_ *)
% 10.28/10.47 assert (zenon_L935_ : ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e3)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e1) = (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)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.28/10.47 do 0 intro. intros zenon_H150 zenon_H12f zenon_H2a zenon_H195 zenon_H1bc zenon_Hcf zenon_H16f zenon_H233 zenon_H18d zenon_H205 zenon_H56 zenon_H1f zenon_H1d zenon_H165 zenon_H143 zenon_H91 zenon_Hc7 zenon_H1fb zenon_H11f zenon_Hc5 zenon_H4c zenon_H7d zenon_H7a zenon_H64 zenon_Hf8.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.28/10.47 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.28/10.47 apply (zenon_L934_); trivial.
% 10.28/10.47 apply (zenon_L385_); trivial.
% 10.28/10.47 exact (zenon_H143 zenon_Hed).
% 10.28/10.47 apply (zenon_L919_); trivial.
% 10.28/10.47 (* end of lemma zenon_L935_ *)
% 10.28/10.47 assert (zenon_L936_ : ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e3) (e2)) = (e3))) -> (~((e1) = (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)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> False).
% 10.28/10.47 do 0 intro. intros zenon_H156 zenon_H150 zenon_H12f zenon_H195 zenon_H1bc zenon_H16f zenon_H233 zenon_H18d zenon_H205 zenon_H56 zenon_H1f zenon_H1d zenon_H165 zenon_H143 zenon_H4c zenon_H7d zenon_H7a zenon_H64 zenon_Hf8 zenon_H112 zenon_Hc5 zenon_H11f zenon_H1fb zenon_Hc7 zenon_Hb0 zenon_H53 zenon_H44 zenon_H2a zenon_H1ba zenon_H157.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.47 apply (zenon_L903_); trivial.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.47 apply (zenon_L935_); trivial.
% 10.28/10.47 apply (zenon_L79_); trivial.
% 10.28/10.47 (* end of lemma zenon_L936_ *)
% 10.28/10.47 assert (zenon_L937_ : (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e0)) -> ((op (e0) (e1)) = (e0)) -> False).
% 10.28/10.47 do 0 intro. intros zenon_H26 zenon_H2a zenon_H68.
% 10.28/10.47 cut (((op (e0) (e0)) = (e0)) = ((op (e0) (e0)) = (op (e0) (e1)))).
% 10.28/10.47 intro zenon_D_pnotp.
% 10.28/10.47 apply zenon_H26.
% 10.28/10.47 rewrite <- zenon_D_pnotp.
% 10.28/10.47 exact zenon_H2a.
% 10.28/10.47 cut (((e0) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H236].
% 10.28/10.47 cut (((op (e0) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H131].
% 10.28/10.47 congruence.
% 10.28/10.47 apply zenon_H131. apply refl_equal.
% 10.28/10.47 apply zenon_H236. apply sym_equal. exact zenon_H68.
% 10.28/10.47 (* end of lemma zenon_L937_ *)
% 10.28/10.47 assert (zenon_L938_ : ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (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) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((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)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> False).
% 10.28/10.47 do 0 intro. intros zenon_H174 zenon_H26 zenon_H157 zenon_H1ba zenon_H2a zenon_H44 zenon_H53 zenon_Hb0 zenon_Hc7 zenon_H1fb zenon_H11f zenon_Hc5 zenon_H112 zenon_Hf8 zenon_H64 zenon_H7a zenon_H7d zenon_H4c zenon_H143 zenon_H165 zenon_H1d zenon_H1f zenon_H205 zenon_H18d zenon_H233 zenon_H16f zenon_H1bc zenon_H195 zenon_H12f zenon_H150 zenon_H156.
% 10.28/10.47 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.28/10.47 apply (zenon_L936_); trivial.
% 10.28/10.47 apply (zenon_L937_); trivial.
% 10.28/10.47 (* end of lemma zenon_L938_ *)
% 10.28/10.47 assert (zenon_L939_ : ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e3)) = (e3)) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (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) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((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) (e0)) = (op (e0) (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((e0) = (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)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> False).
% 10.28/10.48 do 0 intro. intros zenon_H237 zenon_Hf8 zenon_H26 zenon_H165 zenon_H181 zenon_H4a zenon_H156 zenon_Hd2 zenon_H18d zenon_H205 zenon_H12f zenon_H155 zenon_H128 zenon_H95 zenon_H7d zenon_H145 zenon_H151 zenon_Hbb zenon_H86 zenon_H150 zenon_H112 zenon_Hc5 zenon_H11f zenon_H1fb zenon_Hc7 zenon_Hb0 zenon_H53 zenon_H44 zenon_H1ba zenon_H157 zenon_Hce zenon_Hda zenon_H8c zenon_H35 zenon_H198 zenon_H4c zenon_Hab zenon_H58 zenon_H168 zenon_H204 zenon_H195 zenon_H1bc zenon_H16f zenon_H233 zenon_H1af zenon_H11d zenon_H1f zenon_H3c zenon_H7a zenon_H64 zenon_H200 zenon_H5e zenon_H110 zenon_H90 zenon_H184 zenon_Hc0 zenon_H11b zenon_H174 zenon_H173.
% 10.28/10.48 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H7f | zenon_intro zenon_H143 ].
% 10.28/10.48 apply (zenon_L922_); trivial.
% 10.28/10.48 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.28/10.48 apply (zenon_L925_); trivial.
% 10.28/10.48 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.28/10.48 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.28/10.48 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.28/10.48 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.48 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.48 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.28/10.48 apply (zenon_L926_); trivial.
% 10.28/10.48 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.28/10.48 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.28/10.48 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.28/10.48 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.28/10.48 exact (zenon_H25 zenon_H2a).
% 10.28/10.48 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.28/10.48 apply (zenon_L918_); trivial.
% 10.28/10.48 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.28/10.48 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.28/10.48 exact (zenon_H56 zenon_H2c).
% 10.28/10.48 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.28/10.48 apply (zenon_L1_); trivial.
% 10.28/10.48 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.28/10.48 apply (zenon_L12_); trivial.
% 10.28/10.48 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H43 | zenon_intro zenon_H8e ].
% 10.28/10.48 apply (zenon_L932_); trivial.
% 10.28/10.48 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H87 | zenon_intro zenon_H8f ].
% 10.28/10.48 apply (zenon_L26_); trivial.
% 10.28/10.48 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H7b ].
% 10.28/10.48 apply (zenon_L96_); trivial.
% 10.28/10.48 apply (zenon_L261_); trivial.
% 10.28/10.48 apply (zenon_L24_); trivial.
% 10.28/10.48 apply (zenon_L385_); trivial.
% 10.28/10.48 exact (zenon_H143 zenon_Hed).
% 10.28/10.48 apply (zenon_L41_); trivial.
% 10.28/10.48 apply (zenon_L93_); trivial.
% 10.28/10.48 apply (zenon_L915_); trivial.
% 10.28/10.48 apply (zenon_L933_); trivial.
% 10.28/10.48 apply (zenon_L938_); trivial.
% 10.28/10.48 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.28/10.48 exact (zenon_Hc7 zenon_H3a).
% 10.28/10.48 apply (zenon_L385_); trivial.
% 10.28/10.48 (* end of lemma zenon_L939_ *)
% 10.28/10.48 assert (zenon_L940_ : (((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 (e2) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((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)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (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) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((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) (e0)) = (op (e0) (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((e0) = (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)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> False).
% 10.28/10.48 do 0 intro. intros zenon_H12c zenon_H73 zenon_Hb8 zenon_Hc8 zenon_H237 zenon_Hf8 zenon_H26 zenon_H165 zenon_H181 zenon_H4a zenon_H156 zenon_Hd2 zenon_H18d zenon_H205 zenon_H12f zenon_H155 zenon_H128 zenon_H95 zenon_H7d zenon_H145 zenon_H151 zenon_Hbb zenon_H86 zenon_H150 zenon_H112 zenon_Hc5 zenon_H1fb zenon_Hc7 zenon_Hb0 zenon_H53 zenon_H44 zenon_H1ba zenon_H157 zenon_Hce zenon_Hda zenon_H8c zenon_H35 zenon_H198 zenon_H4c zenon_Hab zenon_H58 zenon_H168 zenon_H204 zenon_H195 zenon_H1bc zenon_H16f zenon_H233 zenon_H1af zenon_H11d zenon_H1f zenon_H3c zenon_H7a zenon_H64 zenon_H200 zenon_H5e zenon_H110 zenon_H90 zenon_H184 zenon_Hc0 zenon_H11b zenon_H174 zenon_H173.
% 10.28/10.48 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H74 | zenon_intro zenon_H12d ].
% 10.28/10.48 apply (zenon_L20_); trivial.
% 10.28/10.48 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H12e ].
% 10.28/10.48 apply (zenon_L40_); trivial.
% 10.28/10.48 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hcd | zenon_intro zenon_H11f ].
% 10.28/10.48 exact (zenon_Hc8 zenon_Hcd).
% 10.28/10.48 apply (zenon_L939_); trivial.
% 10.28/10.48 (* end of lemma zenon_L940_ *)
% 10.28/10.48 assert (zenon_L941_ : (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((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)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (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) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((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) (e0)) = (op (e0) (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((e0) = (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)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> False).
% 10.28/10.48 do 0 intro. intros zenon_H53 zenon_H73 zenon_H95 zenon_Hb8 zenon_H237 zenon_Hf8 zenon_H26 zenon_H165 zenon_H181 zenon_H4a zenon_H156 zenon_Hd2 zenon_H18d zenon_H205 zenon_H12f zenon_H155 zenon_H128 zenon_H7d zenon_H145 zenon_H151 zenon_Hbb zenon_H86 zenon_H150 zenon_H112 zenon_Hc5 zenon_H1fb zenon_Hc7 zenon_Hb0 zenon_H44 zenon_H1ba zenon_H157 zenon_Hce zenon_Hda zenon_H8c zenon_H35 zenon_H198 zenon_H4c zenon_Hab zenon_H58 zenon_H168 zenon_H204 zenon_H195 zenon_H1bc zenon_H16f zenon_H233 zenon_H1af zenon_H11d zenon_H1f zenon_H3c zenon_H7a zenon_H64 zenon_H200 zenon_H5e zenon_H110 zenon_H90 zenon_H184 zenon_Hc0 zenon_H11b zenon_H174 zenon_H173 zenon_H12c.
% 10.28/10.48 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.48 apply (zenon_L940_); trivial.
% 10.28/10.48 apply (zenon_L164_); trivial.
% 10.28/10.48 (* end of lemma zenon_L941_ *)
% 10.28/10.48 assert (zenon_L942_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (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)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (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)))) -> (~((e1) = (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 (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (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 (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((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) (e0)) = (op (e0) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> False).
% 10.28/10.48 do 0 intro. intros zenon_Hde zenon_H68 zenon_Haf zenon_H12c zenon_H173 zenon_H174 zenon_H11b zenon_Hc0 zenon_H184 zenon_H90 zenon_H110 zenon_H5e zenon_H200 zenon_H64 zenon_H7a zenon_H3c zenon_H1f zenon_H11d zenon_H1af zenon_H233 zenon_H16f zenon_H1bc zenon_H195 zenon_H204 zenon_H168 zenon_H58 zenon_Hab zenon_H4c zenon_H198 zenon_H35 zenon_H8c zenon_Hda zenon_Hce zenon_H157 zenon_H1ba zenon_H44 zenon_Hb0 zenon_Hc7 zenon_H1fb zenon_Hc5 zenon_H112 zenon_H150 zenon_H86 zenon_Hbb zenon_H151 zenon_H145 zenon_H7d zenon_H128 zenon_H155 zenon_H12f zenon_H205 zenon_H18d zenon_Hd2 zenon_H156 zenon_H4a zenon_H181 zenon_H165 zenon_H26 zenon_Hf8 zenon_H237 zenon_H73 zenon_H53 zenon_H95 zenon_Hbd.
% 10.28/10.48 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H34 | zenon_intro zenon_He1 ].
% 10.28/10.48 apply (zenon_L16_); trivial.
% 10.28/10.48 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_Hb4 | zenon_intro zenon_He2 ].
% 10.28/10.48 exact (zenon_Haf zenon_Hb4).
% 10.28/10.48 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ].
% 10.28/10.48 apply (zenon_L941_); trivial.
% 10.28/10.48 apply (zenon_L50_); trivial.
% 10.28/10.48 (* end of lemma zenon_L942_ *)
% 10.28/10.48 assert (zenon_L943_ : ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((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) (e3)) = (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))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (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)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (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) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (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) = (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 (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> False).
% 10.28/10.48 do 0 intro. intros zenon_H18d zenon_Hd2 zenon_H17a zenon_H157 zenon_H27 zenon_H44 zenon_H68 zenon_H97 zenon_Haf zenon_H184 zenon_Hc0 zenon_H5e zenon_H4c zenon_H8c zenon_H17c zenon_H187 zenon_H18a zenon_H86 zenon_H7a zenon_H7f zenon_H7d zenon_H90 zenon_Hc1 zenon_Hde zenon_H95 zenon_H53 zenon_H28 zenon_H181 zenon_H42 zenon_H12c zenon_H173 zenon_H174 zenon_H11b zenon_H110 zenon_H200 zenon_H64 zenon_H3c zenon_H1f zenon_H11d zenon_H1af zenon_H233 zenon_H16f zenon_H1bc zenon_H195 zenon_H204 zenon_H168 zenon_H58 zenon_Hab zenon_H198 zenon_H35 zenon_Hda zenon_Hce zenon_H1ba zenon_Hb0 zenon_H1fb zenon_H112 zenon_H150 zenon_Hbb zenon_H151 zenon_H145 zenon_H128 zenon_H155 zenon_H12f zenon_H205 zenon_H156 zenon_H4a zenon_H165 zenon_H26 zenon_Hf8 zenon_H237 zenon_Hc6 zenon_H73 zenon_H91 zenon_Hc7 zenon_Hc5.
% 10.28/10.48 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.48 apply (zenon_L43_); trivial.
% 10.28/10.48 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.28/10.48 apply (zenon_L175_); trivial.
% 10.28/10.48 apply (zenon_L942_); trivial.
% 10.28/10.48 (* end of lemma zenon_L943_ *)
% 10.28/10.48 assert (zenon_L944_ : ((~((op (e1) (e1)) = (e1)))\/((op (e1) (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) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (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)) = (e2))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> False).
% 10.28/10.48 do 0 intro. intros zenon_H1ef zenon_H110 zenon_H191 zenon_Haf zenon_He8 zenon_H157 zenon_H145 zenon_H5e zenon_H155 zenon_Hc7 zenon_Hc5 zenon_H2a zenon_H12f zenon_H64 zenon_H187 zenon_H27 zenon_H95 zenon_H4c zenon_H42 zenon_H181 zenon_H35 zenon_H53 zenon_He7 zenon_Hc0 zenon_H44 zenon_H77 zenon_Hd3 zenon_H56 zenon_Hd2 zenon_H1af.
% 10.28/10.48 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.28/10.48 apply (zenon_L205_); trivial.
% 10.28/10.48 apply (zenon_L78_); trivial.
% 10.28/10.48 (* end of lemma zenon_L944_ *)
% 10.28/10.48 assert (zenon_L945_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e2)) = (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) (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) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 10.28/10.48 do 0 intro. intros zenon_H64 zenon_H56 zenon_Hd3 zenon_H77 zenon_Hc8 zenon_Hc7 zenon_H3c zenon_Hb1 zenon_Hc5 zenon_H7d zenon_H8d zenon_H7a zenon_H7f zenon_H80.
% 10.28/10.48 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.28/10.48 exact (zenon_H56 zenon_H2c).
% 10.28/10.48 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.28/10.48 apply (zenon_L196_); trivial.
% 10.28/10.48 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.28/10.48 apply (zenon_L103_); trivial.
% 10.28/10.48 apply (zenon_L87_); trivial.
% 10.28/10.48 (* end of lemma zenon_L945_ *)
% 10.28/10.48 assert (zenon_L946_ : (((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)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 10.28/10.48 do 0 intro. intros zenon_Hb0 zenon_H2a zenon_H1ba zenon_H5e zenon_Hb1 zenon_H1e2 zenon_He3 zenon_H95 zenon_H4c zenon_H28 zenon_Hda zenon_H35 zenon_H77 zenon_Hc7 zenon_H18a zenon_H15a zenon_H198 zenon_H17c zenon_H84 zenon_H86.
% 10.28/10.48 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hb5 ].
% 10.28/10.48 apply (zenon_L216_); trivial.
% 10.28/10.48 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H78 | zenon_intro zenon_Hb6 ].
% 10.28/10.48 apply (zenon_L22_); trivial.
% 10.28/10.48 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H89 ].
% 10.28/10.48 exact (zenon_Hb1 zenon_Hb7).
% 10.28/10.48 apply (zenon_L430_); trivial.
% 10.28/10.48 (* end of lemma zenon_L946_ *)
% 10.28/10.48 assert (zenon_L947_ : ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (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)) = (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))))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((e2) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (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 (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> False).
% 10.28/10.48 do 0 intro. intros zenon_H18d zenon_H1ba zenon_H2a zenon_H5e zenon_H1e2 zenon_H17c zenon_H198 zenon_H86 zenon_H18a zenon_H35 zenon_H28 zenon_H4c zenon_H15a zenon_H95 zenon_He3 zenon_Hda zenon_Hb0 zenon_H56 zenon_Hd3 zenon_H77 zenon_Hc5 zenon_Hc8 zenon_Hc7 zenon_H3c zenon_Hb1 zenon_H7d zenon_H7f zenon_H7a zenon_H8d zenon_H64.
% 10.28/10.48 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.28/10.48 apply (zenon_L945_); trivial.
% 10.28/10.48 apply (zenon_L946_); trivial.
% 10.28/10.48 (* end of lemma zenon_L947_ *)
% 10.28/10.48 assert (zenon_L948_ : (((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)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((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)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (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) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((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) (e0)) = (op (e0) (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((e0) = (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)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> False).
% 10.28/10.48 do 0 intro. intros zenon_H12c zenon_Hcf zenon_H77 zenon_Hc8 zenon_H237 zenon_Hf8 zenon_H26 zenon_H165 zenon_H181 zenon_H4a zenon_H156 zenon_Hd2 zenon_H18d zenon_H205 zenon_H12f zenon_H155 zenon_H128 zenon_H95 zenon_H7d zenon_H145 zenon_H151 zenon_Hbb zenon_H86 zenon_H150 zenon_H112 zenon_Hc5 zenon_H1fb zenon_Hc7 zenon_Hb0 zenon_H53 zenon_H44 zenon_H1ba zenon_H157 zenon_Hce zenon_Hda zenon_H8c zenon_H35 zenon_H198 zenon_H4c zenon_Hab zenon_H58 zenon_H168 zenon_H204 zenon_H195 zenon_H1bc zenon_H16f zenon_H233 zenon_H1af zenon_H11d zenon_H1f zenon_H3c zenon_H7a zenon_H64 zenon_H200 zenon_H5e zenon_H110 zenon_H90 zenon_H184 zenon_Hc0 zenon_H11b zenon_H174 zenon_H173.
% 10.28/10.48 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H74 | zenon_intro zenon_H12d ].
% 10.28/10.48 apply (zenon_L155_); trivial.
% 10.28/10.48 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H12e ].
% 10.28/10.48 apply (zenon_L48_); trivial.
% 10.28/10.48 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hcd | zenon_intro zenon_H11f ].
% 10.28/10.48 exact (zenon_Hc8 zenon_Hcd).
% 10.28/10.48 apply (zenon_L939_); trivial.
% 10.28/10.48 (* end of lemma zenon_L948_ *)
% 10.28/10.48 assert (zenon_L949_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((op (e1) (e0)) = (e1)) -> ((op (e0) (e0)) = (e0)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (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)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (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)))) -> (~((e1) = (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 (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (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 (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((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) (e0)) = (op (e0) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e2) (e1)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False).
% 10.28/10.48 do 0 intro. intros zenon_Hdd zenon_H27 zenon_H1c0 zenon_H15a zenon_H2a zenon_H1c3 zenon_H173 zenon_H174 zenon_H11b zenon_Hc0 zenon_H184 zenon_H90 zenon_H110 zenon_H5e zenon_H200 zenon_H64 zenon_H7a zenon_H3c zenon_H1f zenon_H11d zenon_H1af zenon_H233 zenon_H16f zenon_H1bc zenon_H195 zenon_H204 zenon_H168 zenon_H58 zenon_Hab zenon_H4c zenon_H198 zenon_H35 zenon_H8c zenon_Hda zenon_Hce zenon_H157 zenon_H1ba zenon_H44 zenon_H53 zenon_Hb0 zenon_Hc7 zenon_H1fb zenon_Hc5 zenon_H112 zenon_H150 zenon_H86 zenon_Hbb zenon_H151 zenon_H145 zenon_H7d zenon_H128 zenon_H155 zenon_H12f zenon_H205 zenon_H18d zenon_Hd2 zenon_H156 zenon_H4a zenon_H181 zenon_H165 zenon_H26 zenon_Hf8 zenon_H237 zenon_Hc8 zenon_H77 zenon_H12c zenon_H95 zenon_Hbc.
% 10.28/10.48 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hdf ].
% 10.28/10.48 exact (zenon_H27 zenon_H32).
% 10.28/10.48 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H6a | zenon_intro zenon_He0 ].
% 10.28/10.48 apply (zenon_L220_); trivial.
% 10.28/10.48 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd8 ].
% 10.28/10.48 apply (zenon_L948_); trivial.
% 10.28/10.48 apply (zenon_L51_); trivial.
% 10.28/10.48 (* end of lemma zenon_L949_ *)
% 10.28/10.48 assert (zenon_L950_ : ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (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) (e0)) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (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)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> (~((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)))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> False).
% 10.28/10.48 do 0 intro. intros zenon_H18d zenon_H86 zenon_H56 zenon_Hd3 zenon_H77 zenon_H42 zenon_H181 zenon_H28 zenon_H95 zenon_H4c zenon_Hda zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H2a zenon_H1ba zenon_Hce zenon_Hd0 zenon_Hdd zenon_H53 zenon_H5e zenon_Hb1 zenon_H18a zenon_H187 zenon_H35 zenon_Hc7 zenon_H1e2 zenon_H198 zenon_H17c zenon_Hb0 zenon_H15a zenon_H97 zenon_H27 zenon_H7d zenon_H7f zenon_H7a zenon_H8d zenon_H64.
% 10.28/10.48 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.28/10.48 apply (zenon_L273_); trivial.
% 10.28/10.48 apply (zenon_L280_); trivial.
% 10.28/10.48 (* end of lemma zenon_L950_ *)
% 10.28/10.48 assert (zenon_L951_ : ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (((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))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e1))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (~((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 (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (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) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> False).
% 10.28/10.48 do 0 intro. intros zenon_H150 zenon_H64 zenon_H7a zenon_H7f zenon_H7d zenon_H27 zenon_H97 zenon_H15a zenon_Hb0 zenon_H17c zenon_H198 zenon_H1e2 zenon_Hc7 zenon_H35 zenon_H187 zenon_H18a zenon_Hb1 zenon_H5e zenon_H53 zenon_Hdd zenon_Hd0 zenon_Hce zenon_H1ba zenon_H2a zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_Hda zenon_H4c zenon_H95 zenon_H28 zenon_H181 zenon_H42 zenon_H77 zenon_Hd3 zenon_H56 zenon_H86 zenon_H18d.
% 10.28/10.48 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.28/10.48 apply (zenon_L950_); trivial.
% 10.28/10.48 apply (zenon_L221_); trivial.
% 10.28/10.48 (* end of lemma zenon_L951_ *)
% 10.28/10.48 assert (zenon_L952_ : (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e1)) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((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)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (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) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((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) (e0)) = (op (e0) (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((e0) = (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)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> False).
% 10.28/10.48 do 0 intro. intros zenon_H95 zenon_Hcf zenon_H4c zenon_H77 zenon_H237 zenon_Hf8 zenon_H26 zenon_H165 zenon_H181 zenon_H4a zenon_H156 zenon_Hd2 zenon_H18d zenon_H205 zenon_H12f zenon_H155 zenon_H128 zenon_H7d zenon_H145 zenon_H151 zenon_Hbb zenon_H86 zenon_H150 zenon_H112 zenon_Hc5 zenon_H1fb zenon_Hc7 zenon_Hb0 zenon_H53 zenon_H44 zenon_H1ba zenon_H157 zenon_Hce zenon_Hda zenon_H8c zenon_H35 zenon_H198 zenon_Hab zenon_H58 zenon_H168 zenon_H204 zenon_H195 zenon_H1bc zenon_H16f zenon_H233 zenon_H1af zenon_H11d zenon_H1f zenon_H3c zenon_H7a zenon_H64 zenon_H200 zenon_H5e zenon_H110 zenon_H90 zenon_H184 zenon_Hc0 zenon_H11b zenon_H174 zenon_H173 zenon_H12c.
% 10.28/10.48 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.48 apply (zenon_L948_); trivial.
% 10.28/10.48 apply (zenon_L44_); trivial.
% 10.28/10.48 (* end of lemma zenon_L952_ *)
% 10.28/10.48 assert (zenon_L953_ : (~((op (e0) (e0)) = (e2))) -> (((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 (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (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) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (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 (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((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) (e0)) = (op (e0) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((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 (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))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (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 (e3) (e0)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((~((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) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> False).
% 10.28/10.48 do 0 intro. intros zenon_H27 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H12c zenon_H173 zenon_H174 zenon_H11b zenon_Hc0 zenon_H184 zenon_H90 zenon_H110 zenon_H200 zenon_H1f zenon_H11d zenon_H1af zenon_H233 zenon_H16f zenon_H195 zenon_H204 zenon_H168 zenon_H58 zenon_Hab zenon_H8c zenon_Hce zenon_H157 zenon_H44 zenon_H53 zenon_H1fb zenon_H112 zenon_H150 zenon_Hbb zenon_H151 zenon_H145 zenon_H128 zenon_H155 zenon_H12f zenon_H205 zenon_Hd2 zenon_H156 zenon_H4a zenon_H181 zenon_H165 zenon_H26 zenon_Hf8 zenon_H237 zenon_Hdd zenon_H64 zenon_H7a zenon_H7f zenon_H7d zenon_H3c zenon_Hc7 zenon_Hc5 zenon_H77 zenon_Hd3 zenon_H56 zenon_Hb0 zenon_Hda zenon_He3 zenon_H95 zenon_H15a zenon_H4c zenon_H28 zenon_H35 zenon_H18a zenon_H86 zenon_H198 zenon_H17c zenon_H1e2 zenon_H5e zenon_H2a zenon_H1ba zenon_H18d zenon_H97 zenon_H187 zenon_H42.
% 10.28/10.48 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.48 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.48 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.28/10.48 apply (zenon_L947_); trivial.
% 10.28/10.48 apply (zenon_L949_); trivial.
% 10.28/10.48 apply (zenon_L951_); trivial.
% 10.28/10.48 apply (zenon_L952_); trivial.
% 10.28/10.48 (* end of lemma zenon_L953_ *)
% 10.28/10.48 assert (zenon_L954_ : ((~((op (e1) (e1)) = (e1)))\/((op (e1) (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) (e1)) = (e2))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (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)) = (e2))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((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 (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (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 (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (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 (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((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 (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((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 (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))))) -> (~((op (e0) (e2)) = (op (e2) (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 (e3) (e0)) = (op (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) (e0)) = (op (e1) (e3)))) -> (~((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)) = (op (e2) (e0)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> False).
% 10.28/10.48 do 0 intro. intros zenon_H1ef zenon_H110 zenon_H191 zenon_Haf zenon_H157 zenon_H145 zenon_H5e zenon_H155 zenon_Hc7 zenon_Hc5 zenon_H2a zenon_H12f zenon_H64 zenon_H187 zenon_H27 zenon_H95 zenon_H4c zenon_H42 zenon_H181 zenon_H35 zenon_H53 zenon_He7 zenon_Hc0 zenon_H44 zenon_H77 zenon_Hd3 zenon_H56 zenon_Hd2 zenon_H1af zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H12c zenon_H173 zenon_H174 zenon_H11b zenon_H184 zenon_H90 zenon_H200 zenon_H1f zenon_H11d zenon_H233 zenon_H16f zenon_H195 zenon_H204 zenon_H168 zenon_H58 zenon_Hab zenon_H8c zenon_Hce zenon_H1fb zenon_H112 zenon_H150 zenon_Hbb zenon_H151 zenon_H128 zenon_H205 zenon_H156 zenon_H4a zenon_H165 zenon_H26 zenon_Hf8 zenon_H237 zenon_Hdd zenon_H7a zenon_H7f zenon_H7d zenon_H3c zenon_Hb0 zenon_Hda zenon_He3 zenon_H18a zenon_H86 zenon_H198 zenon_H17c zenon_H1e2 zenon_H1ba zenon_H18d zenon_H97.
% 10.28/10.48 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.28/10.48 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.28/10.48 apply (zenon_L944_); trivial.
% 10.28/10.48 apply (zenon_L953_); trivial.
% 10.28/10.48 apply (zenon_L213_); trivial.
% 10.28/10.48 (* end of lemma zenon_L954_ *)
% 10.28/10.48 assert (zenon_L955_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e1)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (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).
% 10.28/10.48 do 0 intro. intros zenon_H64 zenon_H56 zenon_Hd3 zenon_H181 zenon_Hd0 zenon_H35 zenon_He7 zenon_H44 zenon_He8 zenon_H5e zenon_Hc0 zenon_H95 zenon_H4c zenon_H77 zenon_H84 zenon_H17a zenon_H27 zenon_H42 zenon_H9a zenon_H187.
% 10.28/10.48 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.28/10.48 exact (zenon_H56 zenon_H2c).
% 10.28/10.48 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.28/10.48 apply (zenon_L196_); trivial.
% 10.28/10.48 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.28/10.48 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 10.28/10.48 exact (zenon_H27 zenon_H32).
% 10.28/10.48 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 10.28/10.48 apply (zenon_L400_); trivial.
% 10.28/10.48 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 10.28/10.48 apply (zenon_L70_); trivial.
% 10.28/10.48 apply (zenon_L163_); trivial.
% 10.28/10.48 apply (zenon_L202_); trivial.
% 10.28/10.48 (* end of lemma zenon_L955_ *)
% 10.28/10.48 assert (zenon_L956_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (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 (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (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 (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 (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> (((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 (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((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))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> False).
% 10.28/10.49 do 0 intro. intros zenon_H12c zenon_H173 zenon_H174 zenon_H11b zenon_H184 zenon_H90 zenon_H110 zenon_H200 zenon_H7a zenon_H1f zenon_H11d zenon_H1af zenon_H233 zenon_H16f zenon_H1bc zenon_H195 zenon_H204 zenon_H168 zenon_H58 zenon_Hab zenon_H198 zenon_H8c zenon_Hda zenon_Hce zenon_H157 zenon_H1ba zenon_H53 zenon_Hb0 zenon_H1fb zenon_H112 zenon_H150 zenon_H86 zenon_Hbb zenon_H151 zenon_H145 zenon_H7d zenon_H128 zenon_H155 zenon_H12f zenon_H205 zenon_H18d zenon_H156 zenon_H4a zenon_H165 zenon_H26 zenon_Hf8 zenon_H237 zenon_H64 zenon_H9a zenon_H187 zenon_H3c zenon_Hc7 zenon_Hc5 zenon_H77 zenon_Hd3 zenon_H56 zenon_H27 zenon_He7 zenon_H95 zenon_H4c zenon_H17a zenon_H84 zenon_Hc0 zenon_H5e zenon_He8 zenon_H44 zenon_H35 zenon_H181 zenon_H42 zenon_Hd2.
% 10.28/10.49 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.49 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.49 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.28/10.49 exact (zenon_H56 zenon_H2c).
% 10.28/10.49 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.28/10.49 apply (zenon_L196_); trivial.
% 10.28/10.49 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.28/10.49 apply (zenon_L103_); trivial.
% 10.28/10.49 apply (zenon_L202_); trivial.
% 10.28/10.49 apply (zenon_L955_); trivial.
% 10.28/10.49 apply (zenon_L952_); trivial.
% 10.28/10.49 (* end of lemma zenon_L956_ *)
% 10.28/10.49 assert (zenon_L957_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((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 (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (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) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (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)) = (op (e0) (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e3)) = (op (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 (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> False).
% 10.28/10.49 do 0 intro. intros zenon_Hd2 zenon_H42 zenon_H181 zenon_H35 zenon_H44 zenon_H5e zenon_Hc0 zenon_H84 zenon_H17a zenon_H4c zenon_H95 zenon_He7 zenon_H27 zenon_H56 zenon_Hd3 zenon_H77 zenon_Hc5 zenon_Hc7 zenon_H3c zenon_H187 zenon_H64 zenon_H237 zenon_Hf8 zenon_H26 zenon_H165 zenon_H4a zenon_H156 zenon_H18d zenon_H205 zenon_H12f zenon_H155 zenon_H128 zenon_H7d zenon_H145 zenon_H151 zenon_Hbb zenon_H86 zenon_H150 zenon_H112 zenon_H1fb zenon_Hb0 zenon_H53 zenon_H1ba zenon_H157 zenon_Hce zenon_Hda zenon_H8c zenon_H198 zenon_Hab zenon_H58 zenon_H168 zenon_H204 zenon_H195 zenon_H1bc zenon_H16f zenon_H233 zenon_H1af zenon_H11d zenon_H1f zenon_H7a zenon_H200 zenon_H110 zenon_H90 zenon_H184 zenon_H11b zenon_H174 zenon_H173 zenon_H12c zenon_He8 zenon_H192 zenon_Haf zenon_H191.
% 10.28/10.49 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.28/10.49 apply (zenon_L190_); trivial.
% 10.28/10.49 apply (zenon_L956_); trivial.
% 10.28/10.49 (* end of lemma zenon_L957_ *)
% 10.28/10.49 assert (zenon_L958_ : ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (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 (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (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 (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 (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (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)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((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))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> False).
% 10.28/10.49 do 0 intro. intros zenon_H1ef zenon_H191 zenon_Haf zenon_He8 zenon_H12c zenon_H173 zenon_H174 zenon_H11b zenon_H184 zenon_H90 zenon_H110 zenon_H200 zenon_H7a zenon_H1f zenon_H11d zenon_H1af zenon_H233 zenon_H16f zenon_H1bc zenon_H195 zenon_H204 zenon_H168 zenon_H58 zenon_Hab zenon_H198 zenon_H8c zenon_Hda zenon_Hce zenon_H157 zenon_H1ba zenon_H53 zenon_Hb0 zenon_H1fb zenon_H112 zenon_H150 zenon_H86 zenon_Hbb zenon_H151 zenon_H145 zenon_H7d zenon_H128 zenon_H155 zenon_H12f zenon_H205 zenon_H18d zenon_H156 zenon_H4a zenon_H165 zenon_H26 zenon_Hf8 zenon_H237 zenon_H64 zenon_H187 zenon_H3c zenon_Hc7 zenon_Hc5 zenon_H77 zenon_Hd3 zenon_H56 zenon_H27 zenon_He7 zenon_H95 zenon_H4c zenon_H17a zenon_H84 zenon_Hc0 zenon_H5e zenon_H44 zenon_H35 zenon_H181 zenon_H42 zenon_Hd2.
% 10.28/10.49 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.28/10.49 apply (zenon_L957_); trivial.
% 10.28/10.49 apply (zenon_L78_); trivial.
% 10.28/10.49 (* end of lemma zenon_L958_ *)
% 10.28/10.49 assert (zenon_L959_ : (((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)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (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)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (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 (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (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 (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((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) (e0)) = (op (e0) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e2)) = (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) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 10.28/10.49 do 0 intro. intros zenon_H1e2 zenon_H12c zenon_H173 zenon_H174 zenon_H11b zenon_Hc0 zenon_H184 zenon_H90 zenon_H110 zenon_H5e zenon_H200 zenon_H64 zenon_H7a zenon_H3c zenon_H1f zenon_H11d zenon_H1af zenon_H233 zenon_H16f zenon_H1bc zenon_H195 zenon_H204 zenon_H168 zenon_H58 zenon_Hab zenon_H8c zenon_Hda zenon_Hce zenon_H157 zenon_H1ba zenon_H44 zenon_H53 zenon_Hb0 zenon_H1fb zenon_Hc5 zenon_H112 zenon_H150 zenon_Hbb zenon_H151 zenon_H145 zenon_H7d zenon_H128 zenon_H155 zenon_H12f zenon_H205 zenon_H18d zenon_Hd2 zenon_H156 zenon_H4a zenon_H181 zenon_H165 zenon_H26 zenon_Hf8 zenon_H237 zenon_H4c zenon_H95 zenon_H35 zenon_H77 zenon_Hc7 zenon_H18a zenon_H43 zenon_H187 zenon_H15a zenon_H198 zenon_H17c zenon_H84 zenon_H86.
% 10.28/10.49 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_Hcf | zenon_intro zenon_H1e3 ].
% 10.28/10.49 apply (zenon_L952_); trivial.
% 10.28/10.49 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H1e4 ].
% 10.28/10.49 apply (zenon_L203_); trivial.
% 10.28/10.49 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd0 ].
% 10.28/10.49 exact (zenon_Hc7 zenon_H3a).
% 10.28/10.49 apply (zenon_L426_); trivial.
% 10.28/10.49 (* end of lemma zenon_L959_ *)
% 10.28/10.49 assert (zenon_L960_ : (((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)) = (e0)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((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 (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (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) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (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)) = (op (e0) (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e3)) = (op (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 (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (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))) -> False).
% 10.28/10.49 do 0 intro. intros zenon_H18a zenon_H17c zenon_H43 zenon_H1e2 zenon_Hd2 zenon_H42 zenon_H181 zenon_H35 zenon_H44 zenon_H5e zenon_Hc0 zenon_H84 zenon_H17a zenon_H4c zenon_H95 zenon_He7 zenon_H27 zenon_H56 zenon_Hd3 zenon_H77 zenon_Hc5 zenon_Hc7 zenon_H3c zenon_H187 zenon_H64 zenon_H237 zenon_Hf8 zenon_H26 zenon_H165 zenon_H4a zenon_H156 zenon_H18d zenon_H205 zenon_H12f zenon_H155 zenon_H128 zenon_H7d zenon_H145 zenon_H151 zenon_Hbb zenon_H86 zenon_H150 zenon_H112 zenon_H1fb zenon_Hb0 zenon_H53 zenon_H1ba zenon_H157 zenon_Hce zenon_Hda zenon_H8c zenon_H198 zenon_Hab zenon_H58 zenon_H168 zenon_H204 zenon_H195 zenon_H1bc zenon_H16f zenon_H233 zenon_H1af zenon_H11d zenon_H1f zenon_H7a zenon_H200 zenon_H110 zenon_H90 zenon_H184 zenon_H11b zenon_H174 zenon_H173 zenon_H12c zenon_Haf zenon_H191 zenon_H1ef.
% 10.28/10.49 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.28/10.49 apply (zenon_L958_); trivial.
% 10.28/10.49 apply (zenon_L959_); trivial.
% 10.28/10.49 (* end of lemma zenon_L960_ *)
% 10.28/10.49 assert (zenon_L961_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (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)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (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 (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 (e2) (e2)) = (e1)))\/((op (e2) (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 (e2) (e2)) = (op (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 (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((e2) = (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 (e0) (e3)) = (op (e2) (e3)))) -> False).
% 10.28/10.49 do 0 intro. intros zenon_H1e2 zenon_H173 zenon_H174 zenon_H11b zenon_Hc0 zenon_H184 zenon_H90 zenon_H110 zenon_H5e zenon_H200 zenon_H64 zenon_H3c zenon_H1f zenon_H11d zenon_H1af zenon_H233 zenon_H16f zenon_H1bc zenon_H195 zenon_H204 zenon_H168 zenon_H58 zenon_Hab zenon_H4c zenon_H198 zenon_H8c zenon_Hda zenon_Hce zenon_H157 zenon_H1ba zenon_Hb0 zenon_H1fb zenon_Hc5 zenon_H112 zenon_H150 zenon_H86 zenon_Hbb zenon_H151 zenon_H145 zenon_H7d zenon_H128 zenon_H155 zenon_H12f zenon_H205 zenon_H18d zenon_Hd2 zenon_H156 zenon_H4a zenon_H165 zenon_H26 zenon_Hf8 zenon_H237 zenon_Hc8 zenon_H12c zenon_H35 zenon_H77 zenon_Hc7 zenon_H42 zenon_H27 zenon_H44 zenon_H7a zenon_H84 zenon_H95 zenon_H68 zenon_H53 zenon_H28 zenon_H97 zenon_H181.
% 10.28/10.49 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_Hcf | zenon_intro zenon_H1e3 ].
% 10.28/10.49 apply (zenon_L948_); trivial.
% 10.28/10.49 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H1e4 ].
% 10.28/10.49 apply (zenon_L203_); trivial.
% 10.28/10.49 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H3a | zenon_intro zenon_Hd0 ].
% 10.28/10.49 exact (zenon_Hc7 zenon_H3a).
% 10.28/10.49 apply (zenon_L171_); trivial.
% 10.28/10.49 (* end of lemma zenon_L961_ *)
% 10.28/10.49 assert (zenon_L962_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (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)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (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) = (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 (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (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 (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((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) (e0)) = (op (e0) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e0)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> False).
% 10.28/10.49 do 0 intro. intros zenon_H12c zenon_H173 zenon_H174 zenon_H11b zenon_Hc0 zenon_H184 zenon_H90 zenon_H110 zenon_H5e zenon_H200 zenon_H64 zenon_H7a zenon_H3c zenon_H1f zenon_H11d zenon_H1af zenon_H233 zenon_H16f zenon_H1bc zenon_H195 zenon_H204 zenon_H168 zenon_H58 zenon_Hab zenon_H198 zenon_H35 zenon_H8c zenon_Hda zenon_Hce zenon_H157 zenon_H1ba zenon_H44 zenon_H53 zenon_Hb0 zenon_Hc7 zenon_H1fb zenon_Hc5 zenon_H112 zenon_H150 zenon_H86 zenon_Hbb zenon_H151 zenon_H145 zenon_H7d zenon_H128 zenon_H155 zenon_H12f zenon_H205 zenon_H18d zenon_Hd2 zenon_H156 zenon_H4a zenon_H181 zenon_H165 zenon_H26 zenon_Hf8 zenon_H237 zenon_H77 zenon_H4c zenon_H95 zenon_H42 zenon_H28 zenon_H84 zenon_H97 zenon_H68 zenon_H27 zenon_H1e2.
% 10.28/10.49 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.49 apply (zenon_L961_); trivial.
% 10.28/10.49 apply (zenon_L171_); trivial.
% 10.28/10.49 (* end of lemma zenon_L962_ *)
% 10.28/10.49 assert (zenon_L963_ : (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e1)) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((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)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (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) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((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) (e0)) = (op (e0) (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((e0) = (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)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> False).
% 10.28/10.49 do 0 intro. intros zenon_H1e2 zenon_H27 zenon_H68 zenon_H97 zenon_H84 zenon_H42 zenon_H95 zenon_H4c zenon_H77 zenon_H237 zenon_Hf8 zenon_H26 zenon_H165 zenon_H181 zenon_H4a zenon_H156 zenon_Hd2 zenon_H18d zenon_H205 zenon_H12f zenon_H155 zenon_H128 zenon_H7d zenon_H145 zenon_H151 zenon_Hbb zenon_H86 zenon_H150 zenon_H112 zenon_Hc5 zenon_H1fb zenon_Hc7 zenon_Hb0 zenon_H53 zenon_H44 zenon_H1ba zenon_H157 zenon_Hce zenon_Hda zenon_H8c zenon_H35 zenon_H198 zenon_Hab zenon_H58 zenon_H168 zenon_H204 zenon_H195 zenon_H1bc zenon_H16f zenon_H233 zenon_H1af zenon_H11d zenon_H1f zenon_H3c zenon_H7a zenon_H64 zenon_H200 zenon_H5e zenon_H110 zenon_H90 zenon_H184 zenon_Hc0 zenon_H11b zenon_H174 zenon_H173 zenon_H12c.
% 10.28/10.49 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.28/10.49 apply (zenon_L962_); trivial.
% 10.28/10.49 apply (zenon_L85_); trivial.
% 10.28/10.49 (* end of lemma zenon_L963_ *)
% 10.28/10.49 assert (zenon_L964_ : (((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 (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (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) (e0)) = (op (e3) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((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 (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (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) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (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)) = (op (e0) (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e3)) = (op (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 (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (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))) -> False).
% 10.28/10.49 do 0 intro. intros zenon_H97 zenon_Hdd zenon_H1e2 zenon_H17c zenon_H18a zenon_He3 zenon_Hd2 zenon_H42 zenon_H181 zenon_H35 zenon_H44 zenon_H5e zenon_Hc0 zenon_H84 zenon_H17a zenon_H4c zenon_H95 zenon_He7 zenon_H27 zenon_Hd3 zenon_H77 zenon_Hc5 zenon_Hc7 zenon_H3c zenon_H187 zenon_H64 zenon_H237 zenon_Hf8 zenon_H26 zenon_H165 zenon_H4a zenon_H156 zenon_H18d zenon_H205 zenon_H12f zenon_H155 zenon_H128 zenon_H7d zenon_H145 zenon_H151 zenon_Hbb zenon_H86 zenon_H150 zenon_H112 zenon_H1fb zenon_Hb0 zenon_H53 zenon_H1ba zenon_H157 zenon_Hce zenon_Hda zenon_H8c zenon_H198 zenon_Hab zenon_H58 zenon_H168 zenon_H204 zenon_H195 zenon_H1bc zenon_H16f zenon_H233 zenon_H1af zenon_H11d zenon_H1f zenon_H7a zenon_H200 zenon_H110 zenon_H90 zenon_H184 zenon_H11b zenon_H174 zenon_H173 zenon_H12c zenon_Haf zenon_H191 zenon_H1ef.
% 10.28/10.49 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.28/10.49 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.28/10.49 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.28/10.49 apply (zenon_L958_); trivial.
% 10.28/10.49 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.28/10.49 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hdf ].
% 10.28/10.49 exact (zenon_H27 zenon_H32).
% 10.28/10.49 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H6a | zenon_intro zenon_He0 ].
% 10.28/10.49 apply (zenon_L238_); trivial.
% 10.28/10.49 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd8 ].
% 10.28/10.49 apply (zenon_L296_); trivial.
% 10.28/10.49 apply (zenon_L831_); trivial.
% 10.28/10.49 apply (zenon_L296_); trivial.
% 10.28/10.49 apply (zenon_L960_); trivial.
% 10.28/10.49 apply (zenon_L963_); trivial.
% 10.28/10.49 (* end of lemma zenon_L964_ *)
% 10.28/10.49 assert (zenon_L965_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e3) (e3)) = (e2))) -> (((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 (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (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) (e0)) = (op (e3) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((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 (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (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) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (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)) = (op (e0) (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e3)) = (op (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 (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (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))) -> False).
% 10.28/10.49 do 0 intro. intros zenon_H1c3 zenon_H1c0 zenon_H7f zenon_H97 zenon_Hdd zenon_H1e2 zenon_H17c zenon_H18a zenon_He3 zenon_Hd2 zenon_H42 zenon_H181 zenon_H35 zenon_H44 zenon_H5e zenon_Hc0 zenon_H17a zenon_H4c zenon_H95 zenon_He7 zenon_H27 zenon_Hd3 zenon_H77 zenon_Hc5 zenon_Hc7 zenon_H3c zenon_H187 zenon_H64 zenon_H237 zenon_Hf8 zenon_H26 zenon_H165 zenon_H4a zenon_H156 zenon_H18d zenon_H205 zenon_H12f zenon_H155 zenon_H128 zenon_H7d zenon_H145 zenon_H151 zenon_Hbb zenon_H86 zenon_H150 zenon_H112 zenon_H1fb zenon_Hb0 zenon_H53 zenon_H1ba zenon_H157 zenon_Hce zenon_Hda zenon_H8c zenon_H198 zenon_Hab zenon_H58 zenon_H168 zenon_H204 zenon_H195 zenon_H1bc zenon_H16f zenon_H233 zenon_H1af zenon_H11d zenon_H1f zenon_H7a zenon_H200 zenon_H110 zenon_H90 zenon_H184 zenon_H11b zenon_H174 zenon_H173 zenon_H12c zenon_Haf zenon_H191 zenon_H1ef.
% 10.28/10.49 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.28/10.49 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.28/10.49 apply (zenon_L954_); trivial.
% 10.28/10.49 apply (zenon_L937_); trivial.
% 10.28/10.49 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.28/10.49 apply (zenon_L78_); trivial.
% 10.28/10.49 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.28/10.49 exact (zenon_Hc7 zenon_H3a).
% 10.28/10.49 apply (zenon_L964_); trivial.
% 10.28/10.49 (* end of lemma zenon_L965_ *)
% 10.28/10.49 assert (zenon_L966_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e3))) -> ((op (e2) (e1)) = (e2)) -> (~((e2) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e1) = (e2))) -> ((op (e0) (e2)) = (e1)) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 10.28/10.49 do 0 intro. intros zenon_H42 zenon_H27 zenon_H53 zenon_Hb8 zenon_H95 zenon_Hc1 zenon_Hc0 zenon_H44 zenon_He8 zenon_He7 zenon_H35 zenon_H5d zenon_Hd0 zenon_H181.
% 10.28/10.49 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 10.28/10.49 exact (zenon_H27 zenon_H32).
% 10.28/10.49 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 10.28/10.49 apply (zenon_L185_); trivial.
% 10.28/10.49 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 10.28/10.49 apply (zenon_L70_); trivial.
% 10.28/10.49 apply (zenon_L163_); trivial.
% 10.28/10.49 (* end of lemma zenon_L966_ *)
% 10.28/10.49 assert (zenon_L967_ : (~((op (e0) (e0)) = (e1))) -> ((op (e1) (e1)) = (e1)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((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)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (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) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((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) (e0)) = (op (e0) (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((e0) = (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)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> False).
% 10.28/10.49 do 0 intro. intros zenon_H56 zenon_H1d zenon_H42 zenon_He8 zenon_Hc1 zenon_He7 zenon_H27 zenon_H18a zenon_H84 zenon_H17c zenon_H43 zenon_H187 zenon_H53 zenon_H73 zenon_H95 zenon_Hb8 zenon_H237 zenon_Hf8 zenon_H26 zenon_H165 zenon_H181 zenon_H4a zenon_H156 zenon_Hd2 zenon_H18d zenon_H205 zenon_H12f zenon_H155 zenon_H128 zenon_H7d zenon_H145 zenon_H151 zenon_Hbb zenon_H86 zenon_H150 zenon_H112 zenon_Hc5 zenon_H1fb zenon_Hc7 zenon_Hb0 zenon_H44 zenon_H1ba zenon_H157 zenon_Hce zenon_Hda zenon_H8c zenon_H35 zenon_H198 zenon_H4c zenon_Hab zenon_H58 zenon_H168 zenon_H204 zenon_H195 zenon_H1bc zenon_H16f zenon_H233 zenon_H1af zenon_H11d zenon_H1f zenon_H3c zenon_H7a zenon_H64 zenon_H200 zenon_H5e zenon_H110 zenon_H90 zenon_H184 zenon_Hc0 zenon_H11b zenon_H174 zenon_H173 zenon_H12c.
% 10.28/10.49 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.28/10.49 apply (zenon_L940_); trivial.
% 10.28/10.49 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.28/10.49 exact (zenon_H56 zenon_H2c).
% 10.28/10.49 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.28/10.49 apply (zenon_L1_); trivial.
% 10.28/10.49 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.28/10.49 apply (zenon_L966_); trivial.
% 10.28/10.49 apply (zenon_L411_); trivial.
% 10.28/10.49 (* end of lemma zenon_L967_ *)
% 10.28/10.49 assert (zenon_L968_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (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)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (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) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((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) (e0)) = (op (e0) (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((e0) = (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)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> False).
% 10.28/10.49 do 0 intro. intros zenon_Hd2 zenon_H187 zenon_H43 zenon_H11d zenon_H1d zenon_H17c zenon_H86 zenon_H84 zenon_H18a zenon_Hc6 zenon_H73 zenon_Hc7 zenon_Hc5 zenon_H56 zenon_H42 zenon_He8 zenon_He7 zenon_H27 zenon_H53 zenon_H95 zenon_H237 zenon_Hf8 zenon_H26 zenon_H165 zenon_H181 zenon_H4a zenon_H156 zenon_H18d zenon_H205 zenon_H12f zenon_H155 zenon_H128 zenon_H7d zenon_H145 zenon_H151 zenon_Hbb zenon_H150 zenon_H112 zenon_H1fb zenon_Hb0 zenon_H44 zenon_H1ba zenon_H157 zenon_Hce zenon_Hda zenon_H8c zenon_H35 zenon_H198 zenon_H4c zenon_Hab zenon_H58 zenon_H168 zenon_H204 zenon_H195 zenon_H1bc zenon_H16f zenon_H233 zenon_H1af zenon_H1f zenon_H3c zenon_H7a zenon_H64 zenon_H200 zenon_H5e zenon_H110 zenon_H90 zenon_H184 zenon_Hc0 zenon_H11b zenon_H174 zenon_H173 zenon_H12c.
% 10.28/10.49 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.28/10.49 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.28/10.49 apply (zenon_L638_); trivial.
% 10.28/10.49 apply (zenon_L967_); trivial.
% 10.28/10.49 apply (zenon_L88_); trivial.
% 10.28/10.49 (* end of lemma zenon_L968_ *)
% 10.28/10.49 assert (zenon_L969_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (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)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (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)))) -> (~((e1) = (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 (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((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) (e0)) = (op (e0) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (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 (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (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).
% 10.36/10.50 do 0 intro. intros zenon_H12c zenon_H173 zenon_H174 zenon_H11b zenon_Hc0 zenon_H184 zenon_H90 zenon_H110 zenon_H5e zenon_H200 zenon_H64 zenon_H3c zenon_H1f zenon_H1af zenon_H233 zenon_H16f zenon_H1bc zenon_H195 zenon_H204 zenon_H168 zenon_H58 zenon_Hab zenon_H4c zenon_H198 zenon_H35 zenon_H8c zenon_Hda zenon_Hce zenon_H157 zenon_H1ba zenon_H44 zenon_Hb0 zenon_H1fb zenon_H112 zenon_H150 zenon_Hbb zenon_H151 zenon_H145 zenon_H128 zenon_H155 zenon_H12f zenon_H205 zenon_H18d zenon_H156 zenon_H4a zenon_H181 zenon_H165 zenon_H26 zenon_Hf8 zenon_H237 zenon_H95 zenon_H53 zenon_H27 zenon_He7 zenon_He8 zenon_H42 zenon_H56 zenon_Hc5 zenon_Hc7 zenon_H73 zenon_Hc6 zenon_H18a zenon_H86 zenon_H17c zenon_H1d zenon_H11d zenon_H187 zenon_Hd2 zenon_H7a zenon_H43 zenon_H7e zenon_H7f zenon_H7d.
% 10.36/10.50 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.36/10.50 apply (zenon_L24_); trivial.
% 10.36/10.50 apply (zenon_L968_); trivial.
% 10.36/10.50 (* end of lemma zenon_L969_ *)
% 10.36/10.50 assert (zenon_L970_ : (((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 (e1) (e1)) = (e1)) -> ((op (e2) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e2))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 10.36/10.50 do 0 intro. intros zenon_H1b4 zenon_H56 zenon_H195 zenon_H1d zenon_H73 zenon_H14d zenon_H5e zenon_H53 zenon_H7f zenon_H44 zenon_H95 zenon_Hbd zenon_H35 zenon_H177 zenon_H8d.
% 10.36/10.50 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 10.36/10.50 exact (zenon_H56 zenon_H2c).
% 10.36/10.50 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 10.36/10.50 apply (zenon_L325_); trivial.
% 10.36/10.50 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 10.36/10.50 apply (zenon_L165_); trivial.
% 10.36/10.50 apply (zenon_L340_); trivial.
% 10.36/10.50 (* end of lemma zenon_L970_ *)
% 10.36/10.50 assert (zenon_L971_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (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)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (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)))) -> (~((e1) = (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 (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((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) (e0)) = (op (e0) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (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 (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e3) (e3)) = (e2))) -> (((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 (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> False).
% 10.36/10.50 do 0 intro. intros zenon_H12c zenon_H173 zenon_H174 zenon_H11b zenon_Hc0 zenon_H184 zenon_H90 zenon_H110 zenon_H5e zenon_H200 zenon_H64 zenon_H3c zenon_H1f zenon_H1af zenon_H233 zenon_H16f zenon_H1bc zenon_H195 zenon_H204 zenon_H168 zenon_H58 zenon_Hab zenon_H4c zenon_H198 zenon_H35 zenon_H8c zenon_Hda zenon_Hce zenon_H157 zenon_H1ba zenon_H44 zenon_Hb0 zenon_H1fb zenon_H112 zenon_H150 zenon_Hbb zenon_H151 zenon_H145 zenon_H128 zenon_H155 zenon_H12f zenon_H205 zenon_H18d zenon_H156 zenon_H4a zenon_H181 zenon_H165 zenon_H26 zenon_Hf8 zenon_H237 zenon_H95 zenon_H53 zenon_H27 zenon_He7 zenon_He8 zenon_H42 zenon_H56 zenon_Hc5 zenon_Hc7 zenon_H73 zenon_Hc6 zenon_H18a zenon_H86 zenon_H17c zenon_H1d zenon_H11d zenon_H187 zenon_Hd2 zenon_H7a zenon_H43 zenon_H7f zenon_H7d zenon_H1b4 zenon_H177 zenon_H14d.
% 10.36/10.50 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.36/10.50 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.36/10.50 apply (zenon_L969_); trivial.
% 10.36/10.50 apply (zenon_L970_); trivial.
% 10.36/10.50 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.36/10.50 apply (zenon_L969_); trivial.
% 10.36/10.50 apply (zenon_L41_); trivial.
% 10.36/10.50 (* end of lemma zenon_L971_ *)
% 10.36/10.50 assert (zenon_L972_ : (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (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 (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (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)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (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)))) -> (~((e1) = (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 (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((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) (e0)) = (op (e0) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (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 (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((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))))) -> (((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))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> False).
% 10.36/10.50 do 0 intro. intros zenon_H25 zenon_H28 zenon_Hde zenon_Hc1 zenon_H91 zenon_H1c3 zenon_H1c0 zenon_H97 zenon_Hdd zenon_H1e2 zenon_He3 zenon_H17a zenon_Hd3 zenon_Haf zenon_H191 zenon_H1ef zenon_H12c zenon_H173 zenon_H174 zenon_H11b zenon_Hc0 zenon_H184 zenon_H90 zenon_H110 zenon_H5e zenon_H200 zenon_H64 zenon_H3c zenon_H1f zenon_H1af zenon_H233 zenon_H16f zenon_H1bc zenon_H195 zenon_H204 zenon_H168 zenon_H58 zenon_Hab zenon_H4c zenon_H198 zenon_H35 zenon_H8c zenon_Hda zenon_Hce zenon_H157 zenon_H1ba zenon_H44 zenon_Hb0 zenon_H1fb zenon_H112 zenon_H150 zenon_Hbb zenon_H151 zenon_H145 zenon_H128 zenon_H155 zenon_H12f zenon_H205 zenon_H18d zenon_H156 zenon_H4a zenon_H181 zenon_H165 zenon_H26 zenon_Hf8 zenon_H237 zenon_H95 zenon_H53 zenon_H27 zenon_He7 zenon_He8 zenon_H42 zenon_H56 zenon_Hc5 zenon_Hc7 zenon_H73 zenon_Hc6 zenon_H18a zenon_H86 zenon_H17c zenon_H1d zenon_H11d zenon_H187 zenon_Hd2 zenon_H7a zenon_H7f zenon_H7d zenon_H1b4 zenon_H177 zenon_H14d.
% 10.36/10.50 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.36/10.50 exact (zenon_H25 zenon_H2a).
% 10.36/10.50 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.36/10.50 apply (zenon_L943_); trivial.
% 10.36/10.50 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.36/10.50 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.36/10.50 exact (zenon_H56 zenon_H2c).
% 10.36/10.50 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.36/10.50 apply (zenon_L1_); trivial.
% 10.36/10.50 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.36/10.50 apply (zenon_L12_); trivial.
% 10.36/10.50 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H76 | zenon_intro zenon_H92 ].
% 10.36/10.50 apply (zenon_L165_); trivial.
% 10.36/10.50 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H77 | zenon_intro zenon_H93 ].
% 10.36/10.50 apply (zenon_L965_); trivial.
% 10.36/10.50 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H94 | zenon_intro zenon_H8a ].
% 10.36/10.50 exact (zenon_H91 zenon_H94).
% 10.36/10.50 apply (zenon_L258_); trivial.
% 10.36/10.50 apply (zenon_L971_); trivial.
% 10.36/10.50 (* end of lemma zenon_L972_ *)
% 10.36/10.50 assert (zenon_L973_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e1))) -> ((op (e1) (e1)) = (e1)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (op (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 (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((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) (e0)) = (op (e0) (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (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) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (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 (e1) (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))) -> (~((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 (e1) (e1)) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e0)) = (e0))) -> False).
% 10.36/10.50 do 0 intro. intros zenon_H14d zenon_H177 zenon_H1b4 zenon_He8 zenon_H56 zenon_H1d zenon_H1e2 zenon_He3 zenon_Hdd zenon_H1c0 zenon_H1c3 zenon_Hd3 zenon_He7 zenon_H191 zenon_H1ef zenon_Hc5 zenon_Hc7 zenon_H73 zenon_Hc6 zenon_H237 zenon_Hf8 zenon_H26 zenon_H165 zenon_H4a zenon_H156 zenon_H205 zenon_H12f zenon_H155 zenon_H128 zenon_H145 zenon_H151 zenon_Hbb zenon_H150 zenon_H112 zenon_H1fb zenon_Hb0 zenon_H1ba zenon_Hce zenon_Hda zenon_H35 zenon_H198 zenon_Hab zenon_H58 zenon_H168 zenon_H204 zenon_H195 zenon_H1bc zenon_H16f zenon_H233 zenon_H1af zenon_H11d zenon_H1f zenon_H3c zenon_H64 zenon_H200 zenon_H110 zenon_H11b zenon_H174 zenon_H173 zenon_H12c zenon_H42 zenon_H181 zenon_H28 zenon_H53 zenon_H95 zenon_Hde zenon_H90 zenon_H7d zenon_H7f zenon_H7a zenon_H86 zenon_H18a zenon_H187 zenon_H17c zenon_H8c zenon_H4c zenon_H5e zenon_Hc0 zenon_H184 zenon_Haf zenon_H97 zenon_H44 zenon_H27 zenon_H157 zenon_H17a zenon_Hd2 zenon_H18d zenon_H25.
% 10.36/10.50 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.36/10.50 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.36/10.50 apply (zenon_L972_); trivial.
% 10.36/10.50 apply (zenon_L941_); trivial.
% 10.36/10.50 apply (zenon_L88_); trivial.
% 10.36/10.50 (* end of lemma zenon_L973_ *)
% 10.36/10.50 assert (zenon_L974_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((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 (e3) (e3)) = (e2))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (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 (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (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)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (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) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((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) (e0)) = (op (e0) (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((e0) = (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)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> False).
% 10.36/10.50 do 0 intro. intros zenon_H14d zenon_H177 zenon_H1b4 zenon_H7d zenon_H7f zenon_H43 zenon_H7a zenon_Hd2 zenon_H187 zenon_H11d zenon_H1d zenon_H17c zenon_H86 zenon_H18a zenon_Hc6 zenon_H73 zenon_Hc7 zenon_Hc5 zenon_H56 zenon_H42 zenon_He7 zenon_H27 zenon_H53 zenon_H95 zenon_H237 zenon_Hf8 zenon_H26 zenon_H165 zenon_H181 zenon_H4a zenon_H156 zenon_H18d zenon_H205 zenon_H12f zenon_H155 zenon_H128 zenon_H145 zenon_H151 zenon_Hbb zenon_H150 zenon_H112 zenon_H1fb zenon_Hb0 zenon_H44 zenon_H1ba zenon_H157 zenon_Hce zenon_Hda zenon_H8c zenon_H35 zenon_H198 zenon_H4c zenon_Hab zenon_H58 zenon_H168 zenon_H204 zenon_H195 zenon_H1bc zenon_H16f zenon_H233 zenon_H1af zenon_H1f zenon_H3c zenon_H64 zenon_H200 zenon_H5e zenon_H110 zenon_H90 zenon_H184 zenon_Hc0 zenon_H11b zenon_H174 zenon_H173 zenon_H12c.
% 10.36/10.50 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.36/10.50 apply (zenon_L971_); trivial.
% 10.36/10.50 apply (zenon_L325_); trivial.
% 10.36/10.50 (* end of lemma zenon_L974_ *)
% 10.36/10.50 assert (zenon_L975_ : ((op (e1) (e1)) = (e1)) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((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) (e3)) = (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))))) -> (((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))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (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)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (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) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (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) = (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 (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> False).
% 10.36/10.50 do 0 intro. intros zenon_H1d zenon_H18d zenon_Hd2 zenon_H17a zenon_H157 zenon_H27 zenon_H44 zenon_H68 zenon_H97 zenon_Haf zenon_H184 zenon_Hc0 zenon_H5e zenon_H4c zenon_H8c zenon_H17c zenon_H187 zenon_H18a zenon_H86 zenon_H7a zenon_H7f zenon_H7d zenon_H90 zenon_Hde zenon_H95 zenon_H53 zenon_H28 zenon_H181 zenon_H42 zenon_H12c zenon_H173 zenon_H174 zenon_H11b zenon_H110 zenon_H200 zenon_H64 zenon_H3c zenon_H1f zenon_H11d zenon_H1af zenon_H233 zenon_H16f zenon_H1bc zenon_H195 zenon_H204 zenon_H168 zenon_H58 zenon_Hab zenon_H198 zenon_H35 zenon_Hda zenon_Hce zenon_H1ba zenon_Hb0 zenon_H1fb zenon_H112 zenon_H150 zenon_Hbb zenon_H151 zenon_H145 zenon_H128 zenon_H155 zenon_H12f zenon_H205 zenon_H156 zenon_H4a zenon_H165 zenon_H26 zenon_Hf8 zenon_H237 zenon_Hc6 zenon_H73 zenon_Hc7 zenon_Hc5.
% 10.36/10.50 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.36/10.50 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.36/10.50 apply (zenon_L943_); trivial.
% 10.36/10.50 apply (zenon_L941_); trivial.
% 10.36/10.50 apply (zenon_L88_); trivial.
% 10.36/10.50 (* end of lemma zenon_L975_ *)
% 10.36/10.50 assert (zenon_L976_ : ((op (e2) (e0)) = (e0)) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (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 (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (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 (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 (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (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)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((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))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 10.36/10.50 do 0 intro. intros zenon_H73 zenon_H191 zenon_Haf zenon_H192 zenon_He8 zenon_H12c zenon_H173 zenon_H174 zenon_H11b zenon_H184 zenon_H90 zenon_H110 zenon_H200 zenon_H7a zenon_H1f zenon_H11d zenon_H1af zenon_H233 zenon_H16f zenon_H1bc zenon_H195 zenon_H204 zenon_H168 zenon_H58 zenon_Hab zenon_H198 zenon_H8c zenon_Hda zenon_Hce zenon_H157 zenon_H1ba zenon_H53 zenon_Hb0 zenon_H1fb zenon_H112 zenon_H150 zenon_H86 zenon_Hbb zenon_H151 zenon_H145 zenon_H7d zenon_H128 zenon_H155 zenon_H12f zenon_H205 zenon_H18d zenon_H156 zenon_H4a zenon_H165 zenon_H26 zenon_Hf8 zenon_H237 zenon_H64 zenon_H187 zenon_H3c zenon_Hc7 zenon_Hc5 zenon_Hd3 zenon_H56 zenon_H27 zenon_He7 zenon_H95 zenon_H4c zenon_H17a zenon_H84 zenon_Hc0 zenon_H5e zenon_H44 zenon_H35 zenon_H181 zenon_H42 zenon_Hd2 zenon_H91 zenon_H17c zenon_H9a.
% 10.36/10.50 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H76 | zenon_intro zenon_H92 ].
% 10.36/10.50 apply (zenon_L165_); trivial.
% 10.36/10.50 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H77 | zenon_intro zenon_H93 ].
% 10.36/10.50 apply (zenon_L957_); trivial.
% 10.36/10.50 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H94 | zenon_intro zenon_H8a ].
% 10.36/10.50 exact (zenon_H91 zenon_H94).
% 10.36/10.50 apply (zenon_L166_); trivial.
% 10.36/10.50 (* end of lemma zenon_L976_ *)
% 10.36/10.50 assert (zenon_L977_ : (~((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)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (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 (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (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 (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 (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (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)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((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))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e1))) -> (~((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))))) -> False).
% 10.36/10.50 do 0 intro. intros zenon_H17c zenon_H12c zenon_H173 zenon_H174 zenon_H11b zenon_H184 zenon_H90 zenon_H110 zenon_H200 zenon_H7a zenon_H1f zenon_H11d zenon_H1af zenon_H233 zenon_H16f zenon_H1bc zenon_H195 zenon_H204 zenon_H168 zenon_H58 zenon_Hab zenon_H198 zenon_H8c zenon_Hda zenon_Hce zenon_H157 zenon_H1ba zenon_H53 zenon_Hb0 zenon_H1fb zenon_H112 zenon_H150 zenon_H86 zenon_Hbb zenon_H151 zenon_H145 zenon_H7d zenon_H128 zenon_H155 zenon_H12f zenon_H205 zenon_H18d zenon_H156 zenon_H4a zenon_H165 zenon_H26 zenon_Hf8 zenon_H237 zenon_H64 zenon_H187 zenon_H3c zenon_Hc7 zenon_Hc5 zenon_Hd3 zenon_H56 zenon_H27 zenon_He7 zenon_H95 zenon_H4c zenon_H17a zenon_H84 zenon_Hc0 zenon_H44 zenon_H35 zenon_H181 zenon_H42 zenon_Hd2 zenon_H73 zenon_H5e zenon_He8 zenon_H192 zenon_Haf zenon_H191.
% 10.36/10.50 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.36/10.50 apply (zenon_L190_); trivial.
% 10.36/10.50 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.36/10.50 apply (zenon_L976_); trivial.
% 10.36/10.50 apply (zenon_L941_); trivial.
% 10.36/10.50 (* end of lemma zenon_L977_ *)
% 10.36/10.50 assert (zenon_L978_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> ((op (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))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> False).
% 10.36/10.50 do 0 intro. intros zenon_Hd2 zenon_H27 zenon_H35 zenon_H15a zenon_Hce zenon_Hda zenon_H95 zenon_H53 zenon_H4c zenon_H28 zenon_Hdd zenon_Hc6 zenon_H73 zenon_H91 zenon_Hc7 zenon_Hc5.
% 10.36/10.50 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.36/10.50 apply (zenon_L43_); trivial.
% 10.36/10.50 apply (zenon_L275_); trivial.
% 10.36/10.50 (* end of lemma zenon_L978_ *)
% 10.36/10.50 assert (zenon_L979_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (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)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (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 (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((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) (e0)) = (op (e0) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (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)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> False).
% 10.36/10.50 do 0 intro. intros zenon_H12c zenon_H173 zenon_H174 zenon_H11b zenon_Hc0 zenon_H184 zenon_H90 zenon_H110 zenon_H5e zenon_H200 zenon_H64 zenon_H7a zenon_H3c zenon_H1f zenon_H11d zenon_H1af zenon_H233 zenon_H16f zenon_H1bc zenon_H195 zenon_H204 zenon_H168 zenon_H58 zenon_Hab zenon_H198 zenon_H8c zenon_H157 zenon_H1ba zenon_H44 zenon_Hb0 zenon_H1fb zenon_H112 zenon_H150 zenon_H86 zenon_Hbb zenon_H151 zenon_H145 zenon_H7d zenon_H128 zenon_H155 zenon_H12f zenon_H205 zenon_H18d zenon_H156 zenon_H4a zenon_H181 zenon_H165 zenon_H26 zenon_Hf8 zenon_H237 zenon_Hc5 zenon_Hc7 zenon_H73 zenon_Hc6 zenon_Hdd zenon_H28 zenon_H4c zenon_H53 zenon_H95 zenon_Hda zenon_Hce zenon_H15a zenon_H35 zenon_H27 zenon_Hd2.
% 10.36/10.50 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.36/10.50 apply (zenon_L978_); trivial.
% 10.36/10.50 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.36/10.50 apply (zenon_L940_); trivial.
% 10.36/10.50 apply (zenon_L275_); trivial.
% 10.36/10.50 (* end of lemma zenon_L979_ *)
% 10.36/10.50 assert (zenon_L980_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (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)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((e1) = (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 (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((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) (e0)) = (op (e0) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> (~((e2) = (e3))) -> (~((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)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> False).
% 10.36/10.50 do 0 intro. intros zenon_H12c zenon_H173 zenon_H174 zenon_H11b zenon_Hc0 zenon_H184 zenon_H90 zenon_H110 zenon_H5e zenon_H200 zenon_H64 zenon_H7a zenon_H3c zenon_H1f zenon_H11d zenon_H1af zenon_H233 zenon_H16f zenon_H1bc zenon_H195 zenon_H204 zenon_H168 zenon_H58 zenon_Hab zenon_H4c zenon_H35 zenon_H8c zenon_Hda zenon_Hce zenon_H157 zenon_H1ba zenon_H44 zenon_Hb0 zenon_H1fb zenon_H112 zenon_H150 zenon_Hbb zenon_H151 zenon_H145 zenon_H7d zenon_H128 zenon_H155 zenon_H12f zenon_H205 zenon_H18d zenon_H156 zenon_H4a zenon_H181 zenon_H165 zenon_H26 zenon_Hf8 zenon_H237 zenon_H95 zenon_H53 zenon_Hc5 zenon_Hc7 zenon_H73 zenon_Hc6 zenon_H18a zenon_H84 zenon_H86 zenon_H17c zenon_H15a zenon_H198 zenon_H43 zenon_H187 zenon_Hd2.
% 10.36/10.50 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.36/10.50 apply (zenon_L847_); trivial.
% 10.36/10.50 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.36/10.50 apply (zenon_L940_); trivial.
% 10.36/10.50 apply (zenon_L426_); trivial.
% 10.36/10.50 (* end of lemma zenon_L980_ *)
% 10.36/10.50 assert (zenon_L981_ : (~((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)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (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 (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (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 (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 (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (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)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((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))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((op (e0) (e3)) = (e0)) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> False).
% 10.36/10.50 do 0 intro. intros zenon_H17c zenon_H12c zenon_H173 zenon_H174 zenon_H11b zenon_H184 zenon_H90 zenon_H110 zenon_H200 zenon_H7a zenon_H1f zenon_H11d zenon_H1af zenon_H233 zenon_H16f zenon_H1bc zenon_H195 zenon_H204 zenon_H168 zenon_H58 zenon_Hab zenon_H198 zenon_H8c zenon_Hda zenon_Hce zenon_H157 zenon_H1ba zenon_H53 zenon_Hb0 zenon_H1fb zenon_H112 zenon_H150 zenon_H86 zenon_Hbb zenon_H151 zenon_H145 zenon_H7d zenon_H128 zenon_H155 zenon_H12f zenon_H205 zenon_H18d zenon_H156 zenon_H4a zenon_H165 zenon_H26 zenon_Hf8 zenon_H237 zenon_H64 zenon_H187 zenon_H3c zenon_Hc7 zenon_Hc5 zenon_Hd3 zenon_H56 zenon_H27 zenon_He7 zenon_H95 zenon_H4c zenon_H17a zenon_H84 zenon_Hc0 zenon_H44 zenon_H35 zenon_H181 zenon_H42 zenon_Hd2 zenon_H73 zenon_H5e zenon_Haf zenon_H191 zenon_H43 zenon_H18a zenon_Hc6 zenon_H1ef.
% 10.36/10.50 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.36/10.50 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.36/10.50 apply (zenon_L977_); trivial.
% 10.36/10.50 apply (zenon_L968_); trivial.
% 10.36/10.50 apply (zenon_L980_); trivial.
% 10.36/10.50 (* end of lemma zenon_L981_ *)
% 10.36/10.50 assert (zenon_L982_ : (~((op (e0) (e0)) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((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)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (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) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((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) (e0)) = (op (e0) (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((e0) = (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)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> False).
% 10.36/10.51 do 0 intro. intros zenon_H27 zenon_H68 zenon_H97 zenon_H84 zenon_H28 zenon_H42 zenon_H53 zenon_H73 zenon_H95 zenon_Hb8 zenon_H237 zenon_Hf8 zenon_H26 zenon_H165 zenon_H181 zenon_H4a zenon_H156 zenon_Hd2 zenon_H18d zenon_H205 zenon_H12f zenon_H155 zenon_H128 zenon_H7d zenon_H145 zenon_H151 zenon_Hbb zenon_H86 zenon_H150 zenon_H112 zenon_Hc5 zenon_H1fb zenon_Hc7 zenon_Hb0 zenon_H44 zenon_H1ba zenon_H157 zenon_Hce zenon_Hda zenon_H8c zenon_H35 zenon_H198 zenon_H4c zenon_Hab zenon_H58 zenon_H168 zenon_H204 zenon_H195 zenon_H1bc zenon_H16f zenon_H233 zenon_H1af zenon_H11d zenon_H1f zenon_H3c zenon_H7a zenon_H64 zenon_H200 zenon_H5e zenon_H110 zenon_H90 zenon_H184 zenon_Hc0 zenon_H11b zenon_H174 zenon_H173 zenon_H12c.
% 10.36/10.51 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.36/10.51 apply (zenon_L940_); trivial.
% 10.36/10.51 apply (zenon_L171_); trivial.
% 10.36/10.51 (* end of lemma zenon_L982_ *)
% 10.36/10.51 assert (zenon_L983_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (((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))) -> (~((e0) = (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)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (op (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) (e2)) = (e1)))\/((op (e2) (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) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((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) (e0)) = (op (e0) (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((e0) = (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)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> False).
% 10.36/10.51 do 0 intro. intros zenon_Hd2 zenon_H27 zenon_H44 zenon_H68 zenon_H97 zenon_H84 zenon_H7a zenon_H95 zenon_H53 zenon_H181 zenon_H42 zenon_Hc6 zenon_H73 zenon_Hc7 zenon_Hc5 zenon_H237 zenon_Hf8 zenon_H26 zenon_H165 zenon_H4a zenon_H156 zenon_H18d zenon_H205 zenon_H12f zenon_H155 zenon_H128 zenon_H7d zenon_H145 zenon_H151 zenon_Hbb zenon_H86 zenon_H150 zenon_H112 zenon_H1fb zenon_Hb0 zenon_H1ba zenon_H157 zenon_Hce zenon_Hda zenon_H8c zenon_H35 zenon_H198 zenon_H4c zenon_Hab zenon_H58 zenon_H168 zenon_H204 zenon_H195 zenon_H1bc zenon_H16f zenon_H233 zenon_H1af zenon_H11d zenon_H1f zenon_H3c zenon_H64 zenon_H200 zenon_H5e zenon_H110 zenon_H90 zenon_H184 zenon_Hc0 zenon_H11b zenon_H174 zenon_H173 zenon_H12c.
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.36/10.51 apply (zenon_L172_); trivial.
% 10.36/10.51 apply (zenon_L982_); trivial.
% 10.36/10.51 apply (zenon_L85_); trivial.
% 10.36/10.51 (* end of lemma zenon_L983_ *)
% 10.36/10.51 assert (zenon_L984_ : (~((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((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) (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 (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (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)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (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) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (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) = (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 (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (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) (e1)) = (e1)) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> (((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))))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> False).
% 10.36/10.51 do 0 intro. intros zenon_H143 zenon_H25 zenon_H18d zenon_Hd2 zenon_H17a zenon_H157 zenon_H27 zenon_H44 zenon_H97 zenon_Haf zenon_H184 zenon_Hc0 zenon_H5e zenon_H4c zenon_H8c zenon_H17c zenon_H187 zenon_H18a zenon_H86 zenon_H7a zenon_H7d zenon_H90 zenon_Hde zenon_H95 zenon_H53 zenon_H28 zenon_H181 zenon_H42 zenon_H12c zenon_H173 zenon_H174 zenon_H11b zenon_H110 zenon_H200 zenon_H64 zenon_H3c zenon_H1f zenon_H11d zenon_H1af zenon_H233 zenon_H16f zenon_H1bc zenon_H195 zenon_H204 zenon_H168 zenon_H58 zenon_Hab zenon_H198 zenon_H35 zenon_Hda zenon_Hce zenon_H1ba zenon_Hb0 zenon_H1fb zenon_H112 zenon_H150 zenon_Hbb zenon_H151 zenon_H145 zenon_H128 zenon_H155 zenon_H12f zenon_H205 zenon_H156 zenon_H4a zenon_H165 zenon_H26 zenon_Hf8 zenon_H237 zenon_Hc6 zenon_H73 zenon_Hc7 zenon_Hc5 zenon_H1ef zenon_H191 zenon_He7 zenon_Hd3 zenon_H1c3 zenon_H1c0 zenon_Hdd zenon_He3 zenon_H1e2 zenon_H1d zenon_H56 zenon_He8 zenon_H1b4 zenon_H177 zenon_H14d.
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.36/10.51 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.36/10.51 apply (zenon_L972_); trivial.
% 10.36/10.51 exact (zenon_H143 zenon_Hed).
% 10.36/10.51 apply (zenon_L941_); trivial.
% 10.36/10.51 apply (zenon_L88_); trivial.
% 10.36/10.51 (* end of lemma zenon_L984_ *)
% 10.36/10.51 assert (zenon_L985_ : (~((op (e3) (e2)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (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 (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (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)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (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) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((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) (e0)) = (op (e0) (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((e0) = (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)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> False).
% 10.36/10.51 do 0 intro. intros zenon_H143 zenon_H7d zenon_H7e zenon_H43 zenon_H7a zenon_Hd2 zenon_H187 zenon_H11d zenon_H1d zenon_H17c zenon_H86 zenon_H18a zenon_Hc6 zenon_H73 zenon_Hc7 zenon_Hc5 zenon_H56 zenon_H42 zenon_He8 zenon_He7 zenon_H27 zenon_H53 zenon_H95 zenon_H237 zenon_Hf8 zenon_H26 zenon_H165 zenon_H181 zenon_H4a zenon_H156 zenon_H18d zenon_H205 zenon_H12f zenon_H155 zenon_H128 zenon_H145 zenon_H151 zenon_Hbb zenon_H150 zenon_H112 zenon_H1fb zenon_Hb0 zenon_H44 zenon_H1ba zenon_H157 zenon_Hce zenon_Hda zenon_H8c zenon_H35 zenon_H198 zenon_H4c zenon_Hab zenon_H58 zenon_H168 zenon_H204 zenon_H195 zenon_H1bc zenon_H16f zenon_H233 zenon_H1af zenon_H1f zenon_H3c zenon_H64 zenon_H200 zenon_H5e zenon_H110 zenon_H90 zenon_H184 zenon_Hc0 zenon_H11b zenon_H174 zenon_H173 zenon_H12c.
% 10.36/10.51 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.36/10.51 apply (zenon_L969_); trivial.
% 10.36/10.51 exact (zenon_H143 zenon_Hed).
% 10.36/10.51 (* end of lemma zenon_L985_ *)
% 10.36/10.51 assert (zenon_L986_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e0))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e1)) = (e3)) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> False).
% 10.36/10.51 do 0 intro. intros zenon_Hf8 zenon_H143 zenon_H56 zenon_H195 zenon_H1d zenon_H5e zenon_H73 zenon_H14d zenon_H8d zenon_H35 zenon_H95 zenon_H44 zenon_H177 zenon_Hbd zenon_H53 zenon_H1b4.
% 10.36/10.51 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.36/10.51 apply (zenon_L970_); trivial.
% 10.36/10.51 exact (zenon_H143 zenon_Hed).
% 10.36/10.51 (* end of lemma zenon_L986_ *)
% 10.36/10.51 assert (zenon_L987_ : (((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))))) -> (((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 (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (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)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (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)))) -> (~((e1) = (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 (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((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) (e0)) = (op (e0) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (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 (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((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)) = (e3))) -> False).
% 10.36/10.51 do 0 intro. intros zenon_H1b4 zenon_H177 zenon_H14d zenon_H12c zenon_H173 zenon_H174 zenon_H11b zenon_Hc0 zenon_H184 zenon_H90 zenon_H110 zenon_H5e zenon_H200 zenon_H64 zenon_H3c zenon_H1f zenon_H1af zenon_H233 zenon_H16f zenon_H1bc zenon_H195 zenon_H204 zenon_H168 zenon_H58 zenon_Hab zenon_H4c zenon_H198 zenon_H35 zenon_H8c zenon_Hda zenon_Hce zenon_H157 zenon_H1ba zenon_H44 zenon_Hb0 zenon_H1fb zenon_H112 zenon_H150 zenon_Hbb zenon_H151 zenon_H145 zenon_H128 zenon_H155 zenon_H12f zenon_H205 zenon_H18d zenon_H156 zenon_H4a zenon_H181 zenon_H165 zenon_H26 zenon_Hf8 zenon_H237 zenon_H95 zenon_H53 zenon_H27 zenon_He7 zenon_H42 zenon_H56 zenon_Hc5 zenon_Hc7 zenon_H73 zenon_Hc6 zenon_H18a zenon_H86 zenon_H17c zenon_H1d zenon_H11d zenon_H187 zenon_Hd2 zenon_H7a zenon_H43 zenon_H7d zenon_H143.
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.36/10.51 apply (zenon_L985_); trivial.
% 10.36/10.51 apply (zenon_L986_); trivial.
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.36/10.51 apply (zenon_L985_); trivial.
% 10.36/10.51 apply (zenon_L41_); trivial.
% 10.36/10.51 apply (zenon_L325_); trivial.
% 10.36/10.51 (* end of lemma zenon_L987_ *)
% 10.36/10.51 assert (zenon_L988_ : (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e0)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (((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) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((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) (e0)) = (op (e0) (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (~((e2) = (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) (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)) = (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) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (~((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 (e1) (e1)) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> False).
% 10.36/10.51 do 0 intro. intros zenon_H1ba zenon_H73 zenon_H14d zenon_H177 zenon_H1b4 zenon_H1e2 zenon_He3 zenon_Hdd zenon_H1c0 zenon_H1c3 zenon_Hd3 zenon_He7 zenon_H191 zenon_H1ef zenon_Hc5 zenon_Hc7 zenon_Hc6 zenon_H237 zenon_Hf8 zenon_H26 zenon_H165 zenon_H4a zenon_H156 zenon_H205 zenon_H12f zenon_H155 zenon_H128 zenon_H145 zenon_H151 zenon_Hbb zenon_H150 zenon_H112 zenon_H1fb zenon_Hb0 zenon_Hce zenon_Hda zenon_H35 zenon_H198 zenon_Hab zenon_H58 zenon_H168 zenon_H204 zenon_H195 zenon_H1bc zenon_H16f zenon_H233 zenon_H1af zenon_H11d zenon_H1f zenon_H3c zenon_H64 zenon_H200 zenon_H110 zenon_H11b zenon_H174 zenon_H173 zenon_H12c zenon_H42 zenon_H181 zenon_H53 zenon_H95 zenon_Hde zenon_H90 zenon_H7d zenon_H7a zenon_H86 zenon_H18a zenon_H187 zenon_H17c zenon_H8c zenon_H4c zenon_H5e zenon_Hc0 zenon_H184 zenon_Haf zenon_H97 zenon_H44 zenon_H27 zenon_H157 zenon_H17a zenon_Hd2 zenon_H18d.
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H7f | zenon_intro zenon_H143 ].
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.36/10.51 apply (zenon_L216_); trivial.
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.36/10.51 apply (zenon_L973_); trivial.
% 10.36/10.51 apply (zenon_L325_); trivial.
% 10.36/10.51 apply (zenon_L974_); trivial.
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.36/10.51 apply (zenon_L975_); trivial.
% 10.36/10.51 apply (zenon_L85_); trivial.
% 10.36/10.51 apply (zenon_L216_); trivial.
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.36/10.51 exact (zenon_Hc7 zenon_H3a).
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.36/10.51 apply (zenon_L977_); trivial.
% 10.36/10.51 apply (zenon_L973_); trivial.
% 10.36/10.51 apply (zenon_L979_); trivial.
% 10.36/10.51 apply (zenon_L981_); trivial.
% 10.36/10.51 apply (zenon_L983_); trivial.
% 10.36/10.51 apply (zenon_L216_); trivial.
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.36/10.51 apply (zenon_L216_); trivial.
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.36/10.51 apply (zenon_L984_); trivial.
% 10.36/10.51 apply (zenon_L979_); trivial.
% 10.36/10.51 apply (zenon_L987_); trivial.
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.36/10.51 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.36/10.51 apply (zenon_L43_); trivial.
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.36/10.51 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.36/10.51 apply (zenon_L175_); trivial.
% 10.36/10.51 exact (zenon_H143 zenon_Hed).
% 10.36/10.51 apply (zenon_L942_); trivial.
% 10.36/10.51 apply (zenon_L941_); trivial.
% 10.36/10.51 apply (zenon_L88_); trivial.
% 10.36/10.51 apply (zenon_L85_); trivial.
% 10.36/10.51 apply (zenon_L216_); trivial.
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.36/10.51 exact (zenon_Hc7 zenon_H3a).
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.36/10.51 apply (zenon_L977_); trivial.
% 10.36/10.51 apply (zenon_L984_); trivial.
% 10.36/10.51 apply (zenon_L979_); trivial.
% 10.36/10.51 apply (zenon_L981_); trivial.
% 10.36/10.51 apply (zenon_L983_); trivial.
% 10.36/10.51 apply (zenon_L216_); trivial.
% 10.36/10.51 (* end of lemma zenon_L988_ *)
% 10.36/10.51 assert (zenon_L989_ : ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e1) (e3)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> False).
% 10.36/10.51 do 0 intro. intros zenon_H157 zenon_H77 zenon_H35 zenon_H145 zenon_H9a zenon_H5e zenon_H155 zenon_Hc7 zenon_Hc5 zenon_He8 zenon_H2a zenon_H12f zenon_H1b7 zenon_H84 zenon_H7a zenon_H181 zenon_H187 zenon_H58 zenon_Hd2.
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.36/10.51 apply (zenon_L215_); trivial.
% 10.36/10.51 apply (zenon_L203_); trivial.
% 10.36/10.51 (* end of lemma zenon_L989_ *)
% 10.36/10.51 assert (zenon_L990_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (op (e3) (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)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (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)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> False).
% 10.36/10.51 do 0 intro. intros zenon_H238 zenon_H86 zenon_H17c zenon_H198 zenon_H18a zenon_Hda zenon_H28 zenon_H4c zenon_H95 zenon_He3 zenon_H1e2 zenon_Hb1 zenon_H1ba zenon_Hb0 zenon_H192 zenon_H239 zenon_H157 zenon_H77 zenon_H35 zenon_H145 zenon_H5e zenon_H155 zenon_Hc7 zenon_Hc5 zenon_He8 zenon_H2a zenon_H12f zenon_H1b7 zenon_H84 zenon_H7a zenon_H181 zenon_H187 zenon_H58 zenon_Hd2.
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H15a | zenon_intro zenon_H23a ].
% 10.36/10.51 apply (zenon_L946_); trivial.
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1d | zenon_intro zenon_H23b ].
% 10.36/10.51 exact (zenon_H192 zenon_H1d).
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H100 | zenon_intro zenon_H9a ].
% 10.36/10.51 exact (zenon_H239 zenon_H100).
% 10.36/10.51 apply (zenon_L989_); trivial.
% 10.36/10.51 (* end of lemma zenon_L990_ *)
% 10.36/10.51 assert (zenon_L991_ : ((~((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 (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (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)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> False).
% 10.36/10.51 do 0 intro. intros zenon_H18d zenon_Hb0 zenon_Hda zenon_He3 zenon_H95 zenon_H4c zenon_H28 zenon_H35 zenon_H18a zenon_H86 zenon_H198 zenon_H17c zenon_H1e2 zenon_H5e zenon_H2a zenon_H1ba zenon_H192 zenon_H239 zenon_H157 zenon_H145 zenon_H155 zenon_He8 zenon_H12f zenon_H1b7 zenon_H181 zenon_H187 zenon_H58 zenon_Hd2 zenon_H238 zenon_H56 zenon_Hd3 zenon_H77 zenon_Hc5 zenon_Hc8 zenon_Hc7 zenon_H3c zenon_Hb1 zenon_H7d zenon_H7f zenon_H7a zenon_H8d zenon_H64.
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.36/10.51 apply (zenon_L945_); trivial.
% 10.36/10.51 apply (zenon_L990_); trivial.
% 10.36/10.51 (* end of lemma zenon_L991_ *)
% 10.36/10.51 assert (zenon_L992_ : ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((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))))) -> False).
% 10.36/10.51 do 0 intro. intros zenon_H18d zenon_Hbc zenon_He3 zenon_H12f zenon_H2a zenon_He8 zenon_Hc5 zenon_Hc8 zenon_Hc7 zenon_H91 zenon_H155 zenon_H7d zenon_H7f zenon_H7e zenon_H86 zenon_H145.
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.36/10.51 apply (zenon_L119_); trivial.
% 10.36/10.51 apply (zenon_L266_); trivial.
% 10.36/10.51 (* end of lemma zenon_L992_ *)
% 10.36/10.51 assert (zenon_L993_ : ((~((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 (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e2) (e2)) = (e0))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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 (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (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)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> (~((e1) = (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))))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> False).
% 10.36/10.51 do 0 intro. intros zenon_H18d zenon_Hb0 zenon_Hda zenon_He3 zenon_H28 zenon_Hc7 zenon_H18a zenon_H86 zenon_H198 zenon_H17c zenon_H1e2 zenon_Hb1 zenon_H2a zenon_H1ba zenon_H192 zenon_H239 zenon_H157 zenon_H145 zenon_H155 zenon_Hc5 zenon_H12f zenon_H1b7 zenon_H187 zenon_H58 zenon_Hd2 zenon_H238 zenon_H56 zenon_Hd3 zenon_H77 zenon_H44 zenon_He8 zenon_H5e zenon_Hc0 zenon_He7 zenon_H53 zenon_H35 zenon_H181 zenon_Hd0 zenon_H42 zenon_H4c zenon_H95 zenon_H27 zenon_H7d zenon_H7f zenon_H7a zenon_H8d zenon_H64.
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.36/10.51 exact (zenon_H56 zenon_H2c).
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.36/10.51 apply (zenon_L196_); trivial.
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.36/10.51 apply (zenon_L201_); trivial.
% 10.36/10.51 apply (zenon_L87_); trivial.
% 10.36/10.51 apply (zenon_L990_); trivial.
% 10.36/10.51 (* end of lemma zenon_L993_ *)
% 10.36/10.51 assert (zenon_L994_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 10.36/10.51 do 0 intro. intros zenon_H238 zenon_H35 zenon_H6a zenon_H192 zenon_H239 zenon_H62 zenon_H187.
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H15a | zenon_intro zenon_H23a ].
% 10.36/10.51 apply (zenon_L238_); trivial.
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1d | zenon_intro zenon_H23b ].
% 10.36/10.51 exact (zenon_H192 zenon_H1d).
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H100 | zenon_intro zenon_H9a ].
% 10.36/10.51 exact (zenon_H239 zenon_H100).
% 10.36/10.51 apply (zenon_L202_); trivial.
% 10.36/10.51 (* end of lemma zenon_L994_ *)
% 10.36/10.51 assert (zenon_L995_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e1)) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> False).
% 10.36/10.51 do 0 intro. intros zenon_Hdd zenon_H27 zenon_H187 zenon_H62 zenon_H239 zenon_H192 zenon_H238 zenon_H76 zenon_H35 zenon_H95 zenon_Hbc.
% 10.36/10.51 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hdf ].
% 10.36/10.51 exact (zenon_H27 zenon_H32).
% 10.36/10.51 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H6a | zenon_intro zenon_He0 ].
% 10.36/10.51 apply (zenon_L994_); trivial.
% 10.36/10.51 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd8 ].
% 10.36/10.51 apply (zenon_L47_); trivial.
% 10.36/10.51 apply (zenon_L51_); trivial.
% 10.36/10.51 (* end of lemma zenon_L995_ *)
% 10.36/10.51 assert (zenon_L996_ : ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((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))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e0)) = (op (e0) (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) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (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)) = (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))))) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (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 (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (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)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (op (e2) (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 (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (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) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> False).
% 10.36/10.51 do 0 intro. intros zenon_H1ef zenon_H150 zenon_Hbb zenon_H151 zenon_H64 zenon_H7a zenon_H7f zenon_H7d zenon_H3c zenon_Hc7 zenon_Hc5 zenon_H77 zenon_Hd3 zenon_H56 zenon_H238 zenon_Hd2 zenon_H58 zenon_H187 zenon_H181 zenon_H1b7 zenon_H12f zenon_H155 zenon_H145 zenon_H157 zenon_H239 zenon_H1ba zenon_H2a zenon_H5e zenon_H1e2 zenon_H17c zenon_H198 zenon_H86 zenon_H18a zenon_H35 zenon_H4c zenon_H95 zenon_He3 zenon_Hda zenon_Hb0 zenon_H18d zenon_H1b4 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_Hce zenon_Hdd zenon_H97 zenon_H27 zenon_H42 zenon_H53 zenon_He7 zenon_Hc0 zenon_H44 zenon_H237 zenon_Hf8 zenon_H26 zenon_H165 zenon_H4a zenon_H156 zenon_H205 zenon_H128 zenon_H112 zenon_H1fb zenon_H8c zenon_Hab zenon_H168 zenon_H204 zenon_H195 zenon_H16f zenon_H233 zenon_H1af zenon_H11d zenon_H1f zenon_H200 zenon_H110 zenon_H90 zenon_H184 zenon_H11b zenon_H174 zenon_H173 zenon_H12c.
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.36/10.51 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.36/10.51 apply (zenon_L991_); trivial.
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.36/10.51 apply (zenon_L992_); trivial.
% 10.36/10.51 apply (zenon_L41_); trivial.
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.36/10.51 apply (zenon_L993_); trivial.
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.36/10.51 exact (zenon_H56 zenon_H2c).
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.36/10.51 apply (zenon_L196_); trivial.
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.36/10.51 apply (zenon_L201_); trivial.
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 10.36/10.51 exact (zenon_H56 zenon_H2c).
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 10.36/10.51 apply (zenon_L951_); trivial.
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 10.36/10.51 apply (zenon_L995_); trivial.
% 10.36/10.51 apply (zenon_L139_); trivial.
% 10.36/10.51 apply (zenon_L203_); trivial.
% 10.36/10.51 apply (zenon_L952_); trivial.
% 10.36/10.51 apply (zenon_L78_); trivial.
% 10.36/10.51 apply (zenon_L953_); trivial.
% 10.36/10.51 apply (zenon_L213_); trivial.
% 10.36/10.51 (* end of lemma zenon_L996_ *)
% 10.36/10.51 assert (zenon_L997_ : (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (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) (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) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (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 (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e2))) -> (~((op (e2) (e2)) = (op (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 (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((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) (e0)) = (op (e0) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((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 (e3) (e0)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 10.36/10.51 do 0 intro. intros zenon_H56 zenon_Hd3 zenon_H51 zenon_Hdd zenon_H27 zenon_H187 zenon_H239 zenon_H192 zenon_H238 zenon_H12c zenon_H173 zenon_H174 zenon_H11b zenon_Hc0 zenon_H184 zenon_H90 zenon_H110 zenon_H200 zenon_H64 zenon_H7a zenon_H3c zenon_H1f zenon_H11d zenon_H1af zenon_H233 zenon_H16f zenon_H1bc zenon_H195 zenon_H204 zenon_H168 zenon_H58 zenon_Hab zenon_H8c zenon_Hce zenon_H157 zenon_H1ba zenon_H44 zenon_H1fb zenon_Hc5 zenon_H112 zenon_H150 zenon_Hbb zenon_H151 zenon_H145 zenon_H7d zenon_H128 zenon_H155 zenon_H12f zenon_H205 zenon_H18d zenon_Hd2 zenon_H156 zenon_H4a zenon_H181 zenon_H165 zenon_H26 zenon_Hf8 zenon_H237 zenon_Hb0 zenon_H53 zenon_H5e zenon_Hb1 zenon_H1e2 zenon_He3 zenon_H95 zenon_H4c zenon_H28 zenon_Hda zenon_H35 zenon_H77 zenon_Hc7 zenon_H18a zenon_H15a zenon_H198 zenon_H17c zenon_H84 zenon_H86.
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.36/10.51 exact (zenon_H56 zenon_H2c).
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.36/10.51 apply (zenon_L196_); trivial.
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.36/10.51 apply (zenon_L12_); trivial.
% 10.36/10.51 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hdf ].
% 10.36/10.51 exact (zenon_H27 zenon_H32).
% 10.36/10.51 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H6a | zenon_intro zenon_He0 ].
% 10.36/10.51 apply (zenon_L994_); trivial.
% 10.36/10.51 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd8 ].
% 10.36/10.51 apply (zenon_L952_); trivial.
% 10.36/10.51 apply (zenon_L831_); trivial.
% 10.36/10.51 (* end of lemma zenon_L997_ *)
% 10.36/10.51 assert (zenon_L998_ : ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e3) (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 (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (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)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (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) = (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 (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (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 (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((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) (e0)) = (op (e0) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (e0))) -> (((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))))) -> False).
% 10.36/10.51 do 0 intro. intros zenon_H1ef zenon_H1e2 zenon_H187 zenon_H43 zenon_H17c zenon_H84 zenon_H18a zenon_H12c zenon_H173 zenon_H174 zenon_H11b zenon_Hc0 zenon_H184 zenon_H90 zenon_H110 zenon_H5e zenon_H200 zenon_H64 zenon_H7a zenon_H3c zenon_H1f zenon_H11d zenon_H1af zenon_H233 zenon_H16f zenon_H1bc zenon_H195 zenon_H204 zenon_H168 zenon_H58 zenon_Hab zenon_H198 zenon_H35 zenon_H8c zenon_Hda zenon_Hce zenon_H157 zenon_H1ba zenon_H44 zenon_H53 zenon_Hb0 zenon_Hc7 zenon_H1fb zenon_Hc5 zenon_H112 zenon_H150 zenon_H86 zenon_Hbb zenon_H151 zenon_H145 zenon_H7d zenon_H128 zenon_H155 zenon_H12f zenon_H205 zenon_H18d zenon_Hd2 zenon_H156 zenon_H4a zenon_H181 zenon_H165 zenon_H26 zenon_Hf8 zenon_H237 zenon_H77 zenon_H4c zenon_H95 zenon_H239 zenon_Hd3 zenon_H56 zenon_H27 zenon_He7 zenon_H17a zenon_He8 zenon_H42 zenon_H238.
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H15a | zenon_intro zenon_H23a ].
% 10.36/10.51 apply (zenon_L959_); trivial.
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1d | zenon_intro zenon_H23b ].
% 10.36/10.51 exact (zenon_H192 zenon_H1d).
% 10.36/10.51 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H100 | zenon_intro zenon_H9a ].
% 10.36/10.51 exact (zenon_H239 zenon_H100).
% 10.36/10.51 apply (zenon_L956_); trivial.
% 10.36/10.52 apply (zenon_L78_); trivial.
% 10.36/10.52 (* end of lemma zenon_L998_ *)
% 10.36/10.52 assert (zenon_L999_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (e1))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e1)) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((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)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (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) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((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) (e0)) = (op (e0) (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((e0) = (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)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (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 (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> False).
% 10.36/10.52 do 0 intro. intros zenon_H238 zenon_H42 zenon_H17a zenon_He7 zenon_H27 zenon_H56 zenon_Hd3 zenon_H239 zenon_H95 zenon_H4c zenon_H77 zenon_H237 zenon_Hf8 zenon_H26 zenon_H165 zenon_H181 zenon_H4a zenon_H156 zenon_Hd2 zenon_H18d zenon_H205 zenon_H12f zenon_H155 zenon_H128 zenon_H7d zenon_H145 zenon_H151 zenon_Hbb zenon_H86 zenon_H150 zenon_H112 zenon_Hc5 zenon_H1fb zenon_Hc7 zenon_Hb0 zenon_H53 zenon_H44 zenon_H1ba zenon_H157 zenon_Hce zenon_Hda zenon_H8c zenon_H35 zenon_H198 zenon_Hab zenon_H58 zenon_H168 zenon_H204 zenon_H195 zenon_H1bc zenon_H16f zenon_H233 zenon_H1af zenon_H11d zenon_H1f zenon_H3c zenon_H7a zenon_H64 zenon_H200 zenon_H5e zenon_H110 zenon_H90 zenon_H184 zenon_Hc0 zenon_H11b zenon_H174 zenon_H173 zenon_H12c zenon_H18a zenon_H84 zenon_H17c zenon_H43 zenon_H187 zenon_H1e2 zenon_H1ef.
% 10.36/10.52 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.36/10.52 apply (zenon_L998_); trivial.
% 10.36/10.52 apply (zenon_L959_); trivial.
% 10.36/10.52 (* end of lemma zenon_L999_ *)
% 10.36/10.52 assert (zenon_L1000_ : (((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))) -> (~((op (e1) (e2)) = (e1))) -> (~((e0) = (e1))) -> ((op (e1) (e3)) = (e0)) -> False).
% 10.36/10.52 do 0 intro. intros zenon_H238 zenon_H4c zenon_H6c zenon_H192 zenon_H239 zenon_H5e zenon_H87.
% 10.36/10.52 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H15a | zenon_intro zenon_H23a ].
% 10.36/10.52 apply (zenon_L236_); trivial.
% 10.36/10.52 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1d | zenon_intro zenon_H23b ].
% 10.36/10.52 exact (zenon_H192 zenon_H1d).
% 10.36/10.52 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H100 | zenon_intro zenon_H9a ].
% 10.36/10.52 exact (zenon_H239 zenon_H100).
% 10.36/10.52 apply (zenon_L192_); trivial.
% 10.36/10.52 (* end of lemma zenon_L1000_ *)
% 10.36/10.52 assert (zenon_L1001_ : ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (e1))) -> ((op (e2) (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 (e1) (e0)) = (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)) = (e2))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((e2) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e3)) = (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))))) -> False).
% 10.36/10.52 do 0 intro. intros zenon_H156 zenon_H1ba zenon_H2a zenon_H5e zenon_H77 zenon_H1e2 zenon_H17c zenon_H198 zenon_H86 zenon_H18a zenon_Hc7 zenon_H35 zenon_H28 zenon_H4c zenon_H15a zenon_H95 zenon_He3 zenon_H84 zenon_Hda zenon_Hb0.
% 10.36/10.52 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.36/10.52 apply (zenon_L946_); trivial.
% 10.36/10.52 apply (zenon_L296_); trivial.
% 10.36/10.52 (* end of lemma zenon_L1001_ *)
% 10.36/10.52 assert (zenon_L1002_ : ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (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 (e2) (e0)) = (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 (e3) (e3)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((op (e2) (e1)) = (e1)) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e2)) = (e1))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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 (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 (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> False).
% 10.36/10.52 do 0 intro. intros zenon_H174 zenon_H26 zenon_H168 zenon_H156 zenon_Hce zenon_H1b4 zenon_H112 zenon_Hb0 zenon_Hda zenon_H84 zenon_He3 zenon_H95 zenon_H4c zenon_H35 zenon_Hc7 zenon_H18a zenon_H86 zenon_H198 zenon_H17c zenon_H1e2 zenon_H77 zenon_H5e zenon_H2a zenon_H1ba zenon_H239 zenon_H157 zenon_H145 zenon_H155 zenon_Hc5 zenon_H12f zenon_H1b7 zenon_H7a zenon_H181 zenon_H187 zenon_H58 zenon_Hd2 zenon_H238 zenon_H110 zenon_H1ef zenon_H4a.
% 10.36/10.52 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.36/10.52 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.36/10.52 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.36/10.52 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.36/10.52 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.36/10.52 apply (zenon_L990_); trivial.
% 10.36/10.52 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.36/10.52 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.36/10.52 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 10.36/10.52 exact (zenon_H56 zenon_H2c).
% 10.36/10.52 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 10.36/10.52 apply (zenon_L296_); trivial.
% 10.36/10.52 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 10.36/10.52 apply (zenon_L47_); trivial.
% 10.36/10.52 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdb ].
% 10.36/10.52 exact (zenon_H28 zenon_H31).
% 10.36/10.52 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H6c | zenon_intro zenon_Hdc ].
% 10.36/10.52 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H69 | zenon_intro zenon_H146 ].
% 10.36/10.52 apply (zenon_L100_); trivial.
% 10.36/10.52 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Heb | zenon_intro zenon_H147 ].
% 10.36/10.52 exact (zenon_He8 zenon_Heb).
% 10.36/10.52 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H101 | zenon_intro zenon_H87 ].
% 10.36/10.52 apply (zenon_L118_); trivial.
% 10.36/10.52 apply (zenon_L1000_); trivial.
% 10.36/10.52 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H74 | zenon_intro zenon_Hbc ].
% 10.36/10.52 apply (zenon_L155_); trivial.
% 10.36/10.52 apply (zenon_L139_); trivial.
% 10.36/10.52 apply (zenon_L44_); trivial.
% 10.36/10.52 apply (zenon_L79_); trivial.
% 10.36/10.52 apply (zenon_L78_); trivial.
% 10.36/10.52 apply (zenon_L1001_); trivial.
% 10.36/10.52 apply (zenon_L213_); trivial.
% 10.36/10.52 apply (zenon_L937_); trivial.
% 10.36/10.52 (* end of lemma zenon_L1002_ *)
% 10.36/10.52 assert (zenon_L1003_ : (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((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 (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (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) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (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)) = (op (e0) (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e3)) = (op (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 (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (e1))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (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) (e0)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (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))))) -> False).
% 10.36/10.52 do 0 intro. intros zenon_H1b7 zenon_H1b4 zenon_H1ef zenon_Hd2 zenon_H42 zenon_H181 zenon_H35 zenon_H44 zenon_H5e zenon_Hc0 zenon_H84 zenon_H17a zenon_H4c zenon_H95 zenon_He7 zenon_H27 zenon_Hd3 zenon_H77 zenon_Hc5 zenon_Hc7 zenon_H3c zenon_H187 zenon_H64 zenon_H237 zenon_Hf8 zenon_H26 zenon_H165 zenon_H4a zenon_H156 zenon_H18d zenon_H205 zenon_H12f zenon_H155 zenon_H128 zenon_H7d zenon_H145 zenon_H151 zenon_Hbb zenon_H86 zenon_H150 zenon_H112 zenon_H1fb zenon_Hb0 zenon_H53 zenon_H1ba zenon_H157 zenon_Hce zenon_Hda zenon_H8c zenon_H198 zenon_Hab zenon_H58 zenon_H168 zenon_H204 zenon_H195 zenon_H1bc zenon_H16f zenon_H233 zenon_H1af zenon_H11d zenon_H1f zenon_H7a zenon_H200 zenon_H110 zenon_H90 zenon_H184 zenon_H11b zenon_H174 zenon_H173 zenon_H12c zenon_H191 zenon_H239 zenon_H1ea zenon_Hdd zenon_H17c zenon_H18a zenon_He3 zenon_H238 zenon_H97 zenon_H1e2.
% 10.36/10.52 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.36/10.52 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.36/10.52 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.36/10.52 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.36/10.52 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.36/10.52 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.36/10.52 apply (zenon_L957_); trivial.
% 10.36/10.52 exact (zenon_H239 zenon_H100).
% 10.36/10.52 apply (zenon_L78_); trivial.
% 10.36/10.52 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.36/10.52 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.36/10.52 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.36/10.52 exact (zenon_H25 zenon_H2a).
% 10.36/10.52 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.36/10.52 apply (zenon_L963_); trivial.
% 10.36/10.52 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.36/10.52 apply (zenon_L997_); trivial.
% 10.36/10.52 apply (zenon_L999_); trivial.
% 10.36/10.52 apply (zenon_L952_); trivial.
% 10.36/10.52 apply (zenon_L325_); trivial.
% 10.36/10.52 apply (zenon_L999_); trivial.
% 10.36/10.52 apply (zenon_L963_); trivial.
% 10.36/10.52 apply (zenon_L1002_); trivial.
% 10.36/10.52 (* end of lemma zenon_L1003_ *)
% 10.36/10.52 assert (zenon_L1004_ : (~((op (e3) (e3)) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((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 (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (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) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (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)) = (op (e0) (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e3)) = (op (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 (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (e1))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (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) (e0)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (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))))) -> False).
% 10.36/10.52 do 0 intro. intros zenon_H7f zenon_H1c3 zenon_H1c0 zenon_H1b7 zenon_H1b4 zenon_H1ef zenon_Hd2 zenon_H42 zenon_H181 zenon_H35 zenon_H44 zenon_H5e zenon_Hc0 zenon_H17a zenon_H4c zenon_H95 zenon_He7 zenon_H27 zenon_Hd3 zenon_H77 zenon_Hc5 zenon_Hc7 zenon_H3c zenon_H187 zenon_H64 zenon_H237 zenon_Hf8 zenon_H26 zenon_H165 zenon_H4a zenon_H156 zenon_H18d zenon_H205 zenon_H12f zenon_H155 zenon_H128 zenon_H7d zenon_H145 zenon_H151 zenon_Hbb zenon_H86 zenon_H150 zenon_H112 zenon_H1fb zenon_Hb0 zenon_H53 zenon_H1ba zenon_H157 zenon_Hce zenon_Hda zenon_H8c zenon_H198 zenon_Hab zenon_H58 zenon_H168 zenon_H204 zenon_H195 zenon_H1bc zenon_H16f zenon_H233 zenon_H1af zenon_H11d zenon_H1f zenon_H7a zenon_H200 zenon_H110 zenon_H90 zenon_H184 zenon_H11b zenon_H174 zenon_H173 zenon_H12c zenon_H191 zenon_H239 zenon_H1ea zenon_Hdd zenon_H17c zenon_H18a zenon_He3 zenon_H238 zenon_H97 zenon_H1e2.
% 10.36/10.52 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.36/10.52 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.36/10.52 apply (zenon_L996_); trivial.
% 10.36/10.52 apply (zenon_L937_); trivial.
% 10.36/10.52 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.36/10.52 apply (zenon_L78_); trivial.
% 10.36/10.52 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.36/10.52 exact (zenon_Hc7 zenon_H3a).
% 10.36/10.52 apply (zenon_L1003_); trivial.
% 10.36/10.52 (* end of lemma zenon_L1004_ *)
% 10.36/10.52 assert (zenon_L1005_ : (~((op (e0) (e0)) = (e1))) -> ((op (e1) (e1)) = (e1)) -> ((op (e0) (e2)) = (e0)) -> ((op (e2) (e0)) = (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 (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (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 (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (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 (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (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 (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 (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (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)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e2) = (e3))) -> (~((e1) = (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))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> False).
% 10.36/10.52 do 0 intro. intros zenon_H56 zenon_H1d zenon_H51 zenon_H73 zenon_H1e2 zenon_H97 zenon_H238 zenon_He3 zenon_H18a zenon_H17c zenon_Hdd zenon_H1ea zenon_H239 zenon_H191 zenon_H12c zenon_H173 zenon_H174 zenon_H11b zenon_H184 zenon_H90 zenon_H110 zenon_H200 zenon_H7a zenon_H1f zenon_H11d zenon_H1af zenon_H233 zenon_H16f zenon_H1bc zenon_H195 zenon_H204 zenon_H168 zenon_H58 zenon_Hab zenon_H198 zenon_H8c zenon_Hda zenon_Hce zenon_H157 zenon_H1ba zenon_H53 zenon_Hb0 zenon_H1fb zenon_H112 zenon_H150 zenon_H86 zenon_Hbb zenon_H151 zenon_H145 zenon_H7d zenon_H128 zenon_H155 zenon_H12f zenon_H205 zenon_H18d zenon_H156 zenon_H4a zenon_H165 zenon_H26 zenon_Hf8 zenon_H237 zenon_H64 zenon_H187 zenon_H3c zenon_Hc7 zenon_Hc5 zenon_Hd3 zenon_H27 zenon_He7 zenon_H95 zenon_H4c zenon_H17a zenon_Hc0 zenon_H5e zenon_H44 zenon_H35 zenon_H42 zenon_Hd2 zenon_H1ef zenon_H1b4 zenon_H1b7 zenon_H1c0 zenon_H1c3 zenon_H7f zenon_H91 zenon_H181.
% 10.36/10.52 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.36/10.52 exact (zenon_H56 zenon_H2c).
% 10.36/10.52 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.36/10.52 apply (zenon_L1_); trivial.
% 10.36/10.52 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.36/10.52 apply (zenon_L12_); trivial.
% 10.36/10.52 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H76 | zenon_intro zenon_H92 ].
% 10.36/10.52 apply (zenon_L165_); trivial.
% 10.36/10.52 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H77 | zenon_intro zenon_H93 ].
% 10.36/10.52 apply (zenon_L1004_); trivial.
% 10.36/10.52 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H94 | zenon_intro zenon_H8a ].
% 10.36/10.52 exact (zenon_H91 zenon_H94).
% 10.36/10.52 apply (zenon_L258_); trivial.
% 10.36/10.52 (* end of lemma zenon_L1005_ *)
% 10.36/10.52 assert (zenon_L1006_ : (~((op (e0) (e0)) = (e0))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e0) (e0)) = (e3))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e2) (e2)) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (e1))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (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 (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((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 (e3) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (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 (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (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)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (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) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((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) (e0)) = (op (e0) (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((e0) = (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)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> False).
% 10.36/10.52 do 0 intro. intros zenon_H25 zenon_Hd0 zenon_H28 zenon_H84 zenon_H91 zenon_H1c3 zenon_H1c0 zenon_H1b7 zenon_H1ef zenon_H17a zenon_Hd3 zenon_H191 zenon_H239 zenon_H1ea zenon_Hdd zenon_He3 zenon_H238 zenon_H97 zenon_H1e2 zenon_H14d zenon_H177 zenon_H1b4 zenon_H7d zenon_H7f zenon_H7a zenon_Hd2 zenon_H187 zenon_H11d zenon_H1d zenon_H17c zenon_H86 zenon_H18a zenon_Hc6 zenon_H73 zenon_Hc7 zenon_Hc5 zenon_H56 zenon_H42 zenon_He7 zenon_H27 zenon_H53 zenon_H95 zenon_H237 zenon_Hf8 zenon_H26 zenon_H165 zenon_H181 zenon_H4a zenon_H156 zenon_H18d zenon_H205 zenon_H12f zenon_H155 zenon_H128 zenon_H145 zenon_H151 zenon_Hbb zenon_H150 zenon_H112 zenon_H1fb zenon_Hb0 zenon_H44 zenon_H1ba zenon_H157 zenon_Hce zenon_Hda zenon_H8c zenon_H35 zenon_H198 zenon_H4c zenon_Hab zenon_H58 zenon_H168 zenon_H204 zenon_H195 zenon_H1bc zenon_H16f zenon_H233 zenon_H1af zenon_H1f zenon_H3c zenon_H64 zenon_H200 zenon_H5e zenon_H110 zenon_H90 zenon_H184 zenon_Hc0 zenon_H11b zenon_H174 zenon_H173 zenon_H12c.
% 10.36/10.52 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.36/10.52 exact (zenon_H25 zenon_H2a).
% 10.36/10.52 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.36/10.52 apply (zenon_L171_); trivial.
% 10.36/10.52 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.36/10.52 apply (zenon_L1005_); trivial.
% 10.36/10.52 apply (zenon_L974_); trivial.
% 10.36/10.52 (* end of lemma zenon_L1006_ *)
% 10.36/10.52 assert (zenon_L1007_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (e0))) -> (((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)) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (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 (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e3)) = (op (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 (e1) (e3)))) -> (~((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)) = (e1))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e1) (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) (e0)) = (op (e1) (e3)))) -> (~((e1) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (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 (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (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) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (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) (e1)) = (op (e0) (e3)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> False).
% 10.36/10.52 do 0 intro. intros zenon_H14d zenon_H177 zenon_Hc6 zenon_H25 zenon_H42 zenon_H181 zenon_H28 zenon_H53 zenon_H95 zenon_Hde zenon_Hc1 zenon_H90 zenon_H7d zenon_H7f zenon_H7e zenon_H7a zenon_H86 zenon_H18a zenon_H187 zenon_H17c zenon_H8c zenon_H91 zenon_H4c zenon_H73 zenon_H5e zenon_Hc0 zenon_Hd0 zenon_H184 zenon_Haf zenon_H97 zenon_H44 zenon_H27 zenon_H1ea zenon_H191 zenon_H17a zenon_H1ef zenon_H150 zenon_Hbb zenon_H151 zenon_H64 zenon_H3c zenon_Hc7 zenon_Hc5 zenon_Hd3 zenon_H238 zenon_Hd2 zenon_H58 zenon_H1b7 zenon_H12f zenon_H155 zenon_H145 zenon_H157 zenon_H239 zenon_H1ba zenon_H1e2 zenon_H198 zenon_H35 zenon_He3 zenon_Hda zenon_Hb0 zenon_H18d zenon_H1b4 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_Hce zenon_Hdd zenon_He7 zenon_H237 zenon_Hf8 zenon_H26 zenon_H165 zenon_H4a zenon_H156 zenon_H205 zenon_H128 zenon_H112 zenon_H1fb zenon_Hab zenon_H168 zenon_H204 zenon_H195 zenon_H16f zenon_H233 zenon_H1af zenon_H11d zenon_H200 zenon_H110 zenon_H11b zenon_H174 zenon_H173 zenon_H12c zenon_H1d zenon_H1f zenon_H56.
% 10.36/10.52 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.36/10.52 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.36/10.52 exact (zenon_H25 zenon_H2a).
% 10.36/10.52 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.36/10.52 apply (zenon_L169_); trivial.
% 10.36/10.52 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.36/10.52 apply (zenon_L1005_); trivial.
% 10.36/10.52 apply (zenon_L24_); trivial.
% 10.36/10.52 apply (zenon_L1006_); trivial.
% 10.36/10.52 (* end of lemma zenon_L1007_ *)
% 10.36/10.52 assert (zenon_L1008_ : ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e3) (e3)) = (e3)) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((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 (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (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) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (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)) = (op (e0) (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e3)) = (op (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 (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 10.36/10.52 do 0 intro. intros zenon_H1ea zenon_H239 zenon_H191 zenon_H192 zenon_He8 zenon_H5e zenon_H73 zenon_Hd2 zenon_H42 zenon_H181 zenon_H35 zenon_H44 zenon_Hc0 zenon_H84 zenon_H17a zenon_H4c zenon_H95 zenon_He7 zenon_H27 zenon_H56 zenon_Hd3 zenon_Hc5 zenon_Hc7 zenon_H3c zenon_H187 zenon_H64 zenon_H237 zenon_Hf8 zenon_H26 zenon_H165 zenon_H4a zenon_H156 zenon_H18d zenon_H205 zenon_H12f zenon_H155 zenon_H128 zenon_H7d zenon_H145 zenon_H151 zenon_Hbb zenon_H86 zenon_H150 zenon_H112 zenon_H1fb zenon_Hb0 zenon_H53 zenon_H1ba zenon_H157 zenon_Hce zenon_Hda zenon_H8c zenon_H198 zenon_Hab zenon_H58 zenon_H168 zenon_H204 zenon_H195 zenon_H1bc zenon_H16f zenon_H233 zenon_H1af zenon_H11d zenon_H1f zenon_H7a zenon_H200 zenon_H110 zenon_H90 zenon_H184 zenon_H11b zenon_H174 zenon_H173 zenon_H12c zenon_H17c.
% 10.36/10.52 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.36/10.52 apply (zenon_L977_); trivial.
% 10.36/10.52 exact (zenon_H239 zenon_H100).
% 10.36/10.52 (* end of lemma zenon_L1008_ *)
% 10.36/10.52 assert (zenon_L1009_ : ((op (e2) (e0)) = (e0)) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e0))) -> (~((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)) = (e2))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (e1))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((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)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (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) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((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) (e0)) = (op (e0) (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((e0) = (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)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (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 (e3) (e3)) = (e3)) -> ((op (e0) (e3)) = (e0)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e1)) -> False).
% 10.36/10.52 do 0 intro. intros zenon_H73 zenon_H238 zenon_H42 zenon_He8 zenon_H17a zenon_He7 zenon_H27 zenon_H56 zenon_Hd3 zenon_H239 zenon_H95 zenon_H4c zenon_H237 zenon_Hf8 zenon_H26 zenon_H165 zenon_H181 zenon_H4a zenon_H156 zenon_Hd2 zenon_H18d zenon_H205 zenon_H12f zenon_H155 zenon_H128 zenon_H7d zenon_H145 zenon_H151 zenon_Hbb zenon_H86 zenon_H150 zenon_H112 zenon_Hc5 zenon_H1fb zenon_Hc7 zenon_Hb0 zenon_H53 zenon_H44 zenon_H1ba zenon_H157 zenon_Hce zenon_Hda zenon_H8c zenon_H35 zenon_H198 zenon_Hab zenon_H58 zenon_H168 zenon_H204 zenon_H195 zenon_H1bc zenon_H16f zenon_H233 zenon_H1af zenon_H11d zenon_H1f zenon_H3c zenon_H7a zenon_H64 zenon_H200 zenon_H5e zenon_H110 zenon_H90 zenon_H184 zenon_Hc0 zenon_H11b zenon_H174 zenon_H173 zenon_H12c zenon_H18a zenon_H84 zenon_H43 zenon_H187 zenon_H1e2 zenon_H1ef zenon_H91 zenon_H17c zenon_H9a.
% 10.36/10.52 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H76 | zenon_intro zenon_H92 ].
% 10.36/10.52 apply (zenon_L165_); trivial.
% 10.36/10.52 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H77 | zenon_intro zenon_H93 ].
% 10.36/10.52 apply (zenon_L998_); trivial.
% 10.36/10.52 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H94 | zenon_intro zenon_H8a ].
% 10.36/10.52 exact (zenon_H91 zenon_H94).
% 10.36/10.52 apply (zenon_L166_); trivial.
% 10.36/10.52 (* end of lemma zenon_L1009_ *)
% 10.36/10.52 assert (zenon_L1010_ : ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e3) (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 (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (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) (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) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (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) = (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 (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (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 (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((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) (e0)) = (op (e0) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (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) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> False).
% 10.36/10.53 do 0 intro. intros zenon_H1ea zenon_H191 zenon_H5e zenon_H73 zenon_H1ef zenon_H1e2 zenon_H187 zenon_H43 zenon_H17c zenon_H84 zenon_H18a zenon_H12c zenon_H173 zenon_H174 zenon_H11b zenon_Hc0 zenon_H184 zenon_H90 zenon_H110 zenon_H200 zenon_H64 zenon_H7a zenon_H3c zenon_H1f zenon_H11d zenon_H1af zenon_H233 zenon_H16f zenon_H1bc zenon_H195 zenon_H204 zenon_H168 zenon_H58 zenon_Hab zenon_H198 zenon_H35 zenon_H8c zenon_Hda zenon_Hce zenon_H157 zenon_H1ba zenon_H44 zenon_H53 zenon_Hb0 zenon_Hc7 zenon_H1fb zenon_Hc5 zenon_H112 zenon_H150 zenon_H86 zenon_Hbb zenon_H151 zenon_H145 zenon_H7d zenon_H128 zenon_H155 zenon_H12f zenon_H205 zenon_H18d zenon_Hd2 zenon_H156 zenon_H4a zenon_H181 zenon_H165 zenon_H26 zenon_Hf8 zenon_H237 zenon_H4c zenon_H95 zenon_H239 zenon_Hd3 zenon_H56 zenon_H27 zenon_He7 zenon_H17a zenon_H42 zenon_H238 zenon_Hc6.
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.36/10.53 apply (zenon_L190_); trivial.
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.36/10.53 apply (zenon_L1009_); trivial.
% 10.36/10.53 apply (zenon_L941_); trivial.
% 10.36/10.53 exact (zenon_H239 zenon_H100).
% 10.36/10.53 apply (zenon_L968_); trivial.
% 10.36/10.53 apply (zenon_L980_); trivial.
% 10.36/10.53 (* end of lemma zenon_L1010_ *)
% 10.36/10.53 assert (zenon_L1011_ : (~((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (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)) = (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 (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((~((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 (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e2)) = (e1))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (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)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((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 (e2) (e0)) = (e0)) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((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) (e3)) = (op (e3) (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))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (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 (e2) (e0)) = (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) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> False).
% 10.36/10.53 do 0 intro. intros zenon_H143 zenon_H56 zenon_H1f zenon_H1d zenon_H12c zenon_H173 zenon_H174 zenon_H11b zenon_H110 zenon_H200 zenon_H11d zenon_H1af zenon_H233 zenon_H16f zenon_H195 zenon_H204 zenon_H168 zenon_Hab zenon_H1fb zenon_H112 zenon_H128 zenon_H205 zenon_H156 zenon_H4a zenon_H165 zenon_H26 zenon_Hf8 zenon_H237 zenon_He7 zenon_Hdd zenon_Hce zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H1b4 zenon_H18d zenon_Hb0 zenon_Hda zenon_He3 zenon_H35 zenon_H198 zenon_H1e2 zenon_H1ba zenon_H239 zenon_H157 zenon_H145 zenon_H155 zenon_H12f zenon_H1b7 zenon_H58 zenon_Hd2 zenon_H238 zenon_Hd3 zenon_Hc5 zenon_Hc7 zenon_H3c zenon_H64 zenon_H151 zenon_Hbb zenon_H150 zenon_H1ef zenon_H17a zenon_H191 zenon_H1ea zenon_H27 zenon_H44 zenon_H97 zenon_Haf zenon_H184 zenon_Hd0 zenon_Hc0 zenon_H5e zenon_H73 zenon_H4c zenon_H91 zenon_H8c zenon_H17c zenon_H187 zenon_H18a zenon_H86 zenon_H7a zenon_H7e zenon_H7d zenon_H90 zenon_Hc1 zenon_Hde zenon_H95 zenon_H53 zenon_H28 zenon_H181 zenon_H42 zenon_H25 zenon_Hc6 zenon_H177 zenon_H14d.
% 10.36/10.53 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.36/10.53 apply (zenon_L1007_); trivial.
% 10.36/10.53 exact (zenon_H143 zenon_Hed).
% 10.36/10.53 (* end of lemma zenon_L1011_ *)
% 10.36/10.53 assert (zenon_L1012_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (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))))) -> ((op (e1) (e3)) = (e1)) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e3) (e2)) = (e3))) -> (~((e0) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((e2) = (e3))) -> ((op (e2) (e1)) = (e2)) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((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)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (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) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((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) (e0)) = (op (e0) (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((e0) = (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)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> False).
% 10.36/10.53 do 0 intro. intros zenon_H1b4 zenon_H27 zenon_He7 zenon_He8 zenon_H177 zenon_H10b zenon_H114 zenon_H42 zenon_H9a zenon_H56 zenon_H143 zenon_H53 zenon_H73 zenon_H95 zenon_Hb8 zenon_H237 zenon_Hf8 zenon_H26 zenon_H165 zenon_H181 zenon_H4a zenon_H156 zenon_Hd2 zenon_H18d zenon_H205 zenon_H12f zenon_H155 zenon_H128 zenon_H7d zenon_H145 zenon_H151 zenon_Hbb zenon_H86 zenon_H150 zenon_H112 zenon_Hc5 zenon_H1fb zenon_Hc7 zenon_Hb0 zenon_H44 zenon_H1ba zenon_H157 zenon_Hce zenon_Hda zenon_H8c zenon_H35 zenon_H198 zenon_H4c zenon_Hab zenon_H58 zenon_H168 zenon_H204 zenon_H195 zenon_H1bc zenon_H16f zenon_H233 zenon_H1af zenon_H11d zenon_H1f zenon_H3c zenon_H7a zenon_H64 zenon_H200 zenon_H5e zenon_H110 zenon_H90 zenon_H184 zenon_Hc0 zenon_H11b zenon_H174 zenon_H173 zenon_H12c.
% 10.36/10.53 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.36/10.53 apply (zenon_L940_); trivial.
% 10.36/10.53 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 10.36/10.53 exact (zenon_H56 zenon_H2c).
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 10.36/10.53 apply (zenon_L194_); trivial.
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 10.36/10.53 apply (zenon_L165_); trivial.
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 10.36/10.53 exact (zenon_H27 zenon_H32).
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 10.36/10.53 apply (zenon_L648_); trivial.
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 10.36/10.53 apply (zenon_L629_); trivial.
% 10.36/10.53 apply (zenon_L163_); trivial.
% 10.36/10.53 exact (zenon_H143 zenon_Hed).
% 10.36/10.53 (* end of lemma zenon_L1012_ *)
% 10.36/10.53 assert (zenon_L1013_ : ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e0)) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e0)) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e3) (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 (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (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) (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) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (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) = (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 (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (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 (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((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) (e0)) = (op (e0) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (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) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> False).
% 10.36/10.53 do 0 intro. intros zenon_H1ea zenon_H191 zenon_H143 zenon_H114 zenon_H10b zenon_H177 zenon_H1b4 zenon_H5e zenon_H73 zenon_H1ef zenon_H1e2 zenon_H187 zenon_H43 zenon_H17c zenon_H84 zenon_H18a zenon_H12c zenon_H173 zenon_H174 zenon_H11b zenon_Hc0 zenon_H184 zenon_H90 zenon_H110 zenon_H200 zenon_H64 zenon_H7a zenon_H3c zenon_H1f zenon_H11d zenon_H1af zenon_H233 zenon_H16f zenon_H1bc zenon_H195 zenon_H204 zenon_H168 zenon_H58 zenon_Hab zenon_H198 zenon_H35 zenon_H8c zenon_Hda zenon_Hce zenon_H157 zenon_H1ba zenon_H44 zenon_H53 zenon_Hb0 zenon_Hc7 zenon_H1fb zenon_Hc5 zenon_H112 zenon_H150 zenon_H86 zenon_Hbb zenon_H151 zenon_H145 zenon_H7d zenon_H128 zenon_H155 zenon_H12f zenon_H205 zenon_H18d zenon_Hd2 zenon_H156 zenon_H4a zenon_H181 zenon_H165 zenon_H26 zenon_Hf8 zenon_H237 zenon_H4c zenon_H95 zenon_H239 zenon_Hd3 zenon_H56 zenon_H27 zenon_He7 zenon_H17a zenon_H42 zenon_H238 zenon_Hc6.
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.36/10.53 apply (zenon_L190_); trivial.
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.36/10.53 apply (zenon_L1009_); trivial.
% 10.36/10.53 apply (zenon_L1012_); trivial.
% 10.36/10.53 exact (zenon_H239 zenon_H100).
% 10.36/10.53 apply (zenon_L968_); trivial.
% 10.36/10.53 apply (zenon_L980_); trivial.
% 10.36/10.53 (* end of lemma zenon_L1013_ *)
% 10.36/10.53 assert (zenon_L1014_ : (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (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) (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 (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e3) (e0)) = (op (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 (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e2)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (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) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (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 (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (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 (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 (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (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)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((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))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (e1))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> False).
% 10.36/10.53 do 0 intro. intros zenon_H10b zenon_H114 zenon_H177 zenon_H14d zenon_Hdd zenon_H1c0 zenon_H1c3 zenon_H1b4 zenon_He3 zenon_H18a zenon_H1e2 zenon_H1b7 zenon_H238 zenon_H1ef zenon_H97 zenon_H143 zenon_Hc6 zenon_H17c zenon_H12c zenon_H173 zenon_H174 zenon_H11b zenon_H184 zenon_H90 zenon_H110 zenon_H200 zenon_H7a zenon_H1f zenon_H11d zenon_H1af zenon_H233 zenon_H16f zenon_H1bc zenon_H195 zenon_H204 zenon_H168 zenon_H58 zenon_Hab zenon_H198 zenon_H8c zenon_Hda zenon_Hce zenon_H157 zenon_H1ba zenon_H53 zenon_Hb0 zenon_H1fb zenon_H112 zenon_H150 zenon_H86 zenon_Hbb zenon_H151 zenon_H145 zenon_H7d zenon_H128 zenon_H155 zenon_H12f zenon_H205 zenon_H18d zenon_H156 zenon_H4a zenon_H165 zenon_H26 zenon_Hf8 zenon_H237 zenon_H64 zenon_H187 zenon_H3c zenon_Hc7 zenon_Hc5 zenon_Hd3 zenon_H27 zenon_He7 zenon_H95 zenon_H4c zenon_H17a zenon_H84 zenon_Hc0 zenon_H44 zenon_H35 zenon_H181 zenon_H42 zenon_Hd2 zenon_H73 zenon_H5e zenon_H191 zenon_H239 zenon_H1ea.
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.36/10.53 apply (zenon_L1008_); trivial.
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.36/10.53 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.36/10.53 apply (zenon_L43_); trivial.
% 10.36/10.53 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.36/10.53 apply (zenon_L1006_); trivial.
% 10.36/10.53 exact (zenon_H143 zenon_Hed).
% 10.36/10.53 apply (zenon_L941_); trivial.
% 10.36/10.53 apply (zenon_L979_); trivial.
% 10.36/10.53 apply (zenon_L1013_); trivial.
% 10.36/10.53 apply (zenon_L983_); trivial.
% 10.36/10.53 apply (zenon_L216_); trivial.
% 10.36/10.53 (* end of lemma zenon_L1014_ *)
% 10.36/10.53 assert (zenon_L1015_ : (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (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)) = (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 (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((~((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 (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (e1))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (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) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> (((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)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((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) (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 (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((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 (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> False).
% 10.36/10.53 do 0 intro. intros zenon_H10b zenon_H114 zenon_H1ba zenon_H73 zenon_H1f zenon_H12c zenon_H173 zenon_H174 zenon_H11b zenon_H110 zenon_H200 zenon_H11d zenon_H1af zenon_H233 zenon_H16f zenon_H195 zenon_H204 zenon_H168 zenon_Hab zenon_H1fb zenon_H112 zenon_H128 zenon_H205 zenon_H156 zenon_H4a zenon_H165 zenon_H26 zenon_Hf8 zenon_H237 zenon_He7 zenon_Hdd zenon_Hce zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H1b4 zenon_H18d zenon_Hb0 zenon_Hda zenon_He3 zenon_H35 zenon_H198 zenon_H1e2 zenon_H239 zenon_H157 zenon_H145 zenon_H155 zenon_H12f zenon_H1b7 zenon_H58 zenon_Hd2 zenon_H238 zenon_Hd3 zenon_H3c zenon_H64 zenon_H151 zenon_Hbb zenon_H150 zenon_H1ef zenon_H17a zenon_H191 zenon_H1ea zenon_H27 zenon_H44 zenon_H97 zenon_H184 zenon_Hc0 zenon_H5e zenon_H4c zenon_H8c zenon_H17c zenon_H187 zenon_H18a zenon_H86 zenon_H7a zenon_H7d zenon_H90 zenon_Hde zenon_H95 zenon_H53 zenon_H181 zenon_H42 zenon_H177 zenon_H14d zenon_Hc6 zenon_Hc7 zenon_Hc5.
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H7f | zenon_intro zenon_H143 ].
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.36/10.53 apply (zenon_L216_); trivial.
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.36/10.53 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.36/10.53 apply (zenon_L43_); trivial.
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.36/10.53 apply (zenon_L1007_); trivial.
% 10.36/10.53 apply (zenon_L970_); trivial.
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.36/10.53 apply (zenon_L1007_); trivial.
% 10.36/10.53 apply (zenon_L41_); trivial.
% 10.36/10.53 apply (zenon_L941_); trivial.
% 10.36/10.53 apply (zenon_L88_); trivial.
% 10.36/10.53 exact (zenon_H239 zenon_H100).
% 10.36/10.53 apply (zenon_L974_); trivial.
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.36/10.53 apply (zenon_L975_); trivial.
% 10.36/10.53 exact (zenon_H239 zenon_H100).
% 10.36/10.53 apply (zenon_L85_); trivial.
% 10.36/10.53 apply (zenon_L216_); trivial.
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.36/10.53 exact (zenon_Hc7 zenon_H3a).
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.36/10.53 apply (zenon_L1008_); trivial.
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.36/10.53 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.36/10.53 apply (zenon_L43_); trivial.
% 10.36/10.53 apply (zenon_L1006_); trivial.
% 10.36/10.53 apply (zenon_L941_); trivial.
% 10.36/10.53 apply (zenon_L979_); trivial.
% 10.36/10.53 apply (zenon_L1010_); trivial.
% 10.36/10.53 apply (zenon_L983_); trivial.
% 10.36/10.53 apply (zenon_L216_); trivial.
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.36/10.53 apply (zenon_L216_); trivial.
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.36/10.53 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.36/10.53 apply (zenon_L43_); trivial.
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.36/10.53 apply (zenon_L1011_); trivial.
% 10.36/10.53 apply (zenon_L986_); trivial.
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.36/10.53 apply (zenon_L1011_); trivial.
% 10.36/10.53 apply (zenon_L41_); trivial.
% 10.36/10.53 apply (zenon_L941_); trivial.
% 10.36/10.53 apply (zenon_L88_); trivial.
% 10.36/10.53 exact (zenon_H239 zenon_H100).
% 10.36/10.53 apply (zenon_L987_); trivial.
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.36/10.53 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.36/10.53 apply (zenon_L43_); trivial.
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.36/10.53 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.36/10.53 apply (zenon_L169_); trivial.
% 10.36/10.53 apply (zenon_L1014_); trivial.
% 10.36/10.53 exact (zenon_H143 zenon_Hed).
% 10.36/10.53 apply (zenon_L942_); trivial.
% 10.36/10.53 apply (zenon_L941_); trivial.
% 10.36/10.53 apply (zenon_L88_); trivial.
% 10.36/10.53 exact (zenon_H239 zenon_H100).
% 10.36/10.53 apply (zenon_L85_); trivial.
% 10.36/10.53 apply (zenon_L216_); trivial.
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.36/10.53 exact (zenon_Hc7 zenon_H3a).
% 10.36/10.53 apply (zenon_L1014_); trivial.
% 10.36/10.53 (* end of lemma zenon_L1015_ *)
% 10.36/10.53 assert (zenon_L1016_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((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))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (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) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 10.36/10.53 do 0 intro. intros zenon_H200 zenon_H25 zenon_H181 zenon_H97 zenon_H28 zenon_H53 zenon_H95 zenon_H7a zenon_H44 zenon_H27 zenon_H42 zenon_H23c zenon_H18a zenon_H187 zenon_H1d zenon_H11d zenon_H17c zenon_Hd0 zenon_H84 zenon_H86.
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.36/10.53 exact (zenon_H25 zenon_H2a).
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.36/10.53 apply (zenon_L171_); trivial.
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.36/10.53 exact (zenon_H23c zenon_H51).
% 10.36/10.53 apply (zenon_L637_); trivial.
% 10.36/10.53 (* end of lemma zenon_L1016_ *)
% 10.36/10.53 assert (zenon_L1017_ : ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (((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)) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (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 (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e0) (e3)) = (op (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 (e1) (e3)))) -> (~((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)) = (e1))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((op (e2) (e3)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> False).
% 10.36/10.53 do 0 intro. intros zenon_H18d zenon_H1d zenon_H11d zenon_H25 zenon_H42 zenon_H181 zenon_H28 zenon_H53 zenon_H95 zenon_Hde zenon_Hc1 zenon_H90 zenon_H7d zenon_H7f zenon_H7e zenon_H7a zenon_H86 zenon_H18a zenon_H187 zenon_H17c zenon_H8c zenon_H91 zenon_H4c zenon_H73 zenon_H5e zenon_Hc0 zenon_Hd0 zenon_H184 zenon_Haf zenon_H97 zenon_H44 zenon_H27 zenon_H23c zenon_H200.
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.36/10.53 exact (zenon_H25 zenon_H2a).
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.36/10.53 apply (zenon_L169_); trivial.
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.36/10.53 exact (zenon_H23c zenon_H51).
% 10.36/10.53 apply (zenon_L24_); trivial.
% 10.36/10.53 apply (zenon_L1016_); trivial.
% 10.36/10.53 (* end of lemma zenon_L1017_ *)
% 10.36/10.53 assert (zenon_L1018_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((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) (e3)) = (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))))) -> (((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))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (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) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (op (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) (e2)) = (e1)))\/((op (e2) (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 (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> False).
% 10.36/10.53 do 0 intro. intros zenon_Hd2 zenon_H151 zenon_H56 zenon_H195 zenon_H14d zenon_H35 zenon_H177 zenon_H1b4 zenon_H200 zenon_H23c zenon_H27 zenon_H44 zenon_H97 zenon_Haf zenon_H184 zenon_Hc0 zenon_H5e zenon_H4c zenon_H8c zenon_H17c zenon_H187 zenon_H18a zenon_H86 zenon_H7a zenon_H7f zenon_H7d zenon_H90 zenon_Hde zenon_H95 zenon_H53 zenon_H28 zenon_H181 zenon_H42 zenon_H25 zenon_H11d zenon_H1d zenon_H18d zenon_Hbb zenon_H150 zenon_Hc6 zenon_H73 zenon_Hc7 zenon_Hc5 zenon_H237 zenon_Hf8 zenon_H26 zenon_H165 zenon_H4a zenon_H156 zenon_H205 zenon_H12f zenon_H155 zenon_H128 zenon_H145 zenon_H112 zenon_H1fb zenon_Hb0 zenon_H1ba zenon_H157 zenon_Hce zenon_Hda zenon_H198 zenon_Hab zenon_H58 zenon_H168 zenon_H204 zenon_H1bc zenon_H16f zenon_H233 zenon_H1af zenon_H1f zenon_H3c zenon_H64 zenon_H110 zenon_H11b zenon_H174 zenon_H173 zenon_H12c.
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.36/10.53 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.36/10.53 apply (zenon_L43_); trivial.
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.36/10.53 apply (zenon_L1017_); trivial.
% 10.36/10.53 apply (zenon_L970_); trivial.
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.36/10.53 apply (zenon_L1017_); trivial.
% 10.36/10.53 apply (zenon_L41_); trivial.
% 10.36/10.53 apply (zenon_L941_); trivial.
% 10.36/10.53 apply (zenon_L88_); trivial.
% 10.36/10.53 (* end of lemma zenon_L1018_ *)
% 10.36/10.53 assert (zenon_L1019_ : ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (((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)) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (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) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e0) (e3)) = (op (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 (e1) (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))) -> (~((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 (e1) (e1)) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e2)) = (e0))) -> (((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) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (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) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (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) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (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 (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> False).
% 10.36/10.53 do 0 intro. intros zenon_H18d zenon_H1d zenon_H11d zenon_H25 zenon_H42 zenon_H181 zenon_H28 zenon_H53 zenon_H95 zenon_Hde zenon_H90 zenon_H7d zenon_H7f zenon_H7a zenon_H86 zenon_H18a zenon_H187 zenon_H17c zenon_H8c zenon_H4c zenon_H5e zenon_Hc0 zenon_H184 zenon_Haf zenon_H97 zenon_H44 zenon_H27 zenon_H23c zenon_H200 zenon_H12c zenon_H173 zenon_H174 zenon_H11b zenon_H110 zenon_H64 zenon_H3c zenon_H1f zenon_H1af zenon_H233 zenon_H16f zenon_H1bc zenon_H195 zenon_H204 zenon_H168 zenon_H58 zenon_Hab zenon_H198 zenon_H35 zenon_Hda zenon_Hce zenon_H157 zenon_H1ba zenon_Hb0 zenon_H1fb zenon_H112 zenon_H150 zenon_Hbb zenon_H151 zenon_H145 zenon_H128 zenon_H155 zenon_H12f zenon_H205 zenon_Hd2 zenon_H156 zenon_H4a zenon_H165 zenon_H26 zenon_Hf8 zenon_H237 zenon_H68 zenon_Hc6 zenon_H73 zenon_Hc7 zenon_Hc5.
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.36/10.53 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.36/10.53 apply (zenon_L43_); trivial.
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.36/10.53 apply (zenon_L1017_); trivial.
% 10.36/10.53 apply (zenon_L942_); trivial.
% 10.36/10.53 apply (zenon_L941_); trivial.
% 10.36/10.53 apply (zenon_L88_); trivial.
% 10.36/10.53 (* end of lemma zenon_L1019_ *)
% 10.36/10.53 assert (zenon_L1020_ : ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (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)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (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)))) -> (~((e1) = (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 (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (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 (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e0) = (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 (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> False).
% 10.36/10.53 do 0 intro. intros zenon_H67 zenon_H23c zenon_H12c zenon_H173 zenon_H174 zenon_H11b zenon_Hc0 zenon_H184 zenon_H90 zenon_H110 zenon_H5e zenon_H200 zenon_H64 zenon_H3c zenon_H1f zenon_H11d zenon_H1af zenon_H233 zenon_H16f zenon_H1bc zenon_H195 zenon_H204 zenon_H168 zenon_H58 zenon_Hab zenon_H4c zenon_H198 zenon_H35 zenon_H8c zenon_Hda zenon_Hce zenon_H157 zenon_H1ba zenon_Hb0 zenon_H1fb zenon_H112 zenon_H150 zenon_H86 zenon_Hbb zenon_H151 zenon_H145 zenon_H7d zenon_H128 zenon_H155 zenon_H12f zenon_H205 zenon_H18d zenon_H156 zenon_H4a zenon_H165 zenon_H26 zenon_Hf8 zenon_H237 zenon_Hc5 zenon_Hc7 zenon_H73 zenon_Hc6 zenon_H42 zenon_H181 zenon_H53 zenon_H95 zenon_H7a zenon_H84 zenon_H97 zenon_H68 zenon_H44 zenon_Hd2.
% 10.36/10.53 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.36/10.53 apply (zenon_L983_); trivial.
% 10.36/10.53 exact (zenon_H23c zenon_H51).
% 10.36/10.53 (* end of lemma zenon_L1020_ *)
% 10.36/10.53 assert (zenon_L1021_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e2)) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((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 (e2) (e0)) = (e0)) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((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) (e3)) = (op (e3) (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))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (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) (e1)) = (op (e1) (e3)))) -> ((op (e1) (e1)) = (e1)) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> False).
% 10.36/10.54 do 0 intro. intros zenon_Hf8 zenon_H143 zenon_H200 zenon_H23c zenon_H27 zenon_H44 zenon_H97 zenon_Haf zenon_H184 zenon_Hd0 zenon_Hc0 zenon_H5e zenon_H73 zenon_H4c zenon_H91 zenon_H8c zenon_H17c zenon_H187 zenon_H18a zenon_H86 zenon_H7a zenon_H7e zenon_H7d zenon_H90 zenon_Hc1 zenon_Hde zenon_H95 zenon_H53 zenon_H28 zenon_H181 zenon_H42 zenon_H25 zenon_H11d zenon_H1d zenon_H18d.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.36/10.54 apply (zenon_L1017_); trivial.
% 10.36/10.54 exact (zenon_H143 zenon_Hed).
% 10.36/10.54 (* end of lemma zenon_L1021_ *)
% 10.36/10.54 assert (zenon_L1022_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((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))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (e0))) -> (((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)) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (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) (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)) = (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) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (~((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 (e1) (e1)) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e3) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (op (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) (e2)) = (e1)))\/((op (e2) (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 (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> False).
% 10.36/10.54 do 0 intro. intros zenon_Hd2 zenon_H151 zenon_H1b4 zenon_H177 zenon_H35 zenon_H14d zenon_H195 zenon_H56 zenon_H18d zenon_H1d zenon_H11d zenon_H25 zenon_H42 zenon_H181 zenon_H28 zenon_H53 zenon_H95 zenon_Hde zenon_H90 zenon_H7d zenon_H7a zenon_H86 zenon_H18a zenon_H187 zenon_H17c zenon_H8c zenon_H4c zenon_H5e zenon_Hc0 zenon_H184 zenon_Haf zenon_H97 zenon_H44 zenon_H27 zenon_H23c zenon_H200 zenon_H143 zenon_Hf8 zenon_Hbb zenon_H150 zenon_Hc6 zenon_H73 zenon_Hc7 zenon_Hc5 zenon_H237 zenon_H26 zenon_H165 zenon_H4a zenon_H156 zenon_H205 zenon_H12f zenon_H155 zenon_H128 zenon_H145 zenon_H112 zenon_H1fb zenon_Hb0 zenon_H1ba zenon_H157 zenon_Hce zenon_Hda zenon_H198 zenon_Hab zenon_H58 zenon_H168 zenon_H204 zenon_H1bc zenon_H16f zenon_H233 zenon_H1af zenon_H1f zenon_H3c zenon_H64 zenon_H110 zenon_H11b zenon_H174 zenon_H173 zenon_H12c.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.36/10.54 apply (zenon_L43_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.36/10.54 apply (zenon_L1021_); trivial.
% 10.36/10.54 apply (zenon_L986_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.36/10.54 apply (zenon_L1021_); trivial.
% 10.36/10.54 apply (zenon_L41_); trivial.
% 10.36/10.54 apply (zenon_L941_); trivial.
% 10.36/10.54 apply (zenon_L88_); trivial.
% 10.36/10.54 (* end of lemma zenon_L1022_ *)
% 10.36/10.54 assert (zenon_L1023_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e0)) = (e0))) -> (((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)) = (e3))) -> (~((e0) = (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))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e2)) = (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) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> False).
% 10.36/10.54 do 0 intro. intros zenon_Hd2 zenon_H25 zenon_H42 zenon_H181 zenon_H28 zenon_H53 zenon_H95 zenon_H7a zenon_H84 zenon_H97 zenon_H44 zenon_H27 zenon_H23c zenon_H18a zenon_H86 zenon_H17c zenon_H1d zenon_H11d zenon_H187 zenon_H200 zenon_Hc6 zenon_H73 zenon_H91 zenon_Hc7 zenon_Hc5.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.36/10.54 apply (zenon_L43_); trivial.
% 10.36/10.54 apply (zenon_L1016_); trivial.
% 10.36/10.54 (* end of lemma zenon_L1023_ *)
% 10.36/10.54 assert (zenon_L1024_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (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)) = (e3))) -> (~((e0) = (e3))) -> (~((e2) = (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) (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)) = (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) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (~((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 (e1) (e1)) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e2)) = (e0))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((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)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (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) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (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) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (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 (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> False).
% 10.36/10.54 do 0 intro. intros zenon_Hf8 zenon_H143 zenon_H42 zenon_H181 zenon_H28 zenon_H53 zenon_H95 zenon_Hde zenon_H90 zenon_H7d zenon_H7a zenon_H86 zenon_H18a zenon_H187 zenon_H17c zenon_H8c zenon_H4c zenon_H5e zenon_Hc0 zenon_H184 zenon_Haf zenon_H97 zenon_H68 zenon_H44 zenon_H27 zenon_Hd2 zenon_H25 zenon_H23c zenon_H1d zenon_H11d zenon_H200 zenon_H18d zenon_H12c zenon_H173 zenon_H174 zenon_H11b zenon_H110 zenon_H64 zenon_H3c zenon_H1f zenon_H1af zenon_H233 zenon_H16f zenon_H1bc zenon_H195 zenon_H204 zenon_H168 zenon_H58 zenon_Hab zenon_H198 zenon_H35 zenon_Hda zenon_Hce zenon_H157 zenon_H1ba zenon_Hb0 zenon_H1fb zenon_H112 zenon_H150 zenon_Hbb zenon_H151 zenon_H145 zenon_H128 zenon_H155 zenon_H12f zenon_H205 zenon_H156 zenon_H4a zenon_H165 zenon_H26 zenon_H237 zenon_Hc6 zenon_H73 zenon_Hc7 zenon_Hc5.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.36/10.54 apply (zenon_L43_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H80 | zenon_intro zenon_H84 ].
% 10.36/10.54 apply (zenon_L169_); trivial.
% 10.36/10.54 apply (zenon_L1023_); trivial.
% 10.36/10.54 exact (zenon_H143 zenon_Hed).
% 10.36/10.54 apply (zenon_L942_); trivial.
% 10.36/10.54 apply (zenon_L941_); trivial.
% 10.36/10.54 apply (zenon_L88_); trivial.
% 10.36/10.54 (* end of lemma zenon_L1024_ *)
% 10.36/10.54 assert (zenon_L1025_ : (~((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)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (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 (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (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 (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 (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (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)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((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))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((op (e2) (e0)) = (e0)) -> (~((e0) = (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))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e2)) = (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))))) -> False).
% 10.36/10.54 do 0 intro. intros zenon_H17c zenon_H12c zenon_H173 zenon_H174 zenon_H11b zenon_H184 zenon_H90 zenon_H110 zenon_H200 zenon_H7a zenon_H1f zenon_H11d zenon_H1af zenon_H233 zenon_H16f zenon_H1bc zenon_H195 zenon_H204 zenon_H168 zenon_H58 zenon_Hab zenon_H198 zenon_H8c zenon_Hda zenon_Hce zenon_H157 zenon_H1ba zenon_H53 zenon_Hb0 zenon_H1fb zenon_H112 zenon_H150 zenon_H86 zenon_Hbb zenon_H151 zenon_H145 zenon_H7d zenon_H128 zenon_H155 zenon_H12f zenon_H205 zenon_H18d zenon_H156 zenon_H4a zenon_H165 zenon_H26 zenon_Hf8 zenon_H237 zenon_H64 zenon_H187 zenon_H3c zenon_Hc7 zenon_Hc5 zenon_Hd3 zenon_H56 zenon_H27 zenon_He7 zenon_H95 zenon_H4c zenon_H17a zenon_H84 zenon_Hc0 zenon_H44 zenon_H35 zenon_H181 zenon_H42 zenon_Hd2 zenon_H73 zenon_H5e zenon_H1b4 zenon_H177 zenon_H10b zenon_H114 zenon_H143 zenon_He8 zenon_H192 zenon_Haf zenon_H191.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.36/10.54 apply (zenon_L190_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.36/10.54 apply (zenon_L976_); trivial.
% 10.36/10.54 apply (zenon_L1012_); trivial.
% 10.36/10.54 (* end of lemma zenon_L1025_ *)
% 10.36/10.54 assert (zenon_L1026_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e0)) = (e0))) -> (((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)) = (e3))) -> (~((e0) = (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))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e2)) = (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) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (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 (e1) (e1)) = (e0))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (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)))) -> (~((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) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (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)))) -> (~((e1) = (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 (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (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 (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> False).
% 10.36/10.54 do 0 intro. intros zenon_Hd2 zenon_H25 zenon_H42 zenon_H181 zenon_H28 zenon_H53 zenon_H95 zenon_H7a zenon_H84 zenon_H97 zenon_H44 zenon_H27 zenon_H23c zenon_H18a zenon_H86 zenon_H17c zenon_H1d zenon_H11d zenon_H187 zenon_H200 zenon_Hc6 zenon_H73 zenon_Hc7 zenon_Hc5 zenon_He7 zenon_He8 zenon_H56 zenon_H12c zenon_H173 zenon_H174 zenon_H11b zenon_Hc0 zenon_H184 zenon_H90 zenon_H110 zenon_H5e zenon_H64 zenon_H3c zenon_H1f zenon_H1af zenon_H233 zenon_H16f zenon_H1bc zenon_H195 zenon_H204 zenon_H168 zenon_H58 zenon_Hab zenon_H4c zenon_H198 zenon_H35 zenon_H8c zenon_Hda zenon_Hce zenon_H157 zenon_H1ba zenon_Hb0 zenon_H1fb zenon_H112 zenon_H150 zenon_Hbb zenon_H151 zenon_H145 zenon_H7d zenon_H128 zenon_H155 zenon_H12f zenon_H205 zenon_H18d zenon_H156 zenon_H4a zenon_H165 zenon_H26 zenon_Hf8 zenon_H237.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.36/10.54 apply (zenon_L1023_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.36/10.54 exact (zenon_H25 zenon_H2a).
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.36/10.54 apply (zenon_L982_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.36/10.54 exact (zenon_H23c zenon_H51).
% 10.36/10.54 apply (zenon_L967_); trivial.
% 10.36/10.54 apply (zenon_L88_); trivial.
% 10.36/10.54 (* end of lemma zenon_L1026_ *)
% 10.36/10.54 assert (zenon_L1027_ : (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e0)) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (e0))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((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) (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 (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e2) = (e3))) -> (~((e0) = (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) (e1)) = (op (e1) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (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 (e1) (e0)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (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 (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e1)) = (op (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)) = (e1))) -> False).
% 10.36/10.54 do 0 intro. intros zenon_H10b zenon_H114 zenon_H1ba zenon_H73 zenon_H67 zenon_Hd2 zenon_H151 zenon_H195 zenon_H14d zenon_H35 zenon_H177 zenon_H1b4 zenon_H200 zenon_H23c zenon_H44 zenon_H97 zenon_Haf zenon_H184 zenon_Hc0 zenon_H5e zenon_H4c zenon_H8c zenon_H17c zenon_H187 zenon_H18a zenon_H86 zenon_H7a zenon_H7d zenon_H90 zenon_Hde zenon_H95 zenon_H53 zenon_H181 zenon_H42 zenon_H11d zenon_H18d zenon_Hbb zenon_H150 zenon_Hc6 zenon_Hc7 zenon_Hc5 zenon_H237 zenon_Hf8 zenon_H26 zenon_H165 zenon_H4a zenon_H156 zenon_H205 zenon_H12f zenon_H155 zenon_H128 zenon_H145 zenon_H112 zenon_H1fb zenon_Hb0 zenon_H157 zenon_Hce zenon_Hda zenon_H198 zenon_Hab zenon_H58 zenon_H168 zenon_H204 zenon_H1bc zenon_H16f zenon_H233 zenon_H1af zenon_H1f zenon_H3c zenon_H64 zenon_H110 zenon_H11b zenon_H174 zenon_H173 zenon_H12c zenon_He7 zenon_Hdd zenon_Hd3 zenon_H17a zenon_H191 zenon_H1ef.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H7f | zenon_intro zenon_H143 ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.36/10.54 apply (zenon_L216_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.36/10.54 apply (zenon_L1018_); trivial.
% 10.36/10.54 apply (zenon_L974_); trivial.
% 10.36/10.54 exact (zenon_H23c zenon_H51).
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.36/10.54 apply (zenon_L1019_); trivial.
% 10.36/10.54 apply (zenon_L85_); trivial.
% 10.36/10.54 exact (zenon_H23c zenon_H51).
% 10.36/10.54 apply (zenon_L216_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.36/10.54 exact (zenon_Hc7 zenon_H3a).
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.36/10.54 apply (zenon_L977_); trivial.
% 10.36/10.54 apply (zenon_L1018_); trivial.
% 10.36/10.54 apply (zenon_L979_); trivial.
% 10.36/10.54 apply (zenon_L981_); trivial.
% 10.36/10.54 exact (zenon_H23c zenon_H51).
% 10.36/10.54 apply (zenon_L1020_); trivial.
% 10.36/10.54 apply (zenon_L216_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.36/10.54 apply (zenon_L216_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.36/10.54 apply (zenon_L1022_); trivial.
% 10.36/10.54 apply (zenon_L987_); trivial.
% 10.36/10.54 exact (zenon_H23c zenon_H51).
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.36/10.54 apply (zenon_L1024_); trivial.
% 10.36/10.54 apply (zenon_L85_); trivial.
% 10.36/10.54 exact (zenon_H23c zenon_H51).
% 10.36/10.54 apply (zenon_L216_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.36/10.54 exact (zenon_Hc7 zenon_H3a).
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.36/10.54 apply (zenon_L1025_); trivial.
% 10.36/10.54 apply (zenon_L1026_); trivial.
% 10.36/10.54 apply (zenon_L979_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.36/10.54 apply (zenon_L1025_); trivial.
% 10.36/10.54 apply (zenon_L968_); trivial.
% 10.36/10.54 apply (zenon_L980_); trivial.
% 10.36/10.54 exact (zenon_H23c zenon_H51).
% 10.36/10.54 apply (zenon_L1020_); trivial.
% 10.36/10.54 apply (zenon_L216_); trivial.
% 10.36/10.54 (* end of lemma zenon_L1027_ *)
% 10.36/10.54 assert (zenon_L1028_ : (~((op (e0) (e0)) = (e0))) -> (((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)) = (e3))) -> (~((e0) = (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))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e2)) = (e0))) -> ((op (e1) (e3)) = (e1)) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e0))) -> (~((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)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (e1))) -> (~((e1) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (op (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) (e2)) = (e1)))\/((op (e2) (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) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((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) (e0)) = (op (e0) (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (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 (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((e0) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> False).
% 10.36/10.54 do 0 intro. intros zenon_H25 zenon_H42 zenon_H181 zenon_H28 zenon_H53 zenon_H95 zenon_H7a zenon_H84 zenon_H97 zenon_H44 zenon_H27 zenon_H23c zenon_H9a zenon_H238 zenon_He8 zenon_H17a zenon_He7 zenon_H56 zenon_Hd3 zenon_H239 zenon_H4c zenon_H237 zenon_Hf8 zenon_H26 zenon_H165 zenon_H4a zenon_H156 zenon_Hd2 zenon_H18d zenon_H205 zenon_H12f zenon_H155 zenon_H128 zenon_H7d zenon_H145 zenon_H151 zenon_Hbb zenon_H86 zenon_H150 zenon_H112 zenon_H1fb zenon_Hb0 zenon_H1ba zenon_H157 zenon_Hce zenon_Hda zenon_H8c zenon_H35 zenon_H198 zenon_Hab zenon_H58 zenon_H168 zenon_H204 zenon_H195 zenon_H1bc zenon_H16f zenon_H233 zenon_H1af zenon_H11d zenon_H1f zenon_H3c zenon_H64 zenon_H200 zenon_H110 zenon_H90 zenon_H184 zenon_Hc0 zenon_H11b zenon_H174 zenon_H173 zenon_H12c zenon_H18a zenon_H17c zenon_H187 zenon_H1e2 zenon_H1ef zenon_H5e zenon_Hc6 zenon_H73 zenon_H91 zenon_Hc7 zenon_Hc5.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.36/10.54 apply (zenon_L43_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.36/10.54 exact (zenon_H25 zenon_H2a).
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.36/10.54 apply (zenon_L171_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.36/10.54 exact (zenon_H23c zenon_H51).
% 10.36/10.54 apply (zenon_L1009_); trivial.
% 10.36/10.54 (* end of lemma zenon_L1028_ *)
% 10.36/10.54 assert (zenon_L1029_ : (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e0)) = (e0)) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e1) (e2)) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (~((op (e1) (e1)) = (op (e2) (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) (e1)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (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 (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (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) (e2)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (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) (e3)) = (op (e2) (e3)))) -> (~((e0) = (e3))) -> (~((e2) = (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) (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)) = (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) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (~((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)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (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)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> False).
% 10.36/10.54 do 0 intro. intros zenon_H114 zenon_H10b zenon_H1ba zenon_H73 zenon_H67 zenon_H1ea zenon_H239 zenon_H12c zenon_H173 zenon_H174 zenon_H11b zenon_H110 zenon_H64 zenon_H3c zenon_H1f zenon_H1af zenon_H233 zenon_H16f zenon_H1bc zenon_H204 zenon_H168 zenon_H58 zenon_Hab zenon_H198 zenon_Hda zenon_Hce zenon_H157 zenon_Hb0 zenon_H1fb zenon_H112 zenon_H145 zenon_H128 zenon_H155 zenon_H12f zenon_H205 zenon_H156 zenon_H4a zenon_H165 zenon_H26 zenon_Hf8 zenon_H237 zenon_Hc5 zenon_Hc7 zenon_Hc6 zenon_H150 zenon_Hbb zenon_H18d zenon_H11d zenon_H42 zenon_H181 zenon_H53 zenon_H95 zenon_Hde zenon_H90 zenon_H7d zenon_H7a zenon_H86 zenon_H18a zenon_H187 zenon_H17c zenon_H8c zenon_H4c zenon_H5e zenon_Hc0 zenon_H184 zenon_H97 zenon_H44 zenon_H23c zenon_H200 zenon_H1b4 zenon_H177 zenon_H35 zenon_H14d zenon_H195 zenon_H151 zenon_Hd2 zenon_He7 zenon_Hdd zenon_H191 zenon_H1ef zenon_H1e2 zenon_Hd3 zenon_H17a zenon_H238.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H7f | zenon_intro zenon_H143 ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.36/10.54 apply (zenon_L216_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.36/10.54 apply (zenon_L1018_); trivial.
% 10.36/10.54 exact (zenon_H239 zenon_H100).
% 10.36/10.54 apply (zenon_L974_); trivial.
% 10.36/10.54 exact (zenon_H23c zenon_H51).
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.36/10.54 apply (zenon_L1019_); trivial.
% 10.36/10.54 exact (zenon_H239 zenon_H100).
% 10.36/10.54 apply (zenon_L85_); trivial.
% 10.36/10.54 exact (zenon_H23c zenon_H51).
% 10.36/10.54 apply (zenon_L216_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.36/10.54 exact (zenon_Hc7 zenon_H3a).
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.36/10.54 apply (zenon_L190_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.36/10.54 apply (zenon_L1028_); trivial.
% 10.36/10.54 apply (zenon_L941_); trivial.
% 10.36/10.54 exact (zenon_H239 zenon_H100).
% 10.36/10.54 apply (zenon_L1026_); trivial.
% 10.36/10.54 apply (zenon_L979_); trivial.
% 10.36/10.54 apply (zenon_L1010_); trivial.
% 10.36/10.54 exact (zenon_H23c zenon_H51).
% 10.36/10.54 apply (zenon_L1020_); trivial.
% 10.36/10.54 apply (zenon_L216_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.36/10.54 apply (zenon_L216_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.36/10.54 apply (zenon_L1022_); trivial.
% 10.36/10.54 exact (zenon_H239 zenon_H100).
% 10.36/10.54 apply (zenon_L987_); trivial.
% 10.36/10.54 exact (zenon_H23c zenon_H51).
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.36/10.54 apply (zenon_L1024_); trivial.
% 10.36/10.54 exact (zenon_H239 zenon_H100).
% 10.36/10.54 apply (zenon_L85_); trivial.
% 10.36/10.54 exact (zenon_H23c zenon_H51).
% 10.36/10.54 apply (zenon_L216_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.36/10.54 exact (zenon_Hc7 zenon_H3a).
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.36/10.54 apply (zenon_L190_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.36/10.54 apply (zenon_L1028_); trivial.
% 10.36/10.54 apply (zenon_L1012_); trivial.
% 10.36/10.54 exact (zenon_H239 zenon_H100).
% 10.36/10.54 apply (zenon_L1026_); trivial.
% 10.36/10.54 apply (zenon_L979_); trivial.
% 10.36/10.54 apply (zenon_L1013_); trivial.
% 10.36/10.54 exact (zenon_H23c zenon_H51).
% 10.36/10.54 apply (zenon_L1020_); trivial.
% 10.36/10.54 apply (zenon_L216_); trivial.
% 10.36/10.54 (* end of lemma zenon_L1029_ *)
% 10.36/10.54 assert (zenon_L1030_ : ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (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) (e0)) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (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)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> (~((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)))) -> (~((e1) = (e2))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e1) (e0)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (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) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.36/10.54 do 0 intro. intros zenon_H150 zenon_H18d zenon_H86 zenon_H56 zenon_Hd3 zenon_H77 zenon_H42 zenon_H181 zenon_H28 zenon_H95 zenon_H4c zenon_Hda zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H2a zenon_H1ba zenon_Hce zenon_Hd0 zenon_Hdd zenon_H53 zenon_H5e zenon_Hb1 zenon_H18a zenon_H187 zenon_H35 zenon_Hc7 zenon_H1e2 zenon_H198 zenon_H17c zenon_Hb0 zenon_H15a zenon_H97 zenon_H27 zenon_H7d zenon_H7a zenon_H64 zenon_H143 zenon_Hf8.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.36/10.54 apply (zenon_L950_); trivial.
% 10.36/10.54 exact (zenon_H143 zenon_Hed).
% 10.36/10.54 apply (zenon_L221_); trivial.
% 10.36/10.54 (* end of lemma zenon_L1030_ *)
% 10.36/10.54 assert (zenon_L1031_ : (~((op (e0) (e0)) = (e2))) -> (((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 (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (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) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (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 (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((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) (e0)) = (op (e0) (e1)))) -> ((~((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 (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (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)) = (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))))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((e2) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (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 (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (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) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (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)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> False).
% 10.36/10.54 do 0 intro. intros zenon_H27 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H12c zenon_H173 zenon_H174 zenon_H11b zenon_Hc0 zenon_H184 zenon_H90 zenon_H110 zenon_H200 zenon_H1f zenon_H11d zenon_H1af zenon_H233 zenon_H16f zenon_H195 zenon_H204 zenon_H168 zenon_H58 zenon_Hab zenon_H8c zenon_Hce zenon_H157 zenon_H44 zenon_H53 zenon_H1fb zenon_H112 zenon_H150 zenon_Hbb zenon_H151 zenon_H145 zenon_H128 zenon_H155 zenon_H12f zenon_H205 zenon_Hd2 zenon_H156 zenon_H4a zenon_H181 zenon_H165 zenon_H26 zenon_H237 zenon_Hdd zenon_H18d zenon_H1ba zenon_H2a zenon_H5e zenon_H1e2 zenon_H17c zenon_H198 zenon_H86 zenon_H18a zenon_H35 zenon_H28 zenon_H4c zenon_H15a zenon_H95 zenon_He3 zenon_Hda zenon_Hb0 zenon_H56 zenon_Hd3 zenon_H77 zenon_Hc5 zenon_Hc7 zenon_H3c zenon_H7d zenon_H7a zenon_H64 zenon_H143 zenon_Hf8 zenon_H42 zenon_H187 zenon_H97.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.36/10.54 apply (zenon_L947_); trivial.
% 10.36/10.54 exact (zenon_H143 zenon_Hed).
% 10.36/10.54 apply (zenon_L949_); trivial.
% 10.36/10.54 apply (zenon_L1030_); trivial.
% 10.36/10.54 apply (zenon_L952_); trivial.
% 10.36/10.54 (* end of lemma zenon_L1031_ *)
% 10.36/10.54 assert (zenon_L1032_ : ((~((op (e1) (e1)) = (e1)))\/((op (e1) (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) (e1)) = (e2))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (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)) = (e2))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((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 (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (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 (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (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 (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((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 (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((~((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 (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((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)) = (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)) = (op (e3) (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 (e0) (e2)) = (op (e2) (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) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> False).
% 10.36/10.54 do 0 intro. intros zenon_H1ef zenon_H110 zenon_H191 zenon_Haf zenon_H157 zenon_H145 zenon_H5e zenon_H155 zenon_Hc7 zenon_Hc5 zenon_H2a zenon_H12f zenon_H64 zenon_H187 zenon_H27 zenon_H95 zenon_H4c zenon_H42 zenon_H181 zenon_H35 zenon_H53 zenon_He7 zenon_Hc0 zenon_H44 zenon_H77 zenon_Hd3 zenon_H56 zenon_Hd2 zenon_H1af zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H12c zenon_H173 zenon_H174 zenon_H11b zenon_H184 zenon_H90 zenon_H200 zenon_H1f zenon_H11d zenon_H233 zenon_H16f zenon_H195 zenon_H204 zenon_H168 zenon_H58 zenon_Hab zenon_H8c zenon_Hce zenon_H1fb zenon_H112 zenon_H150 zenon_Hbb zenon_H151 zenon_H128 zenon_H205 zenon_H156 zenon_H4a zenon_H165 zenon_H26 zenon_H237 zenon_Hdd zenon_H18d zenon_H1ba zenon_H1e2 zenon_H17c zenon_H198 zenon_H86 zenon_H18a zenon_He3 zenon_Hda zenon_Hb0 zenon_H3c zenon_H7d zenon_H7a zenon_H143 zenon_Hf8 zenon_H97.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.36/10.54 apply (zenon_L944_); trivial.
% 10.36/10.54 apply (zenon_L1031_); trivial.
% 10.36/10.54 apply (zenon_L213_); trivial.
% 10.36/10.54 (* end of lemma zenon_L1032_ *)
% 10.36/10.54 assert (zenon_L1033_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (((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)) = (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)) = (op (e3) (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 (e0) (e2)) = (op (e2) (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) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (op (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 (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (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 (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> (~((e1) = (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))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (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 (e1) (e0)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 10.36/10.54 do 0 intro. intros zenon_H97 zenon_H18d zenon_H1ba zenon_H1e2 zenon_H17c zenon_H198 zenon_H86 zenon_H18a zenon_He3 zenon_Hda zenon_Hb0 zenon_H3c zenon_H7d zenon_H7a zenon_Hdd zenon_H237 zenon_Hf8 zenon_H26 zenon_H165 zenon_H4a zenon_H156 zenon_H205 zenon_H128 zenon_H151 zenon_Hbb zenon_H150 zenon_H112 zenon_H1fb zenon_Hce zenon_H8c zenon_Hab zenon_H58 zenon_H168 zenon_H204 zenon_H195 zenon_H16f zenon_H233 zenon_H11d zenon_H1f zenon_H200 zenon_H90 zenon_H184 zenon_H11b zenon_H174 zenon_H173 zenon_H12c zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H1af zenon_Hd2 zenon_Hd3 zenon_H77 zenon_H44 zenon_Hc0 zenon_He7 zenon_H53 zenon_H35 zenon_H181 zenon_H42 zenon_H4c zenon_H95 zenon_H27 zenon_H187 zenon_H64 zenon_H12f zenon_Hc5 zenon_Hc7 zenon_H155 zenon_H5e zenon_H145 zenon_H157 zenon_Haf zenon_H191 zenon_H110 zenon_H1ef zenon_H17a.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H7f | zenon_intro zenon_H143 ].
% 10.36/10.54 apply (zenon_L965_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.36/10.54 apply (zenon_L1032_); trivial.
% 10.36/10.54 apply (zenon_L937_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.36/10.54 apply (zenon_L78_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.36/10.54 exact (zenon_Hc7 zenon_H3a).
% 10.36/10.54 apply (zenon_L964_); trivial.
% 10.36/10.54 (* end of lemma zenon_L1033_ *)
% 10.36/10.54 assert (zenon_L1034_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e1) (e2)) = (op (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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e3) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.36/10.54 do 0 intro. intros zenon_H151 zenon_Hbb zenon_H18d zenon_Hbc zenon_He3 zenon_H12f zenon_H2a zenon_He8 zenon_Hc5 zenon_Hc8 zenon_Hc7 zenon_H91 zenon_H155 zenon_H7d zenon_H86 zenon_H145 zenon_H143 zenon_Hf8.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.36/10.54 apply (zenon_L992_); trivial.
% 10.36/10.54 exact (zenon_H143 zenon_Hed).
% 10.36/10.54 apply (zenon_L41_); trivial.
% 10.36/10.54 (* end of lemma zenon_L1034_ *)
% 10.36/10.54 assert (zenon_L1035_ : ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((~((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 (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e2)) = (e1))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (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)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (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) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (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 (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (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))))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (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 (e3) (e2)) = (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (op (e2) (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 (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (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) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> False).
% 10.36/10.54 do 0 intro. intros zenon_H1ef zenon_H150 zenon_Hbb zenon_H151 zenon_H18d zenon_Hb0 zenon_Hda zenon_He3 zenon_H95 zenon_H4c zenon_H35 zenon_H18a zenon_H86 zenon_H198 zenon_H17c zenon_H1e2 zenon_H5e zenon_H2a zenon_H1ba zenon_H239 zenon_H157 zenon_H145 zenon_H155 zenon_H12f zenon_H1b7 zenon_H181 zenon_H187 zenon_H58 zenon_Hd2 zenon_H238 zenon_H56 zenon_Hd3 zenon_H77 zenon_Hc5 zenon_Hc7 zenon_H3c zenon_H7d zenon_H7a zenon_H64 zenon_H143 zenon_Hf8 zenon_H1b4 zenon_H97 zenon_Hdd zenon_Hce zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H44 zenon_Hc0 zenon_He7 zenon_H53 zenon_H42 zenon_H27 zenon_H237 zenon_H26 zenon_H165 zenon_H4a zenon_H156 zenon_H205 zenon_H128 zenon_H112 zenon_H1fb zenon_H8c zenon_Hab zenon_H168 zenon_H204 zenon_H195 zenon_H16f zenon_H233 zenon_H1af zenon_H11d zenon_H1f zenon_H200 zenon_H110 zenon_H90 zenon_H184 zenon_H11b zenon_H174 zenon_H173 zenon_H12c.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.36/10.54 apply (zenon_L991_); trivial.
% 10.36/10.54 exact (zenon_H143 zenon_Hed).
% 10.36/10.54 apply (zenon_L1034_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.36/10.54 apply (zenon_L993_); trivial.
% 10.36/10.54 exact (zenon_H143 zenon_Hed).
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.36/10.54 exact (zenon_H56 zenon_H2c).
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.36/10.54 apply (zenon_L196_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.36/10.54 apply (zenon_L201_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 10.36/10.54 exact (zenon_H56 zenon_H2c).
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 10.36/10.54 apply (zenon_L1030_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 10.36/10.54 apply (zenon_L995_); trivial.
% 10.36/10.54 apply (zenon_L139_); trivial.
% 10.36/10.54 apply (zenon_L203_); trivial.
% 10.36/10.54 apply (zenon_L952_); trivial.
% 10.36/10.54 apply (zenon_L78_); trivial.
% 10.36/10.54 apply (zenon_L1031_); trivial.
% 10.36/10.54 apply (zenon_L213_); trivial.
% 10.36/10.54 (* end of lemma zenon_L1035_ *)
% 10.36/10.54 assert (zenon_L1036_ : (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (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 (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (((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 (e2) (e0)) = (op (e2) (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 (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((~((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 (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e2)) = (e1))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e1)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (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) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> False).
% 10.36/10.54 do 0 intro. intros zenon_H12c zenon_H173 zenon_H174 zenon_H11b zenon_H184 zenon_H90 zenon_H110 zenon_H200 zenon_H1f zenon_H11d zenon_H1af zenon_H233 zenon_H16f zenon_H195 zenon_H204 zenon_H168 zenon_Hab zenon_H8c zenon_H1fb zenon_H112 zenon_H128 zenon_H205 zenon_H156 zenon_H4a zenon_H165 zenon_H26 zenon_Hf8 zenon_H237 zenon_H44 zenon_Hc0 zenon_He7 zenon_H53 zenon_H42 zenon_H27 zenon_H97 zenon_Hdd zenon_Hce zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H1b4 zenon_H18d zenon_Hb0 zenon_Hda zenon_He3 zenon_H95 zenon_H4c zenon_H35 zenon_H18a zenon_H86 zenon_H198 zenon_H17c zenon_H1e2 zenon_H5e zenon_H1ba zenon_H239 zenon_H157 zenon_H145 zenon_H155 zenon_H12f zenon_H1b7 zenon_H181 zenon_H187 zenon_H58 zenon_Hd2 zenon_H238 zenon_Hd3 zenon_H77 zenon_Hc5 zenon_Hc7 zenon_H3c zenon_H7d zenon_H7a zenon_H64 zenon_H151 zenon_Hbb zenon_H150 zenon_H1ef zenon_H17a zenon_H191 zenon_H1ea.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H7f | zenon_intro zenon_H143 ].
% 10.36/10.54 apply (zenon_L1004_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.36/10.54 apply (zenon_L1035_); trivial.
% 10.36/10.54 apply (zenon_L937_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.36/10.54 apply (zenon_L78_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.36/10.54 exact (zenon_Hc7 zenon_H3a).
% 10.36/10.54 apply (zenon_L1003_); trivial.
% 10.36/10.54 (* end of lemma zenon_L1036_ *)
% 10.36/10.54 assert (zenon_L1037_ : (~((op (e0) (e0)) = (e0))) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> (~((op (e0) (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) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e1)) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((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)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (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) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e0) (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((e0) = (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)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (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) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e2) (e3)) = (e2)) -> ((op (e3) (e3)) = (e3)) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> False).
% 10.36/10.54 do 0 intro. intros zenon_H25 zenon_H1e2 zenon_H27 zenon_H97 zenon_H28 zenon_H42 zenon_H95 zenon_H4c zenon_H77 zenon_H237 zenon_Hf8 zenon_H26 zenon_H165 zenon_H181 zenon_H4a zenon_H156 zenon_Hd2 zenon_H18d zenon_H205 zenon_H12f zenon_H155 zenon_H128 zenon_H7d zenon_H145 zenon_H151 zenon_Hbb zenon_H150 zenon_H112 zenon_Hc5 zenon_H1fb zenon_Hc7 zenon_Hb0 zenon_H53 zenon_H44 zenon_H1ba zenon_H157 zenon_Hce zenon_Hda zenon_H8c zenon_H35 zenon_Hab zenon_H58 zenon_H168 zenon_H204 zenon_H195 zenon_H1bc zenon_H16f zenon_H233 zenon_H1af zenon_H11d zenon_H1f zenon_H3c zenon_H7a zenon_H64 zenon_H200 zenon_H5e zenon_H110 zenon_H90 zenon_H184 zenon_Hc0 zenon_H11b zenon_H174 zenon_H173 zenon_H12c zenon_H23c zenon_H18a zenon_H187 zenon_H15a zenon_H198 zenon_H17c zenon_Hd0 zenon_H84 zenon_H86.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.36/10.54 exact (zenon_H25 zenon_H2a).
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.36/10.54 apply (zenon_L962_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.36/10.54 exact (zenon_H23c zenon_H51).
% 10.36/10.54 apply (zenon_L426_); trivial.
% 10.36/10.54 (* end of lemma zenon_L1037_ *)
% 10.36/10.54 assert (zenon_L1038_ : ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (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)))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (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) = (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 (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (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 (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((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) (e0)) = (op (e0) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> ((op (e2) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e3) (e3)) = (e3)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e3)) = (e2))))) -> False).
% 10.36/10.54 do 0 intro. intros zenon_H67 zenon_H23c zenon_H12c zenon_H173 zenon_H174 zenon_H11b zenon_Hc0 zenon_H184 zenon_H90 zenon_H110 zenon_H5e zenon_H200 zenon_H64 zenon_H7a zenon_H3c zenon_H1f zenon_H11d zenon_H1af zenon_H233 zenon_H16f zenon_H1bc zenon_H195 zenon_H204 zenon_H168 zenon_H58 zenon_Hab zenon_H198 zenon_H35 zenon_H8c zenon_Hda zenon_Hce zenon_H157 zenon_H1ba zenon_H44 zenon_H53 zenon_Hb0 zenon_Hc7 zenon_H1fb zenon_Hc5 zenon_H112 zenon_H150 zenon_H86 zenon_Hbb zenon_H151 zenon_H145 zenon_H7d zenon_H128 zenon_H155 zenon_H12f zenon_H205 zenon_H18d zenon_Hd2 zenon_H156 zenon_H4a zenon_H181 zenon_H165 zenon_H26 zenon_Hf8 zenon_H237 zenon_H77 zenon_H4c zenon_H95 zenon_H42 zenon_H84 zenon_H97 zenon_H68 zenon_H1e2.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.36/10.54 apply (zenon_L963_); trivial.
% 10.36/10.54 exact (zenon_H23c zenon_H51).
% 10.36/10.54 (* end of lemma zenon_L1038_ *)
% 10.36/10.54 assert (zenon_L1039_ : ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (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 (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (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 (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 (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (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)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((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))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e0)) = (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 (e0) (e2)) = (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) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> False).
% 10.36/10.54 do 0 intro. intros zenon_H1ef zenon_H191 zenon_Haf zenon_H12c zenon_H173 zenon_H174 zenon_H11b zenon_H184 zenon_H90 zenon_H110 zenon_H200 zenon_H7a zenon_H1f zenon_H11d zenon_H1af zenon_H233 zenon_H16f zenon_H1bc zenon_H195 zenon_H204 zenon_H168 zenon_H58 zenon_Hab zenon_H198 zenon_H8c zenon_Hda zenon_Hce zenon_H157 zenon_H1ba zenon_H53 zenon_Hb0 zenon_H1fb zenon_H112 zenon_H150 zenon_H86 zenon_Hbb zenon_H151 zenon_H145 zenon_H7d zenon_H128 zenon_H155 zenon_H12f zenon_H205 zenon_H18d zenon_H156 zenon_H4a zenon_H165 zenon_H26 zenon_Hf8 zenon_H237 zenon_H64 zenon_H187 zenon_H3c zenon_Hc7 zenon_Hc5 zenon_H77 zenon_Hd3 zenon_He7 zenon_H95 zenon_H4c zenon_H17a zenon_H84 zenon_Hc0 zenon_H5e zenon_H44 zenon_H35 zenon_H181 zenon_H42 zenon_Hd2 zenon_H25 zenon_H1e2 zenon_H97 zenon_H23c zenon_H17c zenon_H18a zenon_H67.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.36/10.54 apply (zenon_L958_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.36/10.54 exact (zenon_H25 zenon_H2a).
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.36/10.54 apply (zenon_L961_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.36/10.54 exact (zenon_H23c zenon_H51).
% 10.36/10.54 apply (zenon_L959_); trivial.
% 10.36/10.54 apply (zenon_L1037_); trivial.
% 10.36/10.54 apply (zenon_L960_); trivial.
% 10.36/10.54 exact (zenon_H23c zenon_H51).
% 10.36/10.54 apply (zenon_L1038_); trivial.
% 10.36/10.54 (* end of lemma zenon_L1039_ *)
% 10.36/10.54 assert (zenon_L1040_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e2)) -> (~((op (e1) (e1)) = (e1))) -> ((op (e1) (e2)) = (e0)) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> False).
% 10.36/10.54 do 0 intro. intros zenon_H238 zenon_H35 zenon_H6a zenon_H192 zenon_H101 zenon_H5e zenon_H62 zenon_H187.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H15a | zenon_intro zenon_H23a ].
% 10.36/10.54 apply (zenon_L238_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1d | zenon_intro zenon_H23b ].
% 10.36/10.54 exact (zenon_H192 zenon_H1d).
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H100 | zenon_intro zenon_H9a ].
% 10.36/10.54 apply (zenon_L71_); trivial.
% 10.36/10.54 apply (zenon_L202_); trivial.
% 10.36/10.54 (* end of lemma zenon_L1040_ *)
% 10.36/10.54 assert (zenon_L1041_ : (((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)) = (e0))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e0)) -> False).
% 10.36/10.54 do 0 intro. intros zenon_Hb0 zenon_H2a zenon_H1ba zenon_H77 zenon_H5e zenon_Hb1 zenon_H17c zenon_H87.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hb5 ].
% 10.36/10.54 apply (zenon_L216_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H78 | zenon_intro zenon_Hb6 ].
% 10.36/10.54 apply (zenon_L22_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H89 ].
% 10.36/10.54 exact (zenon_Hb1 zenon_Hb7).
% 10.36/10.54 apply (zenon_L270_); trivial.
% 10.36/10.54 (* end of lemma zenon_L1041_ *)
% 10.36/10.54 assert (zenon_L1042_ : (((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 (e0) (e3)) = (op (e1) (e3)))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e1) (e1)) = (e1))) -> ((op (e1) (e0)) = (e2)) -> (~((e1) = (e2))) -> (((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 (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e2) (e1)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> False).
% 10.36/10.54 do 0 intro. intros zenon_H145 zenon_H12f zenon_He8 zenon_H187 zenon_H62 zenon_H192 zenon_H6a zenon_H35 zenon_H238 zenon_Hb0 zenon_H2a zenon_H1ba zenon_H77 zenon_H5e zenon_Hb1 zenon_H17c.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H69 | zenon_intro zenon_H146 ].
% 10.36/10.54 apply (zenon_L100_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Heb | zenon_intro zenon_H147 ].
% 10.36/10.54 exact (zenon_He8 zenon_Heb).
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H101 | zenon_intro zenon_H87 ].
% 10.36/10.54 apply (zenon_L1040_); trivial.
% 10.36/10.54 apply (zenon_L1041_); trivial.
% 10.36/10.54 (* end of lemma zenon_L1042_ *)
% 10.36/10.54 assert (zenon_L1043_ : (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e1) (e0)) = (e3)) -> (~((op (e1) (e1)) = (e1))) -> ((op (e1) (e2)) = (e0)) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (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 (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (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 (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 (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e0) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (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)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((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))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> False).
% 10.36/10.54 do 0 intro. intros zenon_H238 zenon_H6c zenon_H192 zenon_H101 zenon_H12c zenon_H173 zenon_H174 zenon_H11b zenon_H184 zenon_H90 zenon_H110 zenon_H200 zenon_H7a zenon_H1f zenon_H11d zenon_H1af zenon_H233 zenon_H16f zenon_H1bc zenon_H195 zenon_H204 zenon_H168 zenon_H58 zenon_Hab zenon_H198 zenon_H8c zenon_Hda zenon_Hce zenon_H157 zenon_H1ba zenon_H53 zenon_Hb0 zenon_H1fb zenon_H112 zenon_H150 zenon_H86 zenon_Hbb zenon_H151 zenon_H145 zenon_H7d zenon_H128 zenon_H155 zenon_H12f zenon_H205 zenon_H18d zenon_H156 zenon_H4a zenon_H165 zenon_H26 zenon_Hf8 zenon_H237 zenon_H64 zenon_H187 zenon_H3c zenon_Hc7 zenon_Hc5 zenon_H77 zenon_Hd3 zenon_H56 zenon_H27 zenon_He7 zenon_H95 zenon_H4c zenon_H17a zenon_H84 zenon_Hc0 zenon_H5e zenon_He8 zenon_H44 zenon_H35 zenon_H181 zenon_H42 zenon_Hd2.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H15a | zenon_intro zenon_H23a ].
% 10.36/10.54 apply (zenon_L236_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1d | zenon_intro zenon_H23b ].
% 10.36/10.54 exact (zenon_H192 zenon_H1d).
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H100 | zenon_intro zenon_H9a ].
% 10.36/10.54 apply (zenon_L71_); trivial.
% 10.36/10.54 apply (zenon_L956_); trivial.
% 10.36/10.54 (* end of lemma zenon_L1043_ *)
% 10.36/10.54 assert (zenon_L1044_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e1) (e3)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e1))) -> ((op (e2) (e1)) = (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))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (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 (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (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 (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 (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (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)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((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))))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> (~((e2) = (e3))) -> False).
% 10.36/10.54 do 0 intro. intros zenon_Hdd zenon_H62 zenon_H28 zenon_H17c zenon_Hb1 zenon_H5e zenon_H77 zenon_H1ba zenon_H2a zenon_Hb0 zenon_H238 zenon_H192 zenon_H12c zenon_H173 zenon_H174 zenon_H11b zenon_H184 zenon_H90 zenon_H110 zenon_H200 zenon_H7a zenon_H1f zenon_H11d zenon_H1af zenon_H233 zenon_H16f zenon_H1bc zenon_H195 zenon_H204 zenon_H168 zenon_H58 zenon_Hab zenon_H198 zenon_H8c zenon_Hda zenon_Hce zenon_H157 zenon_H53 zenon_H1fb zenon_H112 zenon_H150 zenon_H86 zenon_Hbb zenon_H151 zenon_H145 zenon_H7d zenon_H128 zenon_H155 zenon_H12f zenon_H205 zenon_H18d zenon_H156 zenon_H4a zenon_H165 zenon_H26 zenon_Hf8 zenon_H237 zenon_H64 zenon_H187 zenon_H3c zenon_Hc7 zenon_Hc5 zenon_Hd3 zenon_H56 zenon_H27 zenon_He7 zenon_H17a zenon_H84 zenon_Hc0 zenon_He8 zenon_H44 zenon_H35 zenon_H181 zenon_H42 zenon_Hd2 zenon_H4c zenon_H76 zenon_H95.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hdf ].
% 10.36/10.54 exact (zenon_H27 zenon_H32).
% 10.36/10.54 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H6a | zenon_intro zenon_He0 ].
% 10.36/10.54 apply (zenon_L1042_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd8 ].
% 10.36/10.54 apply (zenon_L47_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdb ].
% 10.36/10.54 exact (zenon_H28 zenon_H31).
% 10.36/10.54 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H6c | zenon_intro zenon_Hdc ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H69 | zenon_intro zenon_H146 ].
% 10.36/10.54 apply (zenon_L100_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Heb | zenon_intro zenon_H147 ].
% 10.36/10.54 exact (zenon_He8 zenon_Heb).
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H101 | zenon_intro zenon_H87 ].
% 10.36/10.54 apply (zenon_L1043_); trivial.
% 10.36/10.54 apply (zenon_L1041_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H74 | zenon_intro zenon_Hbc ].
% 10.36/10.54 apply (zenon_L21_); trivial.
% 10.36/10.54 apply (zenon_L51_); trivial.
% 10.36/10.54 (* end of lemma zenon_L1044_ *)
% 10.36/10.54 assert (zenon_L1045_ : ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (~((e0) = (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)) = (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))))) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (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 (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (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) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (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 (e1) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (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 (e2) (e0)) = (op (e2) (e3)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((e0) = (e3))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((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))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((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)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e3) (e2)) = (e3))) -> False).
% 10.36/10.54 do 0 intro. intros zenon_H1ef zenon_H18d zenon_H1ba zenon_H2a zenon_H5e zenon_H1e2 zenon_H17c zenon_H198 zenon_H86 zenon_H18a zenon_H35 zenon_H4c zenon_H95 zenon_He3 zenon_Hda zenon_Hb0 zenon_H7d zenon_H7a zenon_H64 zenon_Hdd zenon_H12c zenon_H173 zenon_H174 zenon_H11b zenon_H184 zenon_H90 zenon_H110 zenon_H200 zenon_H1f zenon_H11d zenon_H1af zenon_H233 zenon_H16f zenon_H1bc zenon_H195 zenon_H204 zenon_H168 zenon_H58 zenon_Hab zenon_H8c zenon_Hce zenon_H157 zenon_H53 zenon_H1fb zenon_H112 zenon_H150 zenon_Hbb zenon_H151 zenon_H128 zenon_H155 zenon_H205 zenon_H156 zenon_H4a zenon_H165 zenon_H26 zenon_Hf8 zenon_H237 zenon_He7 zenon_H17a zenon_H84 zenon_Hc0 zenon_H44 zenon_H181 zenon_H42 zenon_Hd2 zenon_H12f zenon_H238 zenon_H187 zenon_H145 zenon_H27 zenon_H1b4 zenon_H3c zenon_Hc7 zenon_Hc5 zenon_H77 zenon_Hd3 zenon_H56 zenon_H143.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.36/10.54 exact (zenon_H56 zenon_H2c).
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.36/10.54 apply (zenon_L196_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.36/10.54 apply (zenon_L103_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 10.36/10.54 exact (zenon_H56 zenon_H2c).
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 10.36/10.54 apply (zenon_L947_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 10.36/10.54 apply (zenon_L1044_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hdf ].
% 10.36/10.54 exact (zenon_H27 zenon_H32).
% 10.36/10.54 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H6a | zenon_intro zenon_He0 ].
% 10.36/10.54 apply (zenon_L1042_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd8 ].
% 10.36/10.54 apply (zenon_L948_); trivial.
% 10.36/10.54 apply (zenon_L211_); trivial.
% 10.36/10.54 exact (zenon_H143 zenon_Hed).
% 10.36/10.54 apply (zenon_L1034_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.36/10.54 exact (zenon_H56 zenon_H2c).
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.36/10.54 apply (zenon_L196_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.36/10.54 apply (zenon_L201_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 10.36/10.54 exact (zenon_H56 zenon_H2c).
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 10.36/10.54 apply (zenon_L1001_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 10.36/10.54 apply (zenon_L1044_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hdf ].
% 10.36/10.54 exact (zenon_H27 zenon_H32).
% 10.36/10.54 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H6a | zenon_intro zenon_He0 ].
% 10.36/10.54 apply (zenon_L1042_); trivial.
% 10.36/10.54 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd8 ].
% 10.36/10.54 apply (zenon_L44_); trivial.
% 10.36/10.54 apply (zenon_L211_); trivial.
% 10.36/10.54 apply (zenon_L203_); trivial.
% 10.36/10.54 apply (zenon_L952_); trivial.
% 10.36/10.54 apply (zenon_L78_); trivial.
% 10.36/10.54 apply (zenon_L1001_); trivial.
% 10.36/10.54 apply (zenon_L213_); trivial.
% 10.36/10.55 (* end of lemma zenon_L1045_ *)
% 10.36/10.55 assert (zenon_L1046_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (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) (e1)) = (e2))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((e1) = (e2))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((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 (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (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 (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (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 (e2) (e0)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (op (e2) (e3)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((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 (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((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 (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 (e2) (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 (e3) (e0)) = (op (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) (e0)) = (op (e1) (e3)))) -> (~((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)) = (op (e2) (e0)))) -> ((~((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) (e2)) = (e0))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 10.36/10.55 do 0 intro. intros zenon_H1b4 zenon_H238 zenon_H1ef zenon_H110 zenon_H191 zenon_Haf zenon_H157 zenon_H145 zenon_H5e zenon_H155 zenon_Hc7 zenon_Hc5 zenon_H12f zenon_H64 zenon_H187 zenon_H95 zenon_H4c zenon_H42 zenon_H181 zenon_H35 zenon_H53 zenon_He7 zenon_Hc0 zenon_H44 zenon_H77 zenon_Hd3 zenon_Hd2 zenon_H1af zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H12c zenon_H173 zenon_H174 zenon_H11b zenon_H184 zenon_H90 zenon_H200 zenon_H1f zenon_H11d zenon_H233 zenon_H16f zenon_H195 zenon_H204 zenon_H168 zenon_H58 zenon_Hab zenon_H8c zenon_Hce zenon_H1fb zenon_H112 zenon_H150 zenon_Hbb zenon_H151 zenon_H128 zenon_H205 zenon_H156 zenon_H4a zenon_H165 zenon_H26 zenon_Hf8 zenon_H237 zenon_Hdd zenon_H7a zenon_H7d zenon_H3c zenon_Hb0 zenon_Hda zenon_He3 zenon_H18a zenon_H86 zenon_H198 zenon_H17c zenon_H1e2 zenon_H1ba zenon_H18d zenon_H97 zenon_H23c zenon_H67 zenon_H17a.
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H7f | zenon_intro zenon_H143 ].
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.36/10.55 apply (zenon_L954_); trivial.
% 10.36/10.55 exact (zenon_H23c zenon_H51).
% 10.36/10.55 apply (zenon_L937_); trivial.
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.36/10.55 apply (zenon_L78_); trivial.
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.36/10.55 exact (zenon_Hc7 zenon_H3a).
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.36/10.55 apply (zenon_L1039_); trivial.
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.36/10.55 apply (zenon_L958_); trivial.
% 10.36/10.55 apply (zenon_L1001_); trivial.
% 10.36/10.55 apply (zenon_L960_); trivial.
% 10.36/10.55 exact (zenon_H23c zenon_H51).
% 10.36/10.55 apply (zenon_L1038_); trivial.
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.36/10.55 apply (zenon_L1032_); trivial.
% 10.36/10.55 exact (zenon_H23c zenon_H51).
% 10.36/10.55 apply (zenon_L937_); trivial.
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.36/10.55 apply (zenon_L78_); trivial.
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.36/10.55 exact (zenon_Hc7 zenon_H3a).
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.36/10.55 apply (zenon_L1039_); trivial.
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.36/10.55 apply (zenon_L1045_); trivial.
% 10.36/10.55 exact (zenon_H23c zenon_H51).
% 10.36/10.55 apply (zenon_L1038_); trivial.
% 10.36/10.55 (* end of lemma zenon_L1046_ *)
% 10.36/10.55 assert (zenon_L1047_ : (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (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) (e3)) = (e3)) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> ((op (e2) (e1)) = (e1)) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((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)) = (op (e2) (e3)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (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) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((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) (e0)) = (op (e0) (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((e0) = (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)) = (op (e2) (e3)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (e0))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (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) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (e0) (e3)) = (op (e1) (e3)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> False).
% 10.36/10.55 do 0 intro. intros zenon_H1b7 zenon_He3 zenon_H1b4 zenon_H67 zenon_H1e2 zenon_H97 zenon_H84 zenon_H42 zenon_H95 zenon_H4c zenon_H77 zenon_H237 zenon_Hf8 zenon_H26 zenon_H165 zenon_H181 zenon_H4a zenon_H156 zenon_Hd2 zenon_H18d zenon_H205 zenon_H12f zenon_H155 zenon_H128 zenon_H7d zenon_H145 zenon_H151 zenon_Hbb zenon_H86 zenon_H150 zenon_H112 zenon_Hc5 zenon_H1fb zenon_Hc7 zenon_Hb0 zenon_H53 zenon_H44 zenon_H1ba zenon_H157 zenon_Hce zenon_Hda zenon_H8c zenon_H35 zenon_H198 zenon_Hab zenon_H58 zenon_H168 zenon_H204 zenon_H195 zenon_H1bc zenon_H16f zenon_H233 zenon_H1af zenon_H11d zenon_H1f zenon_H3c zenon_H7a zenon_H64 zenon_H200 zenon_H5e zenon_H110 zenon_H90 zenon_H184 zenon_Hc0 zenon_H11b zenon_H174 zenon_H173 zenon_H12c zenon_H23c zenon_H238 zenon_H17a zenon_He7 zenon_Hd3 zenon_H239 zenon_H18a zenon_H17c zenon_H187 zenon_H1ef.
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.36/10.55 exact (zenon_H25 zenon_H2a).
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.36/10.55 apply (zenon_L963_); trivial.
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.36/10.55 exact (zenon_H23c zenon_H51).
% 10.36/10.55 apply (zenon_L999_); trivial.
% 10.36/10.55 exact (zenon_H23c zenon_H51).
% 10.36/10.55 apply (zenon_L1038_); trivial.
% 10.36/10.55 apply (zenon_L1002_); trivial.
% 10.36/10.55 (* end of lemma zenon_L1047_ *)
% 10.36/10.55 assert (zenon_L1048_ : ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((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)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e2) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e0)) = (op (e0) (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) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e1) (e2)) = (e1))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((e0) = (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)) = (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))))) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (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 (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (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)) = (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) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/(~((op (e3) (e2)) = (e3)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e2) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (op (e2) (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 (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/((op (e1) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e1)) = (op (e1) (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) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e2) (e1)) = (op (e2) (e3)))) -> (~((op (e0) (e1)) = (op (e0) (e3)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (e0))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e3) (e1)) = (op (e3) (e3)))) -> False).
% 10.36/10.55 do 0 intro. intros zenon_H1ef zenon_H150 zenon_Hbb zenon_H151 zenon_H64 zenon_H7a zenon_H7d zenon_H3c zenon_Hc7 zenon_Hc5 zenon_H77 zenon_Hd3 zenon_H238 zenon_Hd2 zenon_H58 zenon_H187 zenon_H181 zenon_H1b7 zenon_H12f zenon_H155 zenon_H145 zenon_H157 zenon_H239 zenon_H1ba zenon_H5e zenon_H1e2 zenon_H17c zenon_H198 zenon_H86 zenon_H18a zenon_H35 zenon_H4c zenon_H95 zenon_He3 zenon_Hda zenon_Hb0 zenon_H18d zenon_H1b4 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_Hce zenon_Hdd zenon_H97 zenon_H42 zenon_H53 zenon_He7 zenon_Hc0 zenon_H44 zenon_H237 zenon_Hf8 zenon_H26 zenon_H165 zenon_H4a zenon_H156 zenon_H205 zenon_H128 zenon_H112 zenon_H1fb zenon_H8c zenon_Hab zenon_H168 zenon_H204 zenon_H195 zenon_H16f zenon_H233 zenon_H1af zenon_H11d zenon_H1f zenon_H200 zenon_H110 zenon_H90 zenon_H184 zenon_H11b zenon_H174 zenon_H173 zenon_H12c zenon_H23c zenon_H67 zenon_H17a.
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H7f | zenon_intro zenon_H143 ].
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.36/10.55 apply (zenon_L996_); trivial.
% 10.36/10.55 exact (zenon_H23c zenon_H51).
% 10.36/10.55 apply (zenon_L937_); trivial.
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.36/10.55 apply (zenon_L78_); trivial.
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.36/10.55 exact (zenon_Hc7 zenon_H3a).
% 10.36/10.55 apply (zenon_L1047_); trivial.
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.36/10.55 apply (zenon_L1035_); trivial.
% 10.36/10.55 exact (zenon_H23c zenon_H51).
% 10.36/10.55 apply (zenon_L937_); trivial.
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.36/10.55 apply (zenon_L78_); trivial.
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.36/10.55 exact (zenon_Hc7 zenon_H3a).
% 10.36/10.55 apply (zenon_L1047_); trivial.
% 10.36/10.55 (* end of lemma zenon_L1048_ *)
% 10.36/10.55 assert (zenon_L1049_ : (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> (~((e0) = (e1))) -> ((op (e0) (e3)) = (e1)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e2)) = (e0))) -> (~((e0) = (e3))) -> ((op (e3) (e2)) = (e3)) -> False).
% 10.36/10.55 do 0 intro. intros zenon_H108 zenon_Hc8 zenon_Hc7 zenon_H3c zenon_Hc5 zenon_H4c zenon_H91 zenon_H5e zenon_H62 zenon_H1cb zenon_H103 zenon_Hb1 zenon_H53 zenon_Hed.
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H51 | zenon_intro zenon_H109 ].
% 10.36/10.55 apply (zenon_L129_); trivial.
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H101 | zenon_intro zenon_H10a ].
% 10.36/10.55 apply (zenon_L230_); trivial.
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H106 ].
% 10.36/10.55 exact (zenon_Hb1 zenon_Hb7).
% 10.36/10.55 apply (zenon_L73_); trivial.
% 10.36/10.55 (* end of lemma zenon_L1049_ *)
% 10.36/10.55 assert (zenon_L1050_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((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 (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (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 (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (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 (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e0) = (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) (e3)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e3))) -> (~((e0) = (e1))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.36/10.55 do 0 intro. intros zenon_H177 zenon_H168 zenon_H35 zenon_H159 zenon_H165 zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H14d zenon_H145 zenon_H86 zenon_H132 zenon_H10b zenon_H144 zenon_H12f zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H174 zenon_Hfd zenon_H28 zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hda zenon_H16b zenon_H169 zenon_H7a zenon_Hf5 zenon_H16e zenon_H173 zenon_H95 zenon_H44 zenon_Hec zenon_H7d zenon_H80 zenon_He4 zenon_He3 zenon_H64 zenon_H91 zenon_H103 zenon_H4c zenon_H5e zenon_H1cb zenon_H53 zenon_H108 zenon_Hb1 zenon_H3c zenon_Hc7 zenon_Hc8 zenon_Hc5 zenon_H1d zenon_H1f zenon_H56 zenon_Hf8.
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.36/10.55 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.36/10.55 apply (zenon_L56_); trivial.
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.36/10.55 exact (zenon_H56 zenon_H2c).
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.36/10.55 apply (zenon_L1_); trivial.
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.36/10.55 apply (zenon_L103_); trivial.
% 10.36/10.55 apply (zenon_L1049_); trivial.
% 10.36/10.55 apply (zenon_L160_); trivial.
% 10.36/10.55 (* end of lemma zenon_L1050_ *)
% 10.36/10.55 assert (zenon_L1051_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (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 (e1) (e1)) = (e2))) -> ((op (e2) (e1)) = (e0)) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> False).
% 10.36/10.55 do 0 intro. intros zenon_Hde zenon_Hc1 zenon_H1f zenon_H192 zenon_He8 zenon_H191 zenon_Haf zenon_H78 zenon_H44 zenon_Hf2 zenon_H35.
% 10.36/10.55 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H34 | zenon_intro zenon_He1 ].
% 10.36/10.55 apply (zenon_L331_); trivial.
% 10.36/10.55 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_Hb4 | zenon_intro zenon_He2 ].
% 10.36/10.55 exact (zenon_Haf zenon_Hb4).
% 10.36/10.55 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ].
% 10.36/10.55 apply (zenon_L57_); trivial.
% 10.36/10.55 apply (zenon_L63_); trivial.
% 10.36/10.55 (* end of lemma zenon_L1051_ *)
% 10.36/10.55 assert (zenon_L1052_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e3) (e1)) = (e1)) -> False).
% 10.36/10.55 do 0 intro. intros zenon_He7 zenon_H35 zenon_H44 zenon_Haf zenon_H191 zenon_He8 zenon_H192 zenon_H1f zenon_Hc1 zenon_Hde zenon_H5e zenon_Hf2.
% 10.36/10.55 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H68 | zenon_intro zenon_He9 ].
% 10.36/10.55 apply (zenon_L323_); trivial.
% 10.36/10.55 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Heb | zenon_intro zenon_Hea ].
% 10.36/10.55 exact (zenon_He8 zenon_Heb).
% 10.36/10.55 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H78 | zenon_intro zenon_He5 ].
% 10.36/10.55 apply (zenon_L1051_); trivial.
% 10.36/10.55 apply (zenon_L206_); trivial.
% 10.36/10.55 (* end of lemma zenon_L1052_ *)
% 10.36/10.55 assert (zenon_L1053_ : (((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 (e3) (e1)) = (e1)) -> (~((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)) = (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)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> False).
% 10.36/10.55 do 0 intro. intros zenon_H64 zenon_H56 zenon_H1f0 zenon_Hf2 zenon_H6f zenon_H100 zenon_H42 zenon_H27 zenon_Hc1 zenon_H1f zenon_H192 zenon_He8 zenon_H191 zenon_H3c zenon_H3a zenon_H35.
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.36/10.55 exact (zenon_H56 zenon_H2c).
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.36/10.55 apply (zenon_L327_); trivial.
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.36/10.55 apply (zenon_L228_); trivial.
% 10.36/10.55 apply (zenon_L610_); trivial.
% 10.36/10.55 (* end of lemma zenon_L1053_ *)
% 10.36/10.55 assert (zenon_L1054_ : ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> ((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)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (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) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> False).
% 10.36/10.55 do 0 intro. intros zenon_H1ef zenon_H169 zenon_He7 zenon_H5e zenon_H44 zenon_H35 zenon_Hf2 zenon_Hde zenon_He8 zenon_H1f zenon_Hc1 zenon_H191 zenon_H64 zenon_H27 zenon_H3c zenon_H3a zenon_H42 zenon_H6f zenon_H1f0 zenon_H56 zenon_H1ea.
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.36/10.55 apply (zenon_L1052_); trivial.
% 10.36/10.55 apply (zenon_L1053_); trivial.
% 10.36/10.55 apply (zenon_L140_); trivial.
% 10.36/10.55 (* end of lemma zenon_L1054_ *)
% 10.36/10.55 assert (zenon_L1055_ : (((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))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 10.36/10.55 do 0 intro. intros zenon_Hdd zenon_H27 zenon_H35 zenon_H15a zenon_Hc6 zenon_H3a zenon_H14d zenon_H44 zenon_H5e zenon_H80 zenon_H53 zenon_Hf2 zenon_H4c zenon_H95 zenon_H16b zenon_H8d.
% 10.36/10.55 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hdf ].
% 10.36/10.55 exact (zenon_H27 zenon_H32).
% 10.36/10.55 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H6a | zenon_intro zenon_He0 ].
% 10.36/10.55 apply (zenon_L238_); trivial.
% 10.36/10.55 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd8 ].
% 10.36/10.55 apply (zenon_L321_); trivial.
% 10.36/10.55 apply (zenon_L209_); trivial.
% 10.36/10.55 (* end of lemma zenon_L1055_ *)
% 10.36/10.55 assert (zenon_L1056_ : ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((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))))) -> (~((e1) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> (((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 (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e2) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (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 (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (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 (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> False).
% 10.36/10.55 do 0 intro. intros zenon_H23d zenon_H168 zenon_H103 zenon_H35 zenon_H159 zenon_H108 zenon_H165 zenon_H4c zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H53 zenon_H44 zenon_H14d zenon_H145 zenon_H86 zenon_H7d zenon_H132 zenon_Hc5 zenon_Hc8 zenon_H3c zenon_H10b zenon_H135 zenon_H144 zenon_H12f zenon_H95 zenon_Hf8 zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H174 zenon_Hfd zenon_H28 zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hda zenon_H16b zenon_H1f zenon_H5e zenon_H169 zenon_H7a zenon_Hf5 zenon_H64 zenon_H16e zenon_H173.
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H80 | zenon_intro zenon_H80 ].
% 10.36/10.55 apply (zenon_L158_); trivial.
% 10.36/10.55 apply (zenon_L158_); trivial.
% 10.36/10.55 (* end of lemma zenon_L1056_ *)
% 10.36/10.55 assert (zenon_L1057_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e3)) -> ((op (e3) (e1)) = (e1)) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (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))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e0) = (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)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (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))))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((e1) = (e3))) -> (((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 (e1) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 10.36/10.55 do 0 intro. intros zenon_H177 zenon_Hbc zenon_Hf2 zenon_H173 zenon_H16e zenon_H64 zenon_Hf5 zenon_H7a zenon_H169 zenon_H5e zenon_H1f zenon_H16b zenon_Hda zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_H28 zenon_Hfd zenon_H174 zenon_H156 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_Hf8 zenon_H95 zenon_H12f zenon_H144 zenon_H10b zenon_H3c zenon_Hc8 zenon_Hc5 zenon_H132 zenon_H7d zenon_H86 zenon_H145 zenon_H14d zenon_H44 zenon_H53 zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H4c zenon_H165 zenon_H108 zenon_H159 zenon_H35 zenon_H103 zenon_H168 zenon_H23d zenon_H7f.
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H178 ].
% 10.36/10.55 apply (zenon_L51_); trivial.
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H179 ].
% 10.36/10.55 apply (zenon_L63_); trivial.
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H135 | zenon_intro zenon_H85 ].
% 10.36/10.55 apply (zenon_L1056_); trivial.
% 10.36/10.55 exact (zenon_H7f zenon_H85).
% 10.36/10.55 (* end of lemma zenon_L1057_ *)
% 10.36/10.55 assert (zenon_L1058_ : (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e3)) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e1)) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (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))))) -> (~((e1) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> (((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 (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (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 (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (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 (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> False).
% 10.36/10.55 do 0 intro. intros zenon_H1dd zenon_H95 zenon_Hbc zenon_H35 zenon_Hf2 zenon_H23d zenon_H168 zenon_H103 zenon_H159 zenon_H108 zenon_H165 zenon_H4c zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H53 zenon_H44 zenon_H14d zenon_H145 zenon_H86 zenon_H7d zenon_H132 zenon_Hc5 zenon_Hc8 zenon_H3c zenon_H10b zenon_H144 zenon_H12f zenon_Hf8 zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H174 zenon_Hfd zenon_H28 zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hda zenon_H16b zenon_H1f zenon_H5e zenon_H169 zenon_H7a zenon_Hf5 zenon_H64 zenon_H16e zenon_H173 zenon_H177.
% 10.36/10.55 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.36/10.55 apply (zenon_L1057_); trivial.
% 10.36/10.55 apply (zenon_L267_); trivial.
% 10.36/10.55 (* end of lemma zenon_L1058_ *)
% 10.36/10.55 assert (zenon_L1059_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (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))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e3) (e0)) = (op (e3) (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))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e1)) = (e1)) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> False).
% 10.36/10.55 do 0 intro. intros zenon_H177 zenon_H173 zenon_H16e zenon_H64 zenon_Hf5 zenon_H7a zenon_H169 zenon_H1f zenon_Hda zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_H28 zenon_Hfd zenon_H174 zenon_H156 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_Hf8 zenon_H12f zenon_H144 zenon_H10b zenon_H3c zenon_Hc8 zenon_Hc5 zenon_H132 zenon_H7d zenon_H86 zenon_H145 zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H165 zenon_H108 zenon_H159 zenon_H103 zenon_H168 zenon_H23d zenon_H1dd zenon_H27 zenon_H35 zenon_H15a zenon_Hc6 zenon_H3a zenon_H14d zenon_H95 zenon_H4c zenon_H53 zenon_H80 zenon_H16b zenon_Hf2 zenon_H5e zenon_H44 zenon_Hdd.
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.36/10.55 apply (zenon_L1055_); trivial.
% 10.36/10.55 apply (zenon_L1058_); trivial.
% 10.36/10.55 (* end of lemma zenon_L1059_ *)
% 10.36/10.55 assert (zenon_L1060_ : (((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 (e3) (e3)) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (op (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 (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (e2))) -> (((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 (e1) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> False).
% 10.36/10.55 do 0 intro. intros zenon_Hdd zenon_H16b zenon_H80 zenon_H53 zenon_H4c zenon_H95 zenon_H14d zenon_Hc6 zenon_H1dd zenon_H23d zenon_H168 zenon_H103 zenon_H159 zenon_H108 zenon_H165 zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H145 zenon_H86 zenon_H7d zenon_H132 zenon_Hc5 zenon_Hc8 zenon_H10b zenon_H144 zenon_H12f zenon_Hf8 zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H174 zenon_Hfd zenon_H28 zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hda zenon_H7a zenon_Hf5 zenon_H16e zenon_H173 zenon_H177 zenon_H1ea zenon_H56 zenon_H1f0 zenon_H6f zenon_H42 zenon_H3a zenon_H3c zenon_H27 zenon_H64 zenon_H191 zenon_Hc1 zenon_H1f zenon_Hde zenon_Hf2 zenon_H35 zenon_H44 zenon_H5e zenon_He7 zenon_H169 zenon_H1ef.
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.36/10.55 apply (zenon_L1054_); trivial.
% 10.36/10.55 apply (zenon_L1059_); trivial.
% 10.36/10.55 (* end of lemma zenon_L1060_ *)
% 10.36/10.55 assert (zenon_L1061_ : (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (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) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (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 (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((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)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((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)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (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) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e1))) -> False).
% 10.36/10.55 do 0 intro. intros zenon_Hec zenon_H7d zenon_H80 zenon_He4 zenon_He3 zenon_H1ef zenon_H169 zenon_He7 zenon_H44 zenon_H35 zenon_Hde zenon_H1f zenon_Hc1 zenon_H191 zenon_H64 zenon_H27 zenon_H3c zenon_H3a zenon_H42 zenon_H6f zenon_H1f0 zenon_H56 zenon_H1ea zenon_H177 zenon_H173 zenon_H16e zenon_Hf5 zenon_H7a zenon_Hda zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_H28 zenon_Hfd zenon_H174 zenon_H156 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_Hf8 zenon_H12f zenon_H144 zenon_H10b zenon_Hc8 zenon_Hc5 zenon_H132 zenon_H86 zenon_H145 zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H165 zenon_H108 zenon_H159 zenon_H103 zenon_H168 zenon_H23d zenon_H1dd zenon_Hc6 zenon_H14d zenon_H95 zenon_H4c zenon_H53 zenon_H16b zenon_Hdd zenon_H5e.
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.36/10.55 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.36/10.55 apply (zenon_L56_); trivial.
% 10.36/10.55 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hf6 ].
% 10.36/10.55 apply (zenon_L62_); trivial.
% 10.36/10.55 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hf7 ].
% 10.36/10.55 apply (zenon_L1060_); trivial.
% 10.36/10.55 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H83 ].
% 10.36/10.55 apply (zenon_L64_); trivial.
% 10.36/10.55 exact (zenon_H7e zenon_H83).
% 10.36/10.55 apply (zenon_L160_); trivial.
% 10.36/10.55 (* end of lemma zenon_L1061_ *)
% 10.36/10.55 assert (zenon_L1062_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> False).
% 10.36/10.55 do 0 intro. intros zenon_Hf8 zenon_H6f zenon_H51 zenon_H159 zenon_H15a zenon_H155 zenon_H3a zenon_H1e6 zenon_H1f8 zenon_He3 zenon_He4 zenon_H7e zenon_H80 zenon_H7d.
% 10.36/10.55 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.36/10.55 apply (zenon_L56_); trivial.
% 10.36/10.55 apply (zenon_L490_); trivial.
% 10.36/10.55 (* end of lemma zenon_L1062_ *)
% 10.36/10.55 assert (zenon_L1063_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (((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))))) -> (~((e1) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((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 (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (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 (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (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 (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e0) = (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) (e3)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.36/10.55 do 0 intro. intros zenon_H177 zenon_H168 zenon_H103 zenon_H35 zenon_H108 zenon_H165 zenon_H4c zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H53 zenon_H14d zenon_H145 zenon_H86 zenon_H132 zenon_Hc5 zenon_Hc8 zenon_H3c zenon_H10b zenon_H144 zenon_H12f zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H156 zenon_H174 zenon_Hfd zenon_H28 zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hda zenon_H16b zenon_H1f zenon_H5e zenon_H169 zenon_H7a zenon_Hf5 zenon_H64 zenon_H16e zenon_H173 zenon_H95 zenon_H44 zenon_Hec zenon_H7d zenon_H80 zenon_He4 zenon_He3 zenon_H1f8 zenon_H1e6 zenon_H3a zenon_H155 zenon_H15a zenon_H159 zenon_H51 zenon_H6f zenon_Hf8.
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.36/10.55 apply (zenon_L1062_); trivial.
% 10.36/10.55 apply (zenon_L160_); trivial.
% 10.36/10.55 (* end of lemma zenon_L1063_ *)
% 10.36/10.55 assert (zenon_L1064_ : ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> False).
% 10.36/10.55 do 0 intro. intros zenon_H156 zenon_H3a zenon_Hc6 zenon_Hfd zenon_H68 zenon_H5e zenon_H100 zenon_H1dd zenon_He4 zenon_H108.
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.36/10.55 apply (zenon_L509_); trivial.
% 10.36/10.55 apply (zenon_L321_); trivial.
% 10.36/10.55 (* end of lemma zenon_L1064_ *)
% 10.36/10.55 assert (zenon_L1065_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (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)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((e2) = (e3))) -> False).
% 10.36/10.55 do 0 intro. intros zenon_H42 zenon_H27 zenon_H44 zenon_H3c zenon_H3a zenon_H97 zenon_H28 zenon_H53 zenon_H68 zenon_H10b zenon_Hed zenon_H95.
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 10.36/10.55 exact (zenon_H27 zenon_H32).
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 10.36/10.55 apply (zenon_L16_); trivial.
% 10.36/10.55 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 10.36/10.55 apply (zenon_L5_); trivial.
% 10.36/10.55 apply (zenon_L76_); trivial.
% 10.36/10.55 (* end of lemma zenon_L1065_ *)
% 10.36/10.55 assert (zenon_L1066_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (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)))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (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)) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> False).
% 10.36/10.55 do 0 intro. intros zenon_Hf8 zenon_H27 zenon_H44 zenon_H68 zenon_H3c zenon_H3a zenon_H97 zenon_H95 zenon_H10b zenon_H53 zenon_H28 zenon_H42 zenon_He3 zenon_He4 zenon_H7e zenon_H80 zenon_H7d.
% 10.36/10.56 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.36/10.56 apply (zenon_L56_); trivial.
% 10.36/10.56 apply (zenon_L1065_); trivial.
% 10.36/10.56 (* end of lemma zenon_L1066_ *)
% 10.36/10.56 assert (zenon_L1067_ : (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False).
% 10.36/10.56 do 0 intro. intros zenon_H118 zenon_H68 zenon_Hd3 zenon_H1d zenon_H110 zenon_H216 zenon_H3a zenon_Hbd zenon_H114.
% 10.36/10.56 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H78 | zenon_intro zenon_H119 ].
% 10.36/10.56 apply (zenon_L46_); trivial.
% 10.36/10.56 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H77 | zenon_intro zenon_H11a ].
% 10.36/10.56 apply (zenon_L78_); trivial.
% 10.36/10.56 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hb9 ].
% 10.36/10.56 apply (zenon_L500_); trivial.
% 10.36/10.56 apply (zenon_L80_); trivial.
% 10.36/10.56 (* end of lemma zenon_L1067_ *)
% 10.36/10.56 assert (zenon_L1068_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e2) = (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) (e1)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.36/10.56 do 0 intro. intros zenon_H151 zenon_Hd3 zenon_H110 zenon_H1d zenon_H216 zenon_H114 zenon_H118 zenon_H7d zenon_H80 zenon_He4 zenon_He3 zenon_H42 zenon_H28 zenon_H53 zenon_H10b zenon_H95 zenon_H97 zenon_H3a zenon_H3c zenon_H68 zenon_H44 zenon_H27 zenon_Hf8.
% 10.36/10.56 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.36/10.56 apply (zenon_L1066_); trivial.
% 10.36/10.56 apply (zenon_L1067_); trivial.
% 10.36/10.56 (* end of lemma zenon_L1068_ *)
% 10.36/10.56 assert (zenon_L1069_ : ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (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)))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (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) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e3) (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)) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> False).
% 10.36/10.56 do 0 intro. intros zenon_H1ef zenon_Hf8 zenon_H27 zenon_H44 zenon_H3c zenon_H97 zenon_H95 zenon_H10b zenon_H53 zenon_H28 zenon_H42 zenon_He3 zenon_H80 zenon_H7d zenon_H118 zenon_H114 zenon_H216 zenon_H110 zenon_Hd3 zenon_H151 zenon_H191 zenon_Hc1 zenon_H68 zenon_H1f zenon_H156 zenon_H3a zenon_Hc6 zenon_Hfd zenon_H5e zenon_H1dd zenon_He4 zenon_H108 zenon_H1ea.
% 10.36/10.56 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.36/10.56 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.36/10.56 apply (zenon_L323_); trivial.
% 10.36/10.56 apply (zenon_L1064_); trivial.
% 10.36/10.56 apply (zenon_L1068_); trivial.
% 10.36/10.56 (* end of lemma zenon_L1069_ *)
% 10.36/10.56 assert (zenon_L1070_ : ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> False).
% 10.36/10.56 do 0 intro. intros zenon_H67 zenon_H1ea zenon_H108 zenon_He4 zenon_H1dd zenon_H5e zenon_Hfd zenon_Hc6 zenon_H3a zenon_H156 zenon_H1f zenon_H68 zenon_Hc1 zenon_H191 zenon_H151 zenon_Hd3 zenon_H110 zenon_H216 zenon_H114 zenon_H118 zenon_H7d zenon_H80 zenon_He3 zenon_H42 zenon_H28 zenon_H53 zenon_H10b zenon_H95 zenon_H97 zenon_H3c zenon_H44 zenon_Hf8 zenon_H1ef.
% 10.36/10.56 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.36/10.56 apply (zenon_L1069_); trivial.
% 10.36/10.56 apply (zenon_L69_); trivial.
% 10.36/10.56 (* end of lemma zenon_L1070_ *)
% 10.36/10.56 assert (zenon_L1071_ : (~((op (e2) (e1)) = (op (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) (e3)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (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) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (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 (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((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)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((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)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (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) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> False).
% 10.36/10.56 do 0 intro. intros zenon_H216 zenon_Hec zenon_H7d zenon_H80 zenon_He4 zenon_He3 zenon_H1ef zenon_H169 zenon_He7 zenon_H44 zenon_H35 zenon_Hde zenon_H1f zenon_Hc1 zenon_H191 zenon_H64 zenon_H3c zenon_H3a zenon_H42 zenon_H6f zenon_H1f0 zenon_H1ea zenon_H177 zenon_H173 zenon_H16e zenon_Hf5 zenon_H7a zenon_Hda zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_H28 zenon_Hfd zenon_H174 zenon_H156 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_Hf8 zenon_H12f zenon_H144 zenon_H10b zenon_Hc8 zenon_Hc5 zenon_H132 zenon_H86 zenon_H145 zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H165 zenon_H108 zenon_H159 zenon_H103 zenon_H168 zenon_H23d zenon_H1dd zenon_Hc6 zenon_H14d zenon_H95 zenon_H4c zenon_H53 zenon_H16b zenon_Hdd zenon_H5e zenon_H97 zenon_H1e6 zenon_Hc0 zenon_H1f8 zenon_H67.
% 10.36/10.56 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.36/10.56 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.36/10.56 apply (zenon_L1061_); trivial.
% 10.36/10.56 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.36/10.56 apply (zenon_L676_); trivial.
% 10.36/10.56 apply (zenon_L1063_); trivial.
% 10.36/10.56 apply (zenon_L1070_); trivial.
% 10.36/10.56 (* end of lemma zenon_L1071_ *)
% 10.36/10.56 assert (zenon_L1072_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e2))) -> False).
% 10.36/10.56 do 0 intro. intros zenon_Hdd zenon_H27 zenon_H35 zenon_Hed zenon_H1dd zenon_H95 zenon_H15a zenon_H4c zenon_H28 zenon_Hda zenon_He4 zenon_H44.
% 10.36/10.56 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hdf ].
% 10.36/10.56 exact (zenon_H27 zenon_H32).
% 10.36/10.56 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H6a | zenon_intro zenon_He0 ].
% 10.36/10.56 apply (zenon_L238_); trivial.
% 10.36/10.56 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd8 ].
% 10.36/10.56 apply (zenon_L306_); trivial.
% 10.36/10.56 apply (zenon_L99_); trivial.
% 10.36/10.56 (* end of lemma zenon_L1072_ *)
% 10.36/10.56 assert (zenon_L1073_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((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 (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (e1) (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)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (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 (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (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) (e3)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.36/10.56 do 0 intro. intros zenon_H177 zenon_H168 zenon_H103 zenon_H159 zenon_H108 zenon_H165 zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H53 zenon_H14d zenon_H145 zenon_H86 zenon_H132 zenon_Hc5 zenon_Hc8 zenon_H3c zenon_H10b zenon_H144 zenon_H12f zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H174 zenon_Hfd zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_H16b zenon_H1f zenon_H169 zenon_H7a zenon_Hf5 zenon_H64 zenon_H16e zenon_H173 zenon_Hec zenon_H7d zenon_H80 zenon_He4 zenon_He3 zenon_H1b4 zenon_H5e zenon_Hcf zenon_H27 zenon_H35 zenon_Hda zenon_H1dd zenon_H95 zenon_H4c zenon_H28 zenon_H44 zenon_Hdd zenon_H56 zenon_Hf8.
% 10.36/10.56 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.36/10.56 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.36/10.56 apply (zenon_L56_); trivial.
% 10.36/10.56 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 10.36/10.56 exact (zenon_H56 zenon_H2c).
% 10.36/10.56 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 10.36/10.56 apply (zenon_L1072_); trivial.
% 10.36/10.56 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 10.36/10.56 apply (zenon_L47_); trivial.
% 10.36/10.56 apply (zenon_L62_); trivial.
% 10.36/10.56 apply (zenon_L160_); trivial.
% 10.36/10.56 (* end of lemma zenon_L1073_ *)
% 10.36/10.56 assert (zenon_L1074_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e3))) -> (((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)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((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 (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (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 (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (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 (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e0) = (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) (e3)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e3))) -> (~((e0) = (e1))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((e0) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> False).
% 10.36/10.56 do 0 intro. intros zenon_He7 zenon_He8 zenon_Hc1 zenon_Hc0 zenon_H177 zenon_H168 zenon_H35 zenon_H159 zenon_H165 zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H14d zenon_H145 zenon_H86 zenon_H132 zenon_H10b zenon_H144 zenon_H12f zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H174 zenon_Hfd zenon_H28 zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hda zenon_H16b zenon_H169 zenon_H7a zenon_Hf5 zenon_H16e zenon_H173 zenon_H95 zenon_H44 zenon_Hec zenon_H7d zenon_H80 zenon_He4 zenon_He3 zenon_H64 zenon_H103 zenon_H4c zenon_H5e zenon_H1cb zenon_H53 zenon_H108 zenon_Hb1 zenon_H3c zenon_Hc8 zenon_Hc5 zenon_H1d zenon_H1f zenon_H56 zenon_Hf8 zenon_H1dd zenon_H51 zenon_H1f8 zenon_H1e6 zenon_H6f.
% 10.36/10.56 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.36/10.56 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.36/10.56 apply (zenon_L1050_); trivial.
% 10.36/10.56 apply (zenon_L675_); trivial.
% 10.36/10.56 apply (zenon_L187_); trivial.
% 10.36/10.56 (* end of lemma zenon_L1074_ *)
% 10.36/10.56 assert (zenon_L1075_ : (~((op (e1) (e0)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (e3))) -> (((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)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((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 (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (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 (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (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 (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e0) = (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) (e3)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e3))) -> (~((e0) = (e1))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((e0) = (e3))) -> (((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)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> False).
% 10.36/10.56 do 0 intro. intros zenon_H195 zenon_He7 zenon_Hc1 zenon_Hc0 zenon_H177 zenon_H168 zenon_H35 zenon_H159 zenon_H165 zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H14d zenon_H145 zenon_H86 zenon_H132 zenon_H10b zenon_H144 zenon_H12f zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H174 zenon_Hfd zenon_H28 zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hda zenon_H16b zenon_H169 zenon_H7a zenon_Hf5 zenon_H16e zenon_H173 zenon_H95 zenon_H44 zenon_Hec zenon_H7d zenon_H80 zenon_He4 zenon_He3 zenon_H64 zenon_H103 zenon_H4c zenon_H5e zenon_H1cb zenon_H53 zenon_H108 zenon_H3c zenon_Hc8 zenon_Hc5 zenon_H1d zenon_H1f zenon_H56 zenon_Hf8 zenon_H1dd zenon_H51 zenon_H1f8 zenon_H1e6 zenon_H6f zenon_Hc6.
% 10.36/10.56 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.36/10.56 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.36/10.56 apply (zenon_L1074_); trivial.
% 10.36/10.56 apply (zenon_L670_); trivial.
% 10.36/10.56 apply (zenon_L325_); trivial.
% 10.36/10.56 (* end of lemma zenon_L1075_ *)
% 10.36/10.56 assert (zenon_L1076_ : (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (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 (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> (((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 (e3) (e0)) = (op (e3) (e1)))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((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)) = (e0)) -> (~((e0) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((op (e1) (e1)) = (e1)) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> False).
% 10.36/10.56 do 0 intro. intros zenon_H191 zenon_H195 zenon_H1ef zenon_H177 zenon_H168 zenon_H103 zenon_H159 zenon_H108 zenon_H165 zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H14d zenon_H145 zenon_H86 zenon_H132 zenon_Hc5 zenon_Hc8 zenon_H3c zenon_H10b zenon_H144 zenon_H12f zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H174 zenon_Hfd zenon_H28 zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hda zenon_H16b zenon_H1f zenon_H169 zenon_H7a zenon_H64 zenon_H16e zenon_H173 zenon_H7d zenon_H80 zenon_He4 zenon_He3 zenon_Hde zenon_H5e zenon_H35 zenon_H4c zenon_Hf5 zenon_He7 zenon_Hbb zenon_H53 zenon_Hc1 zenon_H95 zenon_Hec zenon_Hc0 zenon_H68 zenon_H44 zenon_Hf8 zenon_H1d zenon_H1ea.
% 10.36/10.56 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.36/10.56 apply (zenon_L644_); trivial.
% 10.36/10.56 apply (zenon_L439_); trivial.
% 10.36/10.56 (* end of lemma zenon_L1076_ *)
% 10.36/10.56 assert (zenon_L1077_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (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))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (op (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 (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((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 (e1) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((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 (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 10.36/10.56 do 0 intro. intros zenon_H1b4 zenon_H1cb zenon_H195 zenon_H67 zenon_H1f8 zenon_Hc0 zenon_H1e6 zenon_H97 zenon_H5e zenon_Hdd zenon_H16b zenon_H53 zenon_H4c zenon_H95 zenon_H14d zenon_Hc6 zenon_H1dd zenon_H23d zenon_H168 zenon_H103 zenon_H159 zenon_H108 zenon_H165 zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H145 zenon_H86 zenon_H132 zenon_Hc5 zenon_Hc8 zenon_H10b zenon_H144 zenon_H12f zenon_Hf8 zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H174 zenon_Hfd zenon_H28 zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hda zenon_H7a zenon_Hf5 zenon_H16e zenon_H173 zenon_H177 zenon_H1ea zenon_H1f0 zenon_H6f zenon_H42 zenon_H3c zenon_H64 zenon_H191 zenon_Hc1 zenon_H1f zenon_Hde zenon_H35 zenon_H44 zenon_He7 zenon_H169 zenon_H1ef zenon_He3 zenon_He4 zenon_H7d zenon_Hec zenon_H216 zenon_H80.
% 10.36/10.56 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.36/10.56 apply (zenon_L111_); trivial.
% 10.36/10.56 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.36/10.56 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.36/10.56 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.36/10.56 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.36/10.56 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.36/10.56 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.36/10.56 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.36/10.56 apply (zenon_L1050_); trivial.
% 10.36/10.56 apply (zenon_L1071_); trivial.
% 10.36/10.56 apply (zenon_L187_); trivial.
% 10.36/10.56 apply (zenon_L1073_); trivial.
% 10.36/10.56 apply (zenon_L325_); trivial.
% 10.36/10.56 apply (zenon_L1075_); trivial.
% 10.36/10.56 apply (zenon_L1076_); trivial.
% 10.36/10.56 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.36/10.56 apply (zenon_L1071_); trivial.
% 10.36/10.56 exact (zenon_H80 zenon_H84).
% 10.36/10.56 (* end of lemma zenon_L1077_ *)
% 10.36/10.56 assert (zenon_L1078_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (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 (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 (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (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)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e0)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> False).
% 10.36/10.56 do 0 intro. intros zenon_Hd2 zenon_H127 zenon_Hf8 zenon_H56 zenon_H1f zenon_H1d zenon_Hc5 zenon_Hc7 zenon_H3c zenon_Hb1 zenon_H108 zenon_H53 zenon_H1cb zenon_H5e zenon_H4c zenon_H103 zenon_H91 zenon_H64 zenon_He3 zenon_He4 zenon_H80 zenon_H7d zenon_Hec zenon_H44 zenon_H95 zenon_H173 zenon_H16e zenon_Hf5 zenon_H7a zenon_H169 zenon_H16b zenon_Hda zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_H28 zenon_Hfd zenon_H174 zenon_H156 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_H12f zenon_H144 zenon_H10b zenon_H132 zenon_H86 zenon_H145 zenon_H14d zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H165 zenon_H159 zenon_H35 zenon_H168 zenon_H177.
% 10.36/10.56 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.36/10.56 apply (zenon_L1050_); trivial.
% 10.36/10.56 exact (zenon_H127 zenon_Hd0).
% 10.36/10.56 (* end of lemma zenon_L1078_ *)
% 10.36/10.56 assert (zenon_L1079_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (~((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))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (op (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 (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (e2))) -> (((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 (e1) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 10.36/10.56 do 0 intro. intros zenon_Hd2 zenon_H127 zenon_H5e zenon_Hdd zenon_H16b zenon_H53 zenon_H4c zenon_H95 zenon_H14d zenon_Hc6 zenon_H1dd zenon_H23d zenon_H168 zenon_H103 zenon_H159 zenon_H108 zenon_H165 zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H145 zenon_H86 zenon_H132 zenon_Hc5 zenon_H10b zenon_H144 zenon_H12f zenon_Hf8 zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H174 zenon_Hfd zenon_H28 zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hda zenon_H7a zenon_Hf5 zenon_H16e zenon_H173 zenon_H177 zenon_H1ea zenon_H56 zenon_H1f0 zenon_H6f zenon_H42 zenon_H3a zenon_H3c zenon_H27 zenon_H64 zenon_H191 zenon_Hc1 zenon_H1f zenon_Hde zenon_H35 zenon_H44 zenon_He7 zenon_H169 zenon_H1ef zenon_He3 zenon_He4 zenon_H80 zenon_H7d zenon_Hec.
% 10.36/10.56 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.36/10.56 apply (zenon_L1061_); trivial.
% 10.36/10.56 exact (zenon_H127 zenon_Hd0).
% 10.36/10.56 (* end of lemma zenon_L1079_ *)
% 10.36/10.56 assert (zenon_L1080_ : ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((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 (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((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 (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((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 (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (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 (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e0) = (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) (e3)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (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 (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> False).
% 10.36/10.56 do 0 intro. intros zenon_H3a zenon_Hc6 zenon_H177 zenon_H168 zenon_H103 zenon_H35 zenon_H159 zenon_H165 zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H53 zenon_H14d zenon_H145 zenon_H86 zenon_H132 zenon_Hc5 zenon_H3c zenon_H144 zenon_H12f zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H174 zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hda zenon_H16b zenon_H1f zenon_H169 zenon_H7a zenon_H16e zenon_H173 zenon_H95 zenon_H44 zenon_Hec zenon_H7d zenon_H80 zenon_He4 zenon_He3 zenon_H64 zenon_H28 zenon_He7 zenon_Hbb zenon_H192 zenon_Hc1 zenon_H191 zenon_He8 zenon_Hfd zenon_H1dd zenon_H108 zenon_H10b zenon_H4c zenon_H97 zenon_H51 zenon_H5e zenon_H1f0 zenon_H1e6 zenon_H100 zenon_Hf5 zenon_H56 zenon_Hf8 zenon_H127 zenon_Hd2.
% 10.36/10.56 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.36/10.56 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.36/10.56 apply (zenon_L662_); trivial.
% 10.36/10.56 exact (zenon_H127 zenon_Hd0).
% 10.36/10.56 apply (zenon_L321_); trivial.
% 10.36/10.56 (* end of lemma zenon_L1080_ *)
% 10.36/10.56 assert (zenon_L1081_ : ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> (((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 (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((e2) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (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 (e1) (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 (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (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)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e0)) = (op (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 (e0) (e2)) = (e0)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> False).
% 10.36/10.56 do 0 intro. intros zenon_H1ef zenon_H6f zenon_H1f8 zenon_Hd2 zenon_H127 zenon_Hf8 zenon_Hde zenon_H5e zenon_H35 zenon_H4c zenon_Hf5 zenon_He7 zenon_Hbb zenon_He8 zenon_H53 zenon_Hc1 zenon_H95 zenon_Hec zenon_Hc0 zenon_H44 zenon_H1f zenon_H191 zenon_He3 zenon_He4 zenon_H80 zenon_H7d zenon_H173 zenon_H16e zenon_H64 zenon_H7a zenon_H169 zenon_H16b zenon_Hda zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_H28 zenon_Hfd zenon_H174 zenon_H156 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_H12f zenon_H144 zenon_H10b zenon_H3c zenon_Hc5 zenon_H132 zenon_H86 zenon_H145 zenon_H14d zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H165 zenon_H108 zenon_H159 zenon_H103 zenon_H168 zenon_H177 zenon_H3a zenon_Hc6 zenon_H1dd zenon_H97 zenon_H51 zenon_H1f0 zenon_H1e6 zenon_H56 zenon_H1ea.
% 10.36/10.56 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.36/10.56 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.36/10.56 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.36/10.56 apply (zenon_L668_); trivial.
% 10.36/10.56 exact (zenon_H127 zenon_Hd0).
% 10.36/10.56 apply (zenon_L1080_); trivial.
% 10.36/10.56 apply (zenon_L675_); trivial.
% 10.36/10.56 (* end of lemma zenon_L1081_ *)
% 10.36/10.56 assert (zenon_L1082_ : ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (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) (e3)) = (e2))) -> False).
% 10.36/10.57 do 0 intro. intros zenon_H158 zenon_H152 zenon_H108 zenon_H44 zenon_H165 zenon_H135 zenon_H95 zenon_H4c zenon_H159 zenon_H15a zenon_H35 zenon_H103 zenon_H155 zenon_H3c zenon_H91 zenon_Hc5 zenon_H127 zenon_Hd2.
% 10.36/10.57 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.36/10.57 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.36/10.57 apply (zenon_L136_); trivial.
% 10.36/10.57 exact (zenon_H127 zenon_Hd0).
% 10.36/10.57 apply (zenon_L116_); trivial.
% 10.36/10.57 (* end of lemma zenon_L1082_ *)
% 10.36/10.57 assert (zenon_L1083_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (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) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (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) (e3)) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> False).
% 10.36/10.57 do 0 intro. intros zenon_Hf8 zenon_Hec zenon_H44 zenon_He4 zenon_H95 zenon_Hbd zenon_H158 zenon_H152 zenon_H108 zenon_H165 zenon_H4c zenon_H159 zenon_H15a zenon_H35 zenon_H103 zenon_H155 zenon_H3c zenon_H91 zenon_Hc5 zenon_H127 zenon_Hd2 zenon_H177.
% 10.36/10.57 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.36/10.57 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H178 ].
% 10.36/10.57 apply (zenon_L99_); trivial.
% 10.36/10.57 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H179 ].
% 10.36/10.57 apply (zenon_L50_); trivial.
% 10.36/10.57 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H135 | zenon_intro zenon_H85 ].
% 10.36/10.57 apply (zenon_L1082_); trivial.
% 10.36/10.57 exact (zenon_H7f zenon_H85).
% 10.36/10.57 apply (zenon_L60_); trivial.
% 10.36/10.57 (* end of lemma zenon_L1083_ *)
% 10.36/10.57 assert (zenon_L1084_ : ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (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) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((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) (e3)) = (e2))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> False).
% 10.36/10.57 do 0 intro. intros zenon_H157 zenon_H216 zenon_Hf8 zenon_H6f zenon_H51 zenon_H159 zenon_H15a zenon_H155 zenon_H3a zenon_H1e6 zenon_H1f8 zenon_He3 zenon_He4 zenon_H80 zenon_H7d zenon_Hec zenon_H44 zenon_H95 zenon_H158 zenon_H152 zenon_H108 zenon_H165 zenon_H4c zenon_H35 zenon_H103 zenon_H3c zenon_Hc5 zenon_H127 zenon_Hd2 zenon_H177 zenon_H151.
% 10.36/10.57 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.36/10.57 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.36/10.57 apply (zenon_L1062_); trivial.
% 10.36/10.57 apply (zenon_L1083_); trivial.
% 10.36/10.57 apply (zenon_L500_); trivial.
% 10.36/10.57 (* end of lemma zenon_L1084_ *)
% 10.36/10.57 assert (zenon_L1085_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (~((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))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (op (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 (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (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 (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (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) (e2)))) -> (~((op (e1) (e2)) = (op (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 (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> False).
% 10.36/10.57 do 0 intro. intros zenon_Hd2 zenon_H127 zenon_H5e zenon_Hdd zenon_H16b zenon_H53 zenon_H4c zenon_H95 zenon_H14d zenon_Hc6 zenon_H1dd zenon_H23d zenon_H168 zenon_H103 zenon_H159 zenon_H108 zenon_H165 zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H145 zenon_H86 zenon_H132 zenon_Hc5 zenon_H10b zenon_H144 zenon_H12f zenon_Hf8 zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H174 zenon_Hfd zenon_H28 zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hda zenon_H7a zenon_Hf5 zenon_H16e zenon_H173 zenon_H177 zenon_H1ea zenon_H1f0 zenon_H6f zenon_H42 zenon_H3a zenon_H3c zenon_H64 zenon_H191 zenon_Hc1 zenon_H1f zenon_Hde zenon_H35 zenon_H44 zenon_He7 zenon_H169 zenon_H1ef zenon_He3 zenon_He4 zenon_H80 zenon_H7d zenon_Hec zenon_H216 zenon_H1e6 zenon_H97 zenon_Hc0 zenon_H1f8 zenon_H67.
% 10.36/10.57 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.36/10.57 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.36/10.57 apply (zenon_L1079_); trivial.
% 10.36/10.57 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.36/10.57 apply (zenon_L1081_); trivial.
% 10.36/10.57 apply (zenon_L1084_); trivial.
% 10.36/10.57 apply (zenon_L1070_); trivial.
% 10.36/10.57 (* end of lemma zenon_L1085_ *)
% 10.36/10.57 assert (zenon_L1086_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (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)) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((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 (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (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))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e0) = (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)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (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)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((e1) = (e3))) -> (((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 (e1) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> False).
% 10.36/10.57 do 0 intro. intros zenon_Hd2 zenon_H127 zenon_Hf8 zenon_He7 zenon_Hbb zenon_Hb8 zenon_H44 zenon_He8 zenon_H53 zenon_Hc1 zenon_H95 zenon_Hec zenon_Hc0 zenon_He3 zenon_He4 zenon_H80 zenon_H7d zenon_H173 zenon_H16e zenon_H64 zenon_Hf5 zenon_H7a zenon_H169 zenon_H5e zenon_H1f zenon_H16b zenon_Hda zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_H28 zenon_Hfd zenon_H174 zenon_H156 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_H12f zenon_H144 zenon_H10b zenon_H3c zenon_Hc5 zenon_H132 zenon_H86 zenon_H145 zenon_H14d zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H4c zenon_H165 zenon_H108 zenon_H159 zenon_H35 zenon_H103 zenon_H168 zenon_H177.
% 10.36/10.57 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.36/10.57 apply (zenon_L187_); trivial.
% 10.36/10.57 exact (zenon_H127 zenon_Hd0).
% 10.36/10.57 (* end of lemma zenon_L1086_ *)
% 10.36/10.57 assert (zenon_L1087_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (~((e0) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (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 (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (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))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (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))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> False).
% 10.36/10.57 do 0 intro. intros zenon_Hd2 zenon_H127 zenon_Hf8 zenon_H56 zenon_Hdd zenon_H44 zenon_H28 zenon_H4c zenon_H95 zenon_H1dd zenon_Hda zenon_H35 zenon_H27 zenon_Hcf zenon_H5e zenon_H1b4 zenon_He3 zenon_He4 zenon_H80 zenon_H7d zenon_Hec zenon_H173 zenon_H16e zenon_H64 zenon_Hf5 zenon_H7a zenon_H169 zenon_H1f zenon_H16b zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_Hfd zenon_H174 zenon_H156 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_H12f zenon_H144 zenon_H10b zenon_H3c zenon_Hc5 zenon_H132 zenon_H86 zenon_H145 zenon_H14d zenon_H53 zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H165 zenon_H108 zenon_H159 zenon_H103 zenon_H168 zenon_H177.
% 10.36/10.57 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.36/10.57 apply (zenon_L1073_); trivial.
% 10.36/10.57 exact (zenon_H127 zenon_Hd0).
% 10.36/10.57 (* end of lemma zenon_L1087_ *)
% 10.36/10.57 assert (zenon_L1088_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> False).
% 10.36/10.57 do 0 intro. intros zenon_Hd2 zenon_H127 zenon_H3c zenon_H51 zenon_H91 zenon_Hc7 zenon_Hc5.
% 10.36/10.57 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.36/10.57 apply (zenon_L129_); trivial.
% 10.36/10.57 exact (zenon_H127 zenon_Hd0).
% 10.36/10.57 (* end of lemma zenon_L1088_ *)
% 10.36/10.57 assert (zenon_L1089_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (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) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (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))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (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 (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((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)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((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)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (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) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 10.36/10.57 do 0 intro. intros zenon_H1b4 zenon_H1cb zenon_H195 zenon_H67 zenon_H1f8 zenon_Hc0 zenon_H97 zenon_H1e6 zenon_H216 zenon_Hec zenon_H7d zenon_He4 zenon_He3 zenon_H1ef zenon_H169 zenon_He7 zenon_H44 zenon_H35 zenon_Hde zenon_H1f zenon_Hc1 zenon_H191 zenon_H64 zenon_H3c zenon_H42 zenon_H6f zenon_H1f0 zenon_H1ea zenon_H177 zenon_H173 zenon_H16e zenon_Hf5 zenon_H7a zenon_Hda zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_H28 zenon_Hfd zenon_H174 zenon_H156 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_Hf8 zenon_H12f zenon_H144 zenon_H10b zenon_Hc5 zenon_H132 zenon_H86 zenon_H145 zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H165 zenon_H108 zenon_H159 zenon_H103 zenon_H168 zenon_H23d zenon_H1dd zenon_Hc6 zenon_H14d zenon_H95 zenon_H4c zenon_H53 zenon_H16b zenon_Hdd zenon_H5e zenon_H127 zenon_Hd2 zenon_H80.
% 10.36/10.57 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.36/10.57 apply (zenon_L111_); trivial.
% 10.36/10.57 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.36/10.57 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.36/10.57 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.36/10.57 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.36/10.57 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.36/10.57 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.36/10.57 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.36/10.57 apply (zenon_L1078_); trivial.
% 10.36/10.57 apply (zenon_L1085_); trivial.
% 10.36/10.57 apply (zenon_L1086_); trivial.
% 10.36/10.57 apply (zenon_L1087_); trivial.
% 10.36/10.57 apply (zenon_L325_); trivial.
% 10.36/10.57 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.36/10.57 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.36/10.57 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.36/10.57 apply (zenon_L1088_); trivial.
% 10.36/10.57 apply (zenon_L1081_); trivial.
% 10.36/10.57 apply (zenon_L1086_); trivial.
% 10.36/10.57 apply (zenon_L325_); trivial.
% 10.36/10.57 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.36/10.57 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.36/10.57 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.36/10.57 apply (zenon_L593_); trivial.
% 10.36/10.57 exact (zenon_H127 zenon_Hd0).
% 10.36/10.57 apply (zenon_L149_); trivial.
% 10.36/10.57 apply (zenon_L439_); trivial.
% 10.36/10.57 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.36/10.57 apply (zenon_L1085_); trivial.
% 10.36/10.57 exact (zenon_H80 zenon_H84).
% 10.36/10.57 (* end of lemma zenon_L1089_ *)
% 10.36/10.57 assert (zenon_L1090_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e3)) = (e1))) -> (((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 (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))))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (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)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e2) (e0)) = (e1)) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.36/10.57 do 0 intro. intros zenon_Hda zenon_H203 zenon_H64 zenon_H56 zenon_H7e zenon_H1e6 zenon_H1f0 zenon_Hf5 zenon_H51 zenon_H97 zenon_H28 zenon_H191 zenon_He8 zenon_H192 zenon_Hc1 zenon_H108 zenon_Hfd zenon_H5e zenon_Hb1 zenon_He7 zenon_H10b zenon_Hed zenon_H238 zenon_H4c zenon_H76 zenon_H151 zenon_Hbb zenon_H7d zenon_H80 zenon_He4 zenon_He3 zenon_H1dd zenon_Hf8.
% 10.36/10.57 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdb ].
% 10.36/10.57 exact (zenon_H28 zenon_H31).
% 10.36/10.57 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H6c | zenon_intro zenon_Hdc ].
% 10.36/10.57 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H15a | zenon_intro zenon_H23a ].
% 10.36/10.57 apply (zenon_L236_); trivial.
% 10.36/10.57 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1d | zenon_intro zenon_H23b ].
% 10.36/10.57 exact (zenon_H192 zenon_H1d).
% 10.36/10.57 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H100 | zenon_intro zenon_H9a ].
% 10.36/10.57 apply (zenon_L511_); trivial.
% 10.36/10.57 exact (zenon_H203 zenon_H9a).
% 10.36/10.57 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H74 | zenon_intro zenon_Hbc ].
% 10.36/10.57 apply (zenon_L21_); trivial.
% 10.36/10.57 apply (zenon_L674_); trivial.
% 10.36/10.57 (* end of lemma zenon_L1090_ *)
% 10.36/10.57 assert (zenon_L1091_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (((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 (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((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 (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (e1) (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)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e0) = (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) (e3)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (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)))) -> (~((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) (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 (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((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 (e1) (e1)) = (e1))) -> (~((e1) = (e3))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (e1))) -> False).
% 10.36/10.57 do 0 intro. intros zenon_H177 zenon_H168 zenon_H103 zenon_H35 zenon_H165 zenon_H158 zenon_H152 zenon_H14a zenon_H53 zenon_H14d zenon_H145 zenon_H86 zenon_H132 zenon_Hc5 zenon_Hc8 zenon_H3c zenon_H144 zenon_H12f zenon_H150 zenon_H157 zenon_H112 zenon_H156 zenon_H174 zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_H16b zenon_H1f zenon_H169 zenon_H7a zenon_H16e zenon_H173 zenon_H95 zenon_H44 zenon_Hec zenon_H7d zenon_H80 zenon_He4 zenon_He3 zenon_H1b4 zenon_H28 zenon_H238 zenon_H203 zenon_Hf5 zenon_H1f0 zenon_H5e zenon_H97 zenon_H10b zenon_H108 zenon_H1dd zenon_Hb1 zenon_Hfd zenon_He8 zenon_H191 zenon_Hc1 zenon_Hbb zenon_He7 zenon_H64 zenon_H192 zenon_H4c zenon_H151 zenon_Hf8 zenon_Hda zenon_H6f zenon_H51 zenon_H159 zenon_H155 zenon_H3a zenon_H1e6 zenon_H1f8 zenon_H56.
% 10.36/10.57 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.36/10.57 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.36/10.57 apply (zenon_L56_); trivial.
% 10.36/10.57 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 10.36/10.57 exact (zenon_H56 zenon_H2c).
% 10.36/10.57 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 10.36/10.57 apply (zenon_L490_); trivial.
% 10.36/10.57 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 10.36/10.57 apply (zenon_L1090_); trivial.
% 10.36/10.57 apply (zenon_L62_); trivial.
% 10.36/10.57 apply (zenon_L160_); trivial.
% 10.36/10.57 (* end of lemma zenon_L1091_ *)
% 10.36/10.57 assert (zenon_L1092_ : ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((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 (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (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) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (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 (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((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)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((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)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (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) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> False).
% 10.36/10.57 do 0 intro. intros zenon_H67 zenon_H1f8 zenon_H1e6 zenon_H97 zenon_H238 zenon_H1b4 zenon_Hec zenon_H7d zenon_H80 zenon_He4 zenon_He3 zenon_H1ef zenon_H169 zenon_He7 zenon_H44 zenon_H35 zenon_Hde zenon_H1f zenon_H191 zenon_H64 zenon_H3c zenon_H3a zenon_H42 zenon_H6f zenon_H1f0 zenon_H56 zenon_H1ea zenon_H177 zenon_H173 zenon_H16e zenon_Hf5 zenon_H7a zenon_Hda zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_H28 zenon_Hfd zenon_H174 zenon_H156 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_Hf8 zenon_H12f zenon_H144 zenon_H10b zenon_Hc8 zenon_Hc5 zenon_H132 zenon_H86 zenon_H145 zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H165 zenon_H108 zenon_H159 zenon_H103 zenon_H168 zenon_H23d zenon_H1dd zenon_Hc6 zenon_H14d zenon_H95 zenon_H4c zenon_H53 zenon_H16b zenon_Hdd zenon_H5e zenon_H203 zenon_H1af.
% 10.36/10.57 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.36/10.57 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.36/10.57 apply (zenon_L1061_); trivial.
% 10.36/10.57 exact (zenon_H203 zenon_H9a).
% 10.36/10.57 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.36/10.57 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.36/10.57 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.36/10.57 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.36/10.57 apply (zenon_L1091_); trivial.
% 10.36/10.57 apply (zenon_L321_); trivial.
% 10.36/10.57 exact (zenon_H203 zenon_H9a).
% 10.36/10.57 apply (zenon_L675_); trivial.
% 10.36/10.57 apply (zenon_L1063_); trivial.
% 10.36/10.57 (* end of lemma zenon_L1092_ *)
% 10.36/10.57 assert (zenon_L1093_ : ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> (~((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))))) -> False).
% 10.36/10.57 do 0 intro. intros zenon_H1af zenon_H203 zenon_H1f zenon_H68 zenon_H192 zenon_Haf zenon_H191.
% 10.36/10.57 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.36/10.57 apply (zenon_L323_); trivial.
% 10.36/10.57 exact (zenon_H203 zenon_H9a).
% 10.36/10.57 (* end of lemma zenon_L1093_ *)
% 10.36/10.57 assert (zenon_L1094_ : ((op (e3) (e0)) = (e0)) -> ((op (e2) (e0)) = (e0)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> False).
% 10.36/10.57 do 0 intro. intros zenon_He4 zenon_H73 zenon_H1c0.
% 10.36/10.57 elim (classic ((op (e3) (e0)) = (op (e3) (e0)))); [ zenon_intro zenon_H170 | zenon_intro zenon_Hbf ].
% 10.36/10.57 cut (((op (e3) (e0)) = (op (e3) (e0))) = ((op (e2) (e0)) = (op (e3) (e0)))).
% 10.36/10.57 intro zenon_D_pnotp.
% 10.36/10.57 apply zenon_H1c0.
% 10.36/10.57 rewrite <- zenon_D_pnotp.
% 10.36/10.57 exact zenon_H170.
% 10.36/10.57 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hbf].
% 10.36/10.57 cut (((op (e3) (e0)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1c1].
% 10.36/10.57 congruence.
% 10.36/10.57 cut (((op (e3) (e0)) = (e0)) = ((op (e3) (e0)) = (op (e2) (e0)))).
% 10.36/10.57 intro zenon_D_pnotp.
% 10.36/10.57 apply zenon_H1c1.
% 10.36/10.57 rewrite <- zenon_D_pnotp.
% 10.36/10.57 exact zenon_He4.
% 10.36/10.57 cut (((e0) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1bb].
% 10.36/10.57 cut (((op (e3) (e0)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hbf].
% 10.36/10.57 congruence.
% 10.36/10.57 apply zenon_Hbf. apply refl_equal.
% 10.36/10.57 apply zenon_H1bb. apply sym_equal. exact zenon_H73.
% 10.36/10.57 apply zenon_Hbf. apply refl_equal.
% 10.36/10.57 apply zenon_Hbf. apply refl_equal.
% 10.36/10.57 (* end of lemma zenon_L1094_ *)
% 10.36/10.57 assert (zenon_L1095_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e3)) = (e1))) -> (~((e0) = (e1))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e3) (e3)) = (e1))) -> False).
% 10.36/10.57 do 0 intro. intros zenon_Hab zenon_H35 zenon_H47 zenon_H203 zenon_H5e zenon_H89 zenon_H7e.
% 10.36/10.57 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H62 | zenon_intro zenon_Hac ].
% 10.36/10.57 apply (zenon_L260_); trivial.
% 10.36/10.57 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H9a | zenon_intro zenon_Had ].
% 10.36/10.57 exact (zenon_H203 zenon_H9a).
% 10.36/10.57 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H8a | zenon_intro zenon_H83 ].
% 10.36/10.57 apply (zenon_L27_); trivial.
% 10.36/10.57 exact (zenon_H7e zenon_H83).
% 10.36/10.57 (* end of lemma zenon_L1095_ *)
% 10.36/10.57 assert (zenon_L1096_ : (((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 (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> ((op (e0) (e3)) = (e2)) -> (~((op (e1) (e3)) = (e1))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 10.36/10.57 do 0 intro. intros zenon_Hb0 zenon_H1c0 zenon_He4 zenon_H68 zenon_Hd3 zenon_Hb1 zenon_Hab zenon_H35 zenon_H47 zenon_H203 zenon_H5e zenon_H7e.
% 10.36/10.57 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hb5 ].
% 10.36/10.57 apply (zenon_L1094_); trivial.
% 10.36/10.57 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H78 | zenon_intro zenon_Hb6 ].
% 10.36/10.57 apply (zenon_L46_); trivial.
% 10.36/10.57 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H89 ].
% 10.36/10.57 exact (zenon_Hb1 zenon_Hb7).
% 10.36/10.57 apply (zenon_L1095_); trivial.
% 10.36/10.57 (* end of lemma zenon_L1096_ *)
% 10.36/10.57 assert (zenon_L1097_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((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 (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e3)) = (e1))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 10.36/10.57 do 0 intro. intros zenon_H42 zenon_H27 zenon_H44 zenon_H3c zenon_H3a zenon_Hb0 zenon_H1c0 zenon_He4 zenon_H68 zenon_Hd3 zenon_Hb1 zenon_Hab zenon_H35 zenon_H203 zenon_H5e zenon_H7e.
% 10.36/10.57 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 10.36/10.57 exact (zenon_H27 zenon_H32).
% 10.36/10.57 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 10.36/10.57 apply (zenon_L16_); trivial.
% 10.36/10.57 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 10.36/10.57 apply (zenon_L5_); trivial.
% 10.36/10.57 apply (zenon_L1096_); trivial.
% 10.36/10.57 (* end of lemma zenon_L1097_ *)
% 10.36/10.57 assert (zenon_L1098_ : ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((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)) = (op (e3) (e0)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> False).
% 10.36/10.57 do 0 intro. intros zenon_H156 zenon_Hc6 zenon_H42 zenon_H1c0 zenon_He4 zenon_Hd3 zenon_Hab zenon_H5e zenon_H203 zenon_H35 zenon_Hb0 zenon_H3a zenon_H3c zenon_H68 zenon_H44 zenon_H27 zenon_H118 zenon_H114 zenon_H216 zenon_H1d zenon_H110 zenon_H151.
% 10.36/10.57 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.36/10.57 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.36/10.57 apply (zenon_L1097_); trivial.
% 10.36/10.57 apply (zenon_L1067_); trivial.
% 10.36/10.57 apply (zenon_L321_); trivial.
% 10.36/10.57 (* end of lemma zenon_L1098_ *)
% 10.36/10.57 assert (zenon_L1099_ : ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (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) (e3)) = (e1))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> False).
% 10.45/10.57 do 0 intro. intros zenon_H67 zenon_H1ea zenon_H108 zenon_He4 zenon_H1dd zenon_H5e zenon_Hfd zenon_Hc6 zenon_H3a zenon_H156 zenon_H191 zenon_H68 zenon_H1f zenon_H203 zenon_H1af zenon_H42 zenon_H1c0 zenon_Hd3 zenon_Hab zenon_H35 zenon_Hb0 zenon_H3c zenon_H44 zenon_H118 zenon_H114 zenon_H216 zenon_H110 zenon_H151 zenon_H1ef.
% 10.45/10.57 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.45/10.57 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.45/10.57 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.45/10.57 apply (zenon_L1093_); trivial.
% 10.45/10.57 apply (zenon_L1064_); trivial.
% 10.45/10.57 apply (zenon_L1098_); trivial.
% 10.45/10.57 apply (zenon_L69_); trivial.
% 10.45/10.57 (* end of lemma zenon_L1099_ *)
% 10.45/10.57 assert (zenon_L1100_ : (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> (~((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))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (op (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 (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (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 (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (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 (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> False).
% 10.45/10.57 do 0 intro. intros zenon_H216 zenon_Hb0 zenon_Hab zenon_H1c0 zenon_H1af zenon_H203 zenon_H5e zenon_Hdd zenon_H16b zenon_H53 zenon_H4c zenon_H95 zenon_H14d zenon_Hc6 zenon_H1dd zenon_H23d zenon_H168 zenon_H103 zenon_H159 zenon_H108 zenon_H165 zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H145 zenon_H86 zenon_H132 zenon_Hc5 zenon_Hc8 zenon_H10b zenon_H144 zenon_H12f zenon_Hf8 zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H174 zenon_Hfd zenon_H28 zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hda zenon_H7a zenon_Hf5 zenon_H16e zenon_H173 zenon_H177 zenon_H1ea zenon_H1f0 zenon_H6f zenon_H42 zenon_H3a zenon_H3c zenon_H64 zenon_H191 zenon_H1f zenon_Hde zenon_H35 zenon_H44 zenon_He7 zenon_H169 zenon_H1ef zenon_He3 zenon_He4 zenon_H80 zenon_H7d zenon_Hec zenon_H1b4 zenon_H238 zenon_H97 zenon_H1e6 zenon_H1f8 zenon_H67.
% 10.45/10.57 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.45/10.57 apply (zenon_L1092_); trivial.
% 10.45/10.57 apply (zenon_L1099_); trivial.
% 10.45/10.57 (* end of lemma zenon_L1100_ *)
% 10.45/10.57 assert (zenon_L1101_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e1) (e3)) = (e1))) -> (~((e0) = (e1))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e3) (e3)) = (e1))) -> False).
% 10.45/10.57 do 0 intro. intros zenon_Hab zenon_H4c zenon_H57 zenon_H203 zenon_H5e zenon_H89 zenon_H7e.
% 10.45/10.57 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H62 | zenon_intro zenon_Hac ].
% 10.45/10.57 apply (zenon_L13_); trivial.
% 10.45/10.57 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H9a | zenon_intro zenon_Had ].
% 10.45/10.57 exact (zenon_H203 zenon_H9a).
% 10.45/10.57 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H8a | zenon_intro zenon_H83 ].
% 10.45/10.57 apply (zenon_L27_); trivial.
% 10.45/10.57 exact (zenon_H7e zenon_H83).
% 10.45/10.57 (* end of lemma zenon_L1101_ *)
% 10.45/10.57 assert (zenon_L1102_ : (((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 (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> ((op (e0) (e3)) = (e3)) -> (~((op (e1) (e3)) = (e1))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 10.45/10.57 do 0 intro. intros zenon_Hb0 zenon_H1c0 zenon_He4 zenon_H68 zenon_Hd3 zenon_Hb1 zenon_Hab zenon_H4c zenon_H57 zenon_H203 zenon_H5e zenon_H7e.
% 10.45/10.57 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H73 | zenon_intro zenon_Hb5 ].
% 10.45/10.57 apply (zenon_L1094_); trivial.
% 10.45/10.57 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H78 | zenon_intro zenon_Hb6 ].
% 10.45/10.57 apply (zenon_L46_); trivial.
% 10.45/10.57 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H89 ].
% 10.45/10.57 exact (zenon_Hb1 zenon_Hb7).
% 10.45/10.57 apply (zenon_L1101_); trivial.
% 10.45/10.57 (* end of lemma zenon_L1102_ *)
% 10.45/10.57 assert (zenon_L1103_ : (((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 (e3) (e2)))) -> ((op (e3) (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 (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e3)) = (e1))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 10.45/10.57 do 0 intro. intros zenon_H97 zenon_H28 zenon_H53 zenon_H10b zenon_Hed zenon_Hb0 zenon_H1c0 zenon_He4 zenon_H68 zenon_Hd3 zenon_Hb1 zenon_Hab zenon_H4c zenon_H203 zenon_H5e zenon_H7e.
% 10.45/10.57 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H31 | zenon_intro zenon_H98 ].
% 10.45/10.57 exact (zenon_H28 zenon_H31).
% 10.45/10.57 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ].
% 10.45/10.57 apply (zenon_L30_); trivial.
% 10.45/10.57 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H52 | zenon_intro zenon_H57 ].
% 10.45/10.57 apply (zenon_L75_); trivial.
% 10.45/10.57 apply (zenon_L1102_); trivial.
% 10.45/10.57 (* end of lemma zenon_L1103_ *)
% 10.45/10.57 assert (zenon_L1104_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (~((op (e1) (e3)) = (e1))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (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)) = (e0)) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> False).
% 10.45/10.57 do 0 intro. intros zenon_Hf8 zenon_H28 zenon_H53 zenon_H68 zenon_H10b zenon_Hb0 zenon_H4c zenon_H203 zenon_H5e zenon_Hab zenon_Hb1 zenon_Hd3 zenon_H1c0 zenon_H97 zenon_He3 zenon_He4 zenon_H7e zenon_H80 zenon_H7d.
% 10.45/10.57 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.45/10.57 apply (zenon_L56_); trivial.
% 10.45/10.57 apply (zenon_L1103_); trivial.
% 10.45/10.57 (* end of lemma zenon_L1104_ *)
% 10.45/10.57 assert (zenon_L1105_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (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 (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 (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (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 (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e0) = (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) (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 (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.45/10.58 do 0 intro. intros zenon_H177 zenon_H168 zenon_H103 zenon_H35 zenon_H159 zenon_H108 zenon_H165 zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H14d zenon_H145 zenon_H86 zenon_H132 zenon_Hc5 zenon_Hc8 zenon_H3c zenon_H144 zenon_H12f zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H174 zenon_Hfd zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hda zenon_H16b zenon_H1f zenon_H169 zenon_H7a zenon_Hf5 zenon_H64 zenon_H16e zenon_H173 zenon_H95 zenon_H44 zenon_Hec zenon_H7d zenon_H80 zenon_He4 zenon_He3 zenon_H97 zenon_H1c0 zenon_Hd3 zenon_Hb1 zenon_Hab zenon_H5e zenon_H203 zenon_H4c zenon_Hb0 zenon_H10b zenon_H68 zenon_H53 zenon_H28 zenon_Hf8.
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.45/10.58 apply (zenon_L1104_); trivial.
% 10.45/10.58 apply (zenon_L160_); trivial.
% 10.45/10.58 (* end of lemma zenon_L1105_ *)
% 10.45/10.58 assert (zenon_L1106_ : (((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) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> ((op (e3) (e0)) = (e0)) -> (~((e1) = (e2))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 10.45/10.58 do 0 intro. intros zenon_Hde zenon_H44 zenon_H68 zenon_Haf zenon_Hcf zenon_H112 zenon_Hf5 zenon_H5e zenon_He4 zenon_H35 zenon_Hed zenon_H4c zenon_H7e.
% 10.45/10.58 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H34 | zenon_intro zenon_He1 ].
% 10.45/10.58 apply (zenon_L16_); trivial.
% 10.45/10.58 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_Hb4 | zenon_intro zenon_He2 ].
% 10.45/10.58 exact (zenon_Haf zenon_Hb4).
% 10.45/10.58 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ].
% 10.45/10.58 apply (zenon_L79_); trivial.
% 10.45/10.58 apply (zenon_L65_); trivial.
% 10.45/10.58 (* end of lemma zenon_L1106_ *)
% 10.45/10.58 assert (zenon_L1107_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e2)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> False).
% 10.45/10.58 do 0 intro. intros zenon_Hf8 zenon_H44 zenon_H68 zenon_Haf zenon_H112 zenon_Hcf zenon_Hf5 zenon_H4c zenon_H35 zenon_H5e zenon_Hde zenon_He3 zenon_He4 zenon_H7e zenon_H80 zenon_H7d.
% 10.45/10.58 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.45/10.58 apply (zenon_L56_); trivial.
% 10.45/10.58 apply (zenon_L1106_); trivial.
% 10.45/10.58 (* end of lemma zenon_L1107_ *)
% 10.45/10.58 assert (zenon_L1108_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.45/10.58 do 0 intro. intros zenon_H151 zenon_Hd3 zenon_H110 zenon_H1d zenon_H114 zenon_H118 zenon_H7d zenon_H80 zenon_He4 zenon_He3 zenon_Hde zenon_H5e zenon_H35 zenon_H4c zenon_Hf5 zenon_Hcf zenon_H112 zenon_Haf zenon_H68 zenon_H44 zenon_Hf8.
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.45/10.58 apply (zenon_L1107_); trivial.
% 10.45/10.58 apply (zenon_L81_); trivial.
% 10.45/10.58 (* end of lemma zenon_L1108_ *)
% 10.45/10.58 assert (zenon_L1109_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((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 (e3) (e1)) = (op (e3) (e2)))) -> (((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 (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (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))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (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 (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((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)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((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)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (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) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((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 (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 10.45/10.58 do 0 intro. intros zenon_Hc0 zenon_H1cb zenon_H195 zenon_H67 zenon_H1f8 zenon_H1e6 zenon_H97 zenon_H238 zenon_H1b4 zenon_Hec zenon_H7d zenon_He4 zenon_He3 zenon_H1ef zenon_H169 zenon_He7 zenon_H44 zenon_H35 zenon_Hde zenon_H1f zenon_H191 zenon_H64 zenon_H3c zenon_H42 zenon_H6f zenon_H1f0 zenon_H1ea zenon_H177 zenon_H173 zenon_H16e zenon_Hf5 zenon_H7a zenon_Hda zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_H28 zenon_Hfd zenon_H174 zenon_H156 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_Hf8 zenon_H12f zenon_H144 zenon_H10b zenon_Hc8 zenon_Hc5 zenon_H132 zenon_H86 zenon_H145 zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H165 zenon_H108 zenon_H159 zenon_H103 zenon_H168 zenon_H23d zenon_H1dd zenon_Hc6 zenon_H14d zenon_H95 zenon_H4c zenon_H53 zenon_H16b zenon_Hdd zenon_H5e zenon_H203 zenon_H1af zenon_H1c0 zenon_Hab zenon_Hb0 zenon_H216 zenon_H80.
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.45/10.58 apply (zenon_L111_); trivial.
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.45/10.58 apply (zenon_L1050_); trivial.
% 10.45/10.58 apply (zenon_L1092_); trivial.
% 10.45/10.58 apply (zenon_L187_); trivial.
% 10.45/10.58 apply (zenon_L1073_); trivial.
% 10.45/10.58 exact (zenon_H203 zenon_H9a).
% 10.45/10.58 apply (zenon_L325_); trivial.
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.45/10.58 apply (zenon_L129_); trivial.
% 10.45/10.58 apply (zenon_L1100_); trivial.
% 10.45/10.58 apply (zenon_L187_); trivial.
% 10.45/10.58 exact (zenon_H203 zenon_H9a).
% 10.45/10.58 apply (zenon_L325_); trivial.
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.45/10.58 apply (zenon_L1105_); trivial.
% 10.45/10.58 apply (zenon_L1108_); trivial.
% 10.45/10.58 apply (zenon_L149_); trivial.
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.45/10.58 apply (zenon_L1100_); trivial.
% 10.45/10.58 exact (zenon_H80 zenon_H84).
% 10.45/10.58 (* end of lemma zenon_L1109_ *)
% 10.45/10.58 assert (zenon_L1110_ : ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (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) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (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 (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((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)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((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)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (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) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> False).
% 10.45/10.58 do 0 intro. intros zenon_H1af zenon_H203 zenon_Hec zenon_H7d zenon_H80 zenon_He4 zenon_He3 zenon_H1ef zenon_H169 zenon_He7 zenon_H44 zenon_H35 zenon_Hde zenon_H1f zenon_H191 zenon_H64 zenon_H27 zenon_H3c zenon_H3a zenon_H42 zenon_H6f zenon_H1f0 zenon_H56 zenon_H1ea zenon_H177 zenon_H173 zenon_H16e zenon_Hf5 zenon_H7a zenon_Hda zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_H28 zenon_Hfd zenon_H174 zenon_H156 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_Hf8 zenon_H12f zenon_H144 zenon_H10b zenon_Hc5 zenon_H132 zenon_H86 zenon_H145 zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H165 zenon_H108 zenon_H159 zenon_H103 zenon_H168 zenon_H23d zenon_H1dd zenon_Hc6 zenon_H14d zenon_H95 zenon_H4c zenon_H53 zenon_H16b zenon_Hdd zenon_H5e zenon_H127 zenon_Hd2.
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.45/10.58 apply (zenon_L1079_); trivial.
% 10.45/10.58 exact (zenon_H203 zenon_H9a).
% 10.45/10.58 (* end of lemma zenon_L1110_ *)
% 10.45/10.58 assert (zenon_L1111_ : ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (((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 (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((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 (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((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 (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (e1) (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)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e0) = (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) (e3)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (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)))) -> (~((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) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((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))))) -> (~((e1) = (e3))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> False).
% 10.45/10.58 do 0 intro. intros zenon_H1ef zenon_Hc6 zenon_H177 zenon_H168 zenon_H103 zenon_H35 zenon_H165 zenon_H158 zenon_H152 zenon_H14a zenon_H53 zenon_H14d zenon_H145 zenon_H86 zenon_H132 zenon_Hc5 zenon_H3c zenon_H144 zenon_H12f zenon_H150 zenon_H157 zenon_H112 zenon_H156 zenon_H174 zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_H16b zenon_H1f zenon_H169 zenon_H7a zenon_H16e zenon_H173 zenon_H95 zenon_H44 zenon_Hec zenon_H7d zenon_H80 zenon_He4 zenon_He3 zenon_H1b4 zenon_H28 zenon_H238 zenon_H203 zenon_Hf5 zenon_H1f0 zenon_H5e zenon_H97 zenon_H10b zenon_H108 zenon_H1dd zenon_Hfd zenon_He8 zenon_H191 zenon_Hbb zenon_He7 zenon_H64 zenon_H4c zenon_H151 zenon_Hf8 zenon_Hda zenon_H6f zenon_H51 zenon_H159 zenon_H155 zenon_H3a zenon_H1e6 zenon_H1f8 zenon_H56 zenon_H127 zenon_Hd2 zenon_H1af.
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.45/10.58 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.45/10.58 apply (zenon_L1091_); trivial.
% 10.45/10.58 exact (zenon_H127 zenon_Hd0).
% 10.45/10.58 apply (zenon_L321_); trivial.
% 10.45/10.58 exact (zenon_H203 zenon_H9a).
% 10.45/10.58 apply (zenon_L675_); trivial.
% 10.45/10.58 (* end of lemma zenon_L1111_ *)
% 10.45/10.58 assert (zenon_L1112_ : (((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 (e2) (e0)) = (op (e3) (e0)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (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) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (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 (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((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)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((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)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (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) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((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)) = (e2)))\/((op (e0) (e2)) = (e0))) -> False).
% 10.45/10.58 do 0 intro. intros zenon_Hb0 zenon_Hab zenon_H1c0 zenon_H1af zenon_H203 zenon_Hec zenon_H7d zenon_H80 zenon_He4 zenon_He3 zenon_H1ef zenon_H169 zenon_He7 zenon_H44 zenon_H35 zenon_Hde zenon_H1f zenon_H191 zenon_H64 zenon_H3c zenon_H3a zenon_H42 zenon_H6f zenon_H1f0 zenon_H1ea zenon_H177 zenon_H173 zenon_H16e zenon_Hf5 zenon_H7a zenon_Hda zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_H28 zenon_Hfd zenon_H174 zenon_H156 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_Hf8 zenon_H12f zenon_H144 zenon_H10b zenon_Hc5 zenon_H132 zenon_H86 zenon_H145 zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H165 zenon_H108 zenon_H159 zenon_H103 zenon_H168 zenon_H23d zenon_H1dd zenon_Hc6 zenon_H14d zenon_H95 zenon_H4c zenon_H53 zenon_H16b zenon_Hdd zenon_H5e zenon_H127 zenon_Hd2 zenon_H216 zenon_H1f8 zenon_H1e6 zenon_H97 zenon_H238 zenon_H1b4 zenon_H67.
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.45/10.58 apply (zenon_L1110_); trivial.
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.45/10.58 apply (zenon_L1111_); trivial.
% 10.45/10.58 apply (zenon_L1084_); trivial.
% 10.45/10.58 apply (zenon_L1099_); trivial.
% 10.45/10.58 (* end of lemma zenon_L1112_ *)
% 10.45/10.58 assert (zenon_L1113_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (~((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))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (op (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 (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((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 (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((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 (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e3)) = (e1))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((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 (e3) (e3)) = (e3))) -> False).
% 10.45/10.58 do 0 intro. intros zenon_Hc0 zenon_H1cb zenon_H195 zenon_H67 zenon_H1b4 zenon_H238 zenon_H97 zenon_H1e6 zenon_H1f8 zenon_H216 zenon_Hd2 zenon_H127 zenon_H5e zenon_Hdd zenon_H16b zenon_H53 zenon_H4c zenon_H95 zenon_H14d zenon_Hc6 zenon_H1dd zenon_H23d zenon_H168 zenon_H103 zenon_H159 zenon_H108 zenon_H165 zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H145 zenon_H86 zenon_H132 zenon_Hc5 zenon_H10b zenon_H144 zenon_H12f zenon_Hf8 zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H174 zenon_Hfd zenon_H28 zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hda zenon_H7a zenon_Hf5 zenon_H16e zenon_H173 zenon_H177 zenon_H1ea zenon_H1f0 zenon_H6f zenon_H42 zenon_H3c zenon_H64 zenon_H191 zenon_H1f zenon_Hde zenon_H35 zenon_H44 zenon_He7 zenon_H169 zenon_H1ef zenon_He3 zenon_He4 zenon_H7d zenon_Hec zenon_H203 zenon_H1af zenon_H1c0 zenon_Hab zenon_Hb0 zenon_H80.
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.45/10.58 apply (zenon_L111_); trivial.
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.45/10.58 apply (zenon_L1078_); trivial.
% 10.45/10.58 apply (zenon_L1110_); trivial.
% 10.45/10.58 apply (zenon_L1086_); trivial.
% 10.45/10.58 apply (zenon_L1087_); trivial.
% 10.45/10.58 exact (zenon_H203 zenon_H9a).
% 10.45/10.58 apply (zenon_L325_); trivial.
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.45/10.58 apply (zenon_L1088_); trivial.
% 10.45/10.58 apply (zenon_L1112_); trivial.
% 10.45/10.58 apply (zenon_L1086_); trivial.
% 10.45/10.58 exact (zenon_H203 zenon_H9a).
% 10.45/10.58 apply (zenon_L325_); trivial.
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.45/10.58 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.45/10.58 apply (zenon_L1105_); trivial.
% 10.45/10.58 exact (zenon_H127 zenon_Hd0).
% 10.45/10.58 apply (zenon_L1108_); trivial.
% 10.45/10.58 apply (zenon_L149_); trivial.
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.45/10.58 apply (zenon_L1112_); trivial.
% 10.45/10.58 exact (zenon_H80 zenon_H84).
% 10.45/10.58 (* end of lemma zenon_L1113_ *)
% 10.45/10.58 assert (zenon_L1114_ : ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (e0))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (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 (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> False).
% 10.45/10.58 do 0 intro. intros zenon_H4a zenon_H23e zenon_H158 zenon_H152 zenon_Hfd zenon_H68 zenon_H103 zenon_H35 zenon_H10b zenon_H135 zenon_H144 zenon_H1d zenon_H16e zenon_H3c zenon_Hc8 zenon_Hc5 zenon_H44 zenon_H108 zenon_H151 zenon_H16b zenon_H80 zenon_H95 zenon_Hd3 zenon_H110 zenon_H112 zenon_H114 zenon_H118 zenon_H16f zenon_Hf5 zenon_H169 zenon_H4c zenon_Hda zenon_H156.
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.45/10.58 apply (zenon_L157_); trivial.
% 10.45/10.58 exact (zenon_H23e zenon_H43).
% 10.45/10.58 (* end of lemma zenon_L1114_ *)
% 10.45/10.58 assert (zenon_L1115_ : ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e1) = (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))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e1))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> (~((e2) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> False).
% 10.45/10.58 do 0 intro. intros zenon_H156 zenon_H51 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_H4c zenon_H64 zenon_Hf5 zenon_H7a zenon_H135 zenon_H35 zenon_H169 zenon_H5e zenon_H53 zenon_H44 zenon_H14d zenon_H3c zenon_Hc8 zenon_Hc5 zenon_H1d zenon_H1f zenon_H56 zenon_H95 zenon_H80 zenon_H16b zenon_H151 zenon_H152 zenon_H158.
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.45/10.58 apply (zenon_L148_); trivial.
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.45/10.58 apply (zenon_L367_); trivial.
% 10.45/10.58 apply (zenon_L79_); trivial.
% 10.45/10.58 (* end of lemma zenon_L1115_ *)
% 10.45/10.58 assert (zenon_L1116_ : ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((e1) = (e2))) -> ((op (e3) (e2)) = (e2)) -> (((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))))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e2) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> False).
% 10.45/10.58 do 0 intro. intros zenon_H150 zenon_H151 zenon_Hbb zenon_H4c zenon_H169 zenon_H1d zenon_H35 zenon_H135 zenon_Hf5 zenon_H14d zenon_H44 zenon_H53 zenon_H2a zenon_H14a zenon_H95 zenon_H80 zenon_H16b.
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_Hbc | zenon_intro zenon_H16c ].
% 10.45/10.58 apply (zenon_L146_); trivial.
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_Hbd | zenon_intro zenon_H16d ].
% 10.45/10.58 apply (zenon_L114_); trivial.
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_Hed | zenon_intro zenon_H84 ].
% 10.45/10.58 apply (zenon_L109_); trivial.
% 10.45/10.58 exact (zenon_H80 zenon_H84).
% 10.45/10.58 apply (zenon_L146_); trivial.
% 10.45/10.58 (* end of lemma zenon_L1116_ *)
% 10.45/10.58 assert (zenon_L1117_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (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 (e1) (e0)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (e0))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((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 (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (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 (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (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 (e0) (e3)) = (op (e3) (e3)))) -> (~((e0) = (e1))) -> (~((e0) = (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) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e3)) = (e3))) -> False).
% 10.45/10.58 do 0 intro. intros zenon_H173 zenon_H155 zenon_Hf8 zenon_H12f zenon_H132 zenon_H7d zenon_H86 zenon_H145 zenon_H165 zenon_H159 zenon_H168 zenon_H174 zenon_H4a zenon_H23e zenon_H158 zenon_Hfd zenon_H103 zenon_H35 zenon_H10b zenon_H144 zenon_H16e zenon_H3c zenon_Hc8 zenon_Hc5 zenon_H44 zenon_H108 zenon_H151 zenon_H16b zenon_H95 zenon_Hd3 zenon_H110 zenon_H112 zenon_H114 zenon_H118 zenon_H16f zenon_Hf5 zenon_H169 zenon_H4c zenon_Hda zenon_H156 zenon_H157 zenon_H150 zenon_Hbb zenon_H64 zenon_H7a zenon_H5e zenon_H53 zenon_H14d zenon_H1f zenon_H200 zenon_H14a zenon_H204 zenon_H152 zenon_H135 zenon_H80.
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.45/10.58 apply (zenon_L138_); trivial.
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.45/10.58 exact (zenon_H25 zenon_H2a).
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.45/10.58 apply (zenon_L1114_); trivial.
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.45/10.58 apply (zenon_L1115_); trivial.
% 10.45/10.58 exact (zenon_H23e zenon_H43).
% 10.45/10.58 apply (zenon_L1114_); trivial.
% 10.45/10.58 apply (zenon_L1116_); trivial.
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.45/10.58 apply (zenon_L116_); trivial.
% 10.45/10.58 exact (zenon_H80 zenon_H84).
% 10.45/10.58 (* end of lemma zenon_L1117_ *)
% 10.45/10.58 assert (zenon_L1118_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e0)) -> ((op (e3) (e1)) = (e3)) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((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 (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 10.45/10.58 do 0 intro. intros zenon_H177 zenon_He4 zenon_Hbd zenon_H80 zenon_H152 zenon_H204 zenon_H14a zenon_H200 zenon_H1f zenon_H14d zenon_H53 zenon_H5e zenon_H7a zenon_H64 zenon_Hbb zenon_H150 zenon_H157 zenon_H156 zenon_Hda zenon_H4c zenon_H169 zenon_Hf5 zenon_H16f zenon_H118 zenon_H114 zenon_H112 zenon_H110 zenon_Hd3 zenon_H95 zenon_H16b zenon_H151 zenon_H108 zenon_H44 zenon_Hc5 zenon_Hc8 zenon_H3c zenon_H16e zenon_H144 zenon_H10b zenon_H35 zenon_H103 zenon_Hfd zenon_H158 zenon_H23e zenon_H4a zenon_H174 zenon_H168 zenon_H159 zenon_H165 zenon_H145 zenon_H86 zenon_H7d zenon_H132 zenon_H12f zenon_Hf8 zenon_H155 zenon_H173 zenon_H7f.
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H178 ].
% 10.45/10.58 apply (zenon_L99_); trivial.
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H179 ].
% 10.45/10.58 apply (zenon_L50_); trivial.
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H135 | zenon_intro zenon_H85 ].
% 10.45/10.58 apply (zenon_L1117_); trivial.
% 10.45/10.58 exact (zenon_H7f zenon_H85).
% 10.45/10.58 (* end of lemma zenon_L1118_ *)
% 10.45/10.58 assert (zenon_L1119_ : (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (e1) (e0)) = (op (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 (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 (e3) (e3)))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (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)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (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 (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))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((e1) = (e3))) -> (((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 (e1) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> False).
% 10.45/10.58 do 0 intro. intros zenon_Hec zenon_H44 zenon_He4 zenon_H95 zenon_Hbd zenon_H173 zenon_H174 zenon_H4a zenon_H23e zenon_Hfd zenon_H16e zenon_H16b zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hf5 zenon_H169 zenon_Hda zenon_H64 zenon_H7a zenon_H5e zenon_H1f zenon_H200 zenon_H204 zenon_H156 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_Hf8 zenon_H12f zenon_H144 zenon_H10b zenon_H3c zenon_Hc8 zenon_Hc5 zenon_H132 zenon_H7d zenon_H80 zenon_H86 zenon_H145 zenon_H14d zenon_H53 zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H4c zenon_H165 zenon_H108 zenon_H159 zenon_H35 zenon_H103 zenon_H168 zenon_H177.
% 10.45/10.58 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.45/10.58 apply (zenon_L1118_); trivial.
% 10.45/10.58 apply (zenon_L60_); trivial.
% 10.45/10.58 (* end of lemma zenon_L1119_ *)
% 10.45/10.58 assert (zenon_L1120_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e3)) = (op (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 (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((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))))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (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 (e1) (e1)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((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))))) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.45/10.58 do 0 intro. intros zenon_H177 zenon_H168 zenon_H103 zenon_H159 zenon_H108 zenon_H165 zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H14d zenon_H145 zenon_H86 zenon_H132 zenon_H10b zenon_H144 zenon_H12f zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H204 zenon_H1f zenon_H7a zenon_H64 zenon_Hda zenon_H169 zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_H16b zenon_H16e zenon_Hfd zenon_H4a zenon_H174 zenon_H173 zenon_H7d zenon_H80 zenon_He4 zenon_He3 zenon_H200 zenon_H23e zenon_H3c zenon_H91 zenon_Hc7 zenon_Hc8 zenon_Hc5 zenon_H44 zenon_Haf zenon_Hc0 zenon_Hec zenon_H95 zenon_Hc1 zenon_H53 zenon_He8 zenon_Hbb zenon_He7 zenon_Hf5 zenon_H4c zenon_H35 zenon_H5e zenon_Hde zenon_H25 zenon_Hf8.
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.45/10.58 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.45/10.58 apply (zenon_L56_); trivial.
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.45/10.58 exact (zenon_H25 zenon_H2a).
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.45/10.58 apply (zenon_L66_); trivial.
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.45/10.58 apply (zenon_L129_); trivial.
% 10.45/10.58 exact (zenon_H23e zenon_H43).
% 10.45/10.58 apply (zenon_L1119_); trivial.
% 10.45/10.58 (* end of lemma zenon_L1120_ *)
% 10.45/10.58 assert (zenon_L1121_ : ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (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)))) -> (~((e0) = (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) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e3) (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)) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((e0) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e0)) = (e0)) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> False).
% 10.45/10.58 do 0 intro. intros zenon_H67 zenon_H1ef zenon_Hf8 zenon_H44 zenon_H3c zenon_H97 zenon_H95 zenon_H10b zenon_H53 zenon_H42 zenon_He3 zenon_H80 zenon_H7d zenon_H118 zenon_H114 zenon_H216 zenon_H110 zenon_Hd3 zenon_H151 zenon_H191 zenon_Hc1 zenon_H68 zenon_H1f zenon_H156 zenon_H3a zenon_Hc6 zenon_Hfd zenon_H5e zenon_H1dd zenon_He4 zenon_H108 zenon_H1ea zenon_H23e zenon_H4a.
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.45/10.58 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.45/10.59 apply (zenon_L1069_); trivial.
% 10.45/10.59 exact (zenon_H23e zenon_H43).
% 10.45/10.59 apply (zenon_L69_); trivial.
% 10.45/10.59 (* end of lemma zenon_L1121_ *)
% 10.45/10.59 assert (zenon_L1122_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((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) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (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 (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (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) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (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) (e3)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (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)) = (e1))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (e0))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> False).
% 10.45/10.59 do 0 intro. intros zenon_H177 zenon_H168 zenon_H103 zenon_H159 zenon_H165 zenon_H158 zenon_H152 zenon_H14a zenon_H14d zenon_H145 zenon_H86 zenon_H132 zenon_Hc5 zenon_Hc8 zenon_H144 zenon_H12f zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H204 zenon_H200 zenon_H7a zenon_H64 zenon_Hda zenon_H169 zenon_H16f zenon_H16b zenon_H16e zenon_H174 zenon_H173 zenon_Hec zenon_H7d zenon_H80 zenon_He4 zenon_He3 zenon_He7 zenon_Hbb zenon_H192 zenon_Haf zenon_Hf5 zenon_H4c zenon_H35 zenon_Hde zenon_He8 zenon_H4a zenon_H23e zenon_H1ea zenon_H108 zenon_H1dd zenon_H5e zenon_Hfd zenon_Hc6 zenon_H3a zenon_H156 zenon_H1f zenon_Hc1 zenon_H191 zenon_H151 zenon_Hd3 zenon_H110 zenon_H216 zenon_H114 zenon_H118 zenon_H42 zenon_H53 zenon_H10b zenon_H95 zenon_H97 zenon_H3c zenon_H44 zenon_Hf8 zenon_H1ef zenon_H67.
% 10.45/10.59 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.45/10.59 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.45/10.59 apply (zenon_L56_); trivial.
% 10.45/10.59 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H68 | zenon_intro zenon_He9 ].
% 10.45/10.59 apply (zenon_L1121_); trivial.
% 10.45/10.59 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Heb | zenon_intro zenon_Hea ].
% 10.45/10.59 exact (zenon_He8 zenon_Heb).
% 10.45/10.59 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H78 | zenon_intro zenon_He5 ].
% 10.45/10.59 apply (zenon_L667_); trivial.
% 10.45/10.59 apply (zenon_L58_); trivial.
% 10.45/10.59 apply (zenon_L1119_); trivial.
% 10.45/10.59 (* end of lemma zenon_L1122_ *)
% 10.45/10.59 assert (zenon_L1123_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((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 (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (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) (e3)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e1))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((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) (e0)) = (e2))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (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)))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.45/10.59 do 0 intro. intros zenon_H177 zenon_H168 zenon_H103 zenon_H35 zenon_H159 zenon_H165 zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H14d zenon_H145 zenon_H86 zenon_H132 zenon_Hc5 zenon_Hc8 zenon_H144 zenon_H12f zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H204 zenon_H1f zenon_H7a zenon_Hda zenon_H169 zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_H16b zenon_H16e zenon_H4a zenon_H174 zenon_H173 zenon_Hec zenon_H7d zenon_H80 zenon_He4 zenon_He3 zenon_H200 zenon_H23e zenon_H56 zenon_Hf5 zenon_H100 zenon_H1e6 zenon_H1f0 zenon_H5e zenon_H4c zenon_H108 zenon_H1dd zenon_Hb1 zenon_Hfd zenon_He8 zenon_H191 zenon_Hc1 zenon_H192 zenon_Hbb zenon_He7 zenon_H64 zenon_H27 zenon_H44 zenon_H3c zenon_H3a zenon_H97 zenon_H95 zenon_H10b zenon_H53 zenon_H28 zenon_H42 zenon_H25 zenon_Hf8.
% 10.45/10.59 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.45/10.59 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.45/10.59 apply (zenon_L56_); trivial.
% 10.45/10.59 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.45/10.59 exact (zenon_H25 zenon_H2a).
% 10.45/10.59 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.45/10.59 apply (zenon_L1065_); trivial.
% 10.45/10.59 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.45/10.59 apply (zenon_L511_); trivial.
% 10.45/10.59 exact (zenon_H23e zenon_H43).
% 10.45/10.59 apply (zenon_L1119_); trivial.
% 10.45/10.59 (* end of lemma zenon_L1123_ *)
% 10.45/10.59 assert (zenon_L1124_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((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))))) -> (~((e1) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (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 (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (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) (e3)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (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)))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.45/10.59 do 0 intro. intros zenon_H177 zenon_H168 zenon_H103 zenon_H35 zenon_H159 zenon_H108 zenon_H165 zenon_H4c zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H14d zenon_H145 zenon_H86 zenon_H132 zenon_Hc5 zenon_Hc8 zenon_H144 zenon_H12f zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H156 zenon_H204 zenon_H1f zenon_H5e zenon_H7a zenon_H64 zenon_Hda zenon_H169 zenon_Hf5 zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_H16b zenon_Hfd zenon_H4a zenon_H174 zenon_H173 zenon_Hec zenon_H7d zenon_H80 zenon_He4 zenon_He3 zenon_H200 zenon_H23e zenon_H6f zenon_H16e zenon_H1d zenon_H155 zenon_H1e6 zenon_H1f8 zenon_H27 zenon_H44 zenon_H3c zenon_H3a zenon_H97 zenon_H95 zenon_H10b zenon_H53 zenon_H28 zenon_H42 zenon_H25 zenon_Hf8.
% 10.45/10.59 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.45/10.59 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.45/10.59 apply (zenon_L56_); trivial.
% 10.45/10.59 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.45/10.59 exact (zenon_H25 zenon_H2a).
% 10.45/10.59 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.45/10.59 apply (zenon_L1065_); trivial.
% 10.45/10.59 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.45/10.59 apply (zenon_L672_); trivial.
% 10.45/10.59 exact (zenon_H23e zenon_H43).
% 10.45/10.59 apply (zenon_L1119_); trivial.
% 10.45/10.59 (* end of lemma zenon_L1124_ *)
% 10.45/10.59 assert (zenon_L1125_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (((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))))) -> (~((e1) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (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 (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (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) (e3)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (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)))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e0))) -> False).
% 10.45/10.59 do 0 intro. intros zenon_H177 zenon_H168 zenon_H103 zenon_H35 zenon_H108 zenon_H165 zenon_H4c zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H14d zenon_H145 zenon_H86 zenon_H132 zenon_Hc5 zenon_Hc8 zenon_H144 zenon_H12f zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H156 zenon_H204 zenon_H1f zenon_H5e zenon_H7a zenon_H64 zenon_Hda zenon_H169 zenon_Hf5 zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_H16b zenon_H16e zenon_Hfd zenon_H4a zenon_H174 zenon_H173 zenon_Hec zenon_H7d zenon_H80 zenon_He4 zenon_He3 zenon_H200 zenon_H23e zenon_H1f8 zenon_H1e6 zenon_H155 zenon_H15a zenon_H159 zenon_H6f zenon_Hf8 zenon_H27 zenon_H44 zenon_H3c zenon_H3a zenon_H97 zenon_H95 zenon_H10b zenon_H53 zenon_H28 zenon_H42 zenon_H25.
% 10.45/10.59 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.45/10.59 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.45/10.59 apply (zenon_L56_); trivial.
% 10.45/10.59 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.45/10.59 exact (zenon_H25 zenon_H2a).
% 10.45/10.59 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.45/10.59 apply (zenon_L1065_); trivial.
% 10.45/10.59 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.45/10.59 apply (zenon_L1062_); trivial.
% 10.45/10.59 exact (zenon_H23e zenon_H43).
% 10.45/10.59 apply (zenon_L1119_); trivial.
% 10.45/10.59 (* end of lemma zenon_L1125_ *)
% 10.45/10.59 assert (zenon_L1126_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((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 (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((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 (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((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) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e0) = (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) (e3)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (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 (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e2)) = (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) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.45/10.59 do 0 intro. intros zenon_H177 zenon_H168 zenon_H103 zenon_H35 zenon_H159 zenon_H165 zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H53 zenon_H14d zenon_H145 zenon_H86 zenon_H132 zenon_Hc5 zenon_Hc8 zenon_H3c zenon_H144 zenon_H12f zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H204 zenon_H200 zenon_H1f zenon_H7a zenon_Hda zenon_H169 zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_H16b zenon_H16e zenon_H23e zenon_H4a zenon_H174 zenon_H173 zenon_H95 zenon_H44 zenon_Hec zenon_H7d zenon_H80 zenon_He4 zenon_He3 zenon_H64 zenon_H28 zenon_He7 zenon_Hbb zenon_H192 zenon_Hc1 zenon_H191 zenon_He8 zenon_Hfd zenon_Hb1 zenon_H1dd zenon_H108 zenon_H10b zenon_H4c zenon_H97 zenon_H51 zenon_H5e zenon_H1f0 zenon_H1e6 zenon_H100 zenon_Hf5 zenon_H56 zenon_Hf8.
% 10.45/10.59 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.45/10.59 apply (zenon_L512_); trivial.
% 10.45/10.59 apply (zenon_L1119_); trivial.
% 10.45/10.59 (* end of lemma zenon_L1126_ *)
% 10.45/10.59 assert (zenon_L1127_ : ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (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 (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (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))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e0)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> False).
% 10.45/10.59 do 0 intro. intros zenon_H3a zenon_Hc6 zenon_Hf8 zenon_H56 zenon_Hf5 zenon_H100 zenon_H1e6 zenon_H1f0 zenon_H5e zenon_H51 zenon_H97 zenon_H4c zenon_H10b zenon_H108 zenon_H1dd zenon_Hfd zenon_He8 zenon_H191 zenon_Hc1 zenon_H192 zenon_Hbb zenon_He7 zenon_H28 zenon_H64 zenon_He3 zenon_He4 zenon_H80 zenon_H7d zenon_Hec zenon_H44 zenon_H95 zenon_H173 zenon_H174 zenon_H4a zenon_H23e zenon_H16e zenon_H16b zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_H169 zenon_Hda zenon_H7a zenon_H1f zenon_H200 zenon_H204 zenon_H156 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_H12f zenon_H144 zenon_H3c zenon_Hc8 zenon_Hc5 zenon_H132 zenon_H86 zenon_H145 zenon_H14d zenon_H53 zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H165 zenon_H159 zenon_H35 zenon_H103 zenon_H168 zenon_H177.
% 10.45/10.59 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.45/10.59 apply (zenon_L1126_); trivial.
% 10.45/10.59 apply (zenon_L321_); trivial.
% 10.45/10.59 (* end of lemma zenon_L1127_ *)
% 10.45/10.59 assert (zenon_L1128_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((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))))) -> (~((e1) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((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 (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (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 (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.45/10.59 do 0 intro. intros zenon_H177 zenon_H168 zenon_H103 zenon_H35 zenon_H159 zenon_H108 zenon_H165 zenon_H4c zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H53 zenon_H14d zenon_H145 zenon_H86 zenon_H132 zenon_Hc5 zenon_Hc8 zenon_H3c zenon_H10b zenon_H144 zenon_H12f zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H156 zenon_H204 zenon_H200 zenon_H1f zenon_H5e zenon_H7a zenon_H64 zenon_Hda zenon_H169 zenon_Hf5 zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_H16b zenon_Hfd zenon_H23e zenon_H4a zenon_H174 zenon_H173 zenon_H95 zenon_H44 zenon_H7d zenon_H80 zenon_He4 zenon_He3 zenon_H1f8 zenon_H1e6 zenon_H3a zenon_H155 zenon_H1d zenon_H16e zenon_H51 zenon_H6f zenon_Hf8.
% 10.45/10.59 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.45/10.59 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.45/10.59 apply (zenon_L56_); trivial.
% 10.45/10.59 apply (zenon_L672_); trivial.
% 10.45/10.59 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.45/10.59 apply (zenon_L1118_); trivial.
% 10.45/10.59 apply (zenon_L672_); trivial.
% 10.45/10.59 (* end of lemma zenon_L1128_ *)
% 10.45/10.59 assert (zenon_L1129_ : (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> ((op (e1) (e0)) = (e1)) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((e0) = (e2))) -> ((op (e3) (e0)) = (e0)) -> (~((e2) = (e3))) -> ((op (e3) (e1)) = (e3)) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (e1) (e0)) = (op (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 (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 (e3) (e3)))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (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)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (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 (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))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((e1) = (e3))) -> (((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 (e1) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> False).
% 10.45/10.59 do 0 intro. intros zenon_H6f zenon_H51 zenon_H15a zenon_H3a zenon_H1e6 zenon_H1f8 zenon_H44 zenon_He4 zenon_H95 zenon_Hbd zenon_H173 zenon_H174 zenon_H4a zenon_H23e zenon_Hfd zenon_H16e zenon_H16b zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hf5 zenon_H169 zenon_Hda zenon_H64 zenon_H7a zenon_H5e zenon_H1f zenon_H200 zenon_H204 zenon_H156 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_Hf8 zenon_H12f zenon_H144 zenon_H10b zenon_H3c zenon_Hc8 zenon_Hc5 zenon_H132 zenon_H7d zenon_H80 zenon_H86 zenon_H145 zenon_H14d zenon_H53 zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H4c zenon_H165 zenon_H108 zenon_H159 zenon_H35 zenon_H103 zenon_H168 zenon_H177.
% 10.45/10.59 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.45/10.59 apply (zenon_L1118_); trivial.
% 10.45/10.59 apply (zenon_L490_); trivial.
% 10.45/10.59 (* end of lemma zenon_L1129_ *)
% 10.45/10.59 assert (zenon_L1130_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (((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))))) -> (~((e1) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((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 (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (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 (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e0) = (e2))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.45/10.59 do 0 intro. intros zenon_H177 zenon_H168 zenon_H103 zenon_H35 zenon_H108 zenon_H165 zenon_H4c zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H53 zenon_H14d zenon_H145 zenon_H86 zenon_H132 zenon_Hc5 zenon_Hc8 zenon_H3c zenon_H10b zenon_H144 zenon_H12f zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H156 zenon_H204 zenon_H200 zenon_H1f zenon_H5e zenon_H7a zenon_H64 zenon_Hda zenon_H169 zenon_Hf5 zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_H16b zenon_H16e zenon_Hfd zenon_H23e zenon_H4a zenon_H174 zenon_H173 zenon_H95 zenon_H44 zenon_H7d zenon_H80 zenon_He4 zenon_He3 zenon_H1f8 zenon_H1e6 zenon_H3a zenon_H155 zenon_H15a zenon_H159 zenon_H51 zenon_H6f zenon_Hf8.
% 10.45/10.59 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.45/10.59 apply (zenon_L1062_); trivial.
% 10.45/10.59 apply (zenon_L1129_); trivial.
% 10.45/10.59 (* end of lemma zenon_L1130_ *)
% 10.45/10.59 assert (zenon_L1131_ : (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (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)))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e3) (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)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((e0) = (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) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (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 (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((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 (e3) (e1)))) -> (((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 (e3) (e3)))) -> (((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 (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (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)) = (op (e3) (e0)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> False).
% 10.45/10.59 do 0 intro. intros zenon_H56 zenon_H1e6 zenon_H1f0 zenon_H25 zenon_H67 zenon_H1ef zenon_Hf8 zenon_H44 zenon_H3c zenon_H97 zenon_H95 zenon_H10b zenon_H53 zenon_H42 zenon_H118 zenon_H114 zenon_H216 zenon_H110 zenon_Hd3 zenon_H151 zenon_H191 zenon_Hc1 zenon_H1f zenon_H156 zenon_H3a zenon_Hc6 zenon_Hfd zenon_H5e zenon_H1dd zenon_H108 zenon_H1ea zenon_H23e zenon_H4a zenon_Hde zenon_H35 zenon_H4c zenon_Hf5 zenon_Hbb zenon_He7 zenon_He3 zenon_He4 zenon_H80 zenon_H7d zenon_Hec zenon_H173 zenon_H174 zenon_H16e zenon_H16b zenon_H16f zenon_H169 zenon_Hda zenon_H64 zenon_H7a zenon_H200 zenon_H204 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_H12f zenon_H144 zenon_Hc8 zenon_Hc5 zenon_H132 zenon_H86 zenon_H145 zenon_H14d zenon_H14a zenon_H152 zenon_H158 zenon_H165 zenon_H159 zenon_H103 zenon_H168 zenon_H177 zenon_H6f zenon_H1f8.
% 10.45/10.59 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.45/10.59 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.45/10.59 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.45/10.59 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.45/10.59 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.45/10.59 apply (zenon_L1122_); trivial.
% 10.45/10.59 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.45/10.59 apply (zenon_L1123_); trivial.
% 10.45/10.59 apply (zenon_L321_); trivial.
% 10.45/10.59 apply (zenon_L1124_); trivial.
% 10.45/10.59 apply (zenon_L1125_); trivial.
% 10.45/10.59 exact (zenon_H23e zenon_H43).
% 10.45/10.59 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.45/10.59 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.45/10.59 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.45/10.59 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.45/10.59 apply (zenon_L1122_); trivial.
% 10.45/10.59 apply (zenon_L1127_); trivial.
% 10.45/10.59 apply (zenon_L1128_); trivial.
% 10.45/10.59 apply (zenon_L1130_); trivial.
% 10.45/10.59 exact (zenon_H23e zenon_H43).
% 10.45/10.59 (* end of lemma zenon_L1131_ *)
% 10.45/10.59 assert (zenon_L1132_ : (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (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 (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> (((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 (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((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 (e1) (e1)) = (e2))) -> (~((e0) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((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 (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (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)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> False).
% 10.45/10.59 do 0 intro. intros zenon_H1f8 zenon_H6f zenon_H1ea zenon_H1dd zenon_Hc6 zenon_H191 zenon_H216 zenon_H42 zenon_H97 zenon_H1ef zenon_H67 zenon_H1f0 zenon_H1e6 zenon_H56 zenon_Hf8 zenon_H25 zenon_Hde zenon_H5e zenon_H35 zenon_H4c zenon_Hf5 zenon_He7 zenon_Hbb zenon_He8 zenon_H53 zenon_Hc1 zenon_H95 zenon_Hec zenon_Hc0 zenon_Haf zenon_H44 zenon_Hc5 zenon_Hc8 zenon_H91 zenon_H3c zenon_H23e zenon_H200 zenon_He3 zenon_He4 zenon_H80 zenon_H7d zenon_H173 zenon_H174 zenon_H4a zenon_Hfd zenon_H16e zenon_H16b zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_H169 zenon_Hda zenon_H64 zenon_H7a zenon_H1f zenon_H204 zenon_H156 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_H12f zenon_H144 zenon_H10b zenon_H132 zenon_H86 zenon_H145 zenon_H14d zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H165 zenon_H108 zenon_H159 zenon_H103 zenon_H168 zenon_H177.
% 10.45/10.59 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.45/10.59 apply (zenon_L1120_); trivial.
% 10.45/10.59 apply (zenon_L1131_); trivial.
% 10.45/10.59 (* end of lemma zenon_L1132_ *)
% 10.45/10.59 assert (zenon_L1133_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((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))))) -> (~((e1) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (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 (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((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 (e1) (e1)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.45/10.59 do 0 intro. intros zenon_H177 zenon_H168 zenon_H103 zenon_H35 zenon_H159 zenon_H108 zenon_H165 zenon_H4c zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H14d zenon_H145 zenon_H86 zenon_H132 zenon_Hc5 zenon_Hc8 zenon_H3c zenon_H10b zenon_H144 zenon_H12f zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H204 zenon_H200 zenon_H1f zenon_H5e zenon_H7a zenon_H64 zenon_Hda zenon_H169 zenon_Hf5 zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_H16b zenon_H16e zenon_Hfd zenon_H23e zenon_H4a zenon_H174 zenon_H173 zenon_H7d zenon_H80 zenon_He4 zenon_He3 zenon_Hc0 zenon_Hec zenon_H95 zenon_Hc1 zenon_H53 zenon_He8 zenon_H44 zenon_Hb8 zenon_Hbb zenon_He7 zenon_Hf8.
% 10.45/10.59 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.45/10.59 apply (zenon_L186_); trivial.
% 10.45/10.59 apply (zenon_L1119_); trivial.
% 10.45/10.59 (* end of lemma zenon_L1133_ *)
% 10.45/10.59 assert (zenon_L1134_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e3)) = (op (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 (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> (((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 (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((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 (e1) (e1)) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.45/10.60 do 0 intro. intros zenon_H177 zenon_H168 zenon_H103 zenon_H159 zenon_H108 zenon_H165 zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H14d zenon_H145 zenon_H86 zenon_H132 zenon_Hc5 zenon_Hc8 zenon_H3c zenon_H10b zenon_H144 zenon_H12f zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H204 zenon_H200 zenon_H1f zenon_H7a zenon_H64 zenon_Hda zenon_H169 zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_H16b zenon_H16e zenon_Hfd zenon_H23e zenon_H4a zenon_H174 zenon_H173 zenon_H7d zenon_H80 zenon_He4 zenon_He3 zenon_Hde zenon_H5e zenon_H35 zenon_H4c zenon_Hf5 zenon_He7 zenon_Hbb zenon_He8 zenon_H53 zenon_Hc1 zenon_H95 zenon_Hec zenon_Hc0 zenon_Haf zenon_H68 zenon_H44 zenon_Hf8.
% 10.45/10.60 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.45/10.60 apply (zenon_L67_); trivial.
% 10.45/10.60 apply (zenon_L1119_); trivial.
% 10.45/10.60 (* end of lemma zenon_L1134_ *)
% 10.45/10.60 assert (zenon_L1135_ : (((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)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((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) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (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 (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (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) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (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) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (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 (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (((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 (e0) (e3)) = (e0))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 10.45/10.60 do 0 intro. intros zenon_Hc0 zenon_H195 zenon_H1f8 zenon_H6f zenon_H177 zenon_H168 zenon_H103 zenon_H159 zenon_H165 zenon_H158 zenon_H152 zenon_H14a zenon_H14d zenon_H145 zenon_H86 zenon_H132 zenon_Hc5 zenon_Hc8 zenon_H144 zenon_H12f zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H204 zenon_H200 zenon_H7a zenon_H64 zenon_Hda zenon_H169 zenon_H16f zenon_H16b zenon_H16e zenon_H174 zenon_H173 zenon_Hec zenon_H7d zenon_He4 zenon_He3 zenon_He7 zenon_Hbb zenon_Hf5 zenon_H4c zenon_H35 zenon_Hde zenon_H4a zenon_H23e zenon_H1ea zenon_H108 zenon_H1dd zenon_H5e zenon_Hfd zenon_Hc6 zenon_H156 zenon_H1f zenon_Hc1 zenon_H191 zenon_H151 zenon_Hd3 zenon_H110 zenon_H216 zenon_H114 zenon_H118 zenon_H42 zenon_H53 zenon_H10b zenon_H95 zenon_H97 zenon_H3c zenon_H44 zenon_Hf8 zenon_H1ef zenon_H67 zenon_H1f0 zenon_H1e6 zenon_H80.
% 10.45/10.60 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.45/10.60 apply (zenon_L111_); trivial.
% 10.45/10.60 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.45/10.60 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.45/10.60 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.45/10.60 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.45/10.60 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.45/10.60 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.45/10.60 apply (zenon_L1132_); trivial.
% 10.45/10.60 apply (zenon_L1133_); trivial.
% 10.45/10.60 apply (zenon_L149_); trivial.
% 10.45/10.60 apply (zenon_L325_); trivial.
% 10.45/10.60 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.45/10.60 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.45/10.60 apply (zenon_L1134_); trivial.
% 10.45/10.60 apply (zenon_L149_); trivial.
% 10.45/10.60 apply (zenon_L439_); trivial.
% 10.45/10.60 apply (zenon_L111_); trivial.
% 10.45/10.60 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.45/10.60 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.45/10.60 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.45/10.60 apply (zenon_L1131_); trivial.
% 10.45/10.60 apply (zenon_L1121_); trivial.
% 10.45/10.60 apply (zenon_L111_); trivial.
% 10.45/10.60 exact (zenon_H80 zenon_H84).
% 10.45/10.60 (* end of lemma zenon_L1135_ *)
% 10.45/10.60 assert (zenon_L1136_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (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)))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e3) (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)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((e0) = (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) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (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 (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((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 (e3) (e1)))) -> (((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 (e3) (e3)))) -> (((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 (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (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)) = (op (e3) (e0)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> False).
% 10.45/10.60 do 0 intro. intros zenon_Hd2 zenon_H127 zenon_H67 zenon_H1ef zenon_Hf8 zenon_H44 zenon_H3c zenon_H97 zenon_H95 zenon_H10b zenon_H53 zenon_H42 zenon_H118 zenon_H114 zenon_H216 zenon_H110 zenon_Hd3 zenon_H151 zenon_H191 zenon_Hc1 zenon_H1f zenon_H156 zenon_H3a zenon_Hc6 zenon_Hfd zenon_H5e zenon_H1dd zenon_H108 zenon_H1ea zenon_H23e zenon_H4a zenon_He8 zenon_Hde zenon_H35 zenon_H4c zenon_Hf5 zenon_Haf zenon_H192 zenon_Hbb zenon_He7 zenon_He3 zenon_He4 zenon_H80 zenon_H7d zenon_Hec zenon_H173 zenon_H174 zenon_H16e zenon_H16b zenon_H16f zenon_H169 zenon_Hda zenon_H64 zenon_H7a zenon_H200 zenon_H204 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_H12f zenon_H144 zenon_Hc5 zenon_H132 zenon_H86 zenon_H145 zenon_H14d zenon_H14a zenon_H152 zenon_H158 zenon_H165 zenon_H159 zenon_H103 zenon_H168 zenon_H177.
% 10.45/10.60 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.45/10.60 apply (zenon_L1122_); trivial.
% 10.45/10.60 exact (zenon_H127 zenon_Hd0).
% 10.45/10.60 (* end of lemma zenon_L1136_ *)
% 10.45/10.60 assert (zenon_L1137_ : ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((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 (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((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 (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((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 (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((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) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e0) = (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) (e3)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (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 (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> False).
% 10.45/10.60 do 0 intro. intros zenon_H3a zenon_Hc6 zenon_H177 zenon_H168 zenon_H103 zenon_H35 zenon_H159 zenon_H165 zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H53 zenon_H14d zenon_H145 zenon_H86 zenon_H132 zenon_Hc5 zenon_H3c zenon_H144 zenon_H12f zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H204 zenon_H200 zenon_H1f zenon_H7a zenon_Hda zenon_H169 zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_H16b zenon_H16e zenon_H23e zenon_H4a zenon_H174 zenon_H173 zenon_H95 zenon_H44 zenon_Hec zenon_H7d zenon_H80 zenon_He4 zenon_He3 zenon_H64 zenon_H28 zenon_He7 zenon_Hbb zenon_H192 zenon_Hc1 zenon_H191 zenon_He8 zenon_Hfd zenon_H1dd zenon_H108 zenon_H10b zenon_H4c zenon_H97 zenon_H51 zenon_H5e zenon_H1f0 zenon_H1e6 zenon_H100 zenon_Hf5 zenon_H56 zenon_Hf8 zenon_H127 zenon_Hd2.
% 10.45/10.60 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.45/10.60 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.45/10.60 apply (zenon_L1126_); trivial.
% 10.45/10.60 exact (zenon_H127 zenon_Hd0).
% 10.45/10.60 apply (zenon_L321_); trivial.
% 10.45/10.60 (* end of lemma zenon_L1137_ *)
% 10.45/10.60 assert (zenon_L1138_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (e1) (e0)) = (op (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 (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 (e3) (e3)))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (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)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (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))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((e1) = (e3))) -> (((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 (e1) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> False).
% 10.45/10.60 do 0 intro. intros zenon_Hd2 zenon_H127 zenon_Hf8 zenon_H6f zenon_H51 zenon_H16e zenon_H1d zenon_H155 zenon_H3a zenon_H1e6 zenon_H1f8 zenon_He3 zenon_He4 zenon_H80 zenon_H7d zenon_H44 zenon_H95 zenon_H173 zenon_H174 zenon_H4a zenon_H23e zenon_Hfd zenon_H16b zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hf5 zenon_H169 zenon_Hda zenon_H64 zenon_H7a zenon_H5e zenon_H1f zenon_H200 zenon_H204 zenon_H156 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_H12f zenon_H144 zenon_H10b zenon_H3c zenon_Hc5 zenon_H132 zenon_H86 zenon_H145 zenon_H14d zenon_H53 zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H4c zenon_H165 zenon_H108 zenon_H159 zenon_H35 zenon_H103 zenon_H168 zenon_H177.
% 10.45/10.60 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.45/10.60 apply (zenon_L1128_); trivial.
% 10.45/10.60 exact (zenon_H127 zenon_Hd0).
% 10.45/10.60 (* end of lemma zenon_L1138_ *)
% 10.45/10.60 assert (zenon_L1139_ : (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e0)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((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) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (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 (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (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) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (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) (e3)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (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 (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (((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 (e0) (e3)) = (e0))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> False).
% 10.45/10.60 do 0 intro. intros zenon_H56 zenon_H1e6 zenon_H1f0 zenon_H51 zenon_H28 zenon_H177 zenon_H168 zenon_H103 zenon_H159 zenon_H165 zenon_H158 zenon_H152 zenon_H14a zenon_H14d zenon_H145 zenon_H86 zenon_H132 zenon_Hc5 zenon_H144 zenon_H12f zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H204 zenon_H200 zenon_H7a zenon_H64 zenon_Hda zenon_H169 zenon_H16f zenon_H16b zenon_H16e zenon_H174 zenon_H173 zenon_Hec zenon_H7d zenon_H80 zenon_He4 zenon_He3 zenon_He7 zenon_Hbb zenon_Hf5 zenon_H4c zenon_H35 zenon_Hde zenon_H4a zenon_H23e zenon_H1ea zenon_H108 zenon_H1dd zenon_H5e zenon_Hfd zenon_Hc6 zenon_H3a zenon_H156 zenon_H1f zenon_Hc1 zenon_H191 zenon_H151 zenon_Hd3 zenon_H110 zenon_H216 zenon_H114 zenon_H118 zenon_H42 zenon_H53 zenon_H10b zenon_H95 zenon_H97 zenon_H3c zenon_H44 zenon_Hf8 zenon_H1ef zenon_H67 zenon_H127 zenon_Hd2 zenon_H6f zenon_H1f8.
% 10.45/10.60 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.45/10.60 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.45/10.60 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.45/10.60 apply (zenon_L1136_); trivial.
% 10.45/10.60 apply (zenon_L1137_); trivial.
% 10.45/10.60 apply (zenon_L1138_); trivial.
% 10.45/10.60 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.45/10.60 apply (zenon_L1130_); trivial.
% 10.45/10.60 exact (zenon_H127 zenon_Hd0).
% 10.45/10.60 (* end of lemma zenon_L1139_ *)
% 10.45/10.60 assert (zenon_L1140_ : (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((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) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (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 (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (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) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (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) (e3)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (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 (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (((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 (e0) (e3)) = (e0))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> False).
% 10.45/10.60 do 0 intro. intros zenon_H25 zenon_H1f0 zenon_H1e6 zenon_H56 zenon_H177 zenon_H168 zenon_H103 zenon_H159 zenon_H165 zenon_H158 zenon_H152 zenon_H14a zenon_H14d zenon_H145 zenon_H86 zenon_H132 zenon_Hc5 zenon_H144 zenon_H12f zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H204 zenon_H200 zenon_H7a zenon_H64 zenon_Hda zenon_H169 zenon_H16f zenon_H16b zenon_H16e zenon_H174 zenon_H173 zenon_Hec zenon_H7d zenon_H80 zenon_He4 zenon_He3 zenon_He7 zenon_Hbb zenon_Hf5 zenon_H4c zenon_H35 zenon_Hde zenon_H4a zenon_H23e zenon_H1ea zenon_H108 zenon_H1dd zenon_H5e zenon_Hfd zenon_Hc6 zenon_H3a zenon_H156 zenon_H1f zenon_Hc1 zenon_H191 zenon_H151 zenon_Hd3 zenon_H110 zenon_H216 zenon_H114 zenon_H118 zenon_H42 zenon_H53 zenon_H10b zenon_H95 zenon_H97 zenon_H3c zenon_H44 zenon_Hf8 zenon_H1ef zenon_H67 zenon_H127 zenon_Hd2 zenon_H1f8 zenon_H6f.
% 10.45/10.60 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.45/10.60 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.45/10.60 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.45/10.60 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.45/10.60 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.45/10.60 apply (zenon_L1136_); trivial.
% 10.45/10.60 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.45/10.60 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.45/10.60 apply (zenon_L1123_); trivial.
% 10.45/10.60 exact (zenon_H127 zenon_Hd0).
% 10.45/10.60 apply (zenon_L321_); trivial.
% 10.45/10.60 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.45/10.60 apply (zenon_L1124_); trivial.
% 10.45/10.60 exact (zenon_H127 zenon_Hd0).
% 10.45/10.60 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.45/10.60 apply (zenon_L1125_); trivial.
% 10.45/10.60 exact (zenon_H127 zenon_Hd0).
% 10.45/10.60 exact (zenon_H23e zenon_H43).
% 10.45/10.60 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.45/10.60 apply (zenon_L1139_); trivial.
% 10.45/10.60 exact (zenon_H23e zenon_H43).
% 10.45/10.60 (* end of lemma zenon_L1140_ *)
% 10.45/10.60 assert (zenon_L1141_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (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)) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((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 (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (e1) (e0)) = (op (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 (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 (e3) (e3)))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (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)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (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)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((e1) = (e3))) -> (((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 (e1) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> False).
% 10.45/10.60 do 0 intro. intros zenon_Hd2 zenon_H127 zenon_Hf8 zenon_He7 zenon_Hbb zenon_Hb8 zenon_H44 zenon_He8 zenon_H53 zenon_Hc1 zenon_H95 zenon_Hec zenon_Hc0 zenon_He3 zenon_He4 zenon_H80 zenon_H7d zenon_H173 zenon_H174 zenon_H4a zenon_H23e zenon_Hfd zenon_H16e zenon_H16b zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hf5 zenon_H169 zenon_Hda zenon_H64 zenon_H7a zenon_H5e zenon_H1f zenon_H200 zenon_H204 zenon_H156 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_H12f zenon_H144 zenon_H10b zenon_H3c zenon_Hc5 zenon_H132 zenon_H86 zenon_H145 zenon_H14d zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H4c zenon_H165 zenon_H108 zenon_H159 zenon_H35 zenon_H103 zenon_H168 zenon_H177.
% 10.45/10.60 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.45/10.60 apply (zenon_L1133_); trivial.
% 10.45/10.60 exact (zenon_H127 zenon_Hd0).
% 10.45/10.60 (* end of lemma zenon_L1141_ *)
% 10.45/10.60 assert (zenon_L1142_ : (~((op (e0) (e1)) = (op (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 (e1) (e1)) = (e0)))\/((op (e1) (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 (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((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) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (op (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 (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (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) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (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) (e3)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (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 (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((e1) = (e2))) -> (((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 (e0) (e3)) = (e0))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> False).
% 10.45/10.60 do 0 intro. intros zenon_H1f0 zenon_H1e6 zenon_H177 zenon_H168 zenon_H103 zenon_H159 zenon_H165 zenon_H158 zenon_H152 zenon_H14a zenon_H14d zenon_H145 zenon_H86 zenon_H132 zenon_Hc5 zenon_H144 zenon_H12f zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H204 zenon_H200 zenon_H7a zenon_H64 zenon_Hda zenon_H169 zenon_H16f zenon_H16b zenon_H16e zenon_H174 zenon_H173 zenon_Hec zenon_H7d zenon_H80 zenon_He4 zenon_He3 zenon_He7 zenon_Hbb zenon_Hf5 zenon_H4c zenon_H35 zenon_Hde zenon_H4a zenon_H23e zenon_H1ea zenon_H108 zenon_H1dd zenon_H5e zenon_Hfd zenon_Hc6 zenon_H3a zenon_H156 zenon_H1f zenon_Hc1 zenon_H191 zenon_H151 zenon_Hd3 zenon_H110 zenon_H216 zenon_H114 zenon_H118 zenon_H42 zenon_H53 zenon_H10b zenon_H95 zenon_H97 zenon_H3c zenon_H44 zenon_Hf8 zenon_H1ef zenon_H67 zenon_H127 zenon_Hd2 zenon_H1f8 zenon_H6f.
% 10.45/10.60 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.45/10.60 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.45/10.60 apply (zenon_L1140_); trivial.
% 10.45/10.60 apply (zenon_L1121_); trivial.
% 10.45/10.60 apply (zenon_L111_); trivial.
% 10.45/10.60 (* end of lemma zenon_L1142_ *)
% 10.45/10.60 assert (zenon_L1143_ : (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (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)))) -> (~((e0) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e3) (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)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((e0) = (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) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((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 (e3) (e1)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((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 (e3) (e1)))) -> (((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 (e3) (e3)))) -> (((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 (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (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)) = (op (e3) (e0)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (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 (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 10.45/10.60 do 0 intro. intros zenon_Hc0 zenon_H195 zenon_H6f zenon_H1f8 zenon_Hd2 zenon_H127 zenon_H67 zenon_H1ef zenon_Hf8 zenon_H44 zenon_H3c zenon_H97 zenon_H95 zenon_H10b zenon_H53 zenon_H42 zenon_H118 zenon_H114 zenon_H216 zenon_H110 zenon_Hd3 zenon_H151 zenon_H191 zenon_Hc1 zenon_H1f zenon_H156 zenon_Hc6 zenon_Hfd zenon_H5e zenon_H1dd zenon_H108 zenon_H1ea zenon_H23e zenon_H4a zenon_Hde zenon_H35 zenon_H4c zenon_Hf5 zenon_Hbb zenon_He7 zenon_He3 zenon_He4 zenon_H7d zenon_Hec zenon_H173 zenon_H174 zenon_H16e zenon_H16b zenon_H16f zenon_H169 zenon_Hda zenon_H64 zenon_H7a zenon_H200 zenon_H204 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_H12f zenon_H144 zenon_Hc5 zenon_H132 zenon_H86 zenon_H145 zenon_H14d zenon_H14a zenon_H152 zenon_H158 zenon_H165 zenon_H159 zenon_H103 zenon_H168 zenon_H177 zenon_H1e6 zenon_H1f0 zenon_H80.
% 10.45/10.60 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.45/10.60 apply (zenon_L111_); trivial.
% 10.45/10.60 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.45/10.60 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.45/10.60 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.45/10.60 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.45/10.60 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.45/10.60 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.45/10.60 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.45/10.60 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.45/10.60 apply (zenon_L1120_); trivial.
% 10.45/10.60 exact (zenon_H127 zenon_Hd0).
% 10.45/10.60 apply (zenon_L1140_); trivial.
% 10.45/10.60 apply (zenon_L1141_); trivial.
% 10.45/10.60 apply (zenon_L149_); trivial.
% 10.45/10.60 apply (zenon_L325_); trivial.
% 10.45/10.60 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.45/10.60 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.45/10.60 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.45/10.60 apply (zenon_L1134_); trivial.
% 10.45/10.60 exact (zenon_H127 zenon_Hd0).
% 10.45/10.60 apply (zenon_L149_); trivial.
% 10.45/10.60 apply (zenon_L325_); trivial.
% 10.45/10.60 apply (zenon_L111_); trivial.
% 10.45/10.60 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.45/10.60 apply (zenon_L1142_); trivial.
% 10.45/10.60 exact (zenon_H80 zenon_H84).
% 10.45/10.60 (* end of lemma zenon_L1143_ *)
% 10.45/10.60 assert (zenon_L1144_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e3)) = (op (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 (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((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 (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e0) = (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) (e3)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (~((op (e1) (e3)) = (e1))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (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 (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.45/10.60 do 0 intro. intros zenon_H177 zenon_H168 zenon_H103 zenon_H35 zenon_H159 zenon_H108 zenon_H165 zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H14d zenon_H145 zenon_H86 zenon_H132 zenon_H144 zenon_H12f zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H204 zenon_H1f zenon_H7a zenon_H64 zenon_Hda zenon_H169 zenon_Hf5 zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_H16b zenon_H16e zenon_Hfd zenon_H4a zenon_H174 zenon_H173 zenon_H95 zenon_H44 zenon_Hec zenon_H7d zenon_H80 zenon_He4 zenon_He3 zenon_H200 zenon_H23e zenon_H3c zenon_H91 zenon_Hc7 zenon_Hc8 zenon_Hc5 zenon_H28 zenon_H53 zenon_H10b zenon_Hb0 zenon_H4c zenon_H203 zenon_H5e zenon_Hab zenon_Hb1 zenon_Hd3 zenon_H1c0 zenon_H97 zenon_H25 zenon_Hf8.
% 10.45/10.60 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.45/10.60 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.45/10.60 apply (zenon_L56_); trivial.
% 10.45/10.60 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.45/10.60 exact (zenon_H25 zenon_H2a).
% 10.45/10.60 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.45/10.60 apply (zenon_L1103_); trivial.
% 10.45/10.60 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.45/10.60 apply (zenon_L129_); trivial.
% 10.45/10.60 exact (zenon_H23e zenon_H43).
% 10.45/10.60 apply (zenon_L1119_); trivial.
% 10.45/10.60 (* end of lemma zenon_L1144_ *)
% 10.45/10.60 assert (zenon_L1145_ : (((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) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (e1))) -> (~((e0) = (e1))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e3) (e3)) = (e1))) -> False).
% 10.45/10.60 do 0 intro. intros zenon_Hab zenon_H80 zenon_H7f zenon_H7a zenon_H8d zenon_H7d zenon_H203 zenon_H5e zenon_H89 zenon_H7e.
% 10.45/10.60 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H62 | zenon_intro zenon_Hac ].
% 10.45/10.60 apply (zenon_L87_); trivial.
% 10.45/10.60 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H9a | zenon_intro zenon_Had ].
% 10.45/10.60 exact (zenon_H203 zenon_H9a).
% 10.45/10.60 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H8a | zenon_intro zenon_H83 ].
% 10.45/10.60 apply (zenon_L27_); trivial.
% 10.45/10.60 exact (zenon_H7e zenon_H83).
% 10.45/10.60 (* end of lemma zenon_L1145_ *)
% 10.45/10.60 assert (zenon_L1146_ : ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((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) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e1) (e3)) = (e1))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> False).
% 10.45/10.60 do 0 intro. intros zenon_Hf8 zenon_H6f zenon_H51 zenon_H159 zenon_H1e6 zenon_H1f8 zenon_H35 zenon_H15a zenon_Haf zenon_H155 zenon_H3a zenon_H8c zenon_H7d zenon_H80 zenon_H7a zenon_H8d zenon_H203 zenon_H5e zenon_H7e zenon_Hab zenon_H44 zenon_H23e zenon_Hae.
% 10.45/10.60 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.45/10.60 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6a | zenon_intro zenon_Hb2 ].
% 10.45/10.60 apply (zenon_L238_); trivial.
% 10.45/10.60 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb3 ].
% 10.45/10.60 exact (zenon_Haf zenon_Hb4).
% 10.45/10.60 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H6e | zenon_intro zenon_H9b ].
% 10.45/10.60 apply (zenon_L223_); trivial.
% 10.45/10.60 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H43 | zenon_intro zenon_H8e ].
% 10.45/10.60 exact (zenon_H23e zenon_H43).
% 10.45/10.60 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H87 | zenon_intro zenon_H8f ].
% 10.45/10.60 apply (zenon_L92_); trivial.
% 10.45/10.60 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H7b ].
% 10.45/10.60 apply (zenon_L1145_); trivial.
% 10.45/10.60 exact (zenon_H8d zenon_H7b).
% 10.45/10.60 apply (zenon_L490_); trivial.
% 10.45/10.60 (* end of lemma zenon_L1146_ *)
% 10.45/10.60 assert (zenon_L1147_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((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)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((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 (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((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 (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e0) (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) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e2))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.45/10.61 do 0 intro. intros zenon_H177 zenon_H168 zenon_H103 zenon_H108 zenon_H165 zenon_H4c zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H53 zenon_H14d zenon_H145 zenon_H86 zenon_H132 zenon_Hc5 zenon_Hc8 zenon_H3c zenon_H10b zenon_H144 zenon_H12f zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H156 zenon_H204 zenon_H200 zenon_H1f zenon_H64 zenon_Hda zenon_H169 zenon_Hf5 zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_H16b zenon_H16e zenon_Hfd zenon_H4a zenon_H174 zenon_H173 zenon_H95 zenon_He4 zenon_Hae zenon_H23e zenon_H44 zenon_Hab zenon_H5e zenon_H203 zenon_H8d zenon_H7a zenon_H80 zenon_H7d zenon_H8c zenon_H3a zenon_H155 zenon_Haf zenon_H15a zenon_H35 zenon_H1f8 zenon_H1e6 zenon_H159 zenon_H51 zenon_H6f zenon_Hf8.
% 10.45/10.61 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.45/10.61 apply (zenon_L1146_); trivial.
% 10.45/10.61 apply (zenon_L1129_); trivial.
% 10.45/10.61 (* end of lemma zenon_L1147_ *)
% 10.45/10.61 assert (zenon_L1148_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e2)) = (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))))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (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 (e3) (e3)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (e1) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (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)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (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))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e3) (e0)) = (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) (e1)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e2) (e2)) = (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) (e1)) = (e3))) -> (~((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) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (((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 (e3) (e3)) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> (~((e0) = (e1))) -> False).
% 10.45/10.61 do 0 intro. intros zenon_H1b4 zenon_H6f zenon_H159 zenon_H1f8 zenon_H35 zenon_Haf zenon_H155 zenon_H3a zenon_H8c zenon_H7a zenon_H8d zenon_Hab zenon_H44 zenon_H23e zenon_Hae zenon_H95 zenon_H173 zenon_H174 zenon_H4a zenon_H16e zenon_H16b zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_H169 zenon_H1f zenon_H200 zenon_H204 zenon_H156 zenon_H112 zenon_H157 zenon_H150 zenon_H12f zenon_H144 zenon_H3c zenon_Hc8 zenon_Hc5 zenon_H132 zenon_H86 zenon_H145 zenon_H14d zenon_H53 zenon_H14a zenon_H152 zenon_H158 zenon_H165 zenon_H103 zenon_H168 zenon_H177 zenon_Hf8 zenon_H1dd zenon_He3 zenon_H80 zenon_H7d zenon_Hbb zenon_H151 zenon_H4c zenon_H238 zenon_Hed zenon_H10b zenon_He7 zenon_Hb1 zenon_Hfd zenon_H108 zenon_Hc1 zenon_H192 zenon_He8 zenon_H191 zenon_H28 zenon_H97 zenon_H51 zenon_Hf5 zenon_H1f0 zenon_H1e6 zenon_H7e zenon_H56 zenon_H64 zenon_H203 zenon_Hda zenon_He4 zenon_H5e.
% 10.45/10.61 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 10.45/10.61 exact (zenon_H56 zenon_H2c).
% 10.45/10.61 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 10.45/10.61 apply (zenon_L1147_); trivial.
% 10.45/10.61 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 10.45/10.61 apply (zenon_L1090_); trivial.
% 10.45/10.61 apply (zenon_L62_); trivial.
% 10.45/10.61 (* end of lemma zenon_L1148_ *)
% 10.45/10.61 assert (zenon_L1149_ : (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (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 (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (e1))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((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)) = (e0))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (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 (e1) (e0)) = (op (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 (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) (e1)) = (op (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)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((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)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (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))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((e1) = (e3))) -> (((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 (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 10.45/10.61 do 0 intro. intros zenon_H25 zenon_H42 zenon_H1c0 zenon_Hd3 zenon_Hb1 zenon_Hab zenon_H5e zenon_H203 zenon_H35 zenon_Hb0 zenon_H3a zenon_H3c zenon_H44 zenon_H27 zenon_H1b4 zenon_H28 zenon_H238 zenon_H1f0 zenon_H97 zenon_H1dd zenon_He8 zenon_H191 zenon_Hc1 zenon_He7 zenon_H192 zenon_Hf8 zenon_H6f zenon_H159 zenon_H1e6 zenon_H1f8 zenon_Haf zenon_H155 zenon_H8c zenon_H7a zenon_H23e zenon_Hae zenon_H95 zenon_H173 zenon_H174 zenon_H4a zenon_Hfd zenon_H16e zenon_H16b zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hf5 zenon_H169 zenon_Hda zenon_H64 zenon_H1f zenon_H200 zenon_H204 zenon_H156 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_H12f zenon_H144 zenon_H10b zenon_Hc8 zenon_Hc5 zenon_H132 zenon_H86 zenon_H145 zenon_H14d zenon_H53 zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H4c zenon_H165 zenon_H108 zenon_H103 zenon_H168 zenon_H177 zenon_H56 zenon_He3 zenon_He4 zenon_H80 zenon_H7d zenon_Hec.
% 10.45/10.61 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.45/10.61 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.45/10.61 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.45/10.61 apply (zenon_L56_); trivial.
% 10.45/10.61 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.45/10.61 exact (zenon_H25 zenon_H2a).
% 10.45/10.61 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.45/10.61 apply (zenon_L1097_); trivial.
% 10.45/10.61 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.45/10.61 apply (zenon_L1148_); trivial.
% 10.45/10.61 exact (zenon_H23e zenon_H43).
% 10.45/10.61 apply (zenon_L1119_); trivial.
% 10.45/10.61 apply (zenon_L674_); trivial.
% 10.45/10.61 (* end of lemma zenon_L1149_ *)
% 10.45/10.61 assert (zenon_L1150_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((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 (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((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 (e1) (e2)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (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) (e3)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (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)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((op (e1) (e3)) = (e1))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (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 (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.45/10.61 do 0 intro. intros zenon_H177 zenon_H168 zenon_H103 zenon_H159 zenon_H165 zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H53 zenon_H14d zenon_H145 zenon_H86 zenon_H132 zenon_Hc5 zenon_Hc8 zenon_H144 zenon_H12f zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H204 zenon_H1f zenon_H7a zenon_Hda zenon_H169 zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_H16b zenon_H16e zenon_H4a zenon_H174 zenon_H173 zenon_H95 zenon_Hec zenon_H7d zenon_H80 zenon_He4 zenon_He3 zenon_H200 zenon_H23e zenon_H56 zenon_Hf5 zenon_H100 zenon_H1e6 zenon_H1f0 zenon_H97 zenon_H4c zenon_H10b zenon_H108 zenon_H1dd zenon_Hfd zenon_He8 zenon_H191 zenon_Hc1 zenon_H192 zenon_Hbb zenon_He7 zenon_H28 zenon_H64 zenon_H27 zenon_H44 zenon_H3c zenon_H3a zenon_Hb0 zenon_H35 zenon_H203 zenon_H5e zenon_Hab zenon_Hb1 zenon_Hd3 zenon_H1c0 zenon_H42 zenon_H25 zenon_Hf8.
% 10.45/10.61 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.45/10.61 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.45/10.61 apply (zenon_L56_); trivial.
% 10.45/10.61 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.45/10.61 exact (zenon_H25 zenon_H2a).
% 10.45/10.61 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.45/10.61 apply (zenon_L1097_); trivial.
% 10.45/10.61 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.45/10.61 apply (zenon_L511_); trivial.
% 10.45/10.61 exact (zenon_H23e zenon_H43).
% 10.45/10.61 apply (zenon_L1119_); trivial.
% 10.45/10.61 (* end of lemma zenon_L1150_ *)
% 10.45/10.61 assert (zenon_L1151_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (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))))) -> (~((e1) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((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 (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e3)) = (op (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 (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (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) (e3)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((op (e1) (e3)) = (e1))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (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 (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.45/10.61 do 0 intro. intros zenon_H177 zenon_H168 zenon_H103 zenon_H159 zenon_H108 zenon_H165 zenon_H4c zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H53 zenon_H14d zenon_H145 zenon_H86 zenon_H132 zenon_Hc5 zenon_Hc8 zenon_H10b zenon_H144 zenon_H12f zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H156 zenon_H204 zenon_H1f zenon_H7a zenon_H64 zenon_Hda zenon_H169 zenon_Hf5 zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_H16b zenon_Hfd zenon_H4a zenon_H174 zenon_H173 zenon_H95 zenon_Hec zenon_H7d zenon_H80 zenon_He4 zenon_He3 zenon_H200 zenon_H23e zenon_H6f zenon_H16e zenon_H1d zenon_H155 zenon_H1e6 zenon_H1f8 zenon_H27 zenon_H44 zenon_H3c zenon_H3a zenon_Hb0 zenon_H35 zenon_H203 zenon_H5e zenon_Hab zenon_Hb1 zenon_Hd3 zenon_H1c0 zenon_H42 zenon_H25 zenon_Hf8.
% 10.45/10.61 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.45/10.61 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.45/10.61 apply (zenon_L56_); trivial.
% 10.45/10.61 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.45/10.61 exact (zenon_H25 zenon_H2a).
% 10.45/10.61 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.45/10.61 apply (zenon_L1097_); trivial.
% 10.45/10.61 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.45/10.61 apply (zenon_L672_); trivial.
% 10.45/10.61 exact (zenon_H23e zenon_H43).
% 10.45/10.61 apply (zenon_L1119_); trivial.
% 10.45/10.61 (* end of lemma zenon_L1151_ *)
% 10.45/10.61 assert (zenon_L1152_ : ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (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 (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (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)) = (e0))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (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 (e1) (e0)) = (op (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 (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) (e1)) = (op (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)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((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)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (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))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((e1) = (e3))) -> (((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 (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (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) (e0)) = (op (e2) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> False).
% 10.45/10.61 do 0 intro. intros zenon_H1ef zenon_H1af zenon_H25 zenon_H42 zenon_H1c0 zenon_Hd3 zenon_Hab zenon_H5e zenon_H203 zenon_H35 zenon_Hb0 zenon_H3a zenon_H3c zenon_H44 zenon_H27 zenon_H1b4 zenon_H28 zenon_H238 zenon_H1f0 zenon_H97 zenon_H1dd zenon_He8 zenon_H191 zenon_He7 zenon_Hf8 zenon_H6f zenon_H159 zenon_H1e6 zenon_H1f8 zenon_H155 zenon_H8c zenon_H7a zenon_H23e zenon_Hae zenon_H95 zenon_H173 zenon_H174 zenon_H4a zenon_Hfd zenon_H16e zenon_H16b zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hf5 zenon_H169 zenon_Hda zenon_H64 zenon_H1f zenon_H200 zenon_H204 zenon_H156 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_H12f zenon_H144 zenon_H10b zenon_Hc8 zenon_Hc5 zenon_H132 zenon_H86 zenon_H145 zenon_H14d zenon_H53 zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H4c zenon_H165 zenon_H108 zenon_H103 zenon_H168 zenon_H177 zenon_H56 zenon_He3 zenon_He4 zenon_H80 zenon_H7d zenon_Hec zenon_Hc6 zenon_H1ea.
% 10.45/10.61 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.45/10.61 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.45/10.61 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.45/10.61 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.45/10.61 apply (zenon_L1149_); trivial.
% 10.45/10.61 apply (zenon_L321_); trivial.
% 10.45/10.61 exact (zenon_H203 zenon_H9a).
% 10.45/10.61 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.45/10.61 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.45/10.61 apply (zenon_L1150_); trivial.
% 10.45/10.61 apply (zenon_L321_); trivial.
% 10.45/10.61 exact (zenon_H203 zenon_H9a).
% 10.45/10.61 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.45/10.61 apply (zenon_L1151_); trivial.
% 10.45/10.61 apply (zenon_L321_); trivial.
% 10.45/10.61 (* end of lemma zenon_L1152_ *)
% 10.45/10.61 assert (zenon_L1153_ : (((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) (e0)) = (op (e3) (e1)))) -> (~((e0) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False).
% 10.45/10.61 do 0 intro. intros zenon_H97 zenon_H28 zenon_He4 zenon_Hbb zenon_H44 zenon_Hb8 zenon_He8 zenon_H53 zenon_He7 zenon_H10b zenon_Hed zenon_H62 zenon_H4c.
% 10.45/10.61 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H31 | zenon_intro zenon_H98 ].
% 10.45/10.61 exact (zenon_H28 zenon_H31).
% 10.45/10.61 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ].
% 10.45/10.61 apply (zenon_L59_); trivial.
% 10.45/10.61 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H52 | zenon_intro zenon_H57 ].
% 10.45/10.61 apply (zenon_L75_); trivial.
% 10.45/10.61 apply (zenon_L13_); trivial.
% 10.45/10.61 (* end of lemma zenon_L1153_ *)
% 10.45/10.61 assert (zenon_L1154_ : (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((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))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e0) = (e2))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> False).
% 10.45/10.61 do 0 intro. intros zenon_H64 zenon_H56 zenon_H1f zenon_H1d zenon_H5e zenon_H51 zenon_H97 zenon_H28 zenon_He4 zenon_Hbb zenon_H44 zenon_Hb8 zenon_He8 zenon_H53 zenon_He7 zenon_H10b zenon_Hed zenon_H4c.
% 10.45/10.61 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.45/10.61 exact (zenon_H56 zenon_H2c).
% 10.45/10.61 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.45/10.61 apply (zenon_L1_); trivial.
% 10.45/10.61 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.45/10.61 apply (zenon_L12_); trivial.
% 10.45/10.61 apply (zenon_L1153_); trivial.
% 10.45/10.61 (* end of lemma zenon_L1154_ *)
% 10.45/10.61 assert (zenon_L1155_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e3) (e3)) = (e1))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((e0) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> False).
% 10.45/10.61 do 0 intro. intros zenon_H200 zenon_H25 zenon_H7d zenon_H80 zenon_H7e zenon_He4 zenon_He3 zenon_Hde zenon_H5e zenon_H35 zenon_H4c zenon_Hf5 zenon_Hcf zenon_H112 zenon_Haf zenon_H44 zenon_Hf8 zenon_Hc8 zenon_Hc7 zenon_H91 zenon_H3c zenon_Hc5 zenon_H23e.
% 10.45/10.61 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.45/10.61 exact (zenon_H25 zenon_H2a).
% 10.45/10.61 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.45/10.61 apply (zenon_L1107_); trivial.
% 10.45/10.61 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.45/10.61 apply (zenon_L129_); trivial.
% 10.45/10.61 exact (zenon_H23e zenon_H43).
% 10.45/10.61 (* end of lemma zenon_L1155_ *)
% 10.45/10.61 assert (zenon_L1156_ : (~((op (e0) (e0)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((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)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((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 (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((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 (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (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 (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e2))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> False).
% 10.45/10.61 do 0 intro. intros zenon_H56 zenon_H177 zenon_H168 zenon_H103 zenon_H108 zenon_H165 zenon_H4c zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H53 zenon_H14d zenon_H145 zenon_H86 zenon_H132 zenon_Hc5 zenon_Hc8 zenon_H3c zenon_H10b zenon_H144 zenon_H12f zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H156 zenon_H204 zenon_H200 zenon_H1f zenon_H64 zenon_Hda zenon_H169 zenon_Hf5 zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_H16b zenon_H16e zenon_Hfd zenon_H4a zenon_H174 zenon_H173 zenon_H95 zenon_Hae zenon_H23e zenon_H44 zenon_Hab zenon_H5e zenon_H203 zenon_H7a zenon_H8c zenon_H3a zenon_H155 zenon_Haf zenon_H35 zenon_H1f8 zenon_H1e6 zenon_H159 zenon_H51 zenon_H6f zenon_Hf8 zenon_H192 zenon_He7 zenon_Hc1 zenon_H191 zenon_He8 zenon_Hb1 zenon_H1dd zenon_H97 zenon_H1f0 zenon_H238 zenon_H28 zenon_H1b4 zenon_He3 zenon_He4 zenon_H80 zenon_H7d zenon_Hec.
% 10.45/10.61 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.45/10.61 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.45/10.61 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.45/10.61 apply (zenon_L56_); trivial.
% 10.45/10.61 apply (zenon_L1148_); trivial.
% 10.45/10.61 apply (zenon_L1119_); trivial.
% 10.45/10.61 apply (zenon_L674_); trivial.
% 10.45/10.61 (* end of lemma zenon_L1156_ *)
% 10.45/10.61 assert (zenon_L1157_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e3) (e0)) = (e0)) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> False).
% 10.45/10.61 do 0 intro. intros zenon_H1c3 zenon_He4 zenon_H15a zenon_H1bc zenon_Hc6 zenon_H3a zenon_Hbc zenon_H1c0.
% 10.45/10.61 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H73 | zenon_intro zenon_H1c4 ].
% 10.45/10.61 apply (zenon_L1094_); trivial.
% 10.45/10.61 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H76 | zenon_intro zenon_H1c5 ].
% 10.45/10.61 apply (zenon_L217_); trivial.
% 10.45/10.61 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hcf | zenon_intro zenon_H74 ].
% 10.45/10.61 apply (zenon_L321_); trivial.
% 10.45/10.61 apply (zenon_L219_); trivial.
% 10.45/10.61 (* end of lemma zenon_L1157_ *)
% 10.45/10.61 assert (zenon_L1158_ : (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((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) (e3)) = (e3))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> ((op (e3) (e0)) = (e0)) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (e1) (e0)) = (op (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 (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) (e1)) = (op (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)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (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))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((e1) = (e3))) -> (((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 (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> False).
% 10.45/10.61 do 0 intro. intros zenon_H1c0 zenon_H1bc zenon_Hc6 zenon_H1c3 zenon_Hf8 zenon_H6f zenon_H51 zenon_H159 zenon_H1e6 zenon_H1f8 zenon_H35 zenon_H15a zenon_Haf zenon_H155 zenon_H3a zenon_H8c zenon_H7d zenon_H80 zenon_H7a zenon_H203 zenon_H5e zenon_Hab zenon_H44 zenon_H23e zenon_Hae zenon_He4 zenon_H95 zenon_H173 zenon_H174 zenon_H4a zenon_Hfd zenon_H16e zenon_H16b zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hf5 zenon_H169 zenon_Hda zenon_H64 zenon_H1f zenon_H200 zenon_H204 zenon_H156 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_H12f zenon_H144 zenon_H10b zenon_H3c zenon_Hc8 zenon_Hc5 zenon_H132 zenon_H86 zenon_H145 zenon_H14d zenon_H53 zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H4c zenon_H165 zenon_H108 zenon_H103 zenon_H168 zenon_H177.
% 10.45/10.61 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.45/10.61 apply (zenon_L1147_); trivial.
% 10.45/10.61 apply (zenon_L1157_); trivial.
% 10.45/10.61 (* end of lemma zenon_L1158_ *)
% 10.45/10.61 assert (zenon_L1159_ : (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e2) (e0)) = (op (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) (e3)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (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 (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (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 (e1) (e3)) = (e1))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (e1) (e0)) = (op (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 (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) (e1)) = (op (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)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (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))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((e1) = (e3))) -> (((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 (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> False).
% 10.45/10.61 do 0 intro. intros zenon_H1c0 zenon_H1bc zenon_H1c3 zenon_H1ea zenon_Hc6 zenon_Hec zenon_H7d zenon_H80 zenon_He4 zenon_He3 zenon_H1b4 zenon_H28 zenon_H238 zenon_H1f0 zenon_H97 zenon_H1dd zenon_H191 zenon_He7 zenon_Hf8 zenon_H6f zenon_H51 zenon_H159 zenon_H1e6 zenon_H1f8 zenon_H35 zenon_H155 zenon_H3a zenon_H8c zenon_H7a zenon_H203 zenon_H5e zenon_Hab zenon_H44 zenon_H23e zenon_Hae zenon_H95 zenon_H173 zenon_H174 zenon_H4a zenon_Hfd zenon_H16e zenon_H16b zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hf5 zenon_H169 zenon_Hda zenon_H64 zenon_H1f zenon_H200 zenon_H204 zenon_H156 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_H12f zenon_H144 zenon_H10b zenon_H3c zenon_Hc8 zenon_Hc5 zenon_H132 zenon_H86 zenon_H145 zenon_H14d zenon_H53 zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H4c zenon_H165 zenon_H108 zenon_H103 zenon_H168 zenon_H177 zenon_H56 zenon_H1af zenon_H1ef.
% 10.45/10.61 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.45/10.61 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.45/10.61 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.45/10.61 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.45/10.61 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.45/10.61 apply (zenon_L1156_); trivial.
% 10.45/10.61 apply (zenon_L321_); trivial.
% 10.45/10.61 exact (zenon_H203 zenon_H9a).
% 10.45/10.61 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.45/10.61 apply (zenon_L1127_); trivial.
% 10.45/10.61 exact (zenon_H203 zenon_H9a).
% 10.45/10.61 apply (zenon_L1128_); trivial.
% 10.45/10.61 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.45/10.61 apply (zenon_L1158_); trivial.
% 10.45/10.61 apply (zenon_L123_); trivial.
% 10.45/10.61 (* end of lemma zenon_L1159_ *)
% 10.45/10.61 assert (zenon_L1160_ : ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((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)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((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 (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((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 (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (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 (e1) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((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)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (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) (e0)) = (op (e2) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (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).
% 10.45/10.61 do 0 intro. intros zenon_H1ef zenon_H1af zenon_H56 zenon_H177 zenon_H168 zenon_H103 zenon_H108 zenon_H165 zenon_H4c zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H53 zenon_H14d zenon_H145 zenon_H86 zenon_H132 zenon_H10b zenon_H144 zenon_H12f zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H156 zenon_H204 zenon_H200 zenon_H1f zenon_H64 zenon_Hda zenon_H169 zenon_Hf5 zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_H16b zenon_H16e zenon_Hfd zenon_H4a zenon_H174 zenon_H173 zenon_H95 zenon_Hae zenon_H23e zenon_H44 zenon_Hab zenon_H5e zenon_H203 zenon_H7a zenon_H8c zenon_H155 zenon_H35 zenon_H1f8 zenon_H1e6 zenon_H159 zenon_H6f zenon_Hf8 zenon_He7 zenon_H191 zenon_H1dd zenon_H97 zenon_H1f0 zenon_H238 zenon_H28 zenon_H1b4 zenon_He3 zenon_He4 zenon_H80 zenon_H7d zenon_Hec zenon_Hc6 zenon_H1ea zenon_H1c3 zenon_H1bc zenon_H1c0 zenon_H3c zenon_H51 zenon_H91 zenon_Hc8 zenon_Hc5.
% 10.45/10.61 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.45/10.61 apply (zenon_L129_); trivial.
% 10.45/10.61 apply (zenon_L1159_); trivial.
% 10.45/10.61 (* end of lemma zenon_L1160_ *)
% 10.45/10.61 assert (zenon_L1161_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e3)) = (op (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 (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((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 (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e0) = (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) (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 (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.45/10.62 do 0 intro. intros zenon_H177 zenon_H168 zenon_H103 zenon_H35 zenon_H159 zenon_H108 zenon_H165 zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H14d zenon_H145 zenon_H86 zenon_H132 zenon_Hc5 zenon_Hc8 zenon_H3c zenon_H144 zenon_H12f zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H204 zenon_H200 zenon_H1f zenon_H7a zenon_H64 zenon_Hda zenon_H169 zenon_Hf5 zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_H16b zenon_H16e zenon_Hfd zenon_H23e zenon_H4a zenon_H174 zenon_H173 zenon_H95 zenon_H44 zenon_Hec zenon_H7d zenon_H80 zenon_He4 zenon_He3 zenon_H97 zenon_H1c0 zenon_Hd3 zenon_Hb1 zenon_Hab zenon_H5e zenon_H203 zenon_H4c zenon_Hb0 zenon_H10b zenon_H68 zenon_H53 zenon_H28 zenon_Hf8.
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.45/10.62 apply (zenon_L1104_); trivial.
% 10.45/10.62 apply (zenon_L1119_); trivial.
% 10.45/10.62 (* end of lemma zenon_L1161_ *)
% 10.45/10.62 assert (zenon_L1162_ : (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (((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) (e3)) = (e0))) -> (~((op (e0) (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) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((op (e1) (e3)) = (e1))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e2) (e2)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e2) (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 (e3) (e1)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (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 (e1) (e0)) = (op (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 (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) (e1)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((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)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (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))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((e1) = (e3))) -> (((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 (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> False).
% 10.45/10.62 do 0 intro. intros zenon_H1bc zenon_Hc6 zenon_H1c3 zenon_H200 zenon_Hae zenon_H23e zenon_H7a zenon_H80 zenon_H7d zenon_H8c zenon_H155 zenon_Haf zenon_H15a zenon_H1f8 zenon_H1e6 zenon_H159 zenon_H6f zenon_Hf8 zenon_H27 zenon_H44 zenon_H3c zenon_H3a zenon_Hb0 zenon_H35 zenon_H203 zenon_H5e zenon_Hab zenon_Hb1 zenon_Hd3 zenon_He4 zenon_H1c0 zenon_H42 zenon_H25 zenon_Hec zenon_H95 zenon_H173 zenon_H174 zenon_H4a zenon_Hfd zenon_H16e zenon_H16b zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hf5 zenon_H169 zenon_Hda zenon_H64 zenon_H1f zenon_H204 zenon_H156 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_H12f zenon_H144 zenon_H10b zenon_Hc8 zenon_Hc5 zenon_H132 zenon_H86 zenon_H145 zenon_H14d zenon_H53 zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H4c zenon_H165 zenon_H108 zenon_H103 zenon_H168 zenon_H177.
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.45/10.62 exact (zenon_H25 zenon_H2a).
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.45/10.62 apply (zenon_L1097_); trivial.
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.45/10.62 apply (zenon_L1146_); trivial.
% 10.45/10.62 exact (zenon_H23e zenon_H43).
% 10.45/10.62 apply (zenon_L1119_); trivial.
% 10.45/10.62 apply (zenon_L1157_); trivial.
% 10.45/10.62 (* end of lemma zenon_L1162_ *)
% 10.45/10.62 assert (zenon_L1163_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (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 (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (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)) = (e0))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (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 (e1) (e0)) = (op (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 (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) (e1)) = (op (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)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((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)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (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))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((e1) = (e3))) -> (((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 (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (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 (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((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 (e0) (e2)) = (e0))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 10.45/10.62 do 0 intro. intros zenon_Hde zenon_H195 zenon_H216 zenon_H1ef zenon_H1af zenon_H42 zenon_H1c0 zenon_Hd3 zenon_Hab zenon_H5e zenon_H203 zenon_H35 zenon_Hb0 zenon_H3c zenon_H44 zenon_H1b4 zenon_H238 zenon_H1f0 zenon_H97 zenon_H1dd zenon_H191 zenon_He7 zenon_Hf8 zenon_H6f zenon_H159 zenon_H1e6 zenon_H1f8 zenon_H155 zenon_H8c zenon_H7a zenon_H23e zenon_Hae zenon_H95 zenon_H173 zenon_H174 zenon_H4a zenon_Hfd zenon_H16e zenon_H16b zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hf5 zenon_H169 zenon_Hda zenon_H64 zenon_H1f zenon_H200 zenon_H204 zenon_H156 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_H12f zenon_H144 zenon_H10b zenon_Hc8 zenon_Hc5 zenon_H132 zenon_H86 zenon_H145 zenon_H14d zenon_H53 zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H4c zenon_H165 zenon_H108 zenon_H103 zenon_H168 zenon_H177 zenon_He3 zenon_He4 zenon_H7d zenon_Hec zenon_Hc6 zenon_H1ea zenon_H1bc zenon_H1c3 zenon_H67 zenon_H80.
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.45/10.62 apply (zenon_L111_); trivial.
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.45/10.62 apply (zenon_L1144_); trivial.
% 10.45/10.62 apply (zenon_L1152_); trivial.
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.45/10.62 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.45/10.62 apply (zenon_L56_); trivial.
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.45/10.62 exact (zenon_H25 zenon_H2a).
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.45/10.62 apply (zenon_L1103_); trivial.
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.45/10.62 apply (zenon_L1154_); trivial.
% 10.45/10.62 exact (zenon_H23e zenon_H43).
% 10.45/10.62 apply (zenon_L1119_); trivial.
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.45/10.62 apply (zenon_L1155_); trivial.
% 10.45/10.62 apply (zenon_L1119_); trivial.
% 10.45/10.62 apply (zenon_L1152_); trivial.
% 10.45/10.62 apply (zenon_L79_); trivial.
% 10.45/10.62 apply (zenon_L149_); trivial.
% 10.45/10.62 apply (zenon_L325_); trivial.
% 10.45/10.62 exact (zenon_H23e zenon_H43).
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.45/10.62 apply (zenon_L1160_); trivial.
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.45/10.62 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.45/10.62 apply (zenon_L56_); trivial.
% 10.45/10.62 apply (zenon_L1154_); trivial.
% 10.45/10.62 apply (zenon_L1119_); trivial.
% 10.45/10.62 apply (zenon_L325_); trivial.
% 10.45/10.62 exact (zenon_H23e zenon_H43).
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.45/10.62 apply (zenon_L1161_); trivial.
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.45/10.62 apply (zenon_L1155_); trivial.
% 10.45/10.62 apply (zenon_L81_); trivial.
% 10.45/10.62 apply (zenon_L1098_); trivial.
% 10.45/10.62 apply (zenon_L79_); trivial.
% 10.45/10.62 apply (zenon_L149_); trivial.
% 10.45/10.62 exact (zenon_H23e zenon_H43).
% 10.45/10.62 apply (zenon_L69_); trivial.
% 10.45/10.62 apply (zenon_L111_); trivial.
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.45/10.62 apply (zenon_L1152_); trivial.
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.45/10.62 apply (zenon_L1162_); trivial.
% 10.45/10.62 apply (zenon_L321_); trivial.
% 10.45/10.62 apply (zenon_L123_); trivial.
% 10.45/10.62 exact (zenon_H23e zenon_H43).
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.45/10.62 apply (zenon_L1159_); trivial.
% 10.45/10.62 exact (zenon_H23e zenon_H43).
% 10.45/10.62 apply (zenon_L1099_); trivial.
% 10.45/10.62 apply (zenon_L111_); trivial.
% 10.45/10.62 exact (zenon_H80 zenon_H84).
% 10.45/10.62 (* end of lemma zenon_L1163_ *)
% 10.45/10.62 assert (zenon_L1164_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (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 (e1) (e0)) = (op (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 (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 (e3) (e3)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((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)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (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))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((e1) = (e3))) -> (((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 (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> False).
% 10.45/10.62 do 0 intro. intros zenon_Hd2 zenon_H127 zenon_Hf8 zenon_H25 zenon_H42 zenon_H1c0 zenon_Hd3 zenon_Hb1 zenon_Hab zenon_H5e zenon_H203 zenon_H35 zenon_Hb0 zenon_H3a zenon_H3c zenon_H44 zenon_H27 zenon_H1f8 zenon_H1e6 zenon_H155 zenon_H1d zenon_H16e zenon_H6f zenon_H23e zenon_H200 zenon_He3 zenon_He4 zenon_H80 zenon_H7d zenon_Hec zenon_H95 zenon_H173 zenon_H174 zenon_H4a zenon_Hfd zenon_H16b zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hf5 zenon_H169 zenon_Hda zenon_H64 zenon_H7a zenon_H1f zenon_H204 zenon_H156 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_H12f zenon_H144 zenon_H10b zenon_Hc5 zenon_H132 zenon_H86 zenon_H145 zenon_H14d zenon_H53 zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H4c zenon_H165 zenon_H108 zenon_H159 zenon_H103 zenon_H168 zenon_H177.
% 10.45/10.62 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.45/10.62 apply (zenon_L1151_); trivial.
% 10.45/10.62 exact (zenon_H127 zenon_Hd0).
% 10.45/10.62 (* end of lemma zenon_L1164_ *)
% 10.45/10.62 assert (zenon_L1165_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e3)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (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) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e3)) = (e0))) -> False).
% 10.45/10.62 do 0 intro. intros zenon_H200 zenon_H25 zenon_H114 zenon_Hbd zenon_H112 zenon_Hcf zenon_H110 zenon_H1d zenon_Hd3 zenon_H118 zenon_Hc5 zenon_Hc7 zenon_H91 zenon_H3c zenon_H127 zenon_Hd2 zenon_H23e.
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.45/10.62 exact (zenon_H25 zenon_H2a).
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.45/10.62 apply (zenon_L81_); trivial.
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.45/10.62 apply (zenon_L1088_); trivial.
% 10.45/10.62 exact (zenon_H23e zenon_H43).
% 10.45/10.62 (* end of lemma zenon_L1165_ *)
% 10.45/10.62 assert (zenon_L1166_ : ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> False).
% 10.45/10.62 do 0 intro. intros zenon_H157 zenon_H151 zenon_H25 zenon_H118 zenon_H114 zenon_H1d zenon_H110 zenon_Hd3 zenon_Hd2 zenon_H127 zenon_H3c zenon_Hc5 zenon_H23e zenon_H200 zenon_H7d zenon_H80 zenon_He4 zenon_He3 zenon_Hde zenon_H5e zenon_H35 zenon_H4c zenon_Hf5 zenon_Hcf zenon_H112 zenon_Haf zenon_H68 zenon_H44 zenon_Hf8 zenon_Hc6 zenon_H158.
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.45/10.62 apply (zenon_L1107_); trivial.
% 10.45/10.62 apply (zenon_L1165_); trivial.
% 10.45/10.62 apply (zenon_L321_); trivial.
% 10.45/10.62 apply (zenon_L79_); trivial.
% 10.45/10.62 (* end of lemma zenon_L1166_ *)
% 10.45/10.62 assert (zenon_L1167_ : (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e0) (e0)) = (e0))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((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 (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e3)) = (op (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 (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((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 (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e0) = (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) (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 (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> (~((e1) = (e3))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (~((e0) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> False).
% 10.45/10.62 do 0 intro. intros zenon_Hc6 zenon_Hde zenon_H1d zenon_H25 zenon_H177 zenon_H168 zenon_H103 zenon_H35 zenon_H159 zenon_H108 zenon_H165 zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H14d zenon_H145 zenon_H86 zenon_H132 zenon_Hc5 zenon_H3c zenon_H144 zenon_H12f zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H204 zenon_H200 zenon_H1f zenon_H7a zenon_H64 zenon_Hda zenon_H169 zenon_Hf5 zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_H16b zenon_H16e zenon_Hfd zenon_H23e zenon_H4a zenon_H174 zenon_H173 zenon_H95 zenon_H44 zenon_Hec zenon_H7d zenon_H80 zenon_He4 zenon_He3 zenon_H97 zenon_H1c0 zenon_Hd3 zenon_Hab zenon_H5e zenon_H203 zenon_H4c zenon_Hb0 zenon_H10b zenon_H68 zenon_H53 zenon_Hf8 zenon_H127 zenon_Hd2 zenon_H1ea.
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.45/10.62 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.45/10.62 apply (zenon_L1161_); trivial.
% 10.45/10.62 exact (zenon_H127 zenon_Hd0).
% 10.45/10.62 apply (zenon_L1166_); trivial.
% 10.45/10.62 apply (zenon_L149_); trivial.
% 10.45/10.62 exact (zenon_H23e zenon_H43).
% 10.45/10.62 (* end of lemma zenon_L1167_ *)
% 10.45/10.62 assert (zenon_L1168_ : (((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 (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((e0) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (~((op (e1) (e3)) = (e1))) -> (~((e0) = (e1))) -> (((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 (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) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (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 (e1) (e0)) = (op (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 (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 (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 (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (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)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e0))) -> ((op (e1) (e1)) = (e1)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e2) (e1)) = (e2)) -> (~((e0) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((op (e3) (e0)) = (e0)) -> False).
% 10.45/10.62 do 0 intro. intros zenon_He7 zenon_H1ea zenon_Hd2 zenon_H127 zenon_Hf8 zenon_H53 zenon_H10b zenon_Hb0 zenon_H4c zenon_H203 zenon_H5e zenon_Hab zenon_Hd3 zenon_H1c0 zenon_H97 zenon_He3 zenon_H80 zenon_H7d zenon_Hec zenon_H95 zenon_H173 zenon_H174 zenon_H4a zenon_H23e zenon_Hfd zenon_H16e zenon_H16b zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hf5 zenon_H169 zenon_Hda zenon_H64 zenon_H7a zenon_H1f zenon_H200 zenon_H204 zenon_H156 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_H12f zenon_H144 zenon_H3c zenon_Hc5 zenon_H132 zenon_H86 zenon_H145 zenon_H14d zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H165 zenon_H108 zenon_H159 zenon_H35 zenon_H103 zenon_H168 zenon_H177 zenon_H25 zenon_H1d zenon_Hde zenon_Hc6 zenon_He8 zenon_Hb8 zenon_H44 zenon_Hbb zenon_He4.
% 10.45/10.62 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H68 | zenon_intro zenon_He9 ].
% 10.45/10.62 apply (zenon_L1167_); trivial.
% 10.45/10.62 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Heb | zenon_intro zenon_Hea ].
% 10.45/10.62 exact (zenon_He8 zenon_Heb).
% 10.45/10.62 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H78 | zenon_intro zenon_He5 ].
% 10.45/10.62 apply (zenon_L57_); trivial.
% 10.45/10.62 apply (zenon_L58_); trivial.
% 10.45/10.62 (* end of lemma zenon_L1168_ *)
% 10.45/10.62 assert (zenon_L1169_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (~((e1) = (e3))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (e2))) -> (~((e0) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> False).
% 10.45/10.62 do 0 intro. intros zenon_H200 zenon_H23e zenon_H3c zenon_H91 zenon_Hc7 zenon_Hc5 zenon_H7d zenon_H80 zenon_He4 zenon_He3 zenon_Hde zenon_H5e zenon_H35 zenon_H4c zenon_Hf5 zenon_Hcf zenon_H112 zenon_Haf zenon_H44 zenon_Hf8 zenon_H25 zenon_H127 zenon_Hd2 zenon_Hd3 zenon_H110 zenon_H1d zenon_H114 zenon_H118 zenon_H151.
% 10.45/10.62 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.45/10.62 apply (zenon_L1155_); trivial.
% 10.45/10.62 apply (zenon_L1165_); trivial.
% 10.45/10.62 exact (zenon_H127 zenon_Hd0).
% 10.45/10.62 (* end of lemma zenon_L1169_ *)
% 10.45/10.62 assert (zenon_L1170_ : (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> (~((e1) = (e2))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (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 (e3) (e0)) = (op (e3) (e2)))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (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)) = (e0))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (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 (e1) (e0)) = (op (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 (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) (e1)) = (op (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)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((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)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (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))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((e1) = (e3))) -> (((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 (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (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) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> False).
% 10.45/10.62 do 0 intro. intros zenon_H1bc zenon_H1c3 zenon_H1ea zenon_Hc6 zenon_H25 zenon_H42 zenon_H1c0 zenon_Hd3 zenon_Hab zenon_H5e zenon_H203 zenon_H35 zenon_Hb0 zenon_H3a zenon_H3c zenon_H44 zenon_H27 zenon_H1b4 zenon_H28 zenon_H238 zenon_H1f0 zenon_H97 zenon_H1dd zenon_H191 zenon_He7 zenon_Hf8 zenon_H6f zenon_H159 zenon_H1e6 zenon_H1f8 zenon_H155 zenon_H8c zenon_H7a zenon_H23e zenon_Hae zenon_H95 zenon_H173 zenon_H174 zenon_H4a zenon_Hfd zenon_H16e zenon_H16b zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hf5 zenon_H169 zenon_Hda zenon_H64 zenon_H1f zenon_H200 zenon_H204 zenon_H156 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_H12f zenon_H144 zenon_H10b zenon_Hc5 zenon_H132 zenon_H86 zenon_H145 zenon_H14d zenon_H53 zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H4c zenon_H165 zenon_H108 zenon_H103 zenon_H168 zenon_H177 zenon_H56 zenon_He3 zenon_He4 zenon_H80 zenon_H7d zenon_Hec zenon_H127 zenon_Hd2 zenon_H1af zenon_H1ef.
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.45/10.62 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.45/10.62 apply (zenon_L1149_); trivial.
% 10.45/10.62 exact (zenon_H127 zenon_Hd0).
% 10.45/10.62 apply (zenon_L321_); trivial.
% 10.45/10.62 exact (zenon_H203 zenon_H9a).
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.45/10.62 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.45/10.62 apply (zenon_L1150_); trivial.
% 10.45/10.62 exact (zenon_H127 zenon_Hd0).
% 10.45/10.62 apply (zenon_L321_); trivial.
% 10.45/10.62 exact (zenon_H203 zenon_H9a).
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.45/10.62 apply (zenon_L1164_); trivial.
% 10.45/10.62 apply (zenon_L321_); trivial.
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.45/10.62 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.45/10.62 apply (zenon_L1162_); trivial.
% 10.45/10.62 exact (zenon_H127 zenon_Hd0).
% 10.45/10.62 apply (zenon_L321_); trivial.
% 10.45/10.62 apply (zenon_L123_); trivial.
% 10.45/10.62 (* end of lemma zenon_L1170_ *)
% 10.45/10.62 assert (zenon_L1171_ : ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e3)) = (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) (e3)) = (e3))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (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 (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (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 (e1) (e3)) = (e1))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e2))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e2) = (e3))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (e1) (e0)) = (op (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 (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) (e1)) = (op (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)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e1) (e3)) = (op (e3) (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))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((e1) = (e3))) -> (((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 (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> False).
% 10.45/10.62 do 0 intro. intros zenon_H1ef zenon_H1af zenon_Hd2 zenon_H127 zenon_Hec zenon_H7d zenon_H80 zenon_He4 zenon_He3 zenon_H1b4 zenon_H28 zenon_H238 zenon_H1f0 zenon_H97 zenon_H1dd zenon_He8 zenon_H191 zenon_He7 zenon_Hf8 zenon_H6f zenon_H51 zenon_H159 zenon_H1e6 zenon_H1f8 zenon_H35 zenon_H155 zenon_H3a zenon_H8c zenon_H7a zenon_H203 zenon_H5e zenon_Hab zenon_H44 zenon_H23e zenon_Hae zenon_H95 zenon_H173 zenon_H174 zenon_H4a zenon_Hfd zenon_H16e zenon_H16b zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hf5 zenon_H169 zenon_Hda zenon_H64 zenon_H1f zenon_H200 zenon_H204 zenon_H156 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_H12f zenon_H144 zenon_H10b zenon_H3c zenon_Hc5 zenon_H132 zenon_H86 zenon_H145 zenon_H14d zenon_H53 zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H4c zenon_H165 zenon_H108 zenon_H103 zenon_H168 zenon_H177 zenon_H56 zenon_Hc6 zenon_H1ea.
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.45/10.62 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.45/10.62 apply (zenon_L1156_); trivial.
% 10.45/10.62 exact (zenon_H127 zenon_Hd0).
% 10.45/10.62 apply (zenon_L321_); trivial.
% 10.45/10.62 exact (zenon_H203 zenon_H9a).
% 10.45/10.62 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.45/10.62 apply (zenon_L1137_); trivial.
% 10.45/10.62 exact (zenon_H203 zenon_H9a).
% 10.45/10.62 apply (zenon_L1138_); trivial.
% 10.45/10.62 (* end of lemma zenon_L1171_ *)
% 10.45/10.62 assert (zenon_L1172_ : ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((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)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((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 (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((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 (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (e0))) -> (~((e0) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (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 (e1) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> ((op (e3) (e0)) = (e0)) -> (~((op (e3) (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 (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> False).
% 10.45/10.63 do 0 intro. intros zenon_H1ea zenon_Hc6 zenon_H56 zenon_H177 zenon_H168 zenon_H103 zenon_H108 zenon_H165 zenon_H4c zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H53 zenon_H14d zenon_H145 zenon_H86 zenon_H132 zenon_H10b zenon_H144 zenon_H12f zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H156 zenon_H204 zenon_H200 zenon_H1f zenon_H64 zenon_Hda zenon_H169 zenon_Hf5 zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_H16b zenon_H16e zenon_Hfd zenon_H4a zenon_H174 zenon_H173 zenon_H95 zenon_Hae zenon_H23e zenon_H44 zenon_Hab zenon_H5e zenon_H203 zenon_H7a zenon_H8c zenon_H155 zenon_H35 zenon_H1f8 zenon_H1e6 zenon_H159 zenon_H6f zenon_Hf8 zenon_He7 zenon_H191 zenon_He8 zenon_H1dd zenon_H97 zenon_H1f0 zenon_H238 zenon_H28 zenon_H1b4 zenon_He3 zenon_He4 zenon_H80 zenon_H7d zenon_Hec zenon_H1af zenon_H1ef zenon_Hc5 zenon_H91 zenon_H51 zenon_H3c zenon_H127 zenon_Hd2.
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.45/10.63 apply (zenon_L1088_); trivial.
% 10.45/10.63 apply (zenon_L1171_); trivial.
% 10.45/10.63 (* end of lemma zenon_L1172_ *)
% 10.45/10.63 assert (zenon_L1173_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e0)) = (op (e1) (e1)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e3)) = (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) (e0)) = (e0)) -> (~((op (e3) (e0)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((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)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> (~((e1) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((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 (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((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 (e1) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((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 (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((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)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (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))))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e2) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((op (e1) (e3)) = (e1))) -> (~((e0) = (e1))) -> (((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 (e3) (e0)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (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) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 10.45/10.63 do 0 intro. intros zenon_Hde zenon_H195 zenon_H216 zenon_H1ef zenon_H1af zenon_Hd2 zenon_H127 zenon_Hec zenon_H7d zenon_He4 zenon_He3 zenon_H177 zenon_H168 zenon_H103 zenon_H108 zenon_H165 zenon_H4c zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H53 zenon_H14d zenon_H145 zenon_H86 zenon_H132 zenon_Hc5 zenon_H10b zenon_H144 zenon_H12f zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H156 zenon_H204 zenon_H200 zenon_H1f zenon_H64 zenon_Hda zenon_H169 zenon_Hf5 zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_H16b zenon_H16e zenon_Hfd zenon_H4a zenon_H174 zenon_H173 zenon_H95 zenon_Hae zenon_H23e zenon_H7a zenon_H8c zenon_H155 zenon_H1f8 zenon_H1e6 zenon_H159 zenon_H6f zenon_Hf8 zenon_He7 zenon_H191 zenon_H1dd zenon_H97 zenon_H1f0 zenon_H238 zenon_H1b4 zenon_H44 zenon_H3c zenon_Hb0 zenon_H35 zenon_H203 zenon_H5e zenon_Hab zenon_Hd3 zenon_H1c0 zenon_H42 zenon_Hc6 zenon_H1ea zenon_H1c3 zenon_H1bc zenon_H67 zenon_H80.
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.45/10.63 apply (zenon_L111_); trivial.
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.45/10.63 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.45/10.63 apply (zenon_L1144_); trivial.
% 10.45/10.63 exact (zenon_H127 zenon_Hd0).
% 10.45/10.63 apply (zenon_L1164_); trivial.
% 10.45/10.63 apply (zenon_L1168_); trivial.
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.45/10.63 apply (zenon_L1169_); trivial.
% 10.45/10.63 apply (zenon_L1170_); trivial.
% 10.45/10.63 apply (zenon_L79_); trivial.
% 10.45/10.63 apply (zenon_L149_); trivial.
% 10.45/10.63 apply (zenon_L325_); trivial.
% 10.45/10.63 exact (zenon_H23e zenon_H43).
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.45/10.63 apply (zenon_L1172_); trivial.
% 10.45/10.63 apply (zenon_L1168_); trivial.
% 10.45/10.63 apply (zenon_L325_); trivial.
% 10.45/10.63 exact (zenon_H23e zenon_H43).
% 10.45/10.63 apply (zenon_L1167_); trivial.
% 10.45/10.63 apply (zenon_L111_); trivial.
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.45/10.63 apply (zenon_L1170_); trivial.
% 10.45/10.63 exact (zenon_H23e zenon_H43).
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.45/10.63 apply (zenon_L1171_); trivial.
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.45/10.63 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.45/10.63 apply (zenon_L1158_); trivial.
% 10.45/10.63 exact (zenon_H127 zenon_Hd0).
% 10.45/10.63 apply (zenon_L123_); trivial.
% 10.45/10.63 exact (zenon_H23e zenon_H43).
% 10.45/10.63 apply (zenon_L1099_); trivial.
% 10.45/10.63 apply (zenon_L111_); trivial.
% 10.45/10.63 exact (zenon_H80 zenon_H84).
% 10.45/10.63 (* end of lemma zenon_L1173_ *)
% 10.45/10.63 assert (zenon_L1174_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (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 (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e3) (e1)) = (e1)) -> False).
% 10.45/10.63 do 0 intro. intros zenon_He7 zenon_H2a zenon_H26 zenon_H35 zenon_H44 zenon_H4b zenon_H191 zenon_He8 zenon_H192 zenon_H1f zenon_Hc1 zenon_Hde zenon_H5e zenon_Hf2.
% 10.45/10.63 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H68 | zenon_intro zenon_He9 ].
% 10.45/10.63 apply (zenon_L937_); trivial.
% 10.45/10.63 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Heb | zenon_intro zenon_Hea ].
% 10.45/10.63 exact (zenon_He8 zenon_Heb).
% 10.45/10.63 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H78 | zenon_intro zenon_He5 ].
% 10.45/10.63 apply (zenon_L765_); trivial.
% 10.45/10.63 apply (zenon_L206_); trivial.
% 10.45/10.63 (* end of lemma zenon_L1174_ *)
% 10.45/10.63 assert (zenon_L1175_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e3) (e1)) = (e1)) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (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))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False).
% 10.45/10.63 do 0 intro. intros zenon_H97 zenon_H28 zenon_Hf2 zenon_H5e zenon_Hde zenon_Hc1 zenon_H1f zenon_H192 zenon_He8 zenon_H191 zenon_H44 zenon_H35 zenon_H26 zenon_H2a zenon_He7 zenon_H10b zenon_Hed zenon_H62 zenon_H4c.
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H31 | zenon_intro zenon_H98 ].
% 10.45/10.63 exact (zenon_H28 zenon_H31).
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ].
% 10.45/10.63 apply (zenon_L1174_); trivial.
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H52 | zenon_intro zenon_H57 ].
% 10.45/10.63 apply (zenon_L75_); trivial.
% 10.45/10.63 apply (zenon_L13_); trivial.
% 10.45/10.63 (* end of lemma zenon_L1175_ *)
% 10.45/10.63 assert (zenon_L1176_ : (((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 (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e3) (e1)) = (e1)) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (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))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> False).
% 10.45/10.63 do 0 intro. intros zenon_H64 zenon_H56 zenon_H1f0 zenon_H6f zenon_H100 zenon_H97 zenon_H28 zenon_Hf2 zenon_H5e zenon_Hde zenon_Hc1 zenon_H1f zenon_H192 zenon_He8 zenon_H191 zenon_H44 zenon_H35 zenon_H26 zenon_H2a zenon_He7 zenon_H10b zenon_Hed zenon_H4c.
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.45/10.63 exact (zenon_H56 zenon_H2c).
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.45/10.63 apply (zenon_L327_); trivial.
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.45/10.63 apply (zenon_L228_); trivial.
% 10.45/10.63 apply (zenon_L1175_); trivial.
% 10.45/10.63 (* end of lemma zenon_L1176_ *)
% 10.45/10.63 assert (zenon_L1177_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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 (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.45/10.63 do 0 intro. intros zenon_H151 zenon_H145 zenon_H86 zenon_H80 zenon_H7d zenon_H100 zenon_H5e zenon_He8 zenon_H2a zenon_H12f zenon_H64 zenon_H28 zenon_He7 zenon_H191 zenon_Hc1 zenon_H1f zenon_H192 zenon_H44 zenon_H35 zenon_Hde zenon_H26 zenon_H10b zenon_H4c zenon_H97 zenon_H6f zenon_Hf2 zenon_H1f0 zenon_H56 zenon_Hf8.
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.45/10.63 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.45/10.63 apply (zenon_L225_); trivial.
% 10.45/10.63 apply (zenon_L1176_); trivial.
% 10.45/10.63 apply (zenon_L207_); trivial.
% 10.45/10.63 (* end of lemma zenon_L1177_ *)
% 10.45/10.63 assert (zenon_L1178_ : ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> ((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)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> False).
% 10.45/10.63 do 0 intro. intros zenon_H1ef zenon_H169 zenon_He7 zenon_H5e zenon_H44 zenon_H35 zenon_Hf2 zenon_Hde zenon_He8 zenon_H1f zenon_Hc1 zenon_H191 zenon_H151 zenon_H145 zenon_H86 zenon_H80 zenon_H7d zenon_H2a zenon_H12f zenon_H64 zenon_H28 zenon_H26 zenon_H10b zenon_H4c zenon_H97 zenon_H6f zenon_H1f0 zenon_H56 zenon_Hf8 zenon_H1ea.
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.45/10.63 apply (zenon_L1052_); trivial.
% 10.45/10.63 apply (zenon_L1177_); trivial.
% 10.45/10.63 apply (zenon_L140_); trivial.
% 10.45/10.63 (* end of lemma zenon_L1178_ *)
% 10.45/10.63 assert (zenon_L1179_ : (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e3) (e0)) = (e3)) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> False).
% 10.45/10.63 do 0 intro. intros zenon_H1c3 zenon_H2a zenon_H1ba zenon_H15a zenon_H1bc zenon_Hc6 zenon_H3a zenon_Hbc zenon_H1c0.
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H73 | zenon_intro zenon_H1c4 ].
% 10.45/10.63 apply (zenon_L216_); trivial.
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H76 | zenon_intro zenon_H1c5 ].
% 10.45/10.63 apply (zenon_L217_); trivial.
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_Hcf | zenon_intro zenon_H74 ].
% 10.45/10.63 apply (zenon_L321_); trivial.
% 10.45/10.63 apply (zenon_L219_); trivial.
% 10.45/10.63 (* end of lemma zenon_L1179_ *)
% 10.45/10.63 assert (zenon_L1180_ : ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (~((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 (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e1)) = (e1)) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> False).
% 10.45/10.63 do 0 intro. intros zenon_H150 zenon_H1ba zenon_H2a zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H27 zenon_H35 zenon_H15a zenon_Hc6 zenon_H3a zenon_H14d zenon_H95 zenon_H4c zenon_H53 zenon_H80 zenon_H16b zenon_Hf2 zenon_H5e zenon_H44 zenon_Hdd.
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.45/10.63 apply (zenon_L1055_); trivial.
% 10.45/10.63 apply (zenon_L1179_); trivial.
% 10.45/10.63 (* end of lemma zenon_L1180_ *)
% 10.45/10.63 assert (zenon_L1181_ : ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (e3) (e3)) = (e3))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((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)) = (op (e2) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (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)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> False).
% 10.45/10.63 do 0 intro. intros zenon_H168 zenon_Hdd zenon_H16b zenon_H80 zenon_H53 zenon_H14d zenon_Hc6 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H150 zenon_H64 zenon_H27 zenon_H191 zenon_Hc1 zenon_H1f zenon_H3c zenon_H3a zenon_H97 zenon_H95 zenon_H4c zenon_H26 zenon_H2a zenon_Hde zenon_H35 zenon_H44 zenon_H5e zenon_He7 zenon_H28 zenon_H42 zenon_Hf2 zenon_H1f0 zenon_H56 zenon_H169 zenon_H1ef.
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.45/10.63 exact (zenon_H56 zenon_H2c).
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.45/10.63 apply (zenon_L327_); trivial.
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 10.45/10.63 exact (zenon_H27 zenon_H32).
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 10.45/10.63 apply (zenon_L331_); trivial.
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 10.45/10.63 apply (zenon_L5_); trivial.
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H31 | zenon_intro zenon_H98 ].
% 10.45/10.63 exact (zenon_H28 zenon_H31).
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ].
% 10.45/10.63 apply (zenon_L1174_); trivial.
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H52 | zenon_intro zenon_H57 ].
% 10.45/10.63 apply (zenon_L130_); trivial.
% 10.45/10.63 apply (zenon_L54_); trivial.
% 10.45/10.63 apply (zenon_L610_); trivial.
% 10.45/10.63 apply (zenon_L140_); trivial.
% 10.45/10.63 apply (zenon_L1180_); trivial.
% 10.45/10.63 (* end of lemma zenon_L1181_ *)
% 10.45/10.63 assert (zenon_L1182_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (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))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (e2))) -> (~((e1) = (e2))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e2) (e1)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((op (e3) (e1)) = (e1)) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> False).
% 10.45/10.63 do 0 intro. intros zenon_H177 zenon_H173 zenon_H16e zenon_H64 zenon_Hf5 zenon_H7a zenon_H169 zenon_H1f zenon_Hda zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_H28 zenon_Hfd zenon_H174 zenon_H156 zenon_H155 zenon_H157 zenon_H150 zenon_Hbb zenon_Hf8 zenon_H12f zenon_H144 zenon_H10b zenon_H3c zenon_Hc8 zenon_Hc5 zenon_H132 zenon_H7d zenon_H86 zenon_H145 zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H165 zenon_H108 zenon_H159 zenon_H103 zenon_H168 zenon_H23d zenon_H1dd zenon_H27 zenon_H35 zenon_H15a zenon_H112 zenon_Hb8 zenon_H14d zenon_H95 zenon_H4c zenon_H53 zenon_H80 zenon_H16b zenon_Hf2 zenon_H5e zenon_H44 zenon_Hdd.
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.45/10.63 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hdf ].
% 10.45/10.63 exact (zenon_H27 zenon_H32).
% 10.45/10.63 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H6a | zenon_intro zenon_He0 ].
% 10.45/10.63 apply (zenon_L238_); trivial.
% 10.45/10.63 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd8 ].
% 10.45/10.63 apply (zenon_L79_); trivial.
% 10.45/10.63 apply (zenon_L209_); trivial.
% 10.45/10.63 apply (zenon_L1058_); trivial.
% 10.45/10.63 (* end of lemma zenon_L1182_ *)
% 10.45/10.63 assert (zenon_L1183_ : (((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) (e2)))) -> (~((e2) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((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))))) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e1)) -> (~((e0) = (e1))) -> ((op (e3) (e2)) = (e3)) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 10.45/10.63 do 0 intro. intros zenon_Hdd zenon_H27 zenon_H35 zenon_H1dd zenon_H95 zenon_H15a zenon_H4c zenon_H28 zenon_Hda zenon_H14d zenon_H44 zenon_Hf2 zenon_H5e zenon_Hed zenon_H53 zenon_H8d.
% 10.45/10.63 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hdf ].
% 10.45/10.63 exact (zenon_H27 zenon_H32).
% 10.45/10.63 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H6a | zenon_intro zenon_He0 ].
% 10.45/10.63 apply (zenon_L238_); trivial.
% 10.45/10.63 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd8 ].
% 10.45/10.63 apply (zenon_L306_); trivial.
% 10.45/10.63 apply (zenon_L792_); trivial.
% 10.45/10.63 (* end of lemma zenon_L1183_ *)
% 10.45/10.63 assert (zenon_L1184_ : (~((e1) = (e2))) -> ((op (e3) (e1)) = (e1)) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> (((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 (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (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 (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (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 (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e2) (e0)) = (e2)) -> (~((e2) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (e2))) -> False).
% 10.45/10.63 do 0 intro. intros zenon_H35 zenon_Hf2 zenon_H23d zenon_H168 zenon_H103 zenon_H159 zenon_H108 zenon_H165 zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H53 zenon_H44 zenon_H14d zenon_H145 zenon_H86 zenon_H7d zenon_H132 zenon_Hc5 zenon_Hc8 zenon_H3c zenon_H10b zenon_H144 zenon_H12f zenon_Hf8 zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H174 zenon_Hfd zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hda zenon_H16b zenon_H1f zenon_H5e zenon_H169 zenon_H7a zenon_Hf5 zenon_H64 zenon_H16e zenon_H173 zenon_H177 zenon_Hcf zenon_H95 zenon_H15a zenon_H4c zenon_H28 zenon_Hdd zenon_H1dd zenon_H27.
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.45/10.63 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.45/10.63 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdb ].
% 10.45/10.63 exact (zenon_H28 zenon_H31).
% 10.45/10.63 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H6c | zenon_intro zenon_Hdc ].
% 10.45/10.63 apply (zenon_L236_); trivial.
% 10.45/10.63 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H74 | zenon_intro zenon_Hbc ].
% 10.45/10.63 apply (zenon_L155_); trivial.
% 10.45/10.63 apply (zenon_L1057_); trivial.
% 10.45/10.63 apply (zenon_L1183_); trivial.
% 10.45/10.63 apply (zenon_L1058_); trivial.
% 10.45/10.63 (* end of lemma zenon_L1184_ *)
% 10.45/10.63 assert (zenon_L1185_ : ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((e1) = (e3))) -> (~((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 (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e0)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((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 (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (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)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (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 (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((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 (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> False).
% 10.45/10.63 do 0 intro. intros zenon_H158 zenon_H1ef zenon_H169 zenon_H42 zenon_H28 zenon_He7 zenon_H5e zenon_H44 zenon_H35 zenon_Hde zenon_H2a zenon_H26 zenon_H4c zenon_H95 zenon_H97 zenon_H1f zenon_Hc1 zenon_H191 zenon_H27 zenon_H150 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_Hc6 zenon_H14d zenon_H53 zenon_H80 zenon_H16b zenon_Hdd zenon_H168 zenon_H56 zenon_H1f0 zenon_Hf2 zenon_Hc5 zenon_Hc8 zenon_H3c zenon_H103 zenon_Hec zenon_H15a zenon_H159 zenon_H1cb zenon_H64 zenon_H177 zenon_H173 zenon_H16e zenon_Hf5 zenon_H7a zenon_Hda zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_Hfd zenon_H174 zenon_H156 zenon_H155 zenon_H157 zenon_Hbb zenon_Hf8 zenon_H12f zenon_H144 zenon_H10b zenon_H132 zenon_H7d zenon_H86 zenon_H145 zenon_H14a zenon_H151 zenon_H152 zenon_H165 zenon_H108 zenon_H23d zenon_H1dd zenon_H112.
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.45/10.63 apply (zenon_L832_); trivial.
% 10.45/10.63 apply (zenon_L1181_); trivial.
% 10.45/10.63 apply (zenon_L1182_); trivial.
% 10.45/10.63 apply (zenon_L1184_); trivial.
% 10.45/10.63 (* end of lemma zenon_L1185_ *)
% 10.45/10.63 assert (zenon_L1186_ : ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> (((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 (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 (e1) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e2) = (e3))) -> ((op (e3) (e2)) = (e2)) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> False).
% 10.45/10.63 do 0 intro. intros zenon_H157 zenon_Hcf zenon_H112 zenon_Hd2 zenon_H127 zenon_H151 zenon_H14a zenon_H53 zenon_H44 zenon_H14d zenon_H145 zenon_H86 zenon_H80 zenon_H7d zenon_H155 zenon_Hc5 zenon_He8 zenon_H2a zenon_H12f zenon_H95 zenon_H135 zenon_Hf8 zenon_Hbb zenon_H150 zenon_H152 zenon_H158.
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.45/10.63 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.45/10.63 apply (zenon_L121_); trivial.
% 10.45/10.63 exact (zenon_H127 zenon_Hd0).
% 10.45/10.63 apply (zenon_L116_); trivial.
% 10.45/10.63 apply (zenon_L79_); trivial.
% 10.45/10.63 (* end of lemma zenon_L1186_ *)
% 10.45/10.63 assert (zenon_L1187_ : ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e3))) -> (((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/((op (e3) (e2)) = (e3))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (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 (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))))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> False).
% 10.45/10.63 do 0 intro. intros zenon_H168 zenon_H108 zenon_H159 zenon_H35 zenon_H103 zenon_H4c zenon_H165 zenon_H158 zenon_H152 zenon_H150 zenon_Hbb zenon_Hf8 zenon_H95 zenon_H12f zenon_H2a zenon_H144 zenon_H135 zenon_H10b zenon_H3c zenon_Hc5 zenon_H132 zenon_H7d zenon_H80 zenon_H86 zenon_H145 zenon_H14d zenon_H44 zenon_H53 zenon_H14a zenon_H151 zenon_H127 zenon_Hd2 zenon_H157 zenon_H112 zenon_H155 zenon_H156.
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.45/10.63 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.45/10.63 apply (zenon_L115_); trivial.
% 10.45/10.63 exact (zenon_H127 zenon_Hd0).
% 10.45/10.63 apply (zenon_L116_); trivial.
% 10.45/10.63 apply (zenon_L1186_); trivial.
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.45/10.63 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.45/10.63 apply (zenon_L127_); trivial.
% 10.45/10.63 exact (zenon_H127 zenon_Hd0).
% 10.45/10.63 apply (zenon_L116_); trivial.
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.45/10.63 apply (zenon_L1082_); trivial.
% 10.45/10.63 apply (zenon_L79_); trivial.
% 10.45/10.63 (* end of lemma zenon_L1187_ *)
% 10.45/10.63 assert (zenon_L1188_ : ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((e1) = (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))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> ((op (e3) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e0) = (e1))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (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 (e1) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> (~((e2) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> False).
% 10.45/10.63 do 0 intro. intros zenon_H158 zenon_H152 zenon_H150 zenon_Hbb zenon_H4c zenon_H64 zenon_Hf5 zenon_H7a zenon_H135 zenon_H35 zenon_H169 zenon_H5e zenon_H53 zenon_H44 zenon_H14d zenon_Hb1 zenon_H3c zenon_Hc5 zenon_H1d zenon_H1f zenon_H56 zenon_H95 zenon_H80 zenon_H16b zenon_H151 zenon_H127 zenon_Hd2.
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.45/10.63 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.45/10.63 apply (zenon_L147_); trivial.
% 10.45/10.63 exact (zenon_H127 zenon_Hd0).
% 10.45/10.63 apply (zenon_L116_); trivial.
% 10.45/10.63 (* end of lemma zenon_L1188_ *)
% 10.45/10.63 assert (zenon_L1189_ : ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((op (e3) (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) (e2)) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> False).
% 10.45/10.63 do 0 intro. intros zenon_H158 zenon_H135 zenon_H152 zenon_Hc5 zenon_H91 zenon_H51 zenon_H3c zenon_H127 zenon_Hd2.
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.45/10.63 apply (zenon_L1088_); trivial.
% 10.45/10.63 apply (zenon_L116_); trivial.
% 10.45/10.63 (* end of lemma zenon_L1189_ *)
% 10.45/10.63 assert (zenon_L1190_ : ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (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 (e3) (e2)) = (e2)) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> False).
% 10.45/10.63 do 0 intro. intros zenon_H157 zenon_Hcf zenon_H112 zenon_Hd2 zenon_H127 zenon_H3c zenon_H51 zenon_Hc5 zenon_H152 zenon_H135 zenon_H158.
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.45/10.63 apply (zenon_L1189_); trivial.
% 10.45/10.63 apply (zenon_L79_); trivial.
% 10.45/10.63 (* end of lemma zenon_L1190_ *)
% 10.45/10.63 assert (zenon_L1191_ : ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> ((op (e1) (e1)) = (e1)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> False).
% 10.45/10.63 do 0 intro. intros zenon_H156 zenon_H51 zenon_H112 zenon_H157 zenon_Hd2 zenon_H127 zenon_H151 zenon_H16b zenon_H80 zenon_H95 zenon_H56 zenon_H1f zenon_H1d zenon_Hc5 zenon_H3c zenon_H14d zenon_H44 zenon_H53 zenon_H5e zenon_H169 zenon_H35 zenon_H135 zenon_H7a zenon_Hf5 zenon_H64 zenon_H4c zenon_Hbb zenon_H150 zenon_H152 zenon_H158.
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.45/10.63 apply (zenon_L1188_); trivial.
% 10.45/10.63 apply (zenon_L1190_); trivial.
% 10.45/10.63 (* end of lemma zenon_L1191_ *)
% 10.45/10.63 assert (zenon_L1192_ : ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((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 (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((e2) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e0) (e1)) = (e0)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e1) (e1)) = (e1)) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> False).
% 10.45/10.63 do 0 intro. intros zenon_H156 zenon_Hda zenon_H4c zenon_H169 zenon_Hf5 zenon_H16f zenon_H118 zenon_H114 zenon_H112 zenon_H110 zenon_Hd3 zenon_H95 zenon_H80 zenon_H16b zenon_H28 zenon_H151 zenon_Hd2 zenon_H127 zenon_Hfd zenon_H68 zenon_H103 zenon_H35 zenon_H10b zenon_H135 zenon_H144 zenon_H1d zenon_H16e zenon_H3c zenon_Hc5 zenon_H44 zenon_H108 zenon_H152 zenon_H158.
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.45/10.63 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.45/10.63 apply (zenon_L153_); trivial.
% 10.45/10.63 exact (zenon_H127 zenon_Hd0).
% 10.45/10.63 apply (zenon_L116_); trivial.
% 10.45/10.63 apply (zenon_L156_); trivial.
% 10.45/10.63 (* end of lemma zenon_L1192_ *)
% 10.45/10.63 assert (zenon_L1193_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((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 (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e2))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e3)) = (e3))) -> False).
% 10.45/10.63 do 0 intro. intros zenon_H173 zenon_H14a zenon_H145 zenon_H86 zenon_H7d zenon_H132 zenon_H12f zenon_Hf8 zenon_H159 zenon_H168 zenon_H108 zenon_H165 zenon_H16e zenon_H103 zenon_H155 zenon_H157 zenon_H112 zenon_H156 zenon_Hd2 zenon_H127 zenon_H151 zenon_H16b zenon_H95 zenon_H1f zenon_Hc5 zenon_H3c zenon_H14d zenon_H44 zenon_H53 zenon_H5e zenon_H169 zenon_H35 zenon_H7a zenon_Hf5 zenon_H64 zenon_H4c zenon_Hbb zenon_H150 zenon_H158 zenon_Hda zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_H28 zenon_Hfd zenon_H10b zenon_H144 zenon_H174 zenon_H152 zenon_H135 zenon_H80.
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.45/10.63 apply (zenon_L1187_); trivial.
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.45/10.63 apply (zenon_L1188_); trivial.
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.45/10.63 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H51 | zenon_intro zenon_H109 ].
% 10.45/10.63 apply (zenon_L1191_); trivial.
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H101 | zenon_intro zenon_H10a ].
% 10.45/10.63 apply (zenon_L118_); trivial.
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H106 ].
% 10.45/10.63 apply (zenon_L150_); trivial.
% 10.45/10.63 apply (zenon_L113_); trivial.
% 10.45/10.63 exact (zenon_H127 zenon_Hd0).
% 10.45/10.63 apply (zenon_L116_); trivial.
% 10.45/10.63 apply (zenon_L79_); trivial.
% 10.45/10.63 apply (zenon_L1192_); trivial.
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.45/10.63 apply (zenon_L116_); trivial.
% 10.45/10.63 exact (zenon_H80 zenon_H84).
% 10.45/10.63 (* end of lemma zenon_L1193_ *)
% 10.45/10.63 assert (zenon_L1194_ : ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (e0))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> ((op (e1) (e1)) = (e1)) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (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 (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> False).
% 10.45/10.63 do 0 intro. intros zenon_H4a zenon_H23e zenon_H158 zenon_H152 zenon_H108 zenon_H44 zenon_Hc5 zenon_H3c zenon_H16e zenon_H1d zenon_H144 zenon_H135 zenon_H10b zenon_H35 zenon_H103 zenon_H68 zenon_Hfd zenon_H127 zenon_Hd2 zenon_H151 zenon_H16b zenon_H80 zenon_H95 zenon_Hd3 zenon_H110 zenon_H112 zenon_H114 zenon_H118 zenon_H16f zenon_Hf5 zenon_H169 zenon_H4c zenon_Hda zenon_H156.
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.45/10.63 apply (zenon_L1192_); trivial.
% 10.45/10.63 exact (zenon_H23e zenon_H43).
% 10.45/10.63 (* end of lemma zenon_L1194_ *)
% 10.45/10.63 assert (zenon_L1195_ : (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((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 (e1) (e0)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (e0))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((e0) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((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 (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e2) (e0)) = (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 (e1) (e0)) = (op (e3) (e0)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((e0) = (e1))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (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)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (~((op (e3) (e3)) = (e3))) -> False).
% 10.45/10.63 do 0 intro. intros zenon_H173 zenon_H155 zenon_H145 zenon_H86 zenon_H7d zenon_H132 zenon_H12f zenon_Hf8 zenon_H165 zenon_H159 zenon_H168 zenon_H174 zenon_H4a zenon_H23e zenon_H158 zenon_H108 zenon_H44 zenon_Hc5 zenon_H3c zenon_H16e zenon_H144 zenon_H10b zenon_H35 zenon_H103 zenon_Hfd zenon_H127 zenon_Hd2 zenon_H151 zenon_H16b zenon_H95 zenon_Hd3 zenon_H110 zenon_H112 zenon_H114 zenon_H118 zenon_H16f zenon_Hf5 zenon_H169 zenon_H4c zenon_Hda zenon_H156 zenon_H157 zenon_H1f zenon_H14d zenon_H53 zenon_H5e zenon_H7a zenon_H64 zenon_Hbb zenon_H150 zenon_H200 zenon_H14a zenon_H204 zenon_H152 zenon_H135 zenon_H80.
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.45/10.63 apply (zenon_L1187_); trivial.
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.45/10.63 exact (zenon_H25 zenon_H2a).
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.45/10.63 apply (zenon_L1194_); trivial.
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.45/10.63 apply (zenon_L1191_); trivial.
% 10.45/10.63 exact (zenon_H23e zenon_H43).
% 10.45/10.63 apply (zenon_L1194_); trivial.
% 10.45/10.63 apply (zenon_L1116_); trivial.
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.45/10.63 apply (zenon_L116_); trivial.
% 10.45/10.63 exact (zenon_H80 zenon_H84).
% 10.45/10.63 (* end of lemma zenon_L1195_ *)
% 10.45/10.63 assert (zenon_L1196_ : ((~((op (e0) (e0)) = (e3)))\/(~((op (e0) (e3)) = (e0)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((e1) = (e2))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((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))))) -> (~((e1) = (e3))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> (((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 (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((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)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e2)) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((e2) = (e3))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (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 (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (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 (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/(~((op (e2) (e3)) = (e2)))) -> False).
% 10.45/10.63 do 0 intro. intros zenon_H23f zenon_H204 zenon_H200 zenon_H4a zenon_H23d zenon_H168 zenon_H103 zenon_H35 zenon_H159 zenon_H108 zenon_H165 zenon_H4c zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H53 zenon_H44 zenon_H14d zenon_H145 zenon_H86 zenon_H7d zenon_H132 zenon_Hc5 zenon_H3c zenon_H10b zenon_H135 zenon_H144 zenon_H12f zenon_H95 zenon_Hf8 zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H174 zenon_Hfd zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hda zenon_H16b zenon_H1f zenon_H5e zenon_H169 zenon_H7a zenon_Hf5 zenon_H64 zenon_H16e zenon_H173 zenon_Hd2 zenon_H240.
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H28 | zenon_intro zenon_H23e ].
% 10.45/10.63 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H127 ].
% 10.45/10.63 apply (zenon_L1056_); trivial.
% 10.45/10.64 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H80 | zenon_intro zenon_H80 ].
% 10.45/10.64 apply (zenon_L1193_); trivial.
% 10.45/10.64 apply (zenon_L1193_); trivial.
% 10.45/10.64 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H127 ].
% 10.45/10.64 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H80 | zenon_intro zenon_H80 ].
% 10.45/10.64 apply (zenon_L1117_); trivial.
% 10.45/10.64 apply (zenon_L1117_); trivial.
% 10.45/10.64 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H80 | zenon_intro zenon_H80 ].
% 10.45/10.64 apply (zenon_L1195_); trivial.
% 10.45/10.64 apply (zenon_L1195_); trivial.
% 10.45/10.64 (* end of lemma zenon_L1196_ *)
% 10.45/10.64 assert (zenon_L1197_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e3) (e2)) = (e0)) -> ((op (e3) (e1)) = (e1)) -> ((~((op (e2) (e2)) = (e3)))\/(~((op (e2) (e3)) = (e2)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (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))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e0) = (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)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (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))))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((e1) = (e3))) -> (((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 (e1) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/(~((op (e0) (e3)) = (e0)))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 10.45/10.64 do 0 intro. intros zenon_H177 zenon_H80 zenon_H106 zenon_Hf2 zenon_H240 zenon_Hd2 zenon_H173 zenon_H16e zenon_H64 zenon_Hf5 zenon_H7a zenon_H169 zenon_H5e zenon_H1f zenon_H16b zenon_Hda zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_Hfd zenon_H174 zenon_H156 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_Hf8 zenon_H95 zenon_H12f zenon_H144 zenon_H10b zenon_H3c zenon_Hc5 zenon_H132 zenon_H7d zenon_H86 zenon_H145 zenon_H14d zenon_H44 zenon_H53 zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H4c zenon_H165 zenon_H108 zenon_H159 zenon_H35 zenon_H103 zenon_H168 zenon_H23d zenon_H4a zenon_H200 zenon_H204 zenon_H23f zenon_H7f.
% 10.45/10.64 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H178 ].
% 10.45/10.64 apply (zenon_L208_); trivial.
% 10.45/10.64 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H179 ].
% 10.45/10.64 apply (zenon_L63_); trivial.
% 10.45/10.64 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H135 | zenon_intro zenon_H85 ].
% 10.45/10.64 apply (zenon_L1196_); trivial.
% 10.45/10.64 exact (zenon_H7f zenon_H85).
% 10.45/10.64 (* end of lemma zenon_L1197_ *)
% 10.45/10.64 assert (zenon_L1198_ : ((op (e0) (e1)) = (e0)) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e2)) = (e0))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e3) (e1)) = (e1)) -> ((~((op (e2) (e2)) = (e3)))\/(~((op (e2) (e3)) = (e2)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (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))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e0) = (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)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (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))))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((e1) = (e3))) -> (((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 (e1) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/(~((op (e0) (e3)) = (e0)))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 10.45/10.64 do 0 intro. intros zenon_H68 zenon_H100 zenon_Hb1 zenon_H177 zenon_H80 zenon_Hf2 zenon_H240 zenon_Hd2 zenon_H173 zenon_H16e zenon_H64 zenon_Hf5 zenon_H7a zenon_H169 zenon_H5e zenon_H1f zenon_H16b zenon_Hda zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_Hfd zenon_H174 zenon_H156 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_Hf8 zenon_H95 zenon_H12f zenon_H144 zenon_H10b zenon_H3c zenon_Hc5 zenon_H132 zenon_H7d zenon_H86 zenon_H145 zenon_H14d zenon_H44 zenon_H53 zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H4c zenon_H165 zenon_H108 zenon_H159 zenon_H35 zenon_H103 zenon_H168 zenon_H23d zenon_H4a zenon_H200 zenon_H204 zenon_H23f zenon_H7f.
% 10.45/10.64 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H51 | zenon_intro zenon_H109 ].
% 10.45/10.64 apply (zenon_L69_); trivial.
% 10.45/10.64 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H101 | zenon_intro zenon_H10a ].
% 10.45/10.64 apply (zenon_L71_); trivial.
% 10.45/10.64 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_Hb7 | zenon_intro zenon_H106 ].
% 10.45/10.64 exact (zenon_Hb1 zenon_Hb7).
% 10.45/10.64 apply (zenon_L1197_); trivial.
% 10.45/10.64 (* end of lemma zenon_L1198_ *)
% 10.45/10.64 assert (zenon_L1199_ : (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (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 (e2) (e1)) = (e0)) -> ((op (e0) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> False).
% 10.45/10.64 do 0 intro. intros zenon_Hde zenon_Hc1 zenon_H1f zenon_H192 zenon_He8 zenon_H191 zenon_H78 zenon_H4b zenon_H216 zenon_H3a zenon_Hf2 zenon_H35.
% 10.45/10.64 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H34 | zenon_intro zenon_He1 ].
% 10.45/10.64 apply (zenon_L331_); trivial.
% 10.45/10.64 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_Hb4 | zenon_intro zenon_He2 ].
% 10.45/10.64 apply (zenon_L334_); trivial.
% 10.45/10.64 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ].
% 10.45/10.64 apply (zenon_L500_); trivial.
% 10.45/10.64 apply (zenon_L63_); trivial.
% 10.45/10.64 (* end of lemma zenon_L1199_ *)
% 10.45/10.64 assert (zenon_L1200_ : (((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)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 10.45/10.64 do 0 intro. intros zenon_H177 zenon_H44 zenon_He4 zenon_H35 zenon_Hf2 zenon_Hc5 zenon_Hc8 zenon_H91 zenon_H51 zenon_H3c zenon_H152 zenon_H158 zenon_H7f.
% 10.45/10.64 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H178 ].
% 10.45/10.64 apply (zenon_L99_); trivial.
% 10.45/10.64 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H179 ].
% 10.45/10.64 apply (zenon_L63_); trivial.
% 10.45/10.64 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H135 | zenon_intro zenon_H85 ].
% 10.45/10.64 apply (zenon_L367_); trivial.
% 10.45/10.64 exact (zenon_H7f zenon_H85).
% 10.45/10.64 (* end of lemma zenon_L1200_ *)
% 10.45/10.64 assert (zenon_L1201_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e1)) -> ((op (e3) (e2)) = (e0)) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 10.45/10.64 do 0 intro. intros zenon_H177 zenon_H80 zenon_H52 zenon_H10b zenon_Hb9 zenon_H114 zenon_H95 zenon_H16b zenon_H35 zenon_Hf2 zenon_H106 zenon_H44 zenon_H7f.
% 10.45/10.64 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H178 ].
% 10.45/10.64 apply (zenon_L366_); trivial.
% 10.45/10.64 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H179 ].
% 10.45/10.64 apply (zenon_L63_); trivial.
% 10.45/10.64 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H135 | zenon_intro zenon_H85 ].
% 10.45/10.64 apply (zenon_L113_); trivial.
% 10.45/10.64 exact (zenon_H7f zenon_H85).
% 10.45/10.64 (* end of lemma zenon_L1201_ *)
% 10.45/10.64 assert (zenon_L1202_ : (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (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))))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((e0) = (e2))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> ((op (e2) (e1)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e0) (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)) = (e0))) -> False).
% 10.45/10.64 do 0 intro. intros zenon_H14d zenon_H158 zenon_H152 zenon_H3c zenon_H51 zenon_H91 zenon_Hc8 zenon_Hc5 zenon_H5e zenon_H7f zenon_H44 zenon_Hf2 zenon_H35 zenon_H16b zenon_H95 zenon_H114 zenon_Hb9 zenon_H10b zenon_H52 zenon_H80 zenon_H177 zenon_H8d.
% 10.45/10.64 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_He4 | zenon_intro zenon_H14e ].
% 10.45/10.64 apply (zenon_L1200_); trivial.
% 10.45/10.64 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_He5 | zenon_intro zenon_H14f ].
% 10.45/10.64 apply (zenon_L206_); trivial.
% 10.45/10.64 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H106 | zenon_intro zenon_H7b ].
% 10.45/10.64 apply (zenon_L1201_); trivial.
% 10.45/10.64 exact (zenon_H8d zenon_H7b).
% 10.45/10.64 (* end of lemma zenon_L1202_ *)
% 10.45/10.64 assert (zenon_L1203_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((e1) = (e2))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e3))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (~((op (e3) (e3)) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (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 (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e3) (e1)) = (e1)) -> False).
% 10.45/10.64 do 0 intro. intros zenon_He7 zenon_Hfd zenon_H35 zenon_H3a zenon_H216 zenon_Hc0 zenon_Hc1 zenon_H8d zenon_H177 zenon_H80 zenon_H52 zenon_H10b zenon_H114 zenon_H95 zenon_H16b zenon_H44 zenon_H7f zenon_Hc5 zenon_Hc8 zenon_H91 zenon_H51 zenon_H3c zenon_H152 zenon_H158 zenon_H14d zenon_H4c zenon_H191 zenon_He8 zenon_H192 zenon_H1f zenon_Hde zenon_H5e zenon_Hf2.
% 10.45/10.64 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H68 | zenon_intro zenon_He9 ].
% 10.45/10.64 apply (zenon_L69_); trivial.
% 10.45/10.64 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Heb | zenon_intro zenon_Hea ].
% 10.45/10.64 exact (zenon_He8 zenon_Heb).
% 10.45/10.64 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H78 | zenon_intro zenon_He5 ].
% 10.45/10.64 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H34 | zenon_intro zenon_He1 ].
% 10.45/10.64 apply (zenon_L331_); trivial.
% 10.45/10.64 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_Hb4 | zenon_intro zenon_He2 ].
% 10.45/10.64 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H4b | zenon_intro zenon_Hc2 ].
% 10.45/10.64 apply (zenon_L334_); trivial.
% 10.45/10.64 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc3 ].
% 10.45/10.64 exact (zenon_Hc1 zenon_Hc4).
% 10.45/10.64 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hbd ].
% 10.45/10.64 apply (zenon_L1202_); trivial.
% 10.45/10.64 apply (zenon_L207_); trivial.
% 10.45/10.64 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ].
% 10.45/10.64 apply (zenon_L500_); trivial.
% 10.45/10.64 apply (zenon_L63_); trivial.
% 10.45/10.64 apply (zenon_L206_); trivial.
% 10.45/10.64 (* end of lemma zenon_L1203_ *)
% 10.45/10.64 assert (zenon_L1204_ : (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e2)) = (e0))) -> ((~((op (e2) (e2)) = (e3)))\/(~((op (e2) (e3)) = (e2)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (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))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((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 (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((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 (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/(~((op (e0) (e3)) = (e0)))) -> ((op (e3) (e1)) = (e1)) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((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 (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (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))))) -> (~((op (e3) (e3)) = (e2))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e1) = (e3))) -> False).
% 10.45/10.64 do 0 intro. intros zenon_H56 zenon_H1f0 zenon_H6f zenon_H97 zenon_H28 zenon_H100 zenon_Hb1 zenon_H240 zenon_Hd2 zenon_H173 zenon_H16e zenon_H64 zenon_Hf5 zenon_H7a zenon_H169 zenon_Hda zenon_H16f zenon_H118 zenon_H110 zenon_Hd3 zenon_H174 zenon_H156 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_Hf8 zenon_H12f zenon_H144 zenon_H132 zenon_H7d zenon_H86 zenon_H145 zenon_H53 zenon_H14a zenon_H151 zenon_H165 zenon_H108 zenon_H159 zenon_H103 zenon_H168 zenon_H23d zenon_H4a zenon_H200 zenon_H204 zenon_H23f zenon_Hf2 zenon_H5e zenon_Hde zenon_H1f zenon_H192 zenon_He8 zenon_H191 zenon_H14d zenon_H158 zenon_H152 zenon_H3c zenon_H51 zenon_H91 zenon_Hc8 zenon_Hc5 zenon_H7f zenon_H44 zenon_H16b zenon_H95 zenon_H114 zenon_H10b zenon_H80 zenon_H177 zenon_H8d zenon_Hc1 zenon_Hc0 zenon_H216 zenon_H3a zenon_H35 zenon_Hfd zenon_He7 zenon_H4c.
% 10.45/10.64 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.45/10.64 exact (zenon_H56 zenon_H2c).
% 10.45/10.64 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.45/10.64 apply (zenon_L327_); trivial.
% 10.45/10.64 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.45/10.64 apply (zenon_L228_); trivial.
% 10.45/10.64 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H31 | zenon_intro zenon_H98 ].
% 10.45/10.64 exact (zenon_H28 zenon_H31).
% 10.45/10.64 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ].
% 10.45/10.64 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H68 | zenon_intro zenon_He9 ].
% 10.45/10.64 apply (zenon_L1198_); trivial.
% 10.45/10.64 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Heb | zenon_intro zenon_Hea ].
% 10.45/10.64 exact (zenon_He8 zenon_Heb).
% 10.45/10.64 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H78 | zenon_intro zenon_He5 ].
% 10.45/10.64 apply (zenon_L1199_); trivial.
% 10.45/10.64 apply (zenon_L206_); trivial.
% 10.45/10.64 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H52 | zenon_intro zenon_H57 ].
% 10.45/10.64 apply (zenon_L1203_); trivial.
% 10.45/10.64 apply (zenon_L13_); trivial.
% 10.45/10.64 (* end of lemma zenon_L1204_ *)
% 10.45/10.64 assert (zenon_L1205_ : (((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 (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e3) (e1)) = (e1)) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (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))))) -> (~((e0) = (e2))) -> (~((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) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> False).
% 10.45/10.64 do 0 intro. intros zenon_H64 zenon_H56 zenon_H1f0 zenon_H97 zenon_H28 zenon_Hf2 zenon_H5e zenon_Hde zenon_Hc1 zenon_H1f zenon_H192 zenon_He8 zenon_H191 zenon_H44 zenon_H35 zenon_H144 zenon_Hfd zenon_H6f zenon_H100 zenon_H3c zenon_H3a zenon_He7 zenon_H10b zenon_Hed zenon_H4c.
% 10.45/10.64 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.45/10.64 exact (zenon_H56 zenon_H2c).
% 10.45/10.64 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.45/10.64 apply (zenon_L327_); trivial.
% 10.45/10.64 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.45/10.64 apply (zenon_L228_); trivial.
% 10.45/10.64 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H31 | zenon_intro zenon_H98 ].
% 10.45/10.64 exact (zenon_H28 zenon_H31).
% 10.45/10.64 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ].
% 10.45/10.64 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H68 | zenon_intro zenon_He9 ].
% 10.45/10.64 apply (zenon_L345_); trivial.
% 10.45/10.64 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Heb | zenon_intro zenon_Hea ].
% 10.45/10.64 exact (zenon_He8 zenon_Heb).
% 10.45/10.64 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H78 | zenon_intro zenon_He5 ].
% 10.45/10.64 apply (zenon_L765_); trivial.
% 10.45/10.64 apply (zenon_L206_); trivial.
% 10.45/10.64 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H52 | zenon_intro zenon_H57 ].
% 10.45/10.64 apply (zenon_L75_); trivial.
% 10.45/10.64 apply (zenon_L13_); trivial.
% 10.45/10.64 (* end of lemma zenon_L1205_ *)
% 10.45/10.64 assert (zenon_L1206_ : (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((e0) = (e1))) -> (~((op (e2) (e2)) = (e0))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e2) (e2)) = (e3)))\/(~((op (e2) (e3)) = (e2)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (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))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (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))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/(~((op (e0) (e3)) = (e0)))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((op (e3) (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 (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> False).
% 10.45/10.64 do 0 intro. intros zenon_H1dd zenon_H28 zenon_He7 zenon_H191 zenon_Hc1 zenon_H192 zenon_H216 zenon_H3a zenon_Hde zenon_He8 zenon_Hfd zenon_H5e zenon_Hb1 zenon_H177 zenon_H240 zenon_Hd2 zenon_H173 zenon_H16e zenon_H64 zenon_Hf5 zenon_H7a zenon_H169 zenon_H1f zenon_Hda zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_H174 zenon_H156 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_Hf8 zenon_H12f zenon_H144 zenon_H10b zenon_H3c zenon_Hc5 zenon_H132 zenon_H7d zenon_H86 zenon_H145 zenon_H14d zenon_H44 zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H165 zenon_H108 zenon_H159 zenon_H103 zenon_H168 zenon_H23d zenon_H4a zenon_H200 zenon_H204 zenon_H23f zenon_H35 zenon_H95 zenon_H4c zenon_H53 zenon_H80 zenon_H16b zenon_Hc0 zenon_Hc8 zenon_H91 zenon_H51 zenon_H97 zenon_H100 zenon_H6f zenon_Hf2 zenon_H1f0 zenon_H56.
% 10.45/10.64 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.45/10.64 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.45/10.64 apply (zenon_L1204_); trivial.
% 10.45/10.64 apply (zenon_L1205_); trivial.
% 10.45/10.64 apply (zenon_L1058_); trivial.
% 10.45/10.64 (* end of lemma zenon_L1206_ *)
% 10.45/10.64 assert (zenon_L1207_ : (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e2) (e2)) = (e3)))\/(~((op (e2) (e3)) = (e2)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (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))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (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))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/(~((op (e0) (e3)) = (e0)))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((op (e3) (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 (e2) (e2)) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> False).
% 10.45/10.64 do 0 intro. intros zenon_Hc6 zenon_H1dd zenon_H28 zenon_He7 zenon_H191 zenon_Hc1 zenon_H192 zenon_H216 zenon_H3a zenon_Hde zenon_He8 zenon_Hfd zenon_H5e zenon_H177 zenon_H240 zenon_Hd2 zenon_H173 zenon_H16e zenon_H64 zenon_Hf5 zenon_H7a zenon_H169 zenon_H1f zenon_Hda zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_H174 zenon_H156 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_Hf8 zenon_H12f zenon_H144 zenon_H10b zenon_H3c zenon_Hc5 zenon_H132 zenon_H7d zenon_H86 zenon_H145 zenon_H14d zenon_H44 zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H165 zenon_H108 zenon_H159 zenon_H103 zenon_H168 zenon_H23d zenon_H4a zenon_H200 zenon_H204 zenon_H23f zenon_H35 zenon_H95 zenon_H4c zenon_H53 zenon_H80 zenon_H16b zenon_Hc0 zenon_Hc8 zenon_H51 zenon_H97 zenon_H100 zenon_H6f zenon_Hf2 zenon_H1f0 zenon_H56.
% 10.45/10.64 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.45/10.64 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.45/10.64 apply (zenon_L1206_); trivial.
% 10.45/10.64 apply (zenon_L500_); trivial.
% 10.45/10.64 apply (zenon_L321_); trivial.
% 10.45/10.64 (* end of lemma zenon_L1207_ *)
% 10.45/10.64 assert (zenon_L1208_ : (~((op (e0) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> ((~((op (e0) (e0)) = (e3)))\/(~((op (e0) (e3)) = (e0)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (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 (e3) (e3)) = (e1)))\/((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (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 (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/(~((op (e2) (e3)) = (e2)))) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e1)) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (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))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> False).
% 10.45/10.64 do 0 intro. intros zenon_H28 zenon_H1dd zenon_H16b zenon_H80 zenon_H53 zenon_H4c zenon_H95 zenon_H23f zenon_H204 zenon_H200 zenon_H4a zenon_H23d zenon_H168 zenon_H103 zenon_H159 zenon_H108 zenon_H165 zenon_H151 zenon_H14a zenon_H14d zenon_H145 zenon_H86 zenon_H7d zenon_H132 zenon_H10b zenon_H144 zenon_H12f zenon_Hf8 zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H174 zenon_Hfd zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hda zenon_H1f zenon_H169 zenon_H7a zenon_Hf5 zenon_H64 zenon_H16e zenon_H173 zenon_Hd2 zenon_H240 zenon_H5e zenon_H44 zenon_H35 zenon_Hf2 zenon_H158 zenon_H152 zenon_H3c zenon_H51 zenon_H91 zenon_Hc8 zenon_Hc5 zenon_H177 zenon_H1cb zenon_H15a zenon_Hec zenon_H6f zenon_H3a zenon_H1e6 zenon_H1f8 zenon_H1f0 zenon_H56.
% 10.45/10.64 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.45/10.64 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.45/10.64 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_He4 | zenon_intro zenon_H14e ].
% 10.45/10.64 apply (zenon_L1200_); trivial.
% 10.45/10.64 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_He5 | zenon_intro zenon_H14f ].
% 10.45/10.64 apply (zenon_L206_); trivial.
% 10.45/10.64 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H106 | zenon_intro zenon_H7b ].
% 10.45/10.64 apply (zenon_L1197_); trivial.
% 10.45/10.64 exact (zenon_H8d zenon_H7b).
% 10.45/10.64 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.45/10.64 exact (zenon_H56 zenon_H2c).
% 10.45/10.64 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.45/10.64 apply (zenon_L327_); trivial.
% 10.45/10.64 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.45/10.64 apply (zenon_L349_); trivial.
% 10.45/10.64 apply (zenon_L264_); trivial.
% 10.45/10.64 apply (zenon_L1058_); trivial.
% 10.45/10.64 (* end of lemma zenon_L1208_ *)
% 10.45/10.64 assert (zenon_L1209_ : (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/(~((op (e2) (e3)) = (e2)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (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))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (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)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((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 (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/(~((op (e0) (e3)) = (e0)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> False).
% 10.45/10.64 do 0 intro. intros zenon_H216 zenon_H56 zenon_H1f0 zenon_H1f8 zenon_H1e6 zenon_H3a zenon_H6f zenon_Hec zenon_H15a zenon_H1cb zenon_H177 zenon_Hc5 zenon_Hc8 zenon_H51 zenon_H3c zenon_H152 zenon_H158 zenon_Hf2 zenon_H35 zenon_H44 zenon_H5e zenon_H240 zenon_Hd2 zenon_H173 zenon_H16e zenon_H64 zenon_Hf5 zenon_H7a zenon_H169 zenon_H1f zenon_Hda zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_Hfd zenon_H174 zenon_H156 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_Hf8 zenon_H12f zenon_H144 zenon_H10b zenon_H132 zenon_H7d zenon_H86 zenon_H145 zenon_H14d zenon_H14a zenon_H151 zenon_H165 zenon_H108 zenon_H159 zenon_H103 zenon_H168 zenon_H23d zenon_H4a zenon_H200 zenon_H204 zenon_H23f zenon_H95 zenon_H4c zenon_H53 zenon_H80 zenon_H16b zenon_H1dd zenon_H28.
% 10.45/10.64 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.45/10.64 apply (zenon_L1208_); trivial.
% 10.45/10.64 apply (zenon_L500_); trivial.
% 10.45/10.64 (* end of lemma zenon_L1209_ *)
% 10.45/10.64 assert (zenon_L1210_ : (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/(~((op (e0) (e3)) = (e0)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e2))) -> (((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 (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((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)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (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 (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/(~((op (e2) (e3)) = (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((op (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> False).
% 10.45/10.64 do 0 intro. intros zenon_Hc6 zenon_H16b zenon_H80 zenon_H53 zenon_Hf2 zenon_H4c zenon_H95 zenon_H35 zenon_H23f zenon_H204 zenon_H200 zenon_H4a zenon_H23d zenon_H168 zenon_H103 zenon_H159 zenon_H108 zenon_H165 zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H44 zenon_H14d zenon_H145 zenon_H86 zenon_H7d zenon_H132 zenon_Hc5 zenon_H3c zenon_H10b zenon_H144 zenon_H12f zenon_Hf8 zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H174 zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hda zenon_H1f zenon_H169 zenon_H7a zenon_Hf5 zenon_H64 zenon_H16e zenon_H173 zenon_Hd2 zenon_H240 zenon_H177 zenon_H100 zenon_H5e zenon_H68 zenon_Hfd zenon_H3a zenon_H6f.
% 10.45/10.64 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.45/10.64 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.45/10.64 apply (zenon_L1198_); trivial.
% 10.45/10.64 apply (zenon_L345_); trivial.
% 10.45/10.64 apply (zenon_L321_); trivial.
% 10.45/10.64 (* end of lemma zenon_L1210_ *)
% 10.45/10.64 assert (zenon_L1211_ : ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/(~((op (e0) (e3)) = (e0)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e2))) -> (((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 (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((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)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (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 (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/(~((op (e2) (e3)) = (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> False).
% 10.45/10.64 do 0 intro. intros zenon_H1ef zenon_H191 zenon_Hc1 zenon_H68 zenon_H1f zenon_Hc6 zenon_H16b zenon_H80 zenon_H53 zenon_Hf2 zenon_H4c zenon_H95 zenon_H35 zenon_H23f zenon_H204 zenon_H200 zenon_H4a zenon_H23d zenon_H168 zenon_H103 zenon_H159 zenon_H108 zenon_H165 zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H44 zenon_H14d zenon_H145 zenon_H86 zenon_H7d zenon_H132 zenon_Hc5 zenon_H3c zenon_H10b zenon_H144 zenon_H12f zenon_Hf8 zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H174 zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hda zenon_H169 zenon_H7a zenon_Hf5 zenon_H64 zenon_H16e zenon_H173 zenon_Hd2 zenon_H240 zenon_H177 zenon_H5e zenon_Hfd zenon_H3a zenon_H6f zenon_H1ea.
% 10.45/10.64 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.45/10.64 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.45/10.64 apply (zenon_L323_); trivial.
% 10.45/10.64 apply (zenon_L1210_); trivial.
% 10.45/10.64 apply (zenon_L140_); trivial.
% 10.45/10.64 (* end of lemma zenon_L1211_ *)
% 10.45/10.64 assert (zenon_L1212_ : (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e3)))\/(~((op (e2) (e3)) = (e2)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/(~((op (e0) (e3)) = (e0)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e1)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (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))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (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 (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((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)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (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) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 10.45/10.65 do 0 intro. intros zenon_H26 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_H67 zenon_H216 zenon_H240 zenon_Hd2 zenon_H4a zenon_H200 zenon_H204 zenon_H23f zenon_Hc0 zenon_H97 zenon_H1f8 zenon_H1e6 zenon_Hec zenon_H1cb zenon_H1ef zenon_H169 zenon_He7 zenon_H5e zenon_H44 zenon_H35 zenon_Hf2 zenon_Hde zenon_H1f zenon_Hc1 zenon_H191 zenon_H64 zenon_H3c zenon_H42 zenon_H6f zenon_H1f0 zenon_H1ea zenon_H177 zenon_H173 zenon_H16e zenon_Hf5 zenon_H7a zenon_Hda zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_H28 zenon_Hfd zenon_H174 zenon_H156 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_Hf8 zenon_H12f zenon_H144 zenon_H10b zenon_Hc8 zenon_Hc5 zenon_H132 zenon_H7d zenon_H86 zenon_H145 zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H165 zenon_H108 zenon_H159 zenon_H103 zenon_H168 zenon_H23d zenon_H1dd zenon_Hc6 zenon_H14d zenon_H95 zenon_H4c zenon_H53 zenon_H16b zenon_Hdd zenon_H80.
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.45/10.65 apply (zenon_L1178_); trivial.
% 10.45/10.65 apply (zenon_L1185_); trivial.
% 10.45/10.65 apply (zenon_L101_); trivial.
% 10.45/10.65 apply (zenon_L937_); trivial.
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.45/10.65 apply (zenon_L140_); trivial.
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.45/10.65 apply (zenon_L1060_); trivial.
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.45/10.65 apply (zenon_L1052_); trivial.
% 10.45/10.65 apply (zenon_L1207_); trivial.
% 10.45/10.65 apply (zenon_L140_); trivial.
% 10.45/10.65 apply (zenon_L1209_); trivial.
% 10.45/10.65 apply (zenon_L1211_); trivial.
% 10.45/10.65 exact (zenon_H80 zenon_H84).
% 10.45/10.65 (* end of lemma zenon_L1212_ *)
% 10.45/10.65 assert (zenon_L1213_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e0))) -> (((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)) = (e1))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> False).
% 10.45/10.65 do 0 intro. intros zenon_Hd2 zenon_H127 zenon_H56 zenon_H1f0 zenon_Hf2 zenon_Hc5 zenon_Hc7 zenon_H3c zenon_Hb1 zenon_H103 zenon_Hec zenon_H91 zenon_H15a zenon_H159 zenon_H1cb zenon_H64.
% 10.45/10.65 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.45/10.65 apply (zenon_L832_); trivial.
% 10.45/10.65 exact (zenon_H127 zenon_Hd0).
% 10.45/10.65 (* end of lemma zenon_L1213_ *)
% 10.45/10.65 assert (zenon_L1214_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> ((op (e3) (e1)) = (e1)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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)) = (op (e0) (e2)))) -> (((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)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (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 (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> False).
% 10.45/10.65 do 0 intro. intros zenon_Hd2 zenon_H127 zenon_Hdd zenon_H44 zenon_H5e zenon_Hf2 zenon_H16b zenon_H80 zenon_H53 zenon_H4c zenon_H95 zenon_H14d zenon_H3a zenon_Hc6 zenon_H15a zenon_H35 zenon_H27 zenon_H1dd zenon_H23d zenon_H168 zenon_H103 zenon_H159 zenon_H108 zenon_H165 zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H145 zenon_H86 zenon_H7d zenon_H132 zenon_Hc5 zenon_H3c zenon_H10b zenon_H144 zenon_H12f zenon_Hf8 zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H174 zenon_Hfd zenon_H28 zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hda zenon_H1f zenon_H169 zenon_H7a zenon_Hf5 zenon_H64 zenon_H16e zenon_H173 zenon_H177.
% 10.45/10.65 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.45/10.65 apply (zenon_L1059_); trivial.
% 10.45/10.65 exact (zenon_H127 zenon_Hd0).
% 10.45/10.65 (* end of lemma zenon_L1214_ *)
% 10.45/10.65 assert (zenon_L1215_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> ((op (e3) (e1)) = (e1)) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e1)) = (e2)) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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)) = (op (e0) (e2)))) -> (((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)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (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 (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> False).
% 10.45/10.65 do 0 intro. intros zenon_Hd2 zenon_H127 zenon_Hdd zenon_H44 zenon_H5e zenon_Hf2 zenon_H16b zenon_H80 zenon_H53 zenon_H4c zenon_H95 zenon_H14d zenon_Hb8 zenon_H112 zenon_H15a zenon_H35 zenon_H27 zenon_H1dd zenon_H23d zenon_H168 zenon_H103 zenon_H159 zenon_H108 zenon_H165 zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H145 zenon_H86 zenon_H7d zenon_H132 zenon_Hc5 zenon_H3c zenon_H10b zenon_H144 zenon_H12f zenon_Hf8 zenon_Hbb zenon_H150 zenon_H157 zenon_H155 zenon_H156 zenon_H174 zenon_Hfd zenon_H28 zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hda zenon_H1f zenon_H169 zenon_H7a zenon_Hf5 zenon_H64 zenon_H16e zenon_H173 zenon_H177.
% 10.45/10.65 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.45/10.65 apply (zenon_L1182_); trivial.
% 10.45/10.65 exact (zenon_H127 zenon_Hd0).
% 10.45/10.65 (* end of lemma zenon_L1215_ *)
% 10.45/10.65 assert (zenon_L1216_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (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))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e0) = (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)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (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))))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> False).
% 10.45/10.65 do 0 intro. intros zenon_Hd2 zenon_H127 zenon_H27 zenon_H1dd zenon_Hdd zenon_H28 zenon_H4c zenon_H15a zenon_H95 zenon_Hcf zenon_H177 zenon_H173 zenon_H16e zenon_H64 zenon_Hf5 zenon_H7a zenon_H169 zenon_H5e zenon_H1f zenon_H16b zenon_Hda zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_Hfd zenon_H174 zenon_H156 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_Hf8 zenon_H12f zenon_H144 zenon_H10b zenon_H3c zenon_Hc5 zenon_H132 zenon_H7d zenon_H86 zenon_H145 zenon_H14d zenon_H44 zenon_H53 zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H165 zenon_H108 zenon_H159 zenon_H103 zenon_H168 zenon_H23d zenon_Hf2 zenon_H35.
% 10.45/10.65 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.45/10.65 apply (zenon_L1184_); trivial.
% 10.45/10.65 exact (zenon_H127 zenon_Hd0).
% 10.45/10.65 (* end of lemma zenon_L1216_ *)
% 10.45/10.65 assert (zenon_L1217_ : (((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)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e2) (e2)) = (e3)))\/(~((op (e2) (e3)) = (e2)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (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))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((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 (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (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)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/(~((op (e0) (e3)) = (e0)))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e2))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e3) (e1)) = (e1)) -> False).
% 10.45/10.65 do 0 intro. intros zenon_He7 zenon_H1ea zenon_H6f zenon_H3a zenon_Hfd zenon_H177 zenon_H240 zenon_Hd2 zenon_H173 zenon_H16e zenon_H64 zenon_Hf5 zenon_H7a zenon_H169 zenon_Hda zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_H174 zenon_H156 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_Hf8 zenon_H12f zenon_H144 zenon_H10b zenon_H3c zenon_Hc5 zenon_H132 zenon_H7d zenon_H86 zenon_H145 zenon_H14d zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H165 zenon_H108 zenon_H159 zenon_H103 zenon_H168 zenon_H23d zenon_H4a zenon_H200 zenon_H204 zenon_H23f zenon_H95 zenon_H4c zenon_H53 zenon_H80 zenon_H16b zenon_Hc6 zenon_H1ef zenon_H35 zenon_H44 zenon_Haf zenon_H191 zenon_He8 zenon_H192 zenon_H1f zenon_Hc1 zenon_Hde zenon_H5e zenon_Hf2.
% 10.45/10.65 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H68 | zenon_intro zenon_He9 ].
% 10.45/10.65 apply (zenon_L1211_); trivial.
% 10.45/10.65 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Heb | zenon_intro zenon_Hea ].
% 10.45/10.65 exact (zenon_He8 zenon_Heb).
% 10.45/10.65 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H78 | zenon_intro zenon_He5 ].
% 10.45/10.65 apply (zenon_L1051_); trivial.
% 10.45/10.65 apply (zenon_L206_); trivial.
% 10.45/10.65 (* end of lemma zenon_L1217_ *)
% 10.45/10.65 assert (zenon_L1218_ : (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((op (e0) (e2)) = (e0)) -> (((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))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/(~((op (e0) (e3)) = (e0)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e2))) -> (((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 (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((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)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (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 (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/(~((op (e2) (e3)) = (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 10.45/10.65 do 0 intro. intros zenon_Hc6 zenon_H127 zenon_H56 zenon_H1f0 zenon_Hf2 zenon_H6f zenon_H100 zenon_H97 zenon_H51 zenon_Hc0 zenon_H16b zenon_H80 zenon_H53 zenon_H4c zenon_H95 zenon_H35 zenon_H23f zenon_H204 zenon_H200 zenon_H4a zenon_H23d zenon_H168 zenon_H103 zenon_H159 zenon_H108 zenon_H165 zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H44 zenon_H14d zenon_H145 zenon_H86 zenon_H7d zenon_H132 zenon_Hc5 zenon_H3c zenon_H10b zenon_H144 zenon_H12f zenon_Hf8 zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H174 zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hda zenon_H1f zenon_H169 zenon_H7a zenon_Hf5 zenon_H64 zenon_H16e zenon_H173 zenon_Hd2 zenon_H240 zenon_H177 zenon_H5e zenon_Hfd zenon_He8 zenon_Hde zenon_H3a zenon_H216 zenon_H192 zenon_Hc1 zenon_H191 zenon_He7 zenon_H28 zenon_H1dd.
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.45/10.65 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.45/10.65 apply (zenon_L1206_); trivial.
% 10.45/10.65 exact (zenon_H127 zenon_Hd0).
% 10.45/10.65 apply (zenon_L500_); trivial.
% 10.45/10.65 apply (zenon_L321_); trivial.
% 10.45/10.65 (* end of lemma zenon_L1218_ *)
% 10.45/10.65 assert (zenon_L1219_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e0))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((e0) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e2) (e2)) = (e3)))\/(~((op (e2) (e3)) = (e2)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (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))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((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 (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (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))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/(~((op (e0) (e3)) = (e0)))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e1)) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e2) (e3)) = (e2))) -> (~((op (e0) (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 (e0) (e2)) = (e0)) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> False).
% 10.45/10.65 do 0 intro. intros zenon_He7 zenon_Hde zenon_He8 zenon_H1ea zenon_H6f zenon_H3a zenon_Hfd zenon_H5e zenon_H177 zenon_H240 zenon_Hd2 zenon_H173 zenon_H16e zenon_H64 zenon_Hf5 zenon_H7a zenon_H169 zenon_Hda zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_H174 zenon_H156 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_Hf8 zenon_H12f zenon_H144 zenon_H10b zenon_H3c zenon_Hc5 zenon_H132 zenon_H7d zenon_H86 zenon_H145 zenon_H14d zenon_H44 zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H165 zenon_H108 zenon_H159 zenon_H103 zenon_H168 zenon_H23d zenon_H4a zenon_H200 zenon_H204 zenon_H23f zenon_H35 zenon_H95 zenon_H4c zenon_Hf2 zenon_H53 zenon_H80 zenon_H16b zenon_Hc6 zenon_H1f zenon_Hc1 zenon_H191 zenon_H1ef zenon_H127 zenon_H56 zenon_H1f0 zenon_H97 zenon_H51 zenon_Hc0 zenon_H216 zenon_H28 zenon_H1dd.
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.45/10.65 apply (zenon_L1217_); trivial.
% 10.45/10.65 apply (zenon_L1218_); trivial.
% 10.45/10.65 apply (zenon_L140_); trivial.
% 10.45/10.65 (* end of lemma zenon_L1219_ *)
% 10.45/10.65 assert (zenon_L1220_ : (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> ((~((op (e0) (e0)) = (e3)))\/(~((op (e0) (e3)) = (e0)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (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 (e3) (e3)) = (e1)))\/((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (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 (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/(~((op (e2) (e3)) = (e2)))) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e1)) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e2) (e3)) = (e2))) -> False).
% 10.45/10.65 do 0 intro. intros zenon_H216 zenon_H28 zenon_H1dd zenon_H16b zenon_H80 zenon_H53 zenon_H4c zenon_H95 zenon_H23f zenon_H204 zenon_H200 zenon_H4a zenon_H23d zenon_H168 zenon_H103 zenon_H159 zenon_H108 zenon_H165 zenon_H151 zenon_H14a zenon_H14d zenon_H145 zenon_H86 zenon_H7d zenon_H132 zenon_H10b zenon_H144 zenon_H12f zenon_Hf8 zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H174 zenon_Hfd zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hda zenon_H1f zenon_H169 zenon_H7a zenon_Hf5 zenon_H64 zenon_H16e zenon_H173 zenon_Hd2 zenon_H240 zenon_H5e zenon_H44 zenon_H35 zenon_Hf2 zenon_H158 zenon_H152 zenon_H3c zenon_H51 zenon_Hc5 zenon_H177 zenon_H1cb zenon_H15a zenon_Hec zenon_H6f zenon_H3a zenon_H1e6 zenon_H1f8 zenon_H1f0 zenon_H56 zenon_H127.
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.45/10.65 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.45/10.65 apply (zenon_L1208_); trivial.
% 10.45/10.65 exact (zenon_H127 zenon_Hd0).
% 10.45/10.65 apply (zenon_L500_); trivial.
% 10.45/10.65 (* end of lemma zenon_L1220_ *)
% 10.45/10.65 assert (zenon_L1221_ : (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> ((~((op (e2) (e2)) = (e3)))\/(~((op (e2) (e3)) = (e2)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/(~((op (e0) (e3)) = (e0)))) -> (((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 (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> ((op (e3) (e1)) = (e1)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (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))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (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))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (op (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 (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 10.45/10.65 do 0 intro. intros zenon_H26 zenon_H67 zenon_H240 zenon_H4a zenon_H200 zenon_H204 zenon_H23f zenon_H97 zenon_Hc0 zenon_H216 zenon_H1cb zenon_Hec zenon_H1e6 zenon_H1f8 zenon_H1ef zenon_H169 zenon_He7 zenon_H5e zenon_H44 zenon_H35 zenon_Hf2 zenon_Hde zenon_H1f zenon_Hc1 zenon_H191 zenon_H64 zenon_H3c zenon_H42 zenon_H6f zenon_H1f0 zenon_H1ea zenon_Hd2 zenon_H127 zenon_Hdd zenon_H16b zenon_H53 zenon_H4c zenon_H95 zenon_H14d zenon_Hc6 zenon_H1dd zenon_H23d zenon_H168 zenon_H103 zenon_H159 zenon_H108 zenon_H165 zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H145 zenon_H86 zenon_H7d zenon_H132 zenon_Hc5 zenon_H10b zenon_H144 zenon_H12f zenon_Hf8 zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H174 zenon_Hfd zenon_H28 zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hda zenon_H7a zenon_Hf5 zenon_H16e zenon_H173 zenon_H177 zenon_H80.
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.45/10.65 apply (zenon_L1178_); trivial.
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.45/10.65 apply (zenon_L1213_); trivial.
% 10.45/10.65 apply (zenon_L1214_); trivial.
% 10.45/10.65 apply (zenon_L1215_); trivial.
% 10.45/10.65 apply (zenon_L1216_); trivial.
% 10.45/10.65 apply (zenon_L101_); trivial.
% 10.45/10.65 apply (zenon_L937_); trivial.
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.45/10.65 apply (zenon_L140_); trivial.
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.45/10.65 apply (zenon_L1054_); trivial.
% 10.45/10.65 apply (zenon_L1214_); trivial.
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.45/10.65 apply (zenon_L1219_); trivial.
% 10.45/10.65 apply (zenon_L1220_); trivial.
% 10.45/10.65 apply (zenon_L1211_); trivial.
% 10.45/10.65 exact (zenon_H80 zenon_H84).
% 10.45/10.65 (* end of lemma zenon_L1221_ *)
% 10.45/10.65 assert (zenon_L1222_ : ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> False).
% 10.45/10.65 do 0 intro. intros zenon_H1af zenon_H203 zenon_H191 zenon_Haf zenon_H192 zenon_H1f zenon_He8 zenon_Hde zenon_Hf2 zenon_H35 zenon_H44 zenon_H5e zenon_He7.
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.45/10.65 apply (zenon_L1052_); trivial.
% 10.45/10.65 exact (zenon_H203 zenon_H9a).
% 10.45/10.65 (* end of lemma zenon_L1222_ *)
% 10.45/10.65 assert (zenon_L1223_ : ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e1) = (e2))) -> (~((e0) = (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 (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> False).
% 10.45/10.65 do 0 intro. intros zenon_H1af zenon_H203 zenon_Hf8 zenon_H56 zenon_H1f0 zenon_Hf2 zenon_H6f zenon_H97 zenon_H4c zenon_H10b zenon_H26 zenon_Hde zenon_H35 zenon_H44 zenon_H192 zenon_H1f zenon_H191 zenon_He7 zenon_H28 zenon_H64 zenon_H12f zenon_H2a zenon_He8 zenon_H5e zenon_H100 zenon_H7d zenon_H80 zenon_H86 zenon_H145 zenon_H151.
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.45/10.65 apply (zenon_L1177_); trivial.
% 10.45/10.65 exact (zenon_H203 zenon_H9a).
% 10.45/10.65 (* end of lemma zenon_L1223_ *)
% 10.45/10.65 assert (zenon_L1224_ : ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> False).
% 10.45/10.65 do 0 intro. intros zenon_H1ef zenon_H169 zenon_H1af zenon_H203 zenon_H191 zenon_H1f zenon_He8 zenon_Hde zenon_Hf2 zenon_H35 zenon_H44 zenon_H5e zenon_He7 zenon_Hf8 zenon_H56 zenon_H1f0 zenon_H6f zenon_H97 zenon_H4c zenon_H10b zenon_H26 zenon_H28 zenon_H64 zenon_H12f zenon_H2a zenon_H7d zenon_H80 zenon_H86 zenon_H145 zenon_H151 zenon_H1ea.
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.45/10.65 apply (zenon_L1222_); trivial.
% 10.45/10.65 apply (zenon_L1223_); trivial.
% 10.45/10.65 apply (zenon_L140_); trivial.
% 10.45/10.65 (* end of lemma zenon_L1224_ *)
% 10.45/10.65 assert (zenon_L1225_ : ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (e2))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> False).
% 10.45/10.65 do 0 intro. intros zenon_H1ef zenon_H169 zenon_H1af zenon_H203 zenon_H191 zenon_H1f zenon_He8 zenon_Hde zenon_Hf2 zenon_H35 zenon_H44 zenon_H5e zenon_He7 zenon_H56 zenon_H1f0 zenon_H6f zenon_H42 zenon_H3a zenon_H3c zenon_H27 zenon_H64 zenon_H1ea.
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.45/10.65 apply (zenon_L1222_); trivial.
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.45/10.65 apply (zenon_L1053_); trivial.
% 10.45/10.65 exact (zenon_H203 zenon_H9a).
% 10.45/10.65 apply (zenon_L140_); trivial.
% 10.45/10.65 (* end of lemma zenon_L1225_ *)
% 10.45/10.65 assert (zenon_L1226_ : ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e3)) = (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 (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e3))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/(~((op (e0) (e3)) = (e0)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e2))) -> (((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 (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((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)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (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 (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/(~((op (e2) (e3)) = (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> False).
% 10.45/10.65 do 0 intro. intros zenon_H1ef zenon_H1af zenon_H203 zenon_H1f zenon_H68 zenon_H191 zenon_Hc6 zenon_H16b zenon_H80 zenon_H53 zenon_Hf2 zenon_H4c zenon_H95 zenon_H35 zenon_H23f zenon_H204 zenon_H200 zenon_H4a zenon_H23d zenon_H168 zenon_H103 zenon_H159 zenon_H108 zenon_H165 zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H44 zenon_H14d zenon_H145 zenon_H86 zenon_H7d zenon_H132 zenon_Hc5 zenon_H3c zenon_H10b zenon_H144 zenon_H12f zenon_Hf8 zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H174 zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hda zenon_H169 zenon_H7a zenon_Hf5 zenon_H64 zenon_H16e zenon_H173 zenon_Hd2 zenon_H240 zenon_H177 zenon_H5e zenon_Hfd zenon_H3a zenon_H6f zenon_H1ea.
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.45/10.65 apply (zenon_L1093_); trivial.
% 10.45/10.65 apply (zenon_L1210_); trivial.
% 10.45/10.65 apply (zenon_L140_); trivial.
% 10.45/10.65 (* end of lemma zenon_L1226_ *)
% 10.45/10.65 assert (zenon_L1227_ : (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (((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 (e0) (e0)) = (e3)))\/(~((op (e0) (e3)) = (e0)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/(~((op (e2) (e3)) = (e2)))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (e2)))) -> (((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (op (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 (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((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)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (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) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 10.45/10.65 do 0 intro. intros zenon_H26 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H67 zenon_H97 zenon_Hc0 zenon_H23f zenon_H204 zenon_H200 zenon_H4a zenon_Hd2 zenon_H240 zenon_H216 zenon_H1f8 zenon_H1e6 zenon_Hec zenon_H1cb zenon_H1ef zenon_H169 zenon_H1af zenon_H203 zenon_H191 zenon_H1f zenon_Hde zenon_Hf2 zenon_H35 zenon_H44 zenon_H5e zenon_He7 zenon_H1f0 zenon_H6f zenon_H42 zenon_H3c zenon_H64 zenon_H1ea zenon_H177 zenon_H173 zenon_H16e zenon_Hf5 zenon_H7a zenon_Hda zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_H28 zenon_Hfd zenon_H174 zenon_H156 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_Hf8 zenon_H12f zenon_H144 zenon_H10b zenon_Hc8 zenon_Hc5 zenon_H132 zenon_H7d zenon_H86 zenon_H145 zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H165 zenon_H108 zenon_H159 zenon_H103 zenon_H168 zenon_H23d zenon_H1dd zenon_Hc6 zenon_H14d zenon_H95 zenon_H4c zenon_H53 zenon_H16b zenon_Hdd zenon_H80.
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.45/10.65 apply (zenon_L1224_); trivial.
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.45/10.65 apply (zenon_L1185_); trivial.
% 10.45/10.65 exact (zenon_H203 zenon_H9a).
% 10.45/10.65 apply (zenon_L101_); trivial.
% 10.45/10.65 apply (zenon_L937_); trivial.
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.45/10.65 apply (zenon_L140_); trivial.
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.45/10.65 apply (zenon_L1225_); trivial.
% 10.45/10.65 apply (zenon_L1059_); trivial.
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.45/10.65 apply (zenon_L1222_); trivial.
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.45/10.65 apply (zenon_L1207_); trivial.
% 10.45/10.65 exact (zenon_H203 zenon_H9a).
% 10.45/10.65 apply (zenon_L140_); trivial.
% 10.45/10.65 apply (zenon_L1209_); trivial.
% 10.45/10.65 apply (zenon_L1226_); trivial.
% 10.45/10.65 exact (zenon_H80 zenon_H84).
% 10.45/10.65 (* end of lemma zenon_L1227_ *)
% 10.45/10.65 assert (zenon_L1228_ : ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e2) = (e3))) -> (~((e0) = (e3))) -> (((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 (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> False).
% 10.45/10.65 do 0 intro. intros zenon_H67 zenon_H132 zenon_H1ef zenon_H169 zenon_H1af zenon_H203 zenon_H191 zenon_H1f zenon_Hde zenon_Hf2 zenon_H35 zenon_H44 zenon_H5e zenon_He7 zenon_Hf8 zenon_H56 zenon_H1f0 zenon_H6f zenon_H97 zenon_H4c zenon_H10b zenon_H26 zenon_H28 zenon_H64 zenon_H12f zenon_H2a zenon_H7d zenon_H80 zenon_H86 zenon_H145 zenon_H151 zenon_H1ea zenon_H150 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_Hc6 zenon_H3a zenon_H14d zenon_H95 zenon_H53 zenon_H16b zenon_Hdd zenon_H168.
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.45/10.65 apply (zenon_L1224_); trivial.
% 10.45/10.65 apply (zenon_L1180_); trivial.
% 10.45/10.65 apply (zenon_L101_); trivial.
% 10.45/10.65 (* end of lemma zenon_L1228_ *)
% 10.45/10.65 assert (zenon_L1229_ : (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e3)))\/(~((op (e2) (e3)) = (e2)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/(~((op (e0) (e3)) = (e0)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (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 (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e2)) = (e3))))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (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))))) -> (~((e0) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (op (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 (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 10.45/10.65 do 0 intro. intros zenon_H26 zenon_H1c3 zenon_H1c0 zenon_H1bc zenon_H1ba zenon_H67 zenon_H216 zenon_H240 zenon_H4a zenon_H200 zenon_H204 zenon_H23f zenon_Hc0 zenon_H97 zenon_H1cb zenon_Hec zenon_H1e6 zenon_H1f8 zenon_H1ef zenon_H169 zenon_H1af zenon_H203 zenon_H191 zenon_H1f zenon_Hde zenon_Hf2 zenon_H35 zenon_H44 zenon_H5e zenon_He7 zenon_H1f0 zenon_H6f zenon_H42 zenon_H3c zenon_H64 zenon_H1ea zenon_Hd2 zenon_H127 zenon_Hdd zenon_H16b zenon_H53 zenon_H4c zenon_H95 zenon_H14d zenon_Hc6 zenon_H1dd zenon_H23d zenon_H168 zenon_H103 zenon_H159 zenon_H108 zenon_H165 zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H145 zenon_H86 zenon_H7d zenon_H132 zenon_Hc5 zenon_H10b zenon_H144 zenon_H12f zenon_Hf8 zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H174 zenon_Hfd zenon_H28 zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hda zenon_H7a zenon_Hf5 zenon_H16e zenon_H173 zenon_H177 zenon_H80.
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.45/10.65 apply (zenon_L1224_); trivial.
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.45/10.65 apply (zenon_L1213_); trivial.
% 10.45/10.65 apply (zenon_L1228_); trivial.
% 10.45/10.65 apply (zenon_L1215_); trivial.
% 10.45/10.65 apply (zenon_L1216_); trivial.
% 10.45/10.65 apply (zenon_L101_); trivial.
% 10.45/10.65 apply (zenon_L937_); trivial.
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.45/10.65 apply (zenon_L140_); trivial.
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.45/10.65 apply (zenon_L1225_); trivial.
% 10.45/10.65 apply (zenon_L1214_); trivial.
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.45/10.65 apply (zenon_L1222_); trivial.
% 10.45/10.65 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.45/10.65 apply (zenon_L1218_); trivial.
% 10.45/10.65 exact (zenon_H203 zenon_H9a).
% 10.45/10.65 apply (zenon_L140_); trivial.
% 10.45/10.65 apply (zenon_L1220_); trivial.
% 10.45/10.65 apply (zenon_L1226_); trivial.
% 10.45/10.65 exact (zenon_H80 zenon_H84).
% 10.45/10.65 (* end of lemma zenon_L1229_ *)
% 10.45/10.65 assert (zenon_L1230_ : ((op (e3) (e1)) = (e1)) -> ((op (e2) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> False).
% 10.45/10.65 do 0 intro. intros zenon_Hf2 zenon_H77 zenon_H114.
% 10.45/10.65 elim (classic ((op (e3) (e1)) = (op (e3) (e1)))); [ zenon_intro zenon_H115 | zenon_intro zenon_Hef ].
% 10.45/10.65 cut (((op (e3) (e1)) = (op (e3) (e1))) = ((op (e2) (e1)) = (op (e3) (e1)))).
% 10.45/10.65 intro zenon_D_pnotp.
% 10.45/10.65 apply zenon_H114.
% 10.45/10.65 rewrite <- zenon_D_pnotp.
% 10.45/10.65 exact zenon_H115.
% 10.45/10.65 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hef].
% 10.45/10.65 cut (((op (e3) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H116].
% 10.45/10.65 congruence.
% 10.45/10.65 cut (((op (e3) (e1)) = (e1)) = ((op (e3) (e1)) = (op (e2) (e1)))).
% 10.45/10.65 intro zenon_D_pnotp.
% 10.45/10.65 apply zenon_H116.
% 10.45/10.65 rewrite <- zenon_D_pnotp.
% 10.45/10.65 exact zenon_Hf2.
% 10.45/10.65 cut (((e1) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H111].
% 10.45/10.65 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hef].
% 10.45/10.65 congruence.
% 10.45/10.65 apply zenon_Hef. apply refl_equal.
% 10.45/10.65 apply zenon_H111. apply sym_equal. exact zenon_H77.
% 10.45/10.65 apply zenon_Hef. apply refl_equal.
% 10.45/10.65 apply zenon_Hef. apply refl_equal.
% 10.45/10.65 (* end of lemma zenon_L1230_ *)
% 10.45/10.65 assert (zenon_L1231_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((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) = (e1))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e3) (e3)) = (e0))) -> False).
% 10.45/10.66 do 0 intro. intros zenon_H8c zenon_H23e zenon_H80 zenon_H7f zenon_H7e zenon_H86 zenon_H7d zenon_H5e zenon_H8a zenon_H8d.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H43 | zenon_intro zenon_H8e ].
% 10.45/10.66 exact (zenon_H23e zenon_H43).
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H87 | zenon_intro zenon_H8f ].
% 10.45/10.66 apply (zenon_L26_); trivial.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H7b ].
% 10.45/10.66 apply (zenon_L27_); trivial.
% 10.45/10.66 exact (zenon_H8d zenon_H7b).
% 10.45/10.66 (* end of lemma zenon_L1231_ *)
% 10.45/10.66 assert (zenon_L1232_ : (((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)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((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) = (e1))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 10.45/10.66 do 0 intro. intros zenon_H90 zenon_H4c zenon_H74 zenon_H114 zenon_Hf2 zenon_H91 zenon_H8c zenon_H23e zenon_H80 zenon_H7f zenon_H7e zenon_H86 zenon_H7d zenon_H5e zenon_H8d.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H76 | zenon_intro zenon_H92 ].
% 10.45/10.66 apply (zenon_L21_); trivial.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H77 | zenon_intro zenon_H93 ].
% 10.45/10.66 apply (zenon_L1230_); trivial.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H94 | zenon_intro zenon_H8a ].
% 10.45/10.66 exact (zenon_H91 zenon_H94).
% 10.45/10.66 apply (zenon_L1231_); trivial.
% 10.45/10.66 (* end of lemma zenon_L1232_ *)
% 10.45/10.66 assert (zenon_L1233_ : ((op (e1) (e0)) = (e1)) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e3))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (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 (e3) (e1)) = (e1)) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (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))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((e0) = (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)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((e2) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (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))))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((e1) = (e3))) -> (((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 (e1) (e2)))) -> (~((e1) = (e2))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e3) (e3)) = (e2))) -> False).
% 10.45/10.66 do 0 intro. intros zenon_H15a zenon_H8d zenon_H7e zenon_H80 zenon_H23e zenon_H8c zenon_H91 zenon_H90 zenon_H177 zenon_Hf2 zenon_H173 zenon_H16e zenon_H64 zenon_Hf5 zenon_H7a zenon_H169 zenon_H5e zenon_H1f zenon_H16b zenon_Hda zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_H28 zenon_Hfd zenon_H174 zenon_H156 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_Hf8 zenon_H95 zenon_H12f zenon_H144 zenon_H10b zenon_H3c zenon_Hc8 zenon_Hc5 zenon_H132 zenon_H7d zenon_H86 zenon_H145 zenon_H14d zenon_H44 zenon_H53 zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H4c zenon_H165 zenon_H108 zenon_H159 zenon_H35 zenon_H103 zenon_H168 zenon_H23d zenon_H7f.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdb ].
% 10.45/10.66 exact (zenon_H28 zenon_H31).
% 10.45/10.66 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H6c | zenon_intro zenon_Hdc ].
% 10.45/10.66 apply (zenon_L236_); trivial.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H74 | zenon_intro zenon_Hbc ].
% 10.45/10.66 apply (zenon_L1232_); trivial.
% 10.45/10.66 apply (zenon_L1057_); trivial.
% 10.45/10.66 (* end of lemma zenon_L1233_ *)
% 10.45/10.66 assert (zenon_L1234_ : (~((op (e0) (e0)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (e0))) -> (((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)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (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))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (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)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((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))))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> False).
% 10.45/10.66 do 0 intro. intros zenon_H27 zenon_H1dd zenon_Hdd zenon_H28 zenon_H4c zenon_H15a zenon_H90 zenon_H23e zenon_H7d zenon_H80 zenon_H86 zenon_H5e zenon_H8c zenon_H91 zenon_Hf2 zenon_H114 zenon_H177 zenon_H173 zenon_H16e zenon_H64 zenon_Hf5 zenon_H7a zenon_H169 zenon_H1f zenon_H16b zenon_Hda zenon_H16f zenon_H118 zenon_H110 zenon_Hd3 zenon_Hfd zenon_H174 zenon_H156 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_Hf8 zenon_H12f zenon_H144 zenon_H10b zenon_H3c zenon_Hc8 zenon_Hc5 zenon_H132 zenon_H145 zenon_H14d zenon_H44 zenon_H53 zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H165 zenon_H108 zenon_H159 zenon_H103 zenon_H168 zenon_H23d zenon_H35 zenon_H95.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.45/10.66 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.45/10.66 apply (zenon_L1233_); trivial.
% 10.45/10.66 apply (zenon_L1183_); trivial.
% 10.45/10.66 apply (zenon_L207_); trivial.
% 10.45/10.66 apply (zenon_L1058_); trivial.
% 10.45/10.66 (* end of lemma zenon_L1234_ *)
% 10.45/10.66 assert (zenon_L1235_ : (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((e0) = (e1))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e2) (e2)) = (e0))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e2) (e2)) = (e3)))\/(~((op (e2) (e3)) = (e2)))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (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))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (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))))) -> (~((e0) = (e2))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/(~((op (e0) (e3)) = (e0)))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e1)) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e0))) -> False).
% 10.45/10.66 do 0 intro. intros zenon_H1dd zenon_H23e zenon_H56 zenon_H1f0 zenon_H6f zenon_H97 zenon_H91 zenon_Hc8 zenon_Hc0 zenon_He8 zenon_Hde zenon_H3a zenon_H216 zenon_H192 zenon_Hc1 zenon_H191 zenon_He7 zenon_H28 zenon_Hfd zenon_H5e zenon_H100 zenon_Hb1 zenon_H177 zenon_H240 zenon_Hd2 zenon_H173 zenon_H16e zenon_H64 zenon_Hf5 zenon_H7a zenon_H169 zenon_H1f zenon_Hda zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_H174 zenon_H156 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_Hf8 zenon_H12f zenon_H144 zenon_H10b zenon_H3c zenon_Hc5 zenon_H132 zenon_H7d zenon_H86 zenon_H145 zenon_H14d zenon_H44 zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H165 zenon_H108 zenon_H159 zenon_H103 zenon_H168 zenon_H23d zenon_H4a zenon_H200 zenon_H204 zenon_H23f zenon_H35 zenon_H95 zenon_H4c zenon_Hf2 zenon_H53 zenon_H80 zenon_H16b zenon_H25.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.45/10.66 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.45/10.66 exact (zenon_H25 zenon_H2a).
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.45/10.66 apply (zenon_L1198_); trivial.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.45/10.66 apply (zenon_L1204_); trivial.
% 10.45/10.66 exact (zenon_H23e zenon_H43).
% 10.45/10.66 apply (zenon_L1205_); trivial.
% 10.45/10.66 apply (zenon_L1058_); trivial.
% 10.45/10.66 (* end of lemma zenon_L1235_ *)
% 10.45/10.66 assert (zenon_L1236_ : (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> ((op (e2) (e3)) = (e1)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> False).
% 10.45/10.66 do 0 intro. intros zenon_H1b7 zenon_H23e zenon_H8a zenon_H181 zenon_H9b zenon_H187 zenon_H188.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H43 | zenon_intro zenon_H1b8 ].
% 10.45/10.66 exact (zenon_H23e zenon_H43).
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b9 ].
% 10.45/10.66 apply (zenon_L258_); trivial.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H47 | zenon_intro zenon_H57 ].
% 10.45/10.66 apply (zenon_L243_); trivial.
% 10.45/10.66 apply (zenon_L167_); trivial.
% 10.45/10.66 (* end of lemma zenon_L1236_ *)
% 10.45/10.66 assert (zenon_L1237_ : (((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)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> False).
% 10.45/10.66 do 0 intro. intros zenon_H90 zenon_H4c zenon_H74 zenon_H114 zenon_Hf2 zenon_H91 zenon_H1b7 zenon_H23e zenon_H181 zenon_H9b zenon_H187 zenon_H188.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H76 | zenon_intro zenon_H92 ].
% 10.45/10.66 apply (zenon_L21_); trivial.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H77 | zenon_intro zenon_H93 ].
% 10.45/10.66 apply (zenon_L1230_); trivial.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H94 | zenon_intro zenon_H8a ].
% 10.45/10.66 exact (zenon_H91 zenon_H94).
% 10.45/10.66 apply (zenon_L1236_); trivial.
% 10.45/10.66 (* end of lemma zenon_L1237_ *)
% 10.45/10.66 assert (zenon_L1238_ : (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e3) (e1)) = (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) (e2)) = (op (e3) (e2)))) -> (~((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) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> False).
% 10.45/10.66 do 0 intro. intros zenon_Hda zenon_H28 zenon_H187 zenon_H181 zenon_H23e zenon_H1b7 zenon_H91 zenon_Hf2 zenon_H114 zenon_H4c zenon_H90 zenon_H1e6 zenon_Hc1 zenon_H15a zenon_H1de zenon_H3a zenon_H155 zenon_Haf zenon_H35 zenon_Hae zenon_H1dd zenon_Hed.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdb ].
% 10.45/10.66 exact (zenon_H28 zenon_H31).
% 10.45/10.66 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H6c | zenon_intro zenon_Hdc ].
% 10.45/10.66 apply (zenon_L236_); trivial.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H74 | zenon_intro zenon_Hbc ].
% 10.45/10.66 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6a | zenon_intro zenon_Hb2 ].
% 10.45/10.66 apply (zenon_L238_); trivial.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb3 ].
% 10.45/10.66 exact (zenon_Haf zenon_Hb4).
% 10.45/10.66 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H6e | zenon_intro zenon_H9b ].
% 10.45/10.66 apply (zenon_L223_); trivial.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H6c | zenon_intro zenon_H1df ].
% 10.45/10.66 apply (zenon_L236_); trivial.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H1e0 ].
% 10.45/10.66 exact (zenon_Hc1 zenon_Hc4).
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H161 | zenon_intro zenon_H188 ].
% 10.45/10.66 apply (zenon_L282_); trivial.
% 10.45/10.66 apply (zenon_L1237_); trivial.
% 10.45/10.66 apply (zenon_L267_); trivial.
% 10.45/10.66 (* end of lemma zenon_L1238_ *)
% 10.45/10.66 assert (zenon_L1239_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (e0))) -> (((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)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (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))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (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)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((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))))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((e1) = (e2))) -> (~((e2) = (e3))) -> False).
% 10.45/10.66 do 0 intro. intros zenon_Hae zenon_Hc1 zenon_H1e6 zenon_H181 zenon_H187 zenon_H1b7 zenon_H1de zenon_H3a zenon_Haf zenon_H1dd zenon_H28 zenon_H4c zenon_H15a zenon_H90 zenon_H23e zenon_H7d zenon_H80 zenon_H86 zenon_H5e zenon_H8c zenon_H91 zenon_Hf2 zenon_H114 zenon_H177 zenon_H173 zenon_H16e zenon_H64 zenon_Hf5 zenon_H7a zenon_H169 zenon_H1f zenon_H16b zenon_Hda zenon_H16f zenon_H118 zenon_H110 zenon_Hd3 zenon_Hfd zenon_H174 zenon_H156 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_Hf8 zenon_H12f zenon_H144 zenon_H10b zenon_H3c zenon_Hc8 zenon_Hc5 zenon_H132 zenon_H145 zenon_H14d zenon_H44 zenon_H53 zenon_H14a zenon_H151 zenon_H152 zenon_H158 zenon_H165 zenon_H108 zenon_H159 zenon_H103 zenon_H168 zenon_H23d zenon_H35 zenon_H95.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.45/10.66 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.45/10.66 apply (zenon_L1233_); trivial.
% 10.45/10.66 apply (zenon_L1238_); trivial.
% 10.45/10.66 apply (zenon_L207_); trivial.
% 10.45/10.66 apply (zenon_L1058_); trivial.
% 10.45/10.66 (* end of lemma zenon_L1239_ *)
% 10.45/10.66 assert (zenon_L1240_ : ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (e0))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (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 (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e1))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((e1) = (e3))) -> (~((e2) = (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) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e3) (e3)) = (e3))) -> (((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 (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> False).
% 10.45/10.66 do 0 intro. intros zenon_H174 zenon_H4a zenon_H23e zenon_H1ef zenon_H169 zenon_H1f0 zenon_Hf2 zenon_H42 zenon_He7 zenon_H5e zenon_H44 zenon_H35 zenon_Hde zenon_H2a zenon_H26 zenon_H4c zenon_H95 zenon_H97 zenon_H3a zenon_H3c zenon_H1f zenon_Hc1 zenon_H191 zenon_H64 zenon_H150 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_Hc6 zenon_H14d zenon_H53 zenon_H80 zenon_H16b zenon_Hdd zenon_H168 zenon_H132 zenon_H67.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.45/10.66 apply (zenon_L1181_); trivial.
% 10.45/10.66 exact (zenon_H23e zenon_H43).
% 10.45/10.66 apply (zenon_L101_); trivial.
% 10.45/10.66 apply (zenon_L937_); trivial.
% 10.45/10.66 (* end of lemma zenon_L1240_ *)
% 10.45/10.66 assert (zenon_L1241_ : (((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) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/(~((op (e0) (e3)) = (e0)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e2))) -> (((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 (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((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)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (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 (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/(~((op (e2) (e3)) = (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((~((op (e1) (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)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 10.45/10.66 do 0 intro. intros zenon_H8c zenon_H90 zenon_H1de zenon_H1b7 zenon_H187 zenon_H181 zenon_H1e6 zenon_Hae zenon_H216 zenon_Hc0 zenon_Hc8 zenon_H97 zenon_H1f0 zenon_H23e zenon_H1dd zenon_H1ef zenon_H191 zenon_Hc1 zenon_H1f zenon_Hc6 zenon_H16b zenon_H53 zenon_Hf2 zenon_H4c zenon_H95 zenon_H35 zenon_H23f zenon_H204 zenon_H200 zenon_H4a zenon_H23d zenon_H168 zenon_H103 zenon_H159 zenon_H108 zenon_H165 zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H44 zenon_H14d zenon_H145 zenon_H86 zenon_H7d zenon_H132 zenon_Hc5 zenon_H3c zenon_H10b zenon_H144 zenon_H12f zenon_Hf8 zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H174 zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hda zenon_H169 zenon_H7a zenon_Hf5 zenon_H64 zenon_H16e zenon_H173 zenon_Hd2 zenon_H240 zenon_H177 zenon_H5e zenon_Hfd zenon_H6f zenon_H1ea zenon_Hde zenon_He7 zenon_H42 zenon_H26 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_Hdd zenon_H67 zenon_H80.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.45/10.66 apply (zenon_L1178_); trivial.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.45/10.66 apply (zenon_L1234_); trivial.
% 10.45/10.66 apply (zenon_L1182_); trivial.
% 10.45/10.66 exact (zenon_H23e zenon_H43).
% 10.45/10.66 apply (zenon_L101_); trivial.
% 10.45/10.66 apply (zenon_L937_); trivial.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.45/10.66 apply (zenon_L140_); trivial.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.45/10.66 apply (zenon_L1217_); trivial.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.45/10.66 apply (zenon_L1235_); trivial.
% 10.45/10.66 apply (zenon_L500_); trivial.
% 10.45/10.66 apply (zenon_L321_); trivial.
% 10.45/10.66 apply (zenon_L140_); trivial.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.45/10.66 apply (zenon_L1239_); trivial.
% 10.45/10.66 apply (zenon_L500_); trivial.
% 10.45/10.66 apply (zenon_L123_); trivial.
% 10.45/10.66 exact (zenon_H23e zenon_H43).
% 10.45/10.66 apply (zenon_L1211_); trivial.
% 10.45/10.66 apply (zenon_L1240_); trivial.
% 10.45/10.66 exact (zenon_H80 zenon_H84).
% 10.45/10.66 (* end of lemma zenon_L1241_ *)
% 10.45/10.66 assert (zenon_L1242_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> (((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) (e0)) = (op (e0) (e2)))) -> (((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)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (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) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (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 (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (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)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (e2))) -> False).
% 10.45/10.66 do 0 intro. intros zenon_Hd2 zenon_H127 zenon_H95 zenon_H35 zenon_H23d zenon_H168 zenon_H103 zenon_H159 zenon_H108 zenon_H165 zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H53 zenon_H44 zenon_H14d zenon_H145 zenon_H132 zenon_Hc5 zenon_H3c zenon_H10b zenon_H144 zenon_H12f zenon_Hf8 zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H174 zenon_Hfd zenon_Hd3 zenon_H110 zenon_H118 zenon_H16f zenon_Hda zenon_H16b zenon_H1f zenon_H169 zenon_H7a zenon_Hf5 zenon_H64 zenon_H16e zenon_H173 zenon_H177 zenon_H114 zenon_Hf2 zenon_H91 zenon_H8c zenon_H5e zenon_H86 zenon_H80 zenon_H7d zenon_H23e zenon_H90 zenon_H15a zenon_H4c zenon_H28 zenon_Hdd zenon_H1dd zenon_H27.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.45/10.66 apply (zenon_L1234_); trivial.
% 10.45/10.66 exact (zenon_H127 zenon_Hd0).
% 10.45/10.66 (* end of lemma zenon_L1242_ *)
% 10.45/10.66 assert (zenon_L1243_ : ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> (((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) (e0)) = (op (e0) (e2)))) -> (((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)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (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) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (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 (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (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)) = (e1)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> ((op (e1) (e0)) = (e1)) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> False).
% 10.45/10.66 do 0 intro. intros zenon_H1ea zenon_Hd2 zenon_H127 zenon_H95 zenon_H35 zenon_H23d zenon_H168 zenon_H103 zenon_H159 zenon_H108 zenon_H165 zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H53 zenon_H44 zenon_H14d zenon_H145 zenon_H132 zenon_Hc5 zenon_H3c zenon_H10b zenon_H144 zenon_H12f zenon_Hf8 zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H174 zenon_Hfd zenon_Hd3 zenon_H110 zenon_H118 zenon_H16f zenon_Hda zenon_H16b zenon_H1f zenon_H169 zenon_H7a zenon_Hf5 zenon_H64 zenon_H16e zenon_H173 zenon_H177 zenon_H114 zenon_Hf2 zenon_H8c zenon_H5e zenon_H86 zenon_H80 zenon_H7d zenon_H23e zenon_H90 zenon_H15a zenon_H4c zenon_H28 zenon_H1dd zenon_H3a zenon_H1de zenon_H1b7 zenon_H187 zenon_H181 zenon_H1e6 zenon_Hc1 zenon_Hae zenon_H216.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.45/10.66 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.45/10.66 apply (zenon_L1239_); trivial.
% 10.45/10.66 exact (zenon_H127 zenon_Hd0).
% 10.45/10.66 apply (zenon_L500_); trivial.
% 10.45/10.66 apply (zenon_L123_); trivial.
% 10.45/10.66 (* end of lemma zenon_L1243_ *)
% 10.45/10.66 assert (zenon_L1244_ : (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e2) (e3)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((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 (e2) (e1)) = (op (e2) (e2)))) -> (~((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e3))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> (~((e1) = (e2))) -> ((~((op (e0) (e0)) = (e3)))\/(~((op (e0) (e3)) = (e0)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e2))) -> (((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 (e1) (e3)) = (op (e3) (e3)))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((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)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (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 (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/(~((op (e2) (e3)) = (e2)))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((e0) = (e1))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((~((op (e1) (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)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((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 (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 10.45/10.66 do 0 intro. intros zenon_Hae zenon_H1e6 zenon_H181 zenon_H187 zenon_H1b7 zenon_H1de zenon_H90 zenon_H8c zenon_H1dd zenon_H23e zenon_H1f0 zenon_H97 zenon_Hc0 zenon_H216 zenon_H127 zenon_H1ef zenon_H191 zenon_Hc1 zenon_H1f zenon_Hc6 zenon_H16b zenon_H53 zenon_Hf2 zenon_H4c zenon_H95 zenon_H35 zenon_H23f zenon_H204 zenon_H200 zenon_H4a zenon_H23d zenon_H168 zenon_H103 zenon_H159 zenon_H108 zenon_H165 zenon_H158 zenon_H152 zenon_H151 zenon_H14a zenon_H44 zenon_H14d zenon_H145 zenon_H86 zenon_H7d zenon_H132 zenon_Hc5 zenon_H3c zenon_H10b zenon_H144 zenon_H12f zenon_Hf8 zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H174 zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hda zenon_H169 zenon_H7a zenon_Hf5 zenon_H64 zenon_H16e zenon_H173 zenon_Hd2 zenon_H240 zenon_H177 zenon_H5e zenon_Hfd zenon_H6f zenon_H1ea zenon_Hde zenon_He7 zenon_H42 zenon_H26 zenon_H1ba zenon_H1bc zenon_H1c0 zenon_H1c3 zenon_Hdd zenon_H67 zenon_H80.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.45/10.66 apply (zenon_L1178_); trivial.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.45/10.66 apply (zenon_L1242_); trivial.
% 10.45/10.66 apply (zenon_L1215_); trivial.
% 10.45/10.66 exact (zenon_H23e zenon_H43).
% 10.45/10.66 apply (zenon_L101_); trivial.
% 10.45/10.66 apply (zenon_L937_); trivial.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.45/10.66 apply (zenon_L140_); trivial.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.45/10.66 apply (zenon_L1217_); trivial.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.45/10.66 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.45/10.66 apply (zenon_L1235_); trivial.
% 10.45/10.66 exact (zenon_H127 zenon_Hd0).
% 10.45/10.66 apply (zenon_L500_); trivial.
% 10.45/10.66 apply (zenon_L321_); trivial.
% 10.45/10.66 apply (zenon_L140_); trivial.
% 10.45/10.66 apply (zenon_L1243_); trivial.
% 10.45/10.66 exact (zenon_H23e zenon_H43).
% 10.45/10.66 apply (zenon_L1211_); trivial.
% 10.45/10.66 apply (zenon_L1240_); trivial.
% 10.45/10.66 exact (zenon_H80 zenon_H84).
% 10.45/10.66 (* end of lemma zenon_L1244_ *)
% 10.45/10.66 assert (zenon_L1245_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e2))) -> ((op (e0) (e2)) = (e3)) -> (~((op (e2) (e2)) = (e0))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (e3) (e3)) = (e1))) -> (~((op (e3) (e3)) = (e2))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 10.45/10.66 do 0 intro. intros zenon_H145 zenon_H2a zenon_H12f zenon_He8 zenon_Hc8 zenon_Hc7 zenon_H52 zenon_Hb1 zenon_Hc5 zenon_H7d zenon_H86 zenon_H7e zenon_H7f zenon_H80.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H69 | zenon_intro zenon_H146 ].
% 10.45/10.66 apply (zenon_L100_); trivial.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Heb | zenon_intro zenon_H147 ].
% 10.45/10.66 exact (zenon_He8 zenon_Heb).
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H101 | zenon_intro zenon_H87 ].
% 10.45/10.66 apply (zenon_L108_); trivial.
% 10.45/10.66 apply (zenon_L26_); trivial.
% 10.45/10.66 (* end of lemma zenon_L1245_ *)
% 10.45/10.66 assert (zenon_L1246_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((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) (e3)) = (e1))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> ((op (e0) (e3)) = (e3)) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 10.45/10.66 do 0 intro. intros zenon_H8c zenon_H23e zenon_H80 zenon_H7f zenon_H86 zenon_H7d zenon_H7e zenon_H5e zenon_H203 zenon_H57 zenon_H4c zenon_Hab zenon_H8d.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H43 | zenon_intro zenon_H8e ].
% 10.45/10.66 exact (zenon_H23e zenon_H43).
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H87 | zenon_intro zenon_H8f ].
% 10.45/10.66 apply (zenon_L26_); trivial.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H7b ].
% 10.45/10.66 apply (zenon_L1101_); trivial.
% 10.45/10.66 exact (zenon_H8d zenon_H7b).
% 10.45/10.66 (* end of lemma zenon_L1246_ *)
% 10.45/10.66 assert (zenon_L1247_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (op (e1) (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 (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 (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((e2) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (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)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e1))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> ((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) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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) (e2)) = (e0))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e3))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> False).
% 10.45/10.66 do 0 intro. intros zenon_H177 zenon_H173 zenon_H16e zenon_Hf5 zenon_H7a zenon_H169 zenon_H16b zenon_Hda zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_Hfd zenon_H174 zenon_H156 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_H144 zenon_H132 zenon_H14d zenon_H53 zenon_H14a zenon_H152 zenon_H158 zenon_H165 zenon_H108 zenon_H159 zenon_H103 zenon_H168 zenon_H23d zenon_H95 zenon_H1dd zenon_Hf8 zenon_H56 zenon_H1f0 zenon_H3c zenon_H10b zenon_H64 zenon_H28 zenon_He7 zenon_H5e zenon_H191 zenon_Hc1 zenon_H1f zenon_H192 zenon_H44 zenon_H35 zenon_Hf2 zenon_Hde zenon_He8 zenon_H2a zenon_H26 zenon_H145 zenon_H86 zenon_H80 zenon_H7d zenon_Hb1 zenon_Hc7 zenon_Hc8 zenon_Hc5 zenon_H12f zenon_H8c zenon_H4c zenon_H203 zenon_Hab zenon_H23e zenon_H97 zenon_H151.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.45/10.66 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H31 | zenon_intro zenon_H98 ].
% 10.45/10.66 exact (zenon_H28 zenon_H31).
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ].
% 10.45/10.66 apply (zenon_L1174_); trivial.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H52 | zenon_intro zenon_H57 ].
% 10.45/10.66 apply (zenon_L1245_); trivial.
% 10.45/10.66 apply (zenon_L1246_); trivial.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.45/10.66 exact (zenon_H56 zenon_H2c).
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.45/10.66 apply (zenon_L327_); trivial.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.45/10.66 apply (zenon_L103_); trivial.
% 10.45/10.66 apply (zenon_L1175_); trivial.
% 10.45/10.66 apply (zenon_L207_); trivial.
% 10.45/10.66 apply (zenon_L1058_); trivial.
% 10.45/10.66 (* end of lemma zenon_L1247_ *)
% 10.45/10.66 assert (zenon_L1248_ : (((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)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e1) (e3)) = (e1))) -> (~((e0) = (e1))) -> ((op (e2) (e3)) = (e0)) -> (~((op (e3) (e3)) = (e1))) -> False).
% 10.45/10.66 do 0 intro. intros zenon_Hab zenon_Hf2 zenon_Hec zenon_H91 zenon_H159 zenon_H15a zenon_H1cb zenon_H103 zenon_H203 zenon_H5e zenon_H89 zenon_H7e.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H62 | zenon_intro zenon_Hac ].
% 10.45/10.66 apply (zenon_L264_); trivial.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H9a | zenon_intro zenon_Had ].
% 10.45/10.66 exact (zenon_H203 zenon_H9a).
% 10.45/10.66 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H8a | zenon_intro zenon_H83 ].
% 10.45/10.66 apply (zenon_L27_); trivial.
% 10.45/10.66 exact (zenon_H7e zenon_H83).
% 10.45/10.66 (* end of lemma zenon_L1248_ *)
% 10.45/10.66 assert (zenon_L1249_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((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) (e3)) = (e1))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (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 (e3) (e3)) = (e0))) -> False).
% 10.45/10.66 do 0 intro. intros zenon_H8c zenon_H23e zenon_H80 zenon_H7f zenon_H86 zenon_H7d zenon_H7e zenon_H5e zenon_H203 zenon_H103 zenon_H1cb zenon_H15a zenon_H159 zenon_H91 zenon_Hec zenon_Hf2 zenon_Hab zenon_H8d.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H43 | zenon_intro zenon_H8e ].
% 10.45/10.66 exact (zenon_H23e zenon_H43).
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H87 | zenon_intro zenon_H8f ].
% 10.45/10.66 apply (zenon_L26_); trivial.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H7b ].
% 10.45/10.66 apply (zenon_L1248_); trivial.
% 10.45/10.66 exact (zenon_H8d zenon_H7b).
% 10.45/10.66 (* end of lemma zenon_L1249_ *)
% 10.45/10.66 assert (zenon_L1250_ : (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e3)) = (e1))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 10.45/10.66 do 0 intro. intros zenon_Hab zenon_H1cb zenon_H5d zenon_H203 zenon_H188 zenon_H187 zenon_H9b zenon_H181 zenon_H23e zenon_H1b7 zenon_H7e.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H62 | zenon_intro zenon_Hac ].
% 10.45/10.66 apply (zenon_L229_); trivial.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H9a | zenon_intro zenon_Had ].
% 10.45/10.66 exact (zenon_H203 zenon_H9a).
% 10.45/10.66 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_H8a | zenon_intro zenon_H83 ].
% 10.45/10.66 apply (zenon_L1236_); trivial.
% 10.45/10.66 exact (zenon_H7e zenon_H83).
% 10.45/10.66 (* end of lemma zenon_L1250_ *)
% 10.45/10.66 assert (zenon_L1251_ : (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> ((op (e1) (e3)) = (e2)) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> ((op (e1) (e3)) = (e3)) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> False).
% 10.45/10.66 do 0 intro. intros zenon_H103 zenon_H7e zenon_H1b7 zenon_H23e zenon_H181 zenon_H9b zenon_H187 zenon_H188 zenon_H203 zenon_H1cb zenon_Hab zenon_H15a zenon_H159 zenon_H91 zenon_Hec zenon_Hf2.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H5d | zenon_intro zenon_H104 ].
% 10.45/10.66 apply (zenon_L1250_); trivial.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_H100 | zenon_intro zenon_H105 ].
% 10.45/10.66 apply (zenon_L123_); trivial.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H94 | zenon_intro zenon_Hf3 ].
% 10.45/10.66 exact (zenon_H91 zenon_H94).
% 10.45/10.66 apply (zenon_L263_); trivial.
% 10.45/10.66 (* end of lemma zenon_L1251_ *)
% 10.45/10.66 assert (zenon_L1252_ : (((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 (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> False).
% 10.45/10.66 do 0 intro. intros zenon_Hae zenon_H35 zenon_Haf zenon_H155 zenon_H3a zenon_H1de zenon_H4c zenon_Hc1 zenon_H1e6 zenon_Hed zenon_H103 zenon_H7e zenon_H1b7 zenon_H23e zenon_H181 zenon_H187 zenon_H203 zenon_H1cb zenon_Hab zenon_H15a zenon_H159 zenon_H91 zenon_Hec zenon_Hf2.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6a | zenon_intro zenon_Hb2 ].
% 10.45/10.66 apply (zenon_L238_); trivial.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb3 ].
% 10.45/10.66 exact (zenon_Haf zenon_Hb4).
% 10.45/10.66 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H6e | zenon_intro zenon_H9b ].
% 10.45/10.66 apply (zenon_L223_); trivial.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H6c | zenon_intro zenon_H1df ].
% 10.45/10.66 apply (zenon_L236_); trivial.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H1e0 ].
% 10.45/10.66 exact (zenon_Hc1 zenon_Hc4).
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H161 | zenon_intro zenon_H188 ].
% 10.45/10.66 apply (zenon_L282_); trivial.
% 10.45/10.66 apply (zenon_L1251_); trivial.
% 10.45/10.66 (* end of lemma zenon_L1252_ *)
% 10.45/10.66 assert (zenon_L1253_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (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) (e3)) = (e0))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.45/10.66 do 0 intro. intros zenon_H151 zenon_H8c zenon_H8d zenon_H103 zenon_Hf2 zenon_Hec zenon_H91 zenon_H15a zenon_H159 zenon_H1cb zenon_H203 zenon_H5e zenon_Hab zenon_H86 zenon_H80 zenon_H7d zenon_H23e zenon_Hae zenon_H4c zenon_Hc1 zenon_H1e6 zenon_H1b7 zenon_H187 zenon_H181 zenon_H1de zenon_H3a zenon_H155 zenon_Haf zenon_H35 zenon_Hf8.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.45/10.66 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.45/10.66 apply (zenon_L1249_); trivial.
% 10.45/10.66 apply (zenon_L1252_); trivial.
% 10.45/10.66 apply (zenon_L207_); trivial.
% 10.45/10.66 (* end of lemma zenon_L1253_ *)
% 10.45/10.66 assert (zenon_L1254_ : ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (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 (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (e0))) -> (((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)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> False).
% 10.45/10.66 do 0 intro. intros zenon_H150 zenon_H1ba zenon_H2a zenon_H1bc zenon_Hc6 zenon_H1c0 zenon_H1c3 zenon_Hf8 zenon_H35 zenon_Haf zenon_H155 zenon_H3a zenon_H1de zenon_H181 zenon_H187 zenon_H1b7 zenon_H1e6 zenon_Hc1 zenon_H4c zenon_Hae zenon_H23e zenon_H7d zenon_H80 zenon_H86 zenon_Hab zenon_H5e zenon_H203 zenon_H1cb zenon_H159 zenon_H15a zenon_H91 zenon_Hec zenon_Hf2 zenon_H103 zenon_H8c zenon_H151.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.45/10.66 apply (zenon_L1253_); trivial.
% 10.45/10.66 apply (zenon_L1179_); trivial.
% 10.45/10.66 (* end of lemma zenon_L1254_ *)
% 10.45/10.66 assert (zenon_L1255_ : (((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 (e1) (e3)) = (e1))) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e1))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (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 (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (~((e1) = (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 (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((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 (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))) -> False).
% 10.45/10.66 do 0 intro. intros zenon_H145 zenon_H12f zenon_He8 zenon_H203 zenon_H5e zenon_H192 zenon_H150 zenon_H1ba zenon_H2a zenon_H1bc zenon_Hc6 zenon_H1c0 zenon_H1c3 zenon_Hf8 zenon_H35 zenon_Haf zenon_H155 zenon_H3a zenon_H1de zenon_H181 zenon_H187 zenon_H1b7 zenon_H1e6 zenon_Hc1 zenon_H4c zenon_Hae zenon_H23e zenon_Hab zenon_H1cb zenon_H159 zenon_H91 zenon_Hec zenon_Hf2 zenon_H103 zenon_H8c zenon_H151 zenon_H238 zenon_H7d zenon_H86 zenon_H7e zenon_H7f zenon_H80.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H69 | zenon_intro zenon_H146 ].
% 10.45/10.66 apply (zenon_L100_); trivial.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_Heb | zenon_intro zenon_H147 ].
% 10.45/10.66 exact (zenon_He8 zenon_Heb).
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H101 | zenon_intro zenon_H87 ].
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H15a | zenon_intro zenon_H23a ].
% 10.45/10.66 apply (zenon_L1254_); trivial.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1d | zenon_intro zenon_H23b ].
% 10.45/10.66 exact (zenon_H192 zenon_H1d).
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H100 | zenon_intro zenon_H9a ].
% 10.45/10.66 apply (zenon_L71_); trivial.
% 10.45/10.66 exact (zenon_H203 zenon_H9a).
% 10.45/10.66 apply (zenon_L26_); trivial.
% 10.45/10.66 (* end of lemma zenon_L1255_ *)
% 10.45/10.66 assert (zenon_L1256_ : (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (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 (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (e0))) -> (((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)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> False).
% 10.45/10.66 do 0 intro. intros zenon_H145 zenon_H150 zenon_H1ba zenon_H1bc zenon_Hc6 zenon_H1c0 zenon_H1c3 zenon_Hf8 zenon_H35 zenon_Haf zenon_H155 zenon_H3a zenon_H1de zenon_H181 zenon_H187 zenon_H1b7 zenon_H1e6 zenon_Hc1 zenon_H4c zenon_Hae zenon_H23e zenon_H7d zenon_H80 zenon_H86 zenon_Hab zenon_H5e zenon_H203 zenon_H1cb zenon_H159 zenon_H91 zenon_Hec zenon_Hf2 zenon_H103 zenon_H8c zenon_H151 zenon_H192 zenon_H238 zenon_He8 zenon_H2a zenon_H12f zenon_H132 zenon_H6f zenon_H3c zenon_H10b zenon_H144.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.45/10.66 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.45/10.66 apply (zenon_L1255_); trivial.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H15a | zenon_intro zenon_H23a ].
% 10.45/10.66 apply (zenon_L1252_); trivial.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1d | zenon_intro zenon_H23b ].
% 10.45/10.66 exact (zenon_H192 zenon_H1d).
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H100 | zenon_intro zenon_H9a ].
% 10.45/10.66 apply (zenon_L303_); trivial.
% 10.45/10.66 exact (zenon_H203 zenon_H9a).
% 10.45/10.66 apply (zenon_L207_); trivial.
% 10.45/10.66 (* end of lemma zenon_L1256_ *)
% 10.45/10.66 assert (zenon_L1257_ : ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e1)) = (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 (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (~((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 (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (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) (e3)) = (e0))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (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 (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> False).
% 10.45/10.66 do 0 intro. intros zenon_H157 zenon_H216 zenon_H144 zenon_H10b zenon_H3c zenon_H6f zenon_H132 zenon_H12f zenon_H2a zenon_He8 zenon_H238 zenon_H192 zenon_H151 zenon_H8c zenon_H103 zenon_Hf2 zenon_Hec zenon_H159 zenon_H1cb zenon_H203 zenon_H5e zenon_Hab zenon_H86 zenon_H80 zenon_H7d zenon_H23e zenon_Hae zenon_H4c zenon_Hc1 zenon_H1e6 zenon_H1b7 zenon_H187 zenon_H181 zenon_H1de zenon_H3a zenon_H155 zenon_Haf zenon_H35 zenon_Hf8 zenon_H1c3 zenon_H1c0 zenon_Hc6 zenon_H1bc zenon_H1ba zenon_H150 zenon_H145.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.45/10.66 apply (zenon_L1256_); trivial.
% 10.45/10.66 apply (zenon_L500_); trivial.
% 10.45/10.66 (* end of lemma zenon_L1257_ *)
% 10.45/10.66 assert (zenon_L1258_ : (((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))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e3)) = (e1))) -> False).
% 10.45/10.66 do 0 intro. intros zenon_H238 zenon_H76 zenon_H1bc zenon_H192 zenon_H6f zenon_H5d zenon_H203.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H15a | zenon_intro zenon_H23a ].
% 10.45/10.66 apply (zenon_L217_); trivial.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1d | zenon_intro zenon_H23b ].
% 10.45/10.66 exact (zenon_H192 zenon_H1d).
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H100 | zenon_intro zenon_H9a ].
% 10.45/10.66 apply (zenon_L228_); trivial.
% 10.45/10.66 exact (zenon_H203 zenon_H9a).
% 10.45/10.66 (* end of lemma zenon_L1258_ *)
% 10.45/10.66 assert (zenon_L1259_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e3)) = (e1))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (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))))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False).
% 10.45/10.66 do 0 intro. intros zenon_H1b4 zenon_H56 zenon_Hed zenon_H1dd zenon_Hcf zenon_H95 zenon_H4c zenon_H28 zenon_Hda zenon_H203 zenon_H5d zenon_H6f zenon_H192 zenon_H1bc zenon_H238 zenon_Hf2 zenon_Hbb.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 10.45/10.66 exact (zenon_H56 zenon_H2c).
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 10.45/10.66 apply (zenon_L306_); trivial.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 10.45/10.66 apply (zenon_L1258_); trivial.
% 10.45/10.66 apply (zenon_L387_); trivial.
% 10.45/10.66 (* end of lemma zenon_L1259_ *)
% 10.45/10.66 assert (zenon_L1260_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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 (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e0) (e0)) = (e0)) -> (~((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)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (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))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((op (e2) (e0)) = (e2)) -> (~((e2) = (e3))) -> (~((e1) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.45/10.66 do 0 intro. intros zenon_H151 zenon_H145 zenon_H86 zenon_H80 zenon_H7d zenon_H155 zenon_H91 zenon_Hc7 zenon_Hc8 zenon_Hc5 zenon_He8 zenon_H2a zenon_H12f zenon_H64 zenon_He7 zenon_H5e zenon_H191 zenon_Hc1 zenon_H1f zenon_H44 zenon_H35 zenon_Hde zenon_H26 zenon_H10b zenon_H97 zenon_Hda zenon_H1dd zenon_Hcf zenon_H95 zenon_H4c zenon_H28 zenon_H238 zenon_H203 zenon_H6f zenon_H192 zenon_H1bc zenon_Hbb zenon_H1b4 zenon_Hf2 zenon_H1f0 zenon_H56 zenon_Hf8.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.45/10.66 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.45/10.66 apply (zenon_L119_); trivial.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.45/10.66 exact (zenon_H56 zenon_H2c).
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.45/10.66 apply (zenon_L327_); trivial.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.45/10.66 apply (zenon_L1259_); trivial.
% 10.45/10.66 apply (zenon_L1175_); trivial.
% 10.45/10.66 apply (zenon_L207_); trivial.
% 10.45/10.66 (* end of lemma zenon_L1260_ *)
% 10.45/10.66 assert (zenon_L1261_ : (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((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) (e3)) = (e1))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> ((op (e0) (e3)) = (e2)) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 10.45/10.66 do 0 intro. intros zenon_H8c zenon_H23e zenon_H80 zenon_H7f zenon_H86 zenon_H7d zenon_H7e zenon_H5e zenon_H203 zenon_H47 zenon_H35 zenon_Hab zenon_H8d.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H43 | zenon_intro zenon_H8e ].
% 10.45/10.66 exact (zenon_H23e zenon_H43).
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H87 | zenon_intro zenon_H8f ].
% 10.45/10.66 apply (zenon_L26_); trivial.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H89 | zenon_intro zenon_H7b ].
% 10.45/10.66 apply (zenon_L1095_); trivial.
% 10.45/10.66 exact (zenon_H8d zenon_H7b).
% 10.45/10.66 (* end of lemma zenon_L1261_ *)
% 10.45/10.66 assert (zenon_L1262_ : (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((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) (e3)) = (e1))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 10.45/10.66 do 0 intro. intros zenon_H42 zenon_H27 zenon_H44 zenon_H68 zenon_H3c zenon_H3a zenon_H8c zenon_H23e zenon_H80 zenon_H7f zenon_H86 zenon_H7d zenon_H7e zenon_H5e zenon_H203 zenon_H35 zenon_Hab zenon_H8d.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H32 | zenon_intro zenon_H45 ].
% 10.45/10.66 exact (zenon_H27 zenon_H32).
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ].
% 10.45/10.66 apply (zenon_L16_); trivial.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_H47 ].
% 10.45/10.66 apply (zenon_L5_); trivial.
% 10.45/10.66 apply (zenon_L1261_); trivial.
% 10.45/10.66 (* end of lemma zenon_L1262_ *)
% 10.45/10.66 assert (zenon_L1263_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (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))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (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)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e3))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((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))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((e2) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((op (e1) (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 (e0) (e0)) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (e0)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((op (e1) (e3)) = (e1))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (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) (e3)) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e1)) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> False).
% 10.45/10.66 do 0 intro. intros zenon_H177 zenon_H173 zenon_H16e zenon_H64 zenon_Hf5 zenon_H7a zenon_H169 zenon_H1f zenon_H16b zenon_Hda zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_H28 zenon_H174 zenon_H156 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H132 zenon_H145 zenon_H14d zenon_H53 zenon_H14a zenon_H152 zenon_H158 zenon_H165 zenon_H108 zenon_H159 zenon_H103 zenon_H168 zenon_H23d zenon_H95 zenon_H1dd zenon_Hf8 zenon_Hfd zenon_H6f zenon_H100 zenon_H10b zenon_H144 zenon_H27 zenon_H44 zenon_H68 zenon_H3c zenon_H3a zenon_H8c zenon_H35 zenon_H203 zenon_H5e zenon_Hab zenon_H86 zenon_H80 zenon_H7d zenon_H23e zenon_H42 zenon_H4c zenon_Hf2 zenon_H151.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.45/10.66 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.45/10.66 apply (zenon_L1262_); trivial.
% 10.45/10.66 apply (zenon_L345_); trivial.
% 10.45/10.66 apply (zenon_L207_); trivial.
% 10.45/10.66 apply (zenon_L1058_); trivial.
% 10.45/10.66 (* end of lemma zenon_L1263_ *)
% 10.45/10.66 assert (zenon_L1264_ : ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e3)) = (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)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (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))))) -> (~((op (e0) (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 (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((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))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((e2) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((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))))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (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) (e3)) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e1)) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> False).
% 10.45/10.66 do 0 intro. intros zenon_H67 zenon_H1ef zenon_H1af zenon_H203 zenon_H1f zenon_H68 zenon_H191 zenon_H177 zenon_H173 zenon_H16e zenon_H64 zenon_Hf5 zenon_H7a zenon_H169 zenon_H16b zenon_Hda zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_H174 zenon_H156 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H132 zenon_H145 zenon_H14d zenon_H53 zenon_H14a zenon_H152 zenon_H158 zenon_H165 zenon_H108 zenon_H159 zenon_H103 zenon_H168 zenon_H23d zenon_H95 zenon_H1dd zenon_Hf8 zenon_Hfd zenon_H6f zenon_H10b zenon_H144 zenon_H44 zenon_H3c zenon_H3a zenon_H8c zenon_H35 zenon_H5e zenon_Hab zenon_H86 zenon_H80 zenon_H7d zenon_H23e zenon_H42 zenon_H4c zenon_Hf2 zenon_H151 zenon_H1ea zenon_H4a.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.45/10.66 apply (zenon_L1093_); trivial.
% 10.45/10.66 apply (zenon_L1263_); trivial.
% 10.45/10.66 apply (zenon_L140_); trivial.
% 10.45/10.66 exact (zenon_H23e zenon_H43).
% 10.45/10.66 apply (zenon_L69_); trivial.
% 10.45/10.66 (* end of lemma zenon_L1264_ *)
% 10.45/10.66 assert (zenon_L1265_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (e0))) -> (((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)) = (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) (e2)) = (e2)) -> (~((op (e0) (e2)) = (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 (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((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) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (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 (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (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 (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (e1))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> ((op (e0) (e1)) = (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 (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e3) (e1)) = (e1)) -> False).
% 10.45/10.66 do 0 intro. intros zenon_He7 zenon_H4a zenon_H1ea zenon_H151 zenon_H4c zenon_H42 zenon_H23e zenon_H7d zenon_H80 zenon_H86 zenon_Hab zenon_H8c zenon_H3a zenon_H3c zenon_H144 zenon_H10b zenon_H6f zenon_Hfd zenon_Hf8 zenon_H1dd zenon_H95 zenon_H23d zenon_H168 zenon_H103 zenon_H159 zenon_H108 zenon_H165 zenon_H158 zenon_H152 zenon_H14a zenon_H53 zenon_H14d zenon_H145 zenon_H132 zenon_Hc5 zenon_Hc8 zenon_H12f zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H174 zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hda zenon_H16b zenon_H169 zenon_H7a zenon_Hf5 zenon_H64 zenon_H16e zenon_H173 zenon_H177 zenon_H203 zenon_H1af zenon_H1ef zenon_H67 zenon_H35 zenon_H44 zenon_H4b zenon_H191 zenon_He8 zenon_H192 zenon_H1f zenon_Hc1 zenon_Hde zenon_H5e zenon_Hf2.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H68 | zenon_intro zenon_He9 ].
% 10.45/10.66 apply (zenon_L1264_); trivial.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Heb | zenon_intro zenon_Hea ].
% 10.45/10.66 exact (zenon_He8 zenon_Heb).
% 10.45/10.66 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H78 | zenon_intro zenon_He5 ].
% 10.45/10.66 apply (zenon_L765_); trivial.
% 10.45/10.66 apply (zenon_L206_); trivial.
% 10.45/10.66 (* end of lemma zenon_L1265_ *)
% 10.45/10.66 assert (zenon_L1266_ : (((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) (e2)) = (e0))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (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))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((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 (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (((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 (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (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) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((op (e3) (e1)) = (e1)) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((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 (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (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))))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (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) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e3)) = (e0))) -> (~((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) (e3)) = (e1))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e3) (e3)) = (e0))) -> False).
% 10.45/10.66 do 0 intro. intros zenon_H97 zenon_H28 zenon_H67 zenon_H1ef zenon_H1af zenon_H173 zenon_H16e zenon_H64 zenon_Hf5 zenon_H7a zenon_H169 zenon_Hda zenon_H16f zenon_H118 zenon_H110 zenon_Hd3 zenon_H174 zenon_H156 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_H12f zenon_H132 zenon_H145 zenon_H53 zenon_H14a zenon_H165 zenon_H108 zenon_H159 zenon_H103 zenon_H168 zenon_H23d zenon_H1dd zenon_Hf8 zenon_H6f zenon_H144 zenon_H42 zenon_H151 zenon_H1ea zenon_H4a zenon_Hf2 zenon_Hde zenon_H1f zenon_H192 zenon_He8 zenon_H191 zenon_H14d zenon_H158 zenon_H152 zenon_H3c zenon_H51 zenon_H91 zenon_Hc8 zenon_Hc5 zenon_H44 zenon_H16b zenon_H95 zenon_H114 zenon_H10b zenon_H177 zenon_Hc1 zenon_Hc0 zenon_H216 zenon_H3a zenon_H35 zenon_Hfd zenon_He7 zenon_H8c zenon_H23e zenon_H80 zenon_H7f zenon_H86 zenon_H7d zenon_H7e zenon_H5e zenon_H203 zenon_H4c zenon_Hab zenon_H8d.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H31 | zenon_intro zenon_H98 ].
% 10.45/10.66 exact (zenon_H28 zenon_H31).
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ].
% 10.45/10.66 apply (zenon_L1265_); trivial.
% 10.45/10.66 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H52 | zenon_intro zenon_H57 ].
% 10.45/10.66 apply (zenon_L1203_); trivial.
% 10.45/10.66 apply (zenon_L1246_); trivial.
% 10.45/10.67 (* end of lemma zenon_L1266_ *)
% 10.45/10.67 assert (zenon_L1267_ : (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (e0))) -> (~((op (e0) (e0)) = (e2))) -> (~((op (e3) (e3)) = (e0))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e1) = (e3))) -> (~((op (e1) (e3)) = (e1))) -> (~((e0) = (e1))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (~((op (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) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((e1) = (e2))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((e2) = (e3))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e0) = (e2))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((op (e1) (e1)) = (e0))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e3) (e1)) = (e1)) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (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 (e1) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (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) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (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 (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> False).
% 10.45/10.67 do 0 intro. intros zenon_H200 zenon_H25 zenon_H27 zenon_H8d zenon_Hab zenon_H4c zenon_H203 zenon_H5e zenon_H7e zenon_H7d zenon_H86 zenon_H7f zenon_H80 zenon_H8c zenon_He7 zenon_Hfd zenon_H35 zenon_H3a zenon_H216 zenon_Hc0 zenon_Hc1 zenon_H177 zenon_H10b zenon_H114 zenon_H95 zenon_H16b zenon_H44 zenon_Hc5 zenon_Hc8 zenon_H91 zenon_H3c zenon_H152 zenon_H158 zenon_H14d zenon_H191 zenon_He8 zenon_H192 zenon_H1f zenon_Hde zenon_Hf2 zenon_H4a zenon_H1ea zenon_H151 zenon_H42 zenon_H144 zenon_H6f zenon_Hf8 zenon_H1dd zenon_H23d zenon_H168 zenon_H103 zenon_H159 zenon_H108 zenon_H165 zenon_H14a zenon_H53 zenon_H145 zenon_H132 zenon_H12f zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H174 zenon_Hd3 zenon_H110 zenon_H118 zenon_H16f zenon_Hda zenon_H169 zenon_H7a zenon_Hf5 zenon_H64 zenon_H16e zenon_H173 zenon_H1af zenon_H1ef zenon_H67 zenon_H28 zenon_H97 zenon_H23e.
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.45/10.67 exact (zenon_H25 zenon_H2a).
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.45/10.67 apply (zenon_L1262_); trivial.
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.45/10.67 apply (zenon_L1266_); trivial.
% 10.45/10.67 exact (zenon_H23e zenon_H43).
% 10.45/10.67 (* end of lemma zenon_L1267_ *)
% 10.45/10.67 assert (zenon_L1268_ : (((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 (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((e1) = (e3))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> ((op (e3) (e2)) = (e3)) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e3) (e3)) = (e1))) -> False).
% 10.45/10.67 do 0 intro. intros zenon_Hae zenon_H35 zenon_Haf zenon_H155 zenon_H3a zenon_H1de zenon_H4c zenon_H15a zenon_Hc1 zenon_H1e6 zenon_Hed zenon_Hab zenon_H1cb zenon_H5d zenon_H203 zenon_H187 zenon_H181 zenon_H23e zenon_H1b7 zenon_H7e.
% 10.45/10.67 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6a | zenon_intro zenon_Hb2 ].
% 10.45/10.67 apply (zenon_L238_); trivial.
% 10.45/10.67 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb3 ].
% 10.45/10.67 exact (zenon_Haf zenon_Hb4).
% 10.45/10.67 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_H6e | zenon_intro zenon_H9b ].
% 10.45/10.67 apply (zenon_L223_); trivial.
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H6c | zenon_intro zenon_H1df ].
% 10.45/10.67 apply (zenon_L236_); trivial.
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H1e0 ].
% 10.45/10.67 exact (zenon_Hc1 zenon_Hc4).
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H161 | zenon_intro zenon_H188 ].
% 10.45/10.67 apply (zenon_L282_); trivial.
% 10.45/10.67 apply (zenon_L1250_); trivial.
% 10.45/10.67 (* end of lemma zenon_L1268_ *)
% 10.45/10.67 assert (zenon_L1269_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> ((op (e3) (e2)) = (e3)) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e2))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (e1))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (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))))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False).
% 10.45/10.67 do 0 intro. intros zenon_H1b4 zenon_H56 zenon_H7e zenon_H1b7 zenon_H23e zenon_H181 zenon_H187 zenon_H1cb zenon_Hab zenon_Hed zenon_H1e6 zenon_Hc1 zenon_H4c zenon_H1de zenon_H3a zenon_H155 zenon_Haf zenon_H35 zenon_Hae zenon_H203 zenon_H5d zenon_H6f zenon_H192 zenon_H1bc zenon_H238 zenon_Hf2 zenon_Hbb.
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 10.45/10.67 exact (zenon_H56 zenon_H2c).
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 10.45/10.67 apply (zenon_L1268_); trivial.
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 10.45/10.67 apply (zenon_L1258_); trivial.
% 10.45/10.67 apply (zenon_L387_); trivial.
% 10.45/10.67 (* end of lemma zenon_L1269_ *)
% 10.45/10.67 assert (zenon_L1270_ : (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((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 (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (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 (e3) (e3)) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e3) (e1)) = (e1)) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (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))))) -> (~((e0) = (e2))) -> (~((e1) = (e2))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (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))))) -> (~((op (e0) (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 (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((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))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((e2) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (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) (e2)) = (op (e2) (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 (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (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) (e3)) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (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 (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> False).
% 10.45/10.67 do 0 intro. intros zenon_H1f0 zenon_H238 zenon_H1bc zenon_Hae zenon_Haf zenon_H1de zenon_H1e6 zenon_H1cb zenon_H187 zenon_H181 zenon_H1b7 zenon_H7e zenon_H56 zenon_H1b4 zenon_H97 zenon_H28 zenon_Hf2 zenon_H5e zenon_Hde zenon_Hc1 zenon_H1f zenon_H192 zenon_He8 zenon_H191 zenon_H44 zenon_H35 zenon_H67 zenon_H1ef zenon_H1af zenon_H203 zenon_H177 zenon_H173 zenon_H16e zenon_H64 zenon_Hf5 zenon_H7a zenon_H169 zenon_H16b zenon_Hda zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_H174 zenon_H156 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H132 zenon_H145 zenon_H14d zenon_H53 zenon_H14a zenon_H152 zenon_H158 zenon_H165 zenon_H108 zenon_H159 zenon_H103 zenon_H168 zenon_H23d zenon_H95 zenon_H1dd zenon_Hf8 zenon_Hfd zenon_H6f zenon_H144 zenon_H3c zenon_H3a zenon_H8c zenon_Hab zenon_H86 zenon_H80 zenon_H7d zenon_H23e zenon_H42 zenon_H151 zenon_H1ea zenon_H4a zenon_He7 zenon_H10b zenon_Hed zenon_H4c.
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.45/10.67 exact (zenon_H56 zenon_H2c).
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.45/10.67 apply (zenon_L327_); trivial.
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.45/10.67 apply (zenon_L1269_); trivial.
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H31 | zenon_intro zenon_H98 ].
% 10.45/10.67 exact (zenon_H28 zenon_H31).
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ].
% 10.45/10.67 apply (zenon_L1265_); trivial.
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H52 | zenon_intro zenon_H57 ].
% 10.45/10.67 apply (zenon_L75_); trivial.
% 10.45/10.67 apply (zenon_L13_); trivial.
% 10.45/10.67 (* end of lemma zenon_L1270_ *)
% 10.45/10.67 assert (zenon_L1271_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (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))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (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)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((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))))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((e2) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((e1) = (e2))) -> (~((op (e1) (e1)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (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 (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e1) (e1)) = (e3))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (e0))) -> (((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)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> False).
% 10.45/10.67 do 0 intro. intros zenon_H177 zenon_H173 zenon_H16e zenon_H64 zenon_Hf5 zenon_H7a zenon_H169 zenon_H1f zenon_H16b zenon_Hda zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_H28 zenon_Hfd zenon_H174 zenon_H156 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_H12f zenon_H144 zenon_H10b zenon_H3c zenon_Hc8 zenon_Hc5 zenon_H132 zenon_H145 zenon_H14d zenon_H44 zenon_H53 zenon_H14a zenon_H152 zenon_H158 zenon_H165 zenon_H108 zenon_H168 zenon_H23d zenon_H95 zenon_H1dd zenon_Hf8 zenon_H35 zenon_Haf zenon_H155 zenon_H3a zenon_H1de zenon_H181 zenon_H187 zenon_H1b7 zenon_H1e6 zenon_Hc1 zenon_H4c zenon_Hae zenon_H23e zenon_H7d zenon_H80 zenon_H86 zenon_Hab zenon_H5e zenon_H203 zenon_H1cb zenon_H159 zenon_H15a zenon_H91 zenon_Hec zenon_Hf2 zenon_H103 zenon_H8c zenon_H151.
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.45/10.67 apply (zenon_L1253_); trivial.
% 10.45/10.67 apply (zenon_L1058_); trivial.
% 10.45/10.67 (* end of lemma zenon_L1271_ *)
% 10.45/10.67 assert (zenon_L1272_ : ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (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) (e3)) = (e0))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> (((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) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (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 (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (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 (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> False).
% 10.45/10.67 do 0 intro. intros zenon_H1ea zenon_H216 zenon_H151 zenon_H8c zenon_H103 zenon_Hf2 zenon_Hec zenon_H15a zenon_H159 zenon_H1cb zenon_H203 zenon_H5e zenon_Hab zenon_H86 zenon_H80 zenon_H7d zenon_H23e zenon_Hae zenon_H4c zenon_H1e6 zenon_H1b7 zenon_H187 zenon_H181 zenon_H1de zenon_H3a zenon_H155 zenon_H35 zenon_Hf8 zenon_H1dd zenon_H95 zenon_H23d zenon_H168 zenon_H108 zenon_H165 zenon_H158 zenon_H152 zenon_H14a zenon_H53 zenon_H44 zenon_H14d zenon_H145 zenon_H132 zenon_Hc5 zenon_Hc8 zenon_H3c zenon_H10b zenon_H144 zenon_H12f zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H156 zenon_H174 zenon_Hfd zenon_H28 zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hda zenon_H16b zenon_H1f zenon_H169 zenon_H7a zenon_Hf5 zenon_H64 zenon_H16e zenon_H173 zenon_H177 zenon_H1af.
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.45/10.67 apply (zenon_L1271_); trivial.
% 10.45/10.67 apply (zenon_L500_); trivial.
% 10.45/10.67 exact (zenon_H203 zenon_H9a).
% 10.45/10.67 apply (zenon_L123_); trivial.
% 10.45/10.67 (* end of lemma zenon_L1272_ *)
% 10.45/10.67 assert (zenon_L1273_ : (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e1)) = (e1))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e1) (e1)) = (e0))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (e0))) -> (((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)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((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) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (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 (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (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 (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (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) (e3)) = (e1))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e0) (e2)) = (e0)) -> (~((op (e3) (e3)) = (e1))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> False).
% 10.45/10.67 do 0 intro. intros zenon_H56 zenon_H1f0 zenon_H100 zenon_H28 zenon_He7 zenon_Hc1 zenon_H192 zenon_Hde zenon_He8 zenon_H4a zenon_H1ea zenon_H151 zenon_Hf2 zenon_H4c zenon_H42 zenon_H23e zenon_H7d zenon_H80 zenon_H86 zenon_Hab zenon_H5e zenon_H35 zenon_H8c zenon_H3a zenon_H3c zenon_H44 zenon_H144 zenon_H10b zenon_H6f zenon_Hfd zenon_Hf8 zenon_H1dd zenon_H95 zenon_H23d zenon_H168 zenon_H103 zenon_H159 zenon_H108 zenon_H165 zenon_H158 zenon_H152 zenon_H14a zenon_H53 zenon_H14d zenon_H145 zenon_H132 zenon_Hc5 zenon_Hc8 zenon_H12f zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H174 zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hda zenon_H16b zenon_H169 zenon_H7a zenon_Hf5 zenon_H64 zenon_H16e zenon_H173 zenon_H177 zenon_H191 zenon_H1f zenon_H203 zenon_H1af zenon_H1ef zenon_H67 zenon_Hc0 zenon_H91 zenon_H8d zenon_H216 zenon_H51 zenon_H7e zenon_H97.
% 10.45/10.67 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.45/10.67 apply (zenon_L1266_); trivial.
% 10.45/10.67 apply (zenon_L1205_); trivial.
% 10.45/10.67 (* end of lemma zenon_L1273_ *)
% 10.45/10.67 assert (zenon_L1274_ : ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((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 (e1) (e2)) = (e1)) -> (~((e0) = (e1))) -> (~((op (e1) (e1)) = (e0))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((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)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> False).
% 10.45/10.67 do 0 intro. intros zenon_H151 zenon_Hf2 zenon_H4c zenon_H145 zenon_H86 zenon_H80 zenon_H7d zenon_H100 zenon_H5e zenon_He8 zenon_H2a zenon_H12f zenon_H144 zenon_H10b zenon_H3a zenon_H3c zenon_H6f zenon_H132 zenon_Hf8.
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.45/10.67 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.45/10.67 apply (zenon_L225_); trivial.
% 10.45/10.67 apply (zenon_L303_); trivial.
% 10.45/10.67 apply (zenon_L207_); trivial.
% 10.45/10.67 (* end of lemma zenon_L1274_ *)
% 10.45/10.67 assert (zenon_L1275_ : ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e1)) = (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 (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((op (e0) (e0)) = (e0)) -> (((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 (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e3)) = (e1))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (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) (e3)) = (e0))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((e1) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (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 (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> False).
% 10.45/10.67 do 0 intro. intros zenon_H168 zenon_H1ea zenon_H157 zenon_H216 zenon_H144 zenon_H10b zenon_H3c zenon_H6f zenon_H132 zenon_H12f zenon_H2a zenon_H238 zenon_H151 zenon_H8c zenon_H103 zenon_Hf2 zenon_Hec zenon_H159 zenon_H1cb zenon_H203 zenon_H5e zenon_Hab zenon_H86 zenon_H80 zenon_H7d zenon_H23e zenon_Hae zenon_H4c zenon_H1e6 zenon_H1b7 zenon_H187 zenon_H181 zenon_H1de zenon_H3a zenon_H155 zenon_H35 zenon_Hf8 zenon_H1c3 zenon_H1c0 zenon_Hc6 zenon_H1bc zenon_H1ba zenon_H150 zenon_H145 zenon_H1af zenon_H169 zenon_H1ef.
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.45/10.67 apply (zenon_L1257_); trivial.
% 10.45/10.67 exact (zenon_H203 zenon_H9a).
% 10.45/10.67 apply (zenon_L1274_); trivial.
% 10.45/10.67 apply (zenon_L140_); trivial.
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.45/10.67 apply (zenon_L1254_); trivial.
% 10.45/10.67 apply (zenon_L500_); trivial.
% 10.45/10.67 exact (zenon_H203 zenon_H9a).
% 10.45/10.67 apply (zenon_L123_); trivial.
% 10.45/10.67 (* end of lemma zenon_L1275_ *)
% 10.45/10.67 assert (zenon_L1276_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (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 (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((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) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((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)) = (e2)))\/((op (e0) (e2)) = (e0))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (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) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (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))))) -> (~((op (e0) (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 (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((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))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((e2) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((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))))) -> (~((e1) = (e3))) -> ((op (e3) (e1)) = (e1)) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 10.45/10.67 do 0 intro. intros zenon_Hdd zenon_H26 zenon_H1f0 zenon_H1b4 zenon_H1bc zenon_H238 zenon_H1de zenon_H1cb zenon_H1b7 zenon_H187 zenon_H181 zenon_H1e6 zenon_Hae zenon_H42 zenon_H23e zenon_H7d zenon_H86 zenon_Hab zenon_H5e zenon_H203 zenon_H35 zenon_H8c zenon_H3c zenon_H44 zenon_H97 zenon_H216 zenon_Hc0 zenon_H67 zenon_H1ef zenon_H1af zenon_H1f zenon_H191 zenon_H177 zenon_H173 zenon_H16e zenon_H64 zenon_Hf5 zenon_H7a zenon_H169 zenon_H16b zenon_Hda zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_H174 zenon_H156 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_H12f zenon_Hc8 zenon_Hc5 zenon_H132 zenon_H145 zenon_H14d zenon_H53 zenon_H14a zenon_H152 zenon_H158 zenon_H165 zenon_H108 zenon_H159 zenon_H103 zenon_H168 zenon_H23d zenon_H95 zenon_H1dd zenon_Hf8 zenon_Hfd zenon_H6f zenon_H10b zenon_H144 zenon_H4c zenon_Hf2 zenon_H151 zenon_H1ea zenon_H4a zenon_Hde zenon_He7 zenon_H200 zenon_Hec zenon_H1c3 zenon_H1c0 zenon_Hc6 zenon_H1ba zenon_H204 zenon_H80.
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.45/10.67 apply (zenon_L1247_); trivial.
% 10.45/10.67 apply (zenon_L1257_); trivial.
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.45/10.67 apply (zenon_L1260_); trivial.
% 10.45/10.67 apply (zenon_L321_); trivial.
% 10.45/10.67 apply (zenon_L79_); trivial.
% 10.45/10.67 exact (zenon_H203 zenon_H9a).
% 10.45/10.67 apply (zenon_L1223_); trivial.
% 10.45/10.67 apply (zenon_L140_); trivial.
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.45/10.67 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.45/10.67 apply (zenon_L1249_); trivial.
% 10.45/10.67 apply (zenon_L1183_); trivial.
% 10.45/10.67 apply (zenon_L207_); trivial.
% 10.45/10.67 apply (zenon_L1058_); trivial.
% 10.45/10.67 apply (zenon_L1182_); trivial.
% 10.45/10.67 exact (zenon_H23e zenon_H43).
% 10.45/10.67 apply (zenon_L101_); trivial.
% 10.45/10.67 apply (zenon_L937_); trivial.
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.45/10.67 apply (zenon_L140_); trivial.
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.45/10.67 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.45/10.67 apply (zenon_L1267_); trivial.
% 10.45/10.67 apply (zenon_L1270_); trivial.
% 10.45/10.67 apply (zenon_L207_); trivial.
% 10.45/10.67 apply (zenon_L1058_); trivial.
% 10.45/10.67 apply (zenon_L500_); trivial.
% 10.45/10.67 exact (zenon_H203 zenon_H9a).
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.45/10.67 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.45/10.67 apply (zenon_L1267_); trivial.
% 10.45/10.67 apply (zenon_L1205_); trivial.
% 10.45/10.67 apply (zenon_L207_); trivial.
% 10.45/10.67 apply (zenon_L1058_); trivial.
% 10.45/10.67 apply (zenon_L500_); trivial.
% 10.45/10.67 exact (zenon_H203 zenon_H9a).
% 10.45/10.67 apply (zenon_L140_); trivial.
% 10.45/10.67 apply (zenon_L1272_); trivial.
% 10.45/10.67 exact (zenon_H23e zenon_H43).
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.45/10.67 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.45/10.67 apply (zenon_L1266_); trivial.
% 10.45/10.67 apply (zenon_L1270_); trivial.
% 10.45/10.67 apply (zenon_L207_); trivial.
% 10.45/10.67 apply (zenon_L1058_); trivial.
% 10.45/10.67 apply (zenon_L500_); trivial.
% 10.45/10.67 exact (zenon_H203 zenon_H9a).
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.45/10.67 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.45/10.67 apply (zenon_L1273_); trivial.
% 10.45/10.67 apply (zenon_L207_); trivial.
% 10.45/10.67 apply (zenon_L1058_); trivial.
% 10.45/10.67 apply (zenon_L500_); trivial.
% 10.45/10.67 exact (zenon_H203 zenon_H9a).
% 10.45/10.67 apply (zenon_L140_); trivial.
% 10.45/10.67 apply (zenon_L1272_); trivial.
% 10.45/10.67 exact (zenon_H23e zenon_H43).
% 10.45/10.67 apply (zenon_L1264_); trivial.
% 10.45/10.67 apply (zenon_L1275_); trivial.
% 10.45/10.67 exact (zenon_H80 zenon_H84).
% 10.45/10.67 (* end of lemma zenon_L1276_ *)
% 10.45/10.67 assert (zenon_L1277_ : ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (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 (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((op (e1) (e3)) = (e1))) -> (~((e1) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (e0))) -> (((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 (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> ((op (e0) (e0)) = (e0)) -> (~((op (e1) (e1)) = (e0))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e2))) -> (~((e0) = (e2))) -> (~((op (e1) (e1)) = (e1))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((op (e0) (e0)) = (e3))) -> (((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/((op (e0) (e3)) = (e1))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e3))) -> (((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (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 (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (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 (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> False).
% 10.45/10.67 do 0 intro. intros zenon_Hd2 zenon_H127 zenon_H151 zenon_H97 zenon_H23e zenon_Hab zenon_H203 zenon_H4c zenon_H8c zenon_H12f zenon_Hc5 zenon_Hc7 zenon_Hb1 zenon_H7d zenon_H80 zenon_H86 zenon_H145 zenon_H26 zenon_H2a zenon_He8 zenon_Hde zenon_Hf2 zenon_H35 zenon_H44 zenon_H192 zenon_H1f zenon_Hc1 zenon_H191 zenon_H5e zenon_He7 zenon_H28 zenon_H64 zenon_H10b zenon_H3c zenon_H1f0 zenon_H56 zenon_Hf8 zenon_H1dd zenon_H95 zenon_H23d zenon_H168 zenon_H103 zenon_H159 zenon_H108 zenon_H165 zenon_H158 zenon_H152 zenon_H14a zenon_H53 zenon_H14d zenon_H132 zenon_H144 zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H174 zenon_Hfd zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hda zenon_H16b zenon_H169 zenon_H7a zenon_Hf5 zenon_H16e zenon_H173 zenon_H177.
% 10.45/10.67 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.45/10.67 apply (zenon_L1247_); trivial.
% 10.45/10.67 exact (zenon_H127 zenon_Hd0).
% 10.45/10.67 (* end of lemma zenon_L1277_ *)
% 10.45/10.67 assert (zenon_L1278_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (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))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e2)) = (e3))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((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))))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((e1) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (((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)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e2) (e2)) = (e1))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> False).
% 10.45/10.67 do 0 intro. intros zenon_H177 zenon_H173 zenon_H16e zenon_H64 zenon_Hf5 zenon_H7a zenon_H169 zenon_H1f zenon_H16b zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_Hfd zenon_H174 zenon_H156 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_H12f zenon_H144 zenon_H10b zenon_H3c zenon_Hc8 zenon_Hc5 zenon_H132 zenon_H145 zenon_H14d zenon_H44 zenon_H53 zenon_H14a zenon_H152 zenon_H158 zenon_H165 zenon_H108 zenon_H168 zenon_H23d zenon_H35 zenon_Hf8 zenon_H28 zenon_H4c zenon_H95 zenon_Hcf zenon_H1dd zenon_Hda zenon_H23e zenon_H7d zenon_H80 zenon_H86 zenon_Hab zenon_H5e zenon_H203 zenon_H1cb zenon_H159 zenon_H15a zenon_H91 zenon_Hec zenon_Hf2 zenon_H103 zenon_H8c zenon_H151.
% 10.45/10.68 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.45/10.68 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.45/10.68 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.45/10.68 apply (zenon_L1249_); trivial.
% 10.45/10.68 apply (zenon_L306_); trivial.
% 10.45/10.68 apply (zenon_L207_); trivial.
% 10.45/10.68 apply (zenon_L1058_); trivial.
% 10.45/10.68 (* end of lemma zenon_L1278_ *)
% 10.45/10.68 assert (zenon_L1279_ : (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (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))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e1)) = (op (e1) (e1)))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((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))))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((e1) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e0)) = (e3))) -> (~((e1) = (e3))) -> (~((e2) = (e3))) -> ((op (e2) (e0)) = (e2)) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e0) (e3)) = (e0))) -> (((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)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> False).
% 10.45/10.68 do 0 intro. intros zenon_H177 zenon_H173 zenon_H16e zenon_H64 zenon_Hf5 zenon_H7a zenon_H169 zenon_H1f zenon_H16b zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_Hfd zenon_H174 zenon_H156 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_H12f zenon_H144 zenon_H10b zenon_H3c zenon_Hc5 zenon_H132 zenon_H145 zenon_H14d zenon_H44 zenon_H53 zenon_H14a zenon_H152 zenon_H158 zenon_H165 zenon_H108 zenon_H168 zenon_H23d zenon_H35 zenon_Hf8 zenon_H28 zenon_H4c zenon_H95 zenon_Hcf zenon_H1dd zenon_Hda zenon_H23e zenon_H7d zenon_H80 zenon_H86 zenon_Hab zenon_H5e zenon_H203 zenon_H1cb zenon_H159 zenon_H15a zenon_Hec zenon_Hf2 zenon_H103 zenon_H8c zenon_H151 zenon_H127 zenon_Hd2.
% 10.45/10.68 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.45/10.68 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.45/10.68 apply (zenon_L1278_); trivial.
% 10.45/10.68 exact (zenon_H127 zenon_Hd0).
% 10.45/10.68 apply (zenon_L79_); trivial.
% 10.45/10.68 (* end of lemma zenon_L1279_ *)
% 10.45/10.68 assert (zenon_L1280_ : (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e0) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (((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)) = (e1))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (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) (e3)) = (e0))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (~((op (e1) (e1)) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e1) (e1)) = (e2))) -> (~((e1) = (e2))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e3))) -> (~((e0) = (e2))) -> (((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) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e2) (e2)) = (e3))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (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 (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (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 (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e1) (e3)) = (e1))) -> ((op (e0) (e2)) = (e1)) -> (~((op (e0) (e2)) = (op (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))))) -> ((op (e3) (e1)) = (e1)) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> False).
% 10.45/10.68 do 0 intro. intros zenon_H1b4 zenon_H56 zenon_H151 zenon_H8c zenon_H103 zenon_Hec zenon_H91 zenon_H159 zenon_H1cb zenon_H5e zenon_Hab zenon_H86 zenon_H80 zenon_H7d zenon_H23e zenon_Hae zenon_H4c zenon_Hc1 zenon_H1e6 zenon_H1b7 zenon_H187 zenon_H181 zenon_H1de zenon_H3a zenon_H155 zenon_Haf zenon_H35 zenon_Hf8 zenon_H1dd zenon_H95 zenon_H23d zenon_H168 zenon_H108 zenon_H165 zenon_H158 zenon_H152 zenon_H14a zenon_H53 zenon_H44 zenon_H14d zenon_H145 zenon_H132 zenon_Hc5 zenon_Hc8 zenon_H3c zenon_H10b zenon_H144 zenon_H12f zenon_H150 zenon_H157 zenon_H112 zenon_H156 zenon_H174 zenon_Hfd zenon_H28 zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hda zenon_H16b zenon_H1f zenon_H169 zenon_H7a zenon_Hf5 zenon_H64 zenon_H16e zenon_H173 zenon_H177 zenon_H203 zenon_H5d zenon_H6f zenon_H192 zenon_H1bc zenon_H238 zenon_Hf2 zenon_Hbb.
% 10.45/10.68 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b5 ].
% 10.45/10.68 exact (zenon_H56 zenon_H2c).
% 10.45/10.68 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H15a | zenon_intro zenon_H1b6 ].
% 10.45/10.68 apply (zenon_L1271_); trivial.
% 10.45/10.68 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H76 | zenon_intro zenon_Hf0 ].
% 10.45/10.68 apply (zenon_L1258_); trivial.
% 10.45/10.68 apply (zenon_L387_); trivial.
% 10.45/10.68 (* end of lemma zenon_L1280_ *)
% 10.45/10.68 assert (zenon_L1281_ : ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e3)) = (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 (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> ((op (e3) (e1)) = (e1)) -> (~((e1) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (e0))) -> (((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)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((e1) = (e2))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (~((e0) = (e2))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((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) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (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 (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (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 (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> False).
% 10.45/10.68 do 0 intro. intros zenon_H67 zenon_H1ef zenon_H1af zenon_H203 zenon_H1f zenon_H68 zenon_H191 zenon_Hd2 zenon_H127 zenon_H151 zenon_Hf2 zenon_H4c zenon_H42 zenon_H23e zenon_H7d zenon_H80 zenon_H86 zenon_Hab zenon_H5e zenon_H35 zenon_H8c zenon_H3a zenon_H3c zenon_H44 zenon_H144 zenon_H10b zenon_H6f zenon_Hfd zenon_Hf8 zenon_H1dd zenon_H95 zenon_H23d zenon_H168 zenon_H103 zenon_H159 zenon_H108 zenon_H165 zenon_H158 zenon_H152 zenon_H14a zenon_H53 zenon_H14d zenon_H145 zenon_H132 zenon_Hc5 zenon_H12f zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H174 zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hda zenon_H16b zenon_H169 zenon_H7a zenon_Hf5 zenon_H64 zenon_H16e zenon_H173 zenon_H177 zenon_H1ea zenon_H4a.
% 10.45/10.68 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.45/10.68 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.45/10.68 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.45/10.68 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.45/10.68 apply (zenon_L1093_); trivial.
% 10.45/10.68 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.45/10.68 apply (zenon_L1263_); trivial.
% 10.45/10.68 exact (zenon_H127 zenon_Hd0).
% 10.45/10.68 apply (zenon_L140_); trivial.
% 10.45/10.68 exact (zenon_H23e zenon_H43).
% 10.45/10.68 apply (zenon_L69_); trivial.
% 10.45/10.68 (* end of lemma zenon_L1281_ *)
% 10.45/10.68 assert (zenon_L1282_ : (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (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))))) -> (~((op (e0) (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 (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((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))))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((e2) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((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))))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (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 (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) (e3)) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((e1) = (e3))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e1) (e3)) = (e1))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> (~((e1) = (e2))) -> ((op (e2) (e2)) = (e2)) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e0) (e1)) = (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 (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((e0) = (e1))) -> ((op (e3) (e1)) = (e1)) -> False).
% 10.45/10.68 do 0 intro. intros zenon_He7 zenon_H4a zenon_H1ea zenon_H177 zenon_H173 zenon_H16e zenon_H64 zenon_Hf5 zenon_H7a zenon_H169 zenon_H16b zenon_Hda zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_H174 zenon_H156 zenon_H155 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_H12f zenon_Hc5 zenon_H132 zenon_H145 zenon_H14d zenon_H53 zenon_H14a zenon_H152 zenon_H158 zenon_H165 zenon_H108 zenon_H159 zenon_H103 zenon_H168 zenon_H23d zenon_H95 zenon_H1dd zenon_Hf8 zenon_Hfd zenon_H6f zenon_H10b zenon_H144 zenon_H44 zenon_H3c zenon_H8c zenon_Hab zenon_H86 zenon_H80 zenon_H7d zenon_H23e zenon_H42 zenon_H4c zenon_H151 zenon_H127 zenon_Hd2 zenon_H203 zenon_H1af zenon_H1ef zenon_H67 zenon_H35 zenon_H3a zenon_H216 zenon_H4b zenon_H191 zenon_He8 zenon_H192 zenon_H1f zenon_Hc1 zenon_Hde zenon_H5e zenon_Hf2.
% 10.45/10.68 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H68 | zenon_intro zenon_He9 ].
% 10.45/10.68 apply (zenon_L1281_); trivial.
% 10.45/10.68 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Heb | zenon_intro zenon_Hea ].
% 10.45/10.68 exact (zenon_He8 zenon_Heb).
% 10.45/10.68 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H78 | zenon_intro zenon_He5 ].
% 10.45/10.68 apply (zenon_L1199_); trivial.
% 10.45/10.68 apply (zenon_L206_); trivial.
% 10.45/10.68 (* end of lemma zenon_L1282_ *)
% 10.45/10.68 assert (zenon_L1283_ : (((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) (e2)) = (e0))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (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)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (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) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (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 (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((op (e3) (e1)) = (e1)) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((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 (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (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))))) -> (~((op (e3) (e3)) = (e2))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False).
% 10.45/10.68 do 0 intro. intros zenon_H97 zenon_H28 zenon_H67 zenon_H1ef zenon_H1af zenon_H203 zenon_Hd2 zenon_H127 zenon_H151 zenon_H42 zenon_H23e zenon_H7d zenon_H86 zenon_Hab zenon_H8c zenon_H144 zenon_H6f zenon_Hf8 zenon_H1dd zenon_H23d zenon_H168 zenon_H103 zenon_H159 zenon_H108 zenon_H165 zenon_H14a zenon_H53 zenon_H145 zenon_H132 zenon_H12f zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H174 zenon_Hd3 zenon_H110 zenon_H118 zenon_H16f zenon_Hda zenon_H169 zenon_H7a zenon_Hf5 zenon_H64 zenon_H16e zenon_H173 zenon_H1ea zenon_H4a zenon_Hf2 zenon_H5e zenon_Hde zenon_H1f zenon_H192 zenon_He8 zenon_H191 zenon_H14d zenon_H158 zenon_H152 zenon_H3c zenon_H51 zenon_H91 zenon_Hc8 zenon_Hc5 zenon_H7f zenon_H44 zenon_H16b zenon_H95 zenon_H114 zenon_H10b zenon_H80 zenon_H177 zenon_H8d zenon_Hc1 zenon_Hc0 zenon_H216 zenon_H3a zenon_H35 zenon_Hfd zenon_He7 zenon_H62 zenon_H4c.
% 10.45/10.68 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H31 | zenon_intro zenon_H98 ].
% 10.45/10.68 exact (zenon_H28 zenon_H31).
% 10.45/10.68 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ].
% 10.45/10.68 apply (zenon_L1282_); trivial.
% 10.45/10.68 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H52 | zenon_intro zenon_H57 ].
% 10.45/10.68 apply (zenon_L1203_); trivial.
% 10.45/10.68 apply (zenon_L13_); trivial.
% 10.45/10.68 (* end of lemma zenon_L1283_ *)
% 10.45/10.68 assert (zenon_L1284_ : (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((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)) = (e2))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (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 (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (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)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (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) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (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 (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((op (e3) (e1)) = (e1)) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((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 (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (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))))) -> (~((op (e3) (e3)) = (e2))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e1) = (e3))) -> False).
% 10.45/10.68 do 0 intro. intros zenon_H1f0 zenon_H238 zenon_H1bc zenon_Haf zenon_H1de zenon_H181 zenon_H187 zenon_H1b7 zenon_H1e6 zenon_Hae zenon_H1cb zenon_Hec zenon_H56 zenon_H1b4 zenon_H97 zenon_H28 zenon_H67 zenon_H1ef zenon_H1af zenon_H203 zenon_Hd2 zenon_H127 zenon_H151 zenon_H42 zenon_H23e zenon_H7d zenon_H86 zenon_Hab zenon_H8c zenon_H144 zenon_H6f zenon_Hf8 zenon_H1dd zenon_H23d zenon_H168 zenon_H103 zenon_H159 zenon_H108 zenon_H165 zenon_H14a zenon_H53 zenon_H145 zenon_H132 zenon_H12f zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H174 zenon_Hd3 zenon_H110 zenon_H118 zenon_H16f zenon_Hda zenon_H169 zenon_H7a zenon_Hf5 zenon_H64 zenon_H16e zenon_H173 zenon_H1ea zenon_H4a zenon_Hf2 zenon_H5e zenon_Hde zenon_H1f zenon_H192 zenon_He8 zenon_H191 zenon_H14d zenon_H158 zenon_H152 zenon_H3c zenon_H51 zenon_H91 zenon_Hc8 zenon_Hc5 zenon_H7f zenon_H44 zenon_H16b zenon_H95 zenon_H114 zenon_H10b zenon_H80 zenon_H177 zenon_H8d zenon_Hc1 zenon_Hc0 zenon_H216 zenon_H3a zenon_H35 zenon_Hfd zenon_He7 zenon_H4c.
% 10.45/10.68 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.45/10.68 exact (zenon_H56 zenon_H2c).
% 10.45/10.68 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.45/10.68 apply (zenon_L327_); trivial.
% 10.45/10.68 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.45/10.68 apply (zenon_L1280_); trivial.
% 10.45/10.68 apply (zenon_L1283_); trivial.
% 10.45/10.68 (* end of lemma zenon_L1284_ *)
% 10.45/10.68 assert (zenon_L1285_ : (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e3) (e1)) = (e1)) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (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 (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (e0))) -> (((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)) = (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 (e2) (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 (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((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) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (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 (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (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 (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (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 (e3) (e2)) = (e3)) -> ((op (e0) (e3)) = (e1)) -> (~((e1) = (e3))) -> False).
% 10.45/10.68 do 0 intro. intros zenon_H97 zenon_H28 zenon_Hf2 zenon_H5e zenon_Hde zenon_Hc1 zenon_H1f zenon_H192 zenon_He8 zenon_H191 zenon_H216 zenon_H3a zenon_H35 zenon_H67 zenon_H1ef zenon_H1af zenon_H203 zenon_Hd2 zenon_H127 zenon_H151 zenon_H42 zenon_H23e zenon_H7d zenon_H80 zenon_H86 zenon_Hab zenon_H8c zenon_H3c zenon_H44 zenon_H144 zenon_H6f zenon_Hfd zenon_Hf8 zenon_H1dd zenon_H95 zenon_H23d zenon_H168 zenon_H103 zenon_H159 zenon_H108 zenon_H165 zenon_H158 zenon_H152 zenon_H14a zenon_H53 zenon_H14d zenon_H145 zenon_H132 zenon_Hc5 zenon_H12f zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H174 zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hda zenon_H16b zenon_H169 zenon_H7a zenon_Hf5 zenon_H64 zenon_H16e zenon_H173 zenon_H177 zenon_H1ea zenon_H4a zenon_He7 zenon_H10b zenon_Hed zenon_H62 zenon_H4c.
% 10.45/10.68 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H31 | zenon_intro zenon_H98 ].
% 10.45/10.68 exact (zenon_H28 zenon_H31).
% 10.45/10.68 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H4b | zenon_intro zenon_H99 ].
% 10.45/10.68 apply (zenon_L1282_); trivial.
% 10.45/10.68 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H52 | zenon_intro zenon_H57 ].
% 10.45/10.68 apply (zenon_L75_); trivial.
% 10.45/10.68 apply (zenon_L13_); trivial.
% 10.45/10.68 (* end of lemma zenon_L1285_ *)
% 10.45/10.68 assert (zenon_L1286_ : (~((op (e0) (e1)) = (op (e3) (e1)))) -> (((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/((op (e1) (e3)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (((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 (e1) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (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 (e3) (e3)) = (e1))) -> (~((op (e0) (e0)) = (e1))) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e3) (e1)) = (e1)) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (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 (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (e0))) -> (((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)) = (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 (e2) (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 (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((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) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (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 (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (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 (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (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 (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> False).
% 10.45/10.68 do 0 intro. intros zenon_H1f0 zenon_H238 zenon_H1bc zenon_Hae zenon_Haf zenon_H1de zenon_H1e6 zenon_H1cb zenon_H187 zenon_H181 zenon_H1b7 zenon_H7e zenon_H56 zenon_H1b4 zenon_H97 zenon_H28 zenon_Hf2 zenon_H5e zenon_Hde zenon_Hc1 zenon_H1f zenon_H192 zenon_He8 zenon_H191 zenon_H216 zenon_H3a zenon_H35 zenon_H67 zenon_H1ef zenon_H1af zenon_H203 zenon_Hd2 zenon_H127 zenon_H151 zenon_H42 zenon_H23e zenon_H7d zenon_H80 zenon_H86 zenon_Hab zenon_H8c zenon_H3c zenon_H44 zenon_H144 zenon_H6f zenon_Hfd zenon_Hf8 zenon_H1dd zenon_H95 zenon_H23d zenon_H168 zenon_H103 zenon_H159 zenon_H108 zenon_H165 zenon_H158 zenon_H152 zenon_H14a zenon_H53 zenon_H14d zenon_H145 zenon_H132 zenon_Hc5 zenon_H12f zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H174 zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hda zenon_H16b zenon_H169 zenon_H7a zenon_Hf5 zenon_H64 zenon_H16e zenon_H173 zenon_H177 zenon_H1ea zenon_H4a zenon_He7 zenon_H10b zenon_Hed zenon_H4c.
% 10.45/10.68 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.45/10.68 exact (zenon_H56 zenon_H2c).
% 10.45/10.68 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.45/10.68 apply (zenon_L327_); trivial.
% 10.45/10.68 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.45/10.68 apply (zenon_L1269_); trivial.
% 10.45/10.68 apply (zenon_L1285_); trivial.
% 10.45/10.68 (* end of lemma zenon_L1286_ *)
% 10.45/10.68 assert (zenon_L1287_ : (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (((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) (e2)) = (e0))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (e0))) -> (((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e3)) = (op (e3) (e3)))) -> (((op (e0) (e3)) = (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)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e1) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (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) (e0)) = (op (e3) (e0)))) -> (~((e0) = (e3))) -> (((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/((op (e1) (e3)) = (e0))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (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 (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> ((op (e3) (e1)) = (e1)) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((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 (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> ((op (e0) (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))))) -> (~((op (e3) (e3)) = (e2))) -> (~((e0) = (e2))) -> (((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e3)) = (e3))))) -> (~((e2) = (e3))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e3) (e3)) = (e3))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> (~((op (e3) (e3)) = (e0))) -> (~((op (e1) (e1)) = (e3))) -> (((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e1) = (e3))) -> False).
% 10.45/10.68 do 0 intro. intros zenon_H56 zenon_H1f0 zenon_H100 zenon_H97 zenon_H28 zenon_H67 zenon_H1ef zenon_H1af zenon_H203 zenon_Hd2 zenon_H127 zenon_H151 zenon_H42 zenon_H23e zenon_H7d zenon_H86 zenon_Hab zenon_H8c zenon_H144 zenon_H6f zenon_Hf8 zenon_H1dd zenon_H23d zenon_H168 zenon_H103 zenon_H159 zenon_H108 zenon_H165 zenon_H14a zenon_H53 zenon_H145 zenon_H132 zenon_H12f zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H174 zenon_Hd3 zenon_H110 zenon_H118 zenon_H16f zenon_Hda zenon_H169 zenon_H7a zenon_Hf5 zenon_H64 zenon_H16e zenon_H173 zenon_H1ea zenon_H4a zenon_Hf2 zenon_H5e zenon_Hde zenon_H1f zenon_H192 zenon_He8 zenon_H191 zenon_H14d zenon_H158 zenon_H152 zenon_H3c zenon_H51 zenon_H91 zenon_Hc8 zenon_Hc5 zenon_H7f zenon_H44 zenon_H16b zenon_H95 zenon_H114 zenon_H10b zenon_H80 zenon_H177 zenon_H8d zenon_Hc1 zenon_Hc0 zenon_H216 zenon_H3a zenon_H35 zenon_Hfd zenon_He7 zenon_H4c.
% 10.45/10.68 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.45/10.68 exact (zenon_H56 zenon_H2c).
% 10.45/10.68 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.45/10.68 apply (zenon_L327_); trivial.
% 10.45/10.68 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.45/10.68 apply (zenon_L228_); trivial.
% 10.45/10.68 apply (zenon_L1283_); trivial.
% 10.45/10.68 (* end of lemma zenon_L1287_ *)
% 10.45/10.68 assert (zenon_L1288_ : (~((op (e0) (e0)) = (e1))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e1) (e2)) = (e1)) -> (((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e0)) = (e3))) -> ((op (e3) (e1)) = (e1)) -> (~((e0) = (e1))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (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 (e2) (e1)) = (op (e2) (e2)))) -> ((op (e2) (e2)) = (e2)) -> (~((e1) = (e2))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (e0))) -> (((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)) = (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 (e2) (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 (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (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 (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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((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) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (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 (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (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 (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e3) (e3)) = (e2))))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (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 (e3) (e2)) = (e3)) -> (~((e1) = (e3))) -> False).
% 10.45/10.68 do 0 intro. intros zenon_H56 zenon_H1f0 zenon_H100 zenon_H97 zenon_H28 zenon_Hf2 zenon_H5e zenon_Hde zenon_Hc1 zenon_H1f zenon_H192 zenon_He8 zenon_H191 zenon_H216 zenon_H3a zenon_H35 zenon_H67 zenon_H1ef zenon_H1af zenon_H203 zenon_Hd2 zenon_H127 zenon_H151 zenon_H42 zenon_H23e zenon_H7d zenon_H80 zenon_H86 zenon_Hab zenon_H8c zenon_H3c zenon_H44 zenon_H144 zenon_H6f zenon_Hfd zenon_Hf8 zenon_H1dd zenon_H95 zenon_H23d zenon_H168 zenon_H103 zenon_H159 zenon_H108 zenon_H165 zenon_H158 zenon_H152 zenon_H14a zenon_H53 zenon_H14d zenon_H145 zenon_H132 zenon_Hc5 zenon_H12f zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H155 zenon_H156 zenon_H174 zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hda zenon_H16b zenon_H169 zenon_H7a zenon_Hf5 zenon_H64 zenon_H16e zenon_H173 zenon_H177 zenon_H1ea zenon_H4a zenon_He7 zenon_H10b zenon_Hed zenon_H4c.
% 10.45/10.68 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H2c | zenon_intro zenon_H65 ].
% 10.45/10.68 exact (zenon_H56 zenon_H2c).
% 10.45/10.68 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H1e | zenon_intro zenon_H66 ].
% 10.45/10.68 apply (zenon_L327_); trivial.
% 10.45/10.68 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H5d | zenon_intro zenon_H62 ].
% 10.45/10.68 apply (zenon_L228_); trivial.
% 10.45/10.68 apply (zenon_L1285_); trivial.
% 10.45/10.68 (* end of lemma zenon_L1288_ *)
% 10.45/10.68 assert (zenon_L1289_ : ((~((op (e1) (e1)) = (e2)))\/((op (e1) (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 (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (e3))))) -> (~((op (e1) (e1)) = (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))))) -> (~((op (e0) (e3)) = (op (e3) (e3)))) -> (~((op (e1) (e1)) = (op (e3) (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)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/((op (e3) (e0)) = (e3))))) -> (~((op (e1) (e0)) = (op (e3) (e0)))) -> (((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/((op (e2) (e1)) = (e3))))) -> (~((op (e2) (e1)) = (op (e3) (e1)))) -> (~((op (e1) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e0) (e0)) = (e3))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e0) (e2)))) -> (((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))))) -> (~((e0) = (e2))) -> (~((e0) = (e3))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> ((~((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 (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/((op (e3) (e2)) = (e0))))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> (~((e2) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((e1) = (e2))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((op (e2) (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 (e0) (e3)) = (op (e1) (e3)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (~((e1) = (e3))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((op (e0) (e3)) = (e0))) -> (((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)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e3) (e3)) = (e1))))) -> (~((e0) = (e1))) -> (~((op (e1) (e3)) = (e1))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> ((op (e1) (e0)) = (e1)) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> ((op (e3) (e1)) = (e1)) -> (((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> ((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3))) -> (~((op (e2) (e3)) = (e2))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> False).
% 10.45/10.68 do 0 intro. intros zenon_H1ea zenon_H216 zenon_H177 zenon_H173 zenon_H16e zenon_H64 zenon_Hf5 zenon_H7a zenon_H169 zenon_H1f zenon_H16b zenon_Hda zenon_H16f zenon_H118 zenon_H114 zenon_H110 zenon_Hd3 zenon_H28 zenon_Hfd zenon_H174 zenon_H156 zenon_H112 zenon_H157 zenon_H150 zenon_Hbb zenon_H12f zenon_H144 zenon_H10b zenon_H3c zenon_Hc5 zenon_H132 zenon_H145 zenon_H14d zenon_H44 zenon_H53 zenon_H14a zenon_H152 zenon_H158 zenon_H165 zenon_H108 zenon_H168 zenon_H23d zenon_H95 zenon_H1dd zenon_Hf8 zenon_H35 zenon_H155 zenon_H3a zenon_H1de zenon_H181 zenon_H187 zenon_H1b7 zenon_H1e6 zenon_H4c zenon_Hae zenon_H23e zenon_H7d zenon_H80 zenon_H86 zenon_Hab zenon_H5e zenon_H203 zenon_H1cb zenon_H159 zenon_H15a zenon_Hec zenon_Hf2 zenon_H103 zenon_H8c zenon_H151 zenon_H127 zenon_Hd2 zenon_H1af.
% 10.45/10.68 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.45/10.68 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.45/10.68 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.45/10.68 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.45/10.68 apply (zenon_L1271_); trivial.
% 10.45/10.68 exact (zenon_H127 zenon_Hd0).
% 10.45/10.68 apply (zenon_L500_); trivial.
% 10.45/10.68 exact (zenon_H203 zenon_H9a).
% 10.45/10.68 apply (zenon_L123_); trivial.
% 10.45/10.68 (* end of lemma zenon_L1289_ *)
% 10.45/10.68 assert (zenon_L1290_ : (((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/((op (e3) (e0)) = (e2))))) -> (~((op (e0) (e0)) = (op (e0) (e1)))) -> (((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/((op (e0) (e3)) = (e0))))) -> (~((op (e0) (e1)) = (op (e3) (e1)))) -> ((op (e3) (e1)) = (e1)) -> (((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/((op (e3) (e0)) = (e1))))) -> (~((op (e1) (e0)) = (op (e2) (e0)))) -> (~((op (e0) (e2)) = (op (e1) (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 (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/((op (e3) (e2)) = (e1))))) -> (~((op (e3) (e1)) = (op (e3) (e2)))) -> (~((op (e1) (e0)) = (op (e1) (e2)))) -> (~((op (e0) (e2)) = (op (e0) (e3)))) -> (((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/((op (e1) (e3)) = (e2))))) -> (~((e1) = (e3))) -> (~((op (e1) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e3)) = (e3))))) -> (~((op (e0) (e3)) = (op (e1) (e3)))) -> (~((op (e0) (e3)) = (op (e2) (e3)))) -> (((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e3)) = (e3))))) -> (~((op (e1) (e2)) = (op (e2) (e2)))) -> ((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3))) -> (~((op (e3) (e0)) = (op (e3) (e2)))) -> (~((e2) = (e3))) -> ((~((op (e3) (e3)) = (e3)))\/(~((op (e3) (e3)) = (e3)))) -> ((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1))) -> (((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 (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2))) -> (~((op (e2) (e2)) = (op (e3) (e2)))) -> (~((op (e0) (e0)) = (op (e3) (e0)))) -> (~((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) (e0)) = (op (e0) (e2)))) -> (((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e2) (e2)) = (e3))))) -> (~((op (e0) (e2)) = (op (e3) (e2)))) -> (((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e2)) = (e3))))) -> (~((op (e0) (e0)) = (op (e1) (e0)))) -> (~((op (e3) (e0)) = (op (e3) (e1)))) -> ((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3))) -> ((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2))) -> (~((op (e2) (e0)) = (op (e2) (e1)))) -> ((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2))) -> ((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0))) -> (~((op (e0) (e1)) = (op (e0) (e2)))) -> (~((op (e0) (e1)) = (op (e2) (e1)))) -> (~((op (e1) (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 (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 (e0) (e1)) = (op (e1) (e1)))) -> (~((op (e1) (e1)) = (op (e3) (e1)))) -> (~((op (e0) (e3)) = (op (e3) (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 (e1) (e1)) = (op (e1) (e2)))) -> (((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/((op (e3) (e3)) = (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) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/((op (e3) (e1)) = (e3))))) -> ((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0))) -> ((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1))) -> ((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1))) -> (((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/((op (e1) (e1)) = (e3))))) -> ((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2))) -> (~((op (e2) (e3)) = (e2))) -> ((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1))) -> ((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0))) -> (((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/((op (e3) (e1)) = (e2))))) -> (~((op (e2) (e1)) = (op (e2) (e2)))) -> (((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/((op (e3) (e1)) = (e0))))) -> (~((e0) = (e2))) -> (~((op (e0) (e2)) = (op (e2) (e2)))) -> (((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e3) (e3)) = (e0))))) -> (~((e1) = (e2))) -> (~((op (e1) (e3)) = (e1))) -> (~((e0) = (e1))) -> (((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (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) (e3)) = (e0))) -> (((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/((op (e0) (e3)) = (e2))))) -> (((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/((op (e2) (e0)) = (e3))))) -> (~((op (e2) (e0)) = (op (e3) (e0)))) -> (~((op (e2) (e0)) = (op (e2) (e2)))) -> (~((op (e0) (e0)) = (op (e2) (e0)))) -> ((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0))) -> (~((op (e3) (e3)) = (e3))) -> False).
% 10.45/10.68 do 0 intro. intros zenon_Hdd zenon_H26 zenon_H200 zenon_H1f0 zenon_Hf2 zenon_H1b4 zenon_H1bc zenon_H6f zenon_H238 zenon_H151 zenon_H103 zenon_Hec zenon_H159 zenon_H1cb zenon_Hae zenon_H4c zenon_H1e6 zenon_H1b7 zenon_H187 zenon_H181 zenon_H1de zenon_H155 zenon_Hf8 zenon_H1dd zenon_H95 zenon_H23d zenon_H168 zenon_H108 zenon_H165 zenon_H158 zenon_H152 zenon_H14a zenon_H53 zenon_H14d zenon_H145 zenon_H132 zenon_Hc5 zenon_H10b zenon_H144 zenon_H12f zenon_Hbb zenon_H150 zenon_H157 zenon_H112 zenon_H156 zenon_H174 zenon_Hfd zenon_Hd3 zenon_H110 zenon_H114 zenon_H118 zenon_H16f zenon_Hda zenon_H16b zenon_H1f zenon_H169 zenon_H7a zenon_Hf5 zenon_H64 zenon_H16e zenon_H173 zenon_H177 zenon_H97 zenon_Hc0 zenon_H67 zenon_H1ef zenon_H1af zenon_H191 zenon_Hd2 zenon_H127 zenon_H1ea zenon_H4a zenon_Hde zenon_H216 zenon_He7 zenon_H44 zenon_H3c zenon_H8c zenon_H35 zenon_H203 zenon_H5e zenon_Hab zenon_H86 zenon_H7d zenon_H23e zenon_H42 zenon_H1c3 zenon_H1c0 zenon_Hc6 zenon_H1ba zenon_H204 zenon_H80.
% 10.45/10.68 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H2a | zenon_intro zenon_H175 ].
% 10.45/10.68 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.45/10.68 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.45/10.68 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.45/10.68 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.45/10.68 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.45/10.68 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.45/10.68 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.45/10.68 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hcf ].
% 10.45/10.68 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.45/10.68 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.45/10.68 apply (zenon_L1277_); trivial.
% 10.45/10.68 apply (zenon_L1256_); trivial.
% 10.45/10.68 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.45/10.68 apply (zenon_L1277_); trivial.
% 10.45/10.68 apply (zenon_L500_); trivial.
% 10.45/10.68 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.45/10.68 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H3a ].
% 10.45/10.68 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.45/10.68 apply (zenon_L1260_); trivial.
% 10.45/10.68 exact (zenon_H127 zenon_Hd0).
% 10.45/10.68 apply (zenon_L321_); trivial.
% 10.45/10.68 apply (zenon_L79_); trivial.
% 10.45/10.68 exact (zenon_H203 zenon_H9a).
% 10.45/10.68 apply (zenon_L1223_); trivial.
% 10.45/10.68 apply (zenon_L140_); trivial.
% 10.45/10.68 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.45/10.68 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.45/10.68 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_H32 | zenon_intro zenon_Hdf ].
% 10.45/10.68 exact (zenon_H27 zenon_H32).
% 10.45/10.68 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H6a | zenon_intro zenon_He0 ].
% 10.45/10.68 apply (zenon_L238_); trivial.
% 10.45/10.68 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hd8 ].
% 10.45/10.68 apply (zenon_L1279_); trivial.
% 10.45/10.68 apply (zenon_L209_); trivial.
% 10.45/10.68 apply (zenon_L1058_); trivial.
% 10.45/10.68 exact (zenon_H127 zenon_Hd0).
% 10.45/10.68 exact (zenon_H23e zenon_H43).
% 10.45/10.68 apply (zenon_L101_); trivial.
% 10.45/10.68 apply (zenon_L937_); trivial.
% 10.45/10.68 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H1d | zenon_intro zenon_H176 ].
% 10.45/10.68 apply (zenon_L140_); trivial.
% 10.45/10.68 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H3a | zenon_intro zenon_H84 ].
% 10.45/10.69 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H25 | zenon_intro zenon_H2a ].
% 10.45/10.69 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H56 | zenon_intro zenon_H68 ].
% 10.45/10.69 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H27 | zenon_intro zenon_H51 ].
% 10.45/10.69 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.45/10.69 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.45/10.69 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.45/10.69 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.45/10.69 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.45/10.69 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.45/10.69 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.45/10.69 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.45/10.69 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.45/10.69 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.45/10.69 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.45/10.69 exact (zenon_H25 zenon_H2a).
% 10.45/10.69 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.45/10.69 apply (zenon_L1262_); trivial.
% 10.45/10.69 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.45/10.69 apply (zenon_L1284_); trivial.
% 10.45/10.69 exact (zenon_H23e zenon_H43).
% 10.45/10.69 apply (zenon_L1286_); trivial.
% 10.45/10.69 apply (zenon_L207_); trivial.
% 10.45/10.69 apply (zenon_L1058_); trivial.
% 10.45/10.69 exact (zenon_H127 zenon_Hd0).
% 10.45/10.69 apply (zenon_L500_); trivial.
% 10.45/10.69 exact (zenon_H203 zenon_H9a).
% 10.45/10.69 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.45/10.69 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.45/10.69 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.45/10.69 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.45/10.69 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.45/10.69 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.45/10.69 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H2a | zenon_intro zenon_H201 ].
% 10.45/10.69 exact (zenon_H25 zenon_H2a).
% 10.45/10.69 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H68 | zenon_intro zenon_H202 ].
% 10.45/10.69 apply (zenon_L1262_); trivial.
% 10.45/10.69 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H51 | zenon_intro zenon_H43 ].
% 10.45/10.69 apply (zenon_L1287_); trivial.
% 10.45/10.69 exact (zenon_H23e zenon_H43).
% 10.45/10.69 apply (zenon_L1288_); trivial.
% 10.45/10.69 apply (zenon_L207_); trivial.
% 10.45/10.69 apply (zenon_L1058_); trivial.
% 10.45/10.69 exact (zenon_H127 zenon_Hd0).
% 10.45/10.69 apply (zenon_L500_); trivial.
% 10.45/10.69 exact (zenon_H203 zenon_H9a).
% 10.45/10.69 apply (zenon_L140_); trivial.
% 10.45/10.69 apply (zenon_L1289_); trivial.
% 10.45/10.69 exact (zenon_H23e zenon_H43).
% 10.45/10.69 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H28 | zenon_intro zenon_H43 ].
% 10.45/10.69 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_He8 | zenon_intro zenon_H15a ].
% 10.45/10.69 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H192 | zenon_intro zenon_H1d ].
% 10.45/10.69 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_Haf | zenon_intro zenon_H100 ].
% 10.45/10.69 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.45/10.69 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.45/10.69 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.45/10.69 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.45/10.69 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H7e | zenon_intro zenon_Hbd ].
% 10.45/10.69 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.45/10.69 apply (zenon_L1284_); trivial.
% 10.45/10.69 apply (zenon_L1286_); trivial.
% 10.45/10.69 apply (zenon_L207_); trivial.
% 10.45/10.69 apply (zenon_L1058_); trivial.
% 10.45/10.69 exact (zenon_H127 zenon_Hd0).
% 10.45/10.69 apply (zenon_L500_); trivial.
% 10.45/10.69 exact (zenon_H203 zenon_H9a).
% 10.45/10.69 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H9a ].
% 10.45/10.69 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H91 | zenon_intro zenon_Hb8 ].
% 10.45/10.69 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hd0 ].
% 10.45/10.69 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H8d | zenon_intro zenon_Hbc ].
% 10.45/10.69 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H7f | zenon_intro zenon_Hed ].
% 10.45/10.69 apply (zenon_L1287_); trivial.
% 10.45/10.69 apply (zenon_L1288_); trivial.
% 10.45/10.69 apply (zenon_L1058_); trivial.
% 10.45/10.69 exact (zenon_H127 zenon_Hd0).
% 10.45/10.69 apply (zenon_L500_); trivial.
% 10.45/10.69 exact (zenon_H203 zenon_H9a).
% 10.45/10.69 apply (zenon_L140_); trivial.
% 10.45/10.69 apply (zenon_L1289_); trivial.
% 10.45/10.69 exact (zenon_H23e zenon_H43).
% 10.45/10.69 apply (zenon_L1281_); trivial.
% 10.45/10.69 apply (zenon_L1275_); trivial.
% 10.45/10.69 exact (zenon_H80 zenon_H84).
% 10.45/10.69 (* end of lemma zenon_L1290_ *)
% 10.45/10.69 apply (zenon_and_s _ _ ax1). zenon_intro zenon_H24. zenon_intro zenon_H241.
% 10.45/10.69 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H22d. zenon_intro zenon_H242.
% 10.45/10.69 apply (zenon_and_s _ _ zenon_H242). zenon_intro zenon_H144. zenon_intro zenon_H243.
% 10.45/10.69 apply (zenon_and_s _ _ zenon_H243). zenon_intro zenon_H1b7. zenon_intro zenon_H244.
% 10.45/10.69 apply (zenon_and_s _ _ zenon_H244). zenon_intro zenon_H233. zenon_intro zenon_H245.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H245). zenon_intro zenon_H191. zenon_intro zenon_H246.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H246). zenon_intro zenon_H1f8. zenon_intro zenon_H247.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H247). zenon_intro zenon_H18a. zenon_intro zenon_H248.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H248). zenon_intro zenon_H1c3. zenon_intro zenon_H249.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H249). zenon_intro zenon_H118. zenon_intro zenon_H24a.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H24a). zenon_intro zenon_Hc5. zenon_intro zenon_H24b.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H24b). zenon_intro zenon_H21d. zenon_intro zenon_H24c.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H24c). zenon_intro zenon_H24e. zenon_intro zenon_H24d.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_H250. zenon_intro zenon_H24f.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H212. zenon_intro zenon_H7d.
% 10.57/10.69 apply (zenon_and_s _ _ ax2). zenon_intro zenon_H200. zenon_intro zenon_H251.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_H18e. zenon_intro zenon_H252.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H64. zenon_intro zenon_H253.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H1b4. zenon_intro zenon_H254.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H254). zenon_intro zenon_H42. zenon_intro zenon_H255.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hdd. zenon_intro zenon_H256.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H97. zenon_intro zenon_H257.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_Hda. zenon_intro zenon_H258.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H258). zenon_intro zenon_H145. zenon_intro zenon_H259.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_He7. zenon_intro zenon_H25a.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_H238. zenon_intro zenon_H25b.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H25b). zenon_intro zenon_H1b1. zenon_intro zenon_H25c.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_Hae. zenon_intro zenon_H25d.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_Hde. zenon_intro zenon_H25e.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H1de. zenon_intro zenon_H25f.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_Hc0. zenon_intro zenon_H260.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_Hb0. zenon_intro zenon_H261.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H261). zenon_intro zenon_H108. zenon_intro zenon_H262.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H262). zenon_intro zenon_H90. zenon_intro zenon_H263.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H263). zenon_intro zenon_H103. zenon_intro zenon_H264.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H264). zenon_intro zenon_H1e2. zenon_intro zenon_H265.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H265). zenon_intro zenon_H267. zenon_intro zenon_H266.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H266). zenon_intro zenon_H12c. zenon_intro zenon_H268.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H268). zenon_intro zenon_H165. zenon_intro zenon_H269.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H14d. zenon_intro zenon_H26a.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H8c. zenon_intro zenon_H26b.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H26b). zenon_intro zenon_Hf5. zenon_intro zenon_H26c.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Hab. zenon_intro zenon_H26d.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H26d). zenon_intro zenon_H177. zenon_intro zenon_H26e.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H128. zenon_intro zenon_H26f.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H26f). zenon_intro zenon_H16b. zenon_intro zenon_H270.
% 10.57/10.69 apply (zenon_and_s _ _ ax3). zenon_intro zenon_H12f. zenon_intro zenon_H271.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H271). zenon_intro zenon_H1ba. zenon_intro zenon_H272.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H272). zenon_intro zenon_H14a. zenon_intro zenon_H273.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H273). zenon_intro zenon_H1bc. zenon_intro zenon_H274.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H274). zenon_intro zenon_H16f. zenon_intro zenon_H275.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_H1c0. zenon_intro zenon_H276.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H1f. zenon_intro zenon_H277.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_Hd3. zenon_intro zenon_H278.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H1f0. zenon_intro zenon_H279.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_H110. zenon_intro zenon_H27a.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H169. zenon_intro zenon_H27b.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H114. zenon_intro zenon_H27c.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H27c). zenon_intro zenon_H6f. zenon_intro zenon_H27d.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H27d). zenon_intro zenon_H3c. zenon_intro zenon_H27e.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H27e). zenon_intro zenon_H10b. zenon_intro zenon_H27f.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H27f). zenon_intro zenon_H155. zenon_intro zenon_H280.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H280). zenon_intro zenon_H1e6. zenon_intro zenon_H281.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H152. zenon_intro zenon_H282.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H187. zenon_intro zenon_H283.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H181. zenon_intro zenon_H284.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H7a. zenon_intro zenon_H285.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H17c. zenon_intro zenon_H286.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H86. zenon_intro zenon_H287.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_H205. zenon_intro zenon_H288.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H26. zenon_intro zenon_H289.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_H132. zenon_intro zenon_H28a.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H58. zenon_intro zenon_H28b.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_Hfd. zenon_intro zenon_H28c.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H11b. zenon_intro zenon_H28d.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_H1cb. zenon_intro zenon_H28e.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H195. zenon_intro zenon_H28f.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H159. zenon_intro zenon_H290.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_H198. zenon_intro zenon_H291.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H16e. zenon_intro zenon_H292.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H11d. zenon_intro zenon_H293.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H293). zenon_intro zenon_H230. zenon_intro zenon_H294.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H294). zenon_intro zenon_H112. zenon_intro zenon_H295.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H295). zenon_intro zenon_Hc6. zenon_intro zenon_H296.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_Hce. zenon_intro zenon_H297.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H297). zenon_intro zenon_H216. zenon_intro zenon_H298.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H184. zenon_intro zenon_H299.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H299). zenon_intro zenon_H1fb. zenon_intro zenon_H29a.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H29a). zenon_intro zenon_Hbb. zenon_intro zenon_H29b.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H1dd. zenon_intro zenon_H29c.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_He3. zenon_intro zenon_H29d.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H29d). zenon_intro zenon_Hec. zenon_intro zenon_H29e.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H17a. zenon_intro zenon_H29f.
% 10.57/10.69 apply (zenon_and_s _ _ ax4). zenon_intro zenon_H5e. zenon_intro zenon_H2a0.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2a0). zenon_intro zenon_H44. zenon_intro zenon_H2a1.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H53. zenon_intro zenon_H2a2.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H35. zenon_intro zenon_H2a3.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2a3). zenon_intro zenon_H4c. zenon_intro zenon_H95.
% 10.57/10.69 apply (zenon_and_s _ _ ax5). zenon_intro zenon_H2a5. zenon_intro zenon_H2a4.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2a4). zenon_intro zenon_H173. zenon_intro zenon_H2a6.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H204. zenon_intro zenon_H2a7.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H174. zenon_intro zenon_H2a8.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H67. zenon_intro zenon_H2a9.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H4a. zenon_intro zenon_H2aa.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2aa). zenon_intro zenon_H168. zenon_intro zenon_H2ab.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2ab). zenon_intro zenon_H1ef. zenon_intro zenon_H2ac.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2ac). zenon_intro zenon_H1ea. zenon_intro zenon_H2ad.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2ad). zenon_intro zenon_H1af. zenon_intro zenon_H2ae.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2ae). zenon_intro zenon_H156. zenon_intro zenon_H2af.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H157. zenon_intro zenon_H2b0.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H158. zenon_intro zenon_H2b1.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_Hd2. zenon_intro zenon_H2b2.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H150. zenon_intro zenon_H2b3.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H151. zenon_intro zenon_H2b4.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_Hf8. zenon_intro zenon_H18d.
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H2b6 | zenon_intro zenon_H2b5 ].
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H2a. zenon_intro zenon_H2b7.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2b9. zenon_intro zenon_H2b8.
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H25 | zenon_intro zenon_H25 ].
% 10.57/10.69 exact (zenon_H25 zenon_H2a).
% 10.57/10.69 exact (zenon_H25 zenon_H2a).
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H2bb | zenon_intro zenon_H2ba ].
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H1e. zenon_intro zenon_H2b7.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2b9. zenon_intro zenon_H2b8.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H224. zenon_intro zenon_H2bc.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2bc). zenon_intro zenon_H226. zenon_intro zenon_H225.
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H25 | zenon_intro zenon_H25 ].
% 10.57/10.69 apply (zenon_L588_); trivial.
% 10.57/10.69 apply (zenon_L588_); trivial.
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H2be | zenon_intro zenon_H2bd ].
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H3b. zenon_intro zenon_H2b7.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2b9. zenon_intro zenon_H2b8.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H224. zenon_intro zenon_H2bc.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2bc). zenon_intro zenon_H226. zenon_intro zenon_H225.
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H25 | zenon_intro zenon_H25 ].
% 10.57/10.69 apply (zenon_L647_); trivial.
% 10.57/10.69 apply (zenon_L647_); trivial.
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H2bd); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H2bf ].
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H57. zenon_intro zenon_H2b7.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H2b9. zenon_intro zenon_H2b8.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H224. zenon_intro zenon_H2bc.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2bc). zenon_intro zenon_H226. zenon_intro zenon_H225.
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H25 | zenon_intro zenon_H25 ].
% 10.57/10.69 apply (zenon_L692_); trivial.
% 10.57/10.69 apply (zenon_L692_); trivial.
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c1 ].
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2c2). zenon_intro zenon_H69. zenon_intro zenon_H2c3.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H2c5. zenon_intro zenon_H2c4.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2c4). zenon_intro zenon_H2c7. zenon_intro zenon_H2c6.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H22a. zenon_intro zenon_H22b.
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H56 | zenon_intro zenon_H22c ].
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H192 | zenon_intro zenon_H192 ].
% 10.57/10.69 apply (zenon_L751_); trivial.
% 10.57/10.69 apply (zenon_L751_); trivial.
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H192 | zenon_intro zenon_H192 ].
% 10.57/10.69 apply (zenon_L798_); trivial.
% 10.57/10.69 apply (zenon_L798_); trivial.
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H2c9 | zenon_intro zenon_H2c8 ].
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2c9). zenon_intro zenon_H1d. zenon_intro zenon_H2c3.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H2c5. zenon_intro zenon_H2c4.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2c4). zenon_intro zenon_H2c7. zenon_intro zenon_H2c6.
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H192 | zenon_intro zenon_H192 ].
% 10.57/10.69 exact (zenon_H192 zenon_H1d).
% 10.57/10.69 exact (zenon_H192 zenon_H1d).
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H2cb | zenon_intro zenon_H2ca ].
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2cb). zenon_intro zenon_H6e. zenon_intro zenon_H2c3.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H2c5. zenon_intro zenon_H2c4.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2c4). zenon_intro zenon_H2c7. zenon_intro zenon_H2c6.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H22a. zenon_intro zenon_H22b.
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H56 | zenon_intro zenon_H22c ].
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H192 | zenon_intro zenon_H192 ].
% 10.57/10.69 apply (zenon_L866_); trivial.
% 10.57/10.69 apply (zenon_L866_); trivial.
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H192 | zenon_intro zenon_H192 ].
% 10.57/10.69 apply (zenon_L880_); trivial.
% 10.57/10.69 apply (zenon_L880_); trivial.
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H2cd | zenon_intro zenon_H2cc ].
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2cd). zenon_intro zenon_H188. zenon_intro zenon_H2c3.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H2c5. zenon_intro zenon_H2c4.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2c4). zenon_intro zenon_H2c7. zenon_intro zenon_H2c6.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H22a. zenon_intro zenon_H22b.
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H56 | zenon_intro zenon_H22c ].
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H192 | zenon_intro zenon_H192 ].
% 10.57/10.69 apply (zenon_L892_); trivial.
% 10.57/10.69 apply (zenon_L892_); trivial.
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H192 | zenon_intro zenon_H192 ].
% 10.57/10.69 apply (zenon_L900_); trivial.
% 10.57/10.69 apply (zenon_L900_); trivial.
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2cf | zenon_intro zenon_H2ce ].
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H73. zenon_intro zenon_H2d0.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H2d2. zenon_intro zenon_H2d1.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2d1). zenon_intro zenon_H2d4. zenon_intro zenon_H2d3.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_H2d5. zenon_intro zenon_H237.
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H27 | zenon_intro zenon_H23c ].
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_Haf | zenon_intro zenon_H239 ].
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hc7 ].
% 10.57/10.69 apply (zenon_L988_); trivial.
% 10.57/10.69 apply (zenon_L988_); trivial.
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hc7 ].
% 10.57/10.69 apply (zenon_L1015_); trivial.
% 10.57/10.69 apply (zenon_L1015_); trivial.
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_Haf | zenon_intro zenon_H239 ].
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hc7 ].
% 10.57/10.69 apply (zenon_L1027_); trivial.
% 10.57/10.69 apply (zenon_L1027_); trivial.
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hc7 ].
% 10.57/10.69 apply (zenon_L1029_); trivial.
% 10.57/10.69 apply (zenon_L1029_); trivial.
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2d6 ].
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_H77. zenon_intro zenon_H2d0.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H2d2. zenon_intro zenon_H2d1.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2d1). zenon_intro zenon_H2d4. zenon_intro zenon_H2d3.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_H2d5. zenon_intro zenon_H237.
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H27 | zenon_intro zenon_H23c ].
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_Haf | zenon_intro zenon_H239 ].
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hc7 ].
% 10.57/10.69 apply (zenon_L1033_); trivial.
% 10.57/10.69 apply (zenon_L1033_); trivial.
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hc7 ].
% 10.57/10.69 apply (zenon_L1036_); trivial.
% 10.57/10.69 apply (zenon_L1036_); trivial.
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_Haf | zenon_intro zenon_H239 ].
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hc7 ].
% 10.57/10.69 apply (zenon_L1046_); trivial.
% 10.57/10.69 apply (zenon_L1046_); trivial.
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hc7 ].
% 10.57/10.69 apply (zenon_L1048_); trivial.
% 10.57/10.69 apply (zenon_L1048_); trivial.
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2d8 ].
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H3a. zenon_intro zenon_H2d0.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H2d2. zenon_intro zenon_H2d1.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2d1). zenon_intro zenon_H2d4. zenon_intro zenon_H2d3.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_H2d5. zenon_intro zenon_H237.
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hc7 ].
% 10.57/10.69 exact (zenon_Hc7 zenon_H3a).
% 10.57/10.69 exact (zenon_Hc7 zenon_H3a).
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H2db | zenon_intro zenon_H2da ].
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H11f. zenon_intro zenon_H2d0.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H2d2. zenon_intro zenon_H2d1.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2d1). zenon_intro zenon_H2d4. zenon_intro zenon_H2d3.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_H2d5. zenon_intro zenon_H237.
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hc7 ].
% 10.57/10.69 apply (zenon_L939_); trivial.
% 10.57/10.69 apply (zenon_L939_); trivial.
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H2dd | zenon_intro zenon_H2dc ].
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_He4. zenon_intro zenon_H2de.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H23f. zenon_intro zenon_H2df.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H2e1. zenon_intro zenon_H2e0.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H240. zenon_intro zenon_H23d.
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H28 | zenon_intro zenon_H23e ].
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H203 ].
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H127 ].
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H80 | zenon_intro zenon_H80 ].
% 10.57/10.69 apply (zenon_L1077_); trivial.
% 10.57/10.69 apply (zenon_L1077_); trivial.
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H80 | zenon_intro zenon_H80 ].
% 10.57/10.69 apply (zenon_L1089_); trivial.
% 10.57/10.69 apply (zenon_L1089_); trivial.
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H127 ].
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H80 | zenon_intro zenon_H80 ].
% 10.57/10.69 apply (zenon_L1109_); trivial.
% 10.57/10.69 apply (zenon_L1109_); trivial.
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H80 | zenon_intro zenon_H80 ].
% 10.57/10.69 apply (zenon_L1113_); trivial.
% 10.57/10.69 apply (zenon_L1113_); trivial.
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H203 ].
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H127 ].
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H80 | zenon_intro zenon_H80 ].
% 10.57/10.69 apply (zenon_L1135_); trivial.
% 10.57/10.69 apply (zenon_L1135_); trivial.
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H80 | zenon_intro zenon_H80 ].
% 10.57/10.69 apply (zenon_L1143_); trivial.
% 10.57/10.69 apply (zenon_L1143_); trivial.
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H127 ].
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H80 | zenon_intro zenon_H80 ].
% 10.57/10.69 apply (zenon_L1163_); trivial.
% 10.57/10.69 apply (zenon_L1163_); trivial.
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H80 | zenon_intro zenon_H80 ].
% 10.57/10.69 apply (zenon_L1173_); trivial.
% 10.57/10.69 apply (zenon_L1173_); trivial.
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H2e3 | zenon_intro zenon_H2e2 ].
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2e3). zenon_intro zenon_Hf2. zenon_intro zenon_H2de.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H23f. zenon_intro zenon_H2df.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H2e1. zenon_intro zenon_H2e0.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H240. zenon_intro zenon_H23d.
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H28 | zenon_intro zenon_H23e ].
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H203 ].
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H127 ].
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H80 | zenon_intro zenon_H80 ].
% 10.57/10.69 apply (zenon_L1212_); trivial.
% 10.57/10.69 apply (zenon_L1212_); trivial.
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H80 | zenon_intro zenon_H80 ].
% 10.57/10.69 apply (zenon_L1221_); trivial.
% 10.57/10.69 apply (zenon_L1221_); trivial.
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H127 ].
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H80 | zenon_intro zenon_H80 ].
% 10.57/10.69 apply (zenon_L1227_); trivial.
% 10.57/10.69 apply (zenon_L1227_); trivial.
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H80 | zenon_intro zenon_H80 ].
% 10.57/10.69 apply (zenon_L1229_); trivial.
% 10.57/10.69 apply (zenon_L1229_); trivial.
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H203 ].
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H127 ].
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H80 | zenon_intro zenon_H80 ].
% 10.57/10.69 apply (zenon_L1241_); trivial.
% 10.57/10.69 apply (zenon_L1241_); trivial.
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H80 | zenon_intro zenon_H80 ].
% 10.57/10.69 apply (zenon_L1244_); trivial.
% 10.57/10.69 apply (zenon_L1244_); trivial.
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H127 ].
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H80 | zenon_intro zenon_H80 ].
% 10.57/10.69 apply (zenon_L1276_); trivial.
% 10.57/10.69 apply (zenon_L1276_); trivial.
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H80 | zenon_intro zenon_H80 ].
% 10.57/10.69 apply (zenon_L1290_); trivial.
% 10.57/10.69 apply (zenon_L1290_); trivial.
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H2e2); [ zenon_intro zenon_H2e5 | zenon_intro zenon_H2e4 ].
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_H135. zenon_intro zenon_H2de.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H23f. zenon_intro zenon_H2df.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H2e1. zenon_intro zenon_H2e0.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H240. zenon_intro zenon_H23d.
% 10.57/10.69 apply (zenon_L1196_); trivial.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2e4). zenon_intro zenon_H84. zenon_intro zenon_H2de.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H23f. zenon_intro zenon_H2df.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H2e1. zenon_intro zenon_H2e0.
% 10.57/10.69 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H240. zenon_intro zenon_H23d.
% 10.57/10.69 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H80 | zenon_intro zenon_H80 ].
% 10.57/10.69 exact (zenon_H80 zenon_H84).
% 10.57/10.69 exact (zenon_H80 zenon_H84).
% 10.57/10.69 Qed.
% 10.57/10.69 % SZS output end Proof
% 10.57/10.69 (* END-PROOF *)
% 10.57/10.69 nodes searched: 200868
% 10.57/10.69 max branch formulas: 301
% 10.57/10.69 proof nodes created: 11988
% 10.57/10.69 formulas created: 57459
% 10.57/10.69
%------------------------------------------------------------------------------